Handbook of Optical Materials

HANDBOOK OF

OPTICAL MATERIALS

The CRC Press Laser and Optical Science and Technology Series Editor-in-Chief: Marvin J. Weber A.V. Dotsenko, L.B. Glebov, and V.A. Tsekhomsky

Physics and Chemistry of Photochromic Glasses Andrei M. Efimov

Optical Constants of Inorganic Glasses Alexander A. Kaminskii

Crystalline Lasers: Physical Processes and Operating Schemes Valentina F. Kokorina

Glasses for Infrared Optics Sergei V. Nemilov

Thermodynamic and Kinetic Aspects of the Vitreous State Piotr A. Rodnyi

Physical Processes in Inorganic Scintillators Michael C. Roggemann and Byron M. Welsh

Imaging Through Turbulence Shigeo Shionoya and William M. Yen

Phosphor Handbook Hiroyuki Yokoyama and Kikuo Ujihara

Spontaneous Emission and Laser Oscillation in Microcavities Marvin J. Weber, Editor

Handbook of Laser Science and Technology Volume I: Lasers and Masers Volume II: Gas Lasers Volume III: Optical Materials, Part 1 Volume IV: Optical Materials, Part 2 Volume V: Optical Materials, Part 3 Supplement I: Lasers Supplement II: Optical Materials Marvin J. Weber

Handbook of Laser Wavelengths Handbook of Lasers

HANDBOOK OF

OPTICAL MATERIALS Marvin J. Weber, Ph.D. Lawrence Berkeley National Laboratory University of California Berkeley, California

CRC PR E S S Boca Raton London New York Washington, D.C.

3512 disclaimer Page 1 Thursday, August 8, 2002 11:14 AM

Library of Congress Cataloging-in-Publication Data Weber, Marvin J., 1932Handbook of optical materials / Marvin J. Weber. p. cm. Includes bibliographical references and index. ISBN 0-8493-3512-4 (alk. paper) 1. Optical materials—Handbooks, manuals, etc. 2. Lasers—Handbooks, manuals, etc. 3. Electrooptics—Handbooks, manuals, etc. I. Title. QC374 .W43 2002 621.36—dc21

2002073628

This book contains information obtained from authentic and highly regarded sources. Reprinted material is quoted with permission, and sources are indicated. A wide variety of references are listed. Reasonable efforts have been made to publish reliable data and information, but the author and the publisher cannot assume responsibility for the validity of all materials or for the consequences of their use. Neither this book nor any part may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, microfilming, and recording, or by any information storage or retrieval system, without prior permission in writing from the publisher. The consent of CRC Press LLC does not extend to copying for general distribution, for promotion, for creating new works, or for resale. Specific permission must be obtained in writing from CRC Press LLC for such copying. Direct all inquiries to CRC Press LLC, 2000 N.W. Corporate Blvd., Boca Raton, Florida 33431. Trademark Notice: Product or corporate names may be trademarks or registered trademarks, and are used only for identification and explanation, without intent to infringe.

Visit the CRC Press Web site at www.crcpress.com © 2003 by CRC Press LLC No claim to original U.S. Government works International Standard Book Number 0-8493-3512-4 Library of Congress Card Number 2002073628 Printed in the United States of America 1 2 3 4 5 6 7 8 9 0 Printed on acid-free paper

Preface The Handbook of Optical Materials is a compilation of the physical properties of optical materials used in optical systems and lasers. It contains extensive data tabulations but with a minimum of narration, in a style similar to that of the CRC Handbook of Chemistry and Physics. References to original or secondary sources of the data are included throughout. The objective of the handbook is to provide a convenient, reliable source of information on the properties of optical materials. Data in a handbook of optical materials can be presented by material (e.g., SiO2, CaF2, Ge), by property (e.g., refractive index, thermal expansion, hardness), by wavelength region (e.g., infrared, visible, ultraviolet), or by application (e.g., transmitting optics, laser hosts, polarizers). In this handbook data are grouped by material properties. Thereby one can compare different materials with respect to their properties and suitability for a particular application. The volume is divided into sections devoted to various forms of condensed matter (crystals, glasses, polymers, metals), liquids, and gases. Within each section physical properties, linear and nonlinear optical properties, and many special properties such as electrooptic, magnetoopic, and elastooptic properties of the materials are tabulated. The optical solids included are mainly inorganic materials; optical liquids are mainly organic substances. If by an optical material one means a material that exhibits some optical property such as transmission, absorption, reflection, refraction, scattering, etc., the number of materials to be considered becomes unmanageable. Thus the inclusion of materials in this volume is selective rather than exhaustive. In the case of commercial optical glasses, for example, properties of representative types of glasses are given but not properties for all compositional variations. Glasses with special properties or for special applications are included, however. Bulk materials rather than thin films and multilayer structures are considered. Although optical glasses epitomizes an engineered material, other engineered optical materials such as nanomaterials, quantum wells, or photonic crystals are also not included (although one of the last is listed in Appendix II). Although today optics can encompass x-ray and millimeterwave optics, coverage is limited to materials for the spectral range from the vacuum ultraviolet (~100 nm) to the infrared (up to 100 µm) portion of the electromagnetic spectrum. Among optical materials and properties not treated explicitly are photorefractive materials, liquid crystals, optical fibers, phase-change optical recording materials, luminescent materials (phosphors, scintillators), optical damage, and materials preparation and fabrication. Much of the numerical data in this handbook is from Volumes III, IV, V, and Supplement 2 of the CRC Handbook of Laser Science and Technology. These volumes should be consulted for more detailed descriptions of properties and their measurement (the contents of the volumes and the contributors are given in the following pages). In many instances the data in these volumes have been reformatted and combined with additions and recent developments. Several new sections have been added. For example, gases can play various roles as © 2003 by CRC Press LLC

an optical material—as transmitting media, active media for Faraday rotation, frequency conversion, filter, and phase conjugation. Physical and optical properties of a selected number of gases are therefore included in a final section. The discovery of new optical materials has been accompanied by a somewhat bewildering and befuddling proliferation of abbreviations and acronyms. An appendix has been added to decode several hundred of these terms. Common or mineralogical names for optical materials are also included. Methods of preparing optical materials and thin films have developed their own terminology; many of these abbreviations are given in another appendix. This volume has benefited from the efforts of many contributors to the CRC Handbook of Laser Science and Technology series. I am indebted to them for what in many cases have been very extensive compilations. In the course of preparing this volume I have also benefited from other input provided by Mark Davis, Alexander Marker, Lisa Moore, John Myers, and Charlene Smith; these are gratefully acknowledged. Finally, I appreciate the excellent help provided by Project Editors Samar Haddad and Joette Lynch, Production Supervisor Helena Redshaw, and the staff of the CRC Press in the process of preparing this handbook. Marvin J. Weber Danville, California

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The Author Marvin John Weber received his education at the University of California, Berkeley, and was awarded the A.B., M.A., and Ph.D. degrees in physics. After graduation, Dr. Weber continued as a postdoctoral Research Associate and then joined the Research Division of the Raytheon Company where he was a Principal Scientist working in the areas of spectroscopy and quantum electronics. As Manager of Solid State Lasers, his group developed many new laser materials including rare-earth-doped yttrium orthoaluminate. While at Raytheon, he also discovered luminescence in bismuth germanate, a scintillator crystal widely used for the detection of high energy particles and radiation. During 1966 to 1967, Dr. Weber was a Visiting Research Associate with Professor Arthur Schawlow’s group in the Department of Physics, Stanford University. In 1973, Dr. Weber joined the Laser Program at the Lawrence Livermore National Laboratory. As Head of Basic Materials Research and Assistant Program Leader, he was responsible for the physics and characterization of optical materials for high-power laser systems used in inertial confinement fusion research. From 1983 to 1985, he accepted a transfer assignment with the Office of Basic Energy Sciences of the U.S. Department of Energy in Washington, DC, where he was involved with planning for advanced synchrotron radiation facilities and for atomistic computer simulations of materials. Dr. Weber returned to the Chemistry and Materials Science Department at LLNL in 1986 and served as Associate Division Leader for condensed matter research and as spokesperson for the University of California/National Laboratories research facilities at the Stanford Synchrotron Radiation Laboratory. He retired from LLNL in 1993 and is at present a staff scientist in the Department of Nuclear Medicine and Functional Imaging of the Life Sciences Division at the Lawrence Berkeley National Laboratory. Dr. Weber is Editor-in-Chief of the multi-volume CRC Handbook Series of Laser Science and Technology. He has also served as Regional Editor for the Journal of Non-Crystalline Solids, as Associate Editor for the Journal of Luminescence and the Journal of Optical Materials, and as a member of the International Editorial Advisory Boards of the Russian journals Fizika i Khimiya Stekla (Glass Physics and Chemistry) and Kvantovaya Elektronika (Quantum Electronics). Among several honors he has received are an Industrial Research IR-100 Award for research and development of fluorophosphate laser glass, the George W. Morey Award of the American Ceramics Society for his basic studies of fluorescence, stimulated emission, and the atomic structure of glass, and the International Conference on Luminescence Prize for his research on the dynamic processes affecting luminescence efficiency and the application of this knowledge to laser and scintillator materials. Dr. Weber is a Fellow of the American Physical Society, the Optical Society of America, and the American Ceramics Society and a member of the Materials Research Society.

© 2003 by CRC Press LLC

Contributors Stanley S. Ballard, Ph.D. University of Florida Gainesville, Florida

Larry G. DeShazer, Ph.D. Spectra Technology, Inc. Bellevue, Washington

Lee L. Blyler, Ph.D. AT&T Bell Laboratories Murray Hill, New Jersey

Marilyn J. Dodge, Ph.D. National Bureau of Standards Washington, DC

James S. Browder, Ph.D. Jacksonville University Jacksonville, Florida

Albert Feldman, Ph.D. National Institute of Standards and Technology Washington, DC

Allan J. Bruce, Ph.D. AT&T Bell Laboratories Murray Hill, New Jersey Hans Brusselbach, Ph.D. Hughes Research Laboratory Malibu, California Bruce H. T. Chai, Ph.D. Center for Research in Electro-Optics and Lasers University of Central Florida Orlando, Florida Lloyd Chase, Ph.D. Lawrence Livermore National Laboratory Livermore, California Di Chen, Ph.D. Honeywell Corporate Research Center Hopkins, Minnesota Lee M. Cook, Ph.D. Galileo Electro-Optic Corp. Sturbridge, Massachusetts

James W. Fleming, Ph.D. AT&T Bell Laboratories Murray Hill, New Jersey Anthony F. Garito, Ph.D. Department of Physics University of Pennsylvania Philadelphia, Pennsylvania Milton Gottlieb, Ph.D. Westinghouse Science and Technology Center Pittsburgh, Pennsylvania William R. Holland, Ph.D. AT&T Bell Laboratories Princeton, New Jersey Ivan P. Kaminow, Ph.D. AT&T Bell Laboratories Holmdel, New Jersey Donald Keyes U.S. Precision Lens, Inc. Cincinnati, Ohio

Gordon W. Day, Ph.D. National Institute of Standards and Technology Boulder, Colorado

Marvin Klein, Ph.D. Hughes Research Laboratory Malibu, California

Merritt N. Deeter, Ph.D. National Institute of Standards and Technology Boulder, Colorado

Mark Kuzyk, Ph.D. Department of Physics Washington State University Pullman, Washington

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David W. Lynch, Ph.D. Iowa State University Ames, Iowa

Robert Sacher R. P. Cargille Laboratories, Inc. Cedar Grove, New Jersey

Fred Milanovich, Ph.D. Lawrence Livermore National Laboratory Livermore, California

William Sacher R. P. Cargille Laboratories, Inc. Cedar Grove, New Jersey

Monica Minden, Ph.D. Hughes Research Laboratory Malibu, California

N. B. Singh, Ph.D. Westinghouse Science and Technology Center Pittsburgh, Pennsylvania

Duncan T. Moore, Ph.D. University of Rochester Rochester, New York Lisa A. Moore, Ph.D. Corning, Inc. Corning, New York Egberto Munin, Ph.D. Universidade de Campinas Campinas, Brazil David M. Pepper, Ph.D. Hughes Research Laboratory Malibu, California Stephen C. Rand, Ph.D. Hughes Research Laboratory Malibu, California Charles F. Rapp, Ph.D. Owens Corning Fiberglass Granville, Ohio John F. Reintjes, Ph.D. Naval Research Laboratory Washington, DC Allen H. Rose, Ph.D. National Institute of Standards and Technology Boulder, Colorado

© 2003 by CRC Press LLC

Shobha Singh, Ph.D. AT&T Bell Laboratories Murray Hill, New Jersey, and Polaroid Corporation Cambridge, Massachusetts Charlene M. Smith, Ph.D. Corning, Inc. Corning, New York Stanley Stokowski, Ph.D. Lawrence Livermore National Laboratory Livermore, California David S. Sumida, Ph.D. Hughes Research Laboratory Malibu, California Eric W. Van Stryland, Ph.D. Center for Research in Electro-Optics and Lasers University of Central Florida Orlando, Florida Barry A. Wechsler, Ph.D. Hughes Research Laboratory Malibu, California

Contents of previous volumes on optical materials from the CRC HANDBOOK OF LASER SCIENCE AND TECHNOLOGY VOLUME III: OPTICAL MATERIALS PART 1: NONLINEAR OPTICAL PROPERTIES/RADIATION DAMAGE SECTION 1: NONLINEAR OPTICAL PROPERTIES 1.1 Nonlinear and Harmonic Generation Materials — Shobha Singh 1.2 Two-Photon Absorption — Walter L. Smith 1.3 Nonlinear Refractive Index — Walter L. Smith 1.4 Stimulated Raman Scattering — Fred Milanovich SECTION 2: RADIATION DAMAGE 2.1 Introduction — Richard T. Williams and E. Joseph Friebele 2.2 Crystals — Richard T. Williams 2.3 Glasses — E. Joseph Friebele VOLUME IV: OPTICAL MATERIALS PART 2: PROPERTIES SECTION 1: FUNDAMENTAL PROPERTIES 1.1 Transmitting Materials 1.1. 1 Crystals — Perry A. Miles, Marilyn J. Dodge, Stanley S. Ballard, James S. Browder, Albert Feldman, and Marvin J. Weber 1.1. 2 Glasses — James W. Fleming 1.1.3 Plastics — Monis Manning 1.2 Filter Materials — Lee M. Cook and Stanley E. Stokowski 1.3 Mirror and Reflector Materials — David W. Lynch 1.4 Polarizer Materials — Jean M. Bennett and Ann T. Glassman SECTION 2: SPECIAL PROPERTIES 2.1 Linear Electro-Optic Materials — Ivan P. Kaminow 2.2 Magneto-Optic Materials — Di Chen 2.3 Elasto-Optic Materials — Milton Gottlieb 2.4 Photorefractive Materials — Peter Günter 2.5 Liquid Crystals — Stephen D. Jacobs VOLUME V: OPTICAL MATERIALS PART 3: APPLICATIONS, COATINGS, AND FABRICATION SECTION 1: APPLICATIONS 1.1 Optical Waveguide Materials — Peter L. Bocko and John R. Gannon 1.2 Materials for High Density Optical Data Storage — Alan E. Bell 1.3 Holographic Parameters and Recording Materials — K. S. Pennington 1.4 Phase Conjugation Materials — Robert A. Fisher 1.5 Laser Crystals — Charles F. Rapp 1.7 Infrared Quantum Counter Materials — Leon Esterowitz SECTION 2: THIN FILMS AND COATINGS 2.1 Multilayer Dielectric Coatings — Verne R. Costich 2.2 Graded-Index Surfaces and Films — W. Howard Lowdermilk SECTION 3: OPTICAL MATERIALS FABRICATION 3.1 Fabrications Techniques — G. M. Sanger and S. D. Fantone 3.2 Fabrication Procedures for Specific Materials — G. M. Sanger and S. D. Fantone © 2003 by CRC Press LLC

SUPPLEMENT 2: OPTICAL MATERIALS SECTION 1. OPTICAL CRYSTALS — Bruce H. T. Chai SECTION 2. OPTICAL GLASSES — James W Fleming SECTION 3. OPTICAL PLASTICS — Donald Keyes SECTION 4. OPTICAL LIQUIDS — Robert Sacher and William Sacher SECTION 5. FILTER MATERIALS — Lee M. Cook SECTION 6. LINEAR ELECTROOPTIC MATERIALS — William R. Holland and Ivan P. Kaminow SECTION 7. NONLINEAR OPTICAL MATERIALS 7.1 Crystals — Shobha Singh 7.2 Cluster-Insulator Composite Materials — Joseph H. Simmons, Barrett G. Potter, Jr., and O. Romulo Ochoa SECTION 8. NONLINEAR OPTICAL PROPERTIES 8.1 Nonlinear Refractive Index : Inorganic Materials — Lloyd Chase and Eric W. Van Stryland Organic Materials — Anthony F. Garito and Mark Kuzyk 8.2 Two-Photon Absorption: Inorganic Materials — Lloyd Chase and Eric W. Van Stryland Organic Materials — Anthony F. Garito and Mark Kuzyk 8.3 Stimulated Raman and Brillouin Scattering — John F. Reintjes SECTION 9. MAGNETOOPTIC MATERIALS 9.1 Crystals and Glasses — Merritt N. Deeter, Gordon W. Day, and Allen H. Rose 9.2 Organic and Inorganic Liquids — Egberto Munin SECTION 10. ELASTOOPTIC MATERIALS — M. Gottlieb and N. B. Singh SECTION 11. PHOTOREFRACTIVE MATERIALS — Carolina Medrano and Peter Günter SECTION 12. OPTICAL PHASE CONJUGATION MATERIALS — David M. Pepper, Marvin Klein, Monica Minden, Hans Brusselbach SECTION 13. GRADIENT INDEX MATERIALS — Duncan T. Moore SECTION 14. LIQUID CRYSTALS — Stephen D. Jacobs, Kenneth L. Marshall, and Ansgar Schmid SECTION 15. DIAMOND OPTICS — Albert Feldman SECTION 16. LASER CRYSTALS — David S. Sumida and Barry A. Wechsler SECTION 17. LASER GLASSES 17.1 Bulk Glasses — Charles F. Rapp 17.2 Waveguide Glasses — Steven T. Davey, B. James Ainslie, and Richard Wyatt

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SECTION 18. OPTICAL WAVEGUIDE MATERIALS 18.1 Crystals — Patricia A. Morris Hotsenpiller 18.2 Glasses — Allen J. Bruce 18.3 Plastic Optical Fibers — Lee L. Blyler, Jr. SECTION 19. OPTICAL COATINGS FOR HIGH POWER LASERS — Mark R. Kozlowski, Robert Chow, and Ian M. Thomas APPENDIX 1. ABBREVIATIONS, ACRONYMS, INITIALISMS, AND MINERALOGICAL OR COMMON NAMES FOR OPTICAL MATERIALS APPENDIX 2. ABBREVIATIONS FOR METHODS OF PREPARING OPTICAL MATERIALS APPENDIX 3. DESIGNATIONS OF RUSSIAN OPTICAL GLASSES Leonid B. Glebov and Mikhail N. Tolstoi

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Table of Contents SECTION 1: CRYSTALLINE MATERIALS 1.1 Introduction 1.2 Physical Properties 1.2.1 Isotropic Crystals 1.2.2 Uniaxial Crystals 1.2.3 Biaxial Crystals 1.3 Optical Properties 1.3.1 Isotropic Crystals 1.3.2 Uniaxial Crystals 1.3.3 Biaxial Crystals 1.3.4 Dispersion Formulas for Refractive Index 1.3.5 Thermooptic Coefficients 1.4 Mechanical Properties 1.4.1 Elastic Constants 1.4.2 Elastic Moduli 1.4.3 Engineering Data 1.5 Thermal Properties 1.5.1 Melting Point, Heat Capacity, Thermal Expansion, Conductivity 1.5.2 Temperature Dependence of Heat Capacity for Selected Solids 1.5.3 Debye Temperature 1.6 Magnetooptic Properties 1.6.1 Diamagnetic Crystals 1.6.2 Paramagnetic Crystals 1.6.3 Ferromagnetic, Antiferromagnetic, and Ferrimagnetic Crystals 1.7 Electrooptic Properties 1.7.1 Linear Electrooptic Coefficients 1.7.2 Quadratic Electrooptic Materials 1.8 Elastrooptic Properties 1.8.1 Elastooptic Coefficients 1.8.2 Acoustooptic Materials 1.9 Nonlinear Optical Properties 1.9.1 Nonlinear Refractive Index 1.9.2 Two-Photon Absorption 1.9.3 Second Harmonic Generation Coefficients 1.9.4 Third-Order Nonlinear Optical Coefficients 1.9.5 Optical Phase Conjugation Materials SECTION 2: GLASSES 2.1 Introduction 2.2 Commercial Optical Glasses 2.2.1 Optical Properties 2.2.2 Internal Transmittance 2.2.3 Mechanical Properties 2.2.4 Thermal Properties 2.3 Specialty Optical Glasses © 2003 by CRC Press LLC

2.3.1 Optical Properties 2.3.2 Mechanical Properties 2.3.3 Thermal Properties 2.4 Fused Silica 2.5 Fluoride Glasses 2.5.1 Fluorozirconate Glasses 2.5.2 Fluorohafnate Glasses 2.5.3 Other Fluoride Glasses 2.6 Chalcogenide Glasses 2.7 Magnetooptic Properties 2.7.1 Diamagnetic Glasses 2.7.2 Paramagnetic Glasses 2.8 Electrooptic Properties 2.9 Elastooptic Properties 2.10 Nonlinear Optical Properties 2.10.1 Nonlinear Refractive Index 2.10.2 Two-Photon Absorption 2.10.3 Third-Order Nonlinear Optical Coefficients 2.10.4 Brillouin Phase Conjugation 2.11 Special Glasses 2.11.1 Filter Glasses 2.11.2 Laser Glasses 2.11.3 Faraday Rotator Glasses 2.11.4 Gradient-Index Glasses 2.11.5 Mirror Substrate Glasses 2.11.6 Athermal Glasses 2.11.7 Acoustooptic Glasses 2.11.8 Abnormal Dispersion Glasses SECTION 3: POLYMERIC MATERIALS 3.1 Optical Plastics 3.2 Index of Refraction 3.3 Nonlinear Optical Properties 3.4 Thermal Properties 3.5 Engineering Data SECTION 4: METALS 4.1 Physical Properties of Selected Metals 4.2 Optical Properties 4.3 Mechanical Properties 4.4 Thermal Properties 4.5 Mirror Substrate Materials SECTION 5: LIQUIDS 5.1 Introduction 5.2 Water 5.2.1 Physical Properties 5.2.2 Absorption © 2003 by CRC Press LLC

5.3

5.4

5.5

5.6

5.7

5.2.3 Index of Refraction Physical Properties of Selected Liquids 5.3.1 Thermal Conductivity 5.3.2 Viscosity 5.3.3 Surface Tension 5.3.4 Absorption Index of Refraction 5.4.1 Organic Liquids 5.4.2 Inorganic Liquids 5.4.3 Calibration Liquids 5.4.4 Abnormal Dispersion Liquids Nonlinear Optical Properties 5.5.1 Two-Photon Absorption Cross Sections 5.5.2 Nonlinear Refraction 5.5.3 Kerr Constants 5.5.4 Third-Order Nonlinear Optical Coefficients 5.5.5 Stimulated Raman Scattering 5.5.6 Stimulated Brillouin Scattering Magnetooptic Properties 5.6.1 Verdet Constants of Inorganic Liquids 5.6.2 Verdet Constants of Organic Liquids 5.6.3 Dispersion of Verdet Constants Commercial Optical Liquids

SECTION 6: GASES 6.1 Introduction 6.2 Physical Properties of Selected Gases 6.3 Index of Refraction 6.4 Nonlinear Optical Properties 6.4.1 Nonlinear Refractive Index 6.4.2 Two-Photon Absorption 6.4.3 Third-Order Nonlinear Optical Coefficients 6.4.4 Stimulated Raman Scattering 6.4.5 Brillouin Phase Conjugation 6.5 Magnetooptic Properties 6.6 Atomic Resonance Filters APPENDICES Appendix I Appendix II

Safe Handling of Optical Materials Abbreviations, Acronyms, Initialisms, and Mineralogical or Common Names of Optical Materials Appendix III Abbreviations for Methods of Preparing Optical Materials and Thin Films Appendix IV Fundamental Physical Constants Appendix V Units and Conversion Factors

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Section 1: Crystalline Materials

1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9

Introduction Physical Properties Optical Properties Mechanical Properties Thermal Properties Magnetooptic Properties Electrooptic Properties Elastooptic Properties Nonlinear Optical Properties

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Section 1: Crystalline Materials

3

Section 1 CRYSTALLINE MATERIALS 1.1 Introduction* Crystalline materials included in this section are insulators and semiconductors that have a transparent region within the range from the vacuum ultraviolet (from ~100 nm) to the infrared (up to 100 µm) portion of the electromagnetic spectrum. Crystals with wide band gaps are transparent from the ultraviolet through the visible region; crystals with a narrower band gap may appear opaque but are transparent in the infrared region. Using this broad transparency definition of optical crystals, virtually all known crystals can be included. Coverage, however, is limited to those crystals which either occur in nature or are produced in the laboratory for optical use or with potential for such use. For this reason hydrate or hydroxide crystals are generally excluded because they are thermally less stable and have limited tranmission range due to OH absorption. Highly hygroscopic materials are also excluded because of the obvious difficulty of handling, unless they have already been used, such as urea, KDP, CD*A, etc. Only pure compounds are considered. Compounds containing elements having intrinsic absorptions due to incompletely filled d or f shell electrons are also avoided. Other critical issues for the use of optical crystals are solid-state phase transitions that occur as a function of both temperature and pressure and polymorphism. Compounds that have a very small stability field or serious phase transition problems have limited use as optical materials. Phase change and decomposition temperatures of crystals are noted in Section 1.5 on thermal properties. Generally only the thermodynamically stable structure at room temperature and pressure are listed in this section. Compounds that have naturally occurring polymorphic forms are included, however, e.g., CaCO3, TiO2, and aluminum silicate Al2SiO5. In other cases, only the stable phase is listed, e.g., quartz (α-SiO2). Many compounds were considered appropriate as entries of optical crystals in Sections 1.1–1.3 regardless of the amount of information available. As Chai* has noted, merely showing the existence of a compound with its chemical constituents can help to estimate the stability of its isomorphs and the structural tolerance of doping or other modifications. Most of the basic material properties such as optical transparency and refractive indices of an unstudied compound can be estimated with reasonable accuracy based on its better studied isomorphs that have measured properties listed in the tables. Optical crystals in Sections 1.1–1.3 are classified into three categories: Isotropic crystals include materials through which monochromatic light travels with the same speed, regardless of the direction of vibration, and the vibration direction of a light ray is always perpendicular to the ray path. Whereas amorphous materials such as glasses and plastics are isotropic, only those crystals with cubic symmetry are isotropic.

* This section was adapted from “Optical crystals” by B. H. T. Chai, Handbook of Laser Science and Technology, Suppl. 2, Optical Materials (CRC Press, Boca Raton, FL, 1995), p. 3 ff (with additions). © 2003 by CRC Press LLC

Anisotropic crystals include materials through which a light ray may travel with different speeds for different directions of vibration and in which the angle between the vibration directions and ray path may not always be 90°. The index of refraction of such crystals varies according to the vibration direction of the light; the optical indicatrix is no longer a sphere but an ellipsoid. Depending on the geometry of the ellipsoid, it is necessary to divide the class of the anisotropic materials further into two subgroups. Crystals with tetragonal, hexagonal, and trigonal (or rhombohedral) symmetry exhibit a unique index of refraction (symbolized as e or ε) when light vibrates parallel to the c-axis (the extraordinary ray). For light vibrating at 90° to the c-axis (the ordinary ray), the refractive indices are the same (symbolized as o or ω) in all 360° directions. Crystals with these types of optical properties are called uniaxial crystals. Crystals with orthorhombic, monoclinic, and triclinic symmetry possess three significant indices of refraction, commonly symbolized as x, y, and z or α, β, and γ in the order from smallest to largest. The shape of the indicatrix is a three-dimensional ellipsoid with all central sections being ellipses, except for two. These two are circular sections with a radius of β. The normal of the two circular sections are called the optical axes. Crystals with these types of optical properties are called biaxial crystals. In Sections 1.2 and 1.3 crystals are grouped as isotropic, uniaxial, and biaxial. Crystal symmetry plays a critical role in the selection of material for optical applications. Optically isotropic crystals are used most frequently for windows and lenses although a uniaxial single crystal (such as sapphire) precisely oriented along the optical axis can be used as a window material. Faraday rotator crystals for optical isolators based must be cubic or uniaxial, not biaxial. Anisotropic single crystals are widely used for other specific optical applications such as the polarizers, optical wave plates, and wedges. In nonlinear frequency conversion, all the optical materials used at present must not only be crystalline but also highly anisotropic and noncentrosymmetric. For simplicity of crystal orientation and fabrication, materials with highest symmetry are preferred. It is easy to orient crystals with cubic (isometric), tetragonal, and hexagonal (uniaxial) symmetries. For the biaxial crystals, orthorhombic symmetry is still relatively easy to orient because all the crystallographic axes are still orthogonal and in alignment with the optical indicatrix axes. In monoclinic crystals, the crystallographic a- and c-axes are no longer orthogonal. With the exception of the b-axis, two of the optical indicatrix axes are no longer aligned with the crystallographic ones. With a few exceptions, crystals with triclinic symmetry are not listed because they are difficult to orient and have too many parameters to define (no degeneracy at all). The preceding symmetry properties of a crystal structure refer to space group operations. For measured macroscopic properties the point group (the group of operations under which the property remains unchanged) is of interest. Eleven of the 32 point groups are centrosymmetric. Except for cubic 432, the remaining groups exhibit polarization when the crystal is subject to an applied stress (piezoelectric). Ten of these latter groups possess a unique polar axis and are pyroelectric, i.e., spontaneous polarize in the absence of stress. Crystallographic point groups and related properties are listed in the following table.

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Crystallographic Point Groups and Properties Crystal system Cubic

Hexagonal

Tetragonal

Trigonal

Orthorhombic

Monoclinic

Triclinic

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International symbol m3m

Schoenflies symbol Oh

−43m

Td

432

O

m3

Th

23

T

6/mmm

D6h

−6m2

D3h

6mm

C6v

622

D6

6/m

C6h

−6

C3h

6

C6

4/mmm

D4h

−42m

D2d

4mm

C4v

422

D4

4/m

C4h

−4

S4

4

C4

−3m

D3d

3m

C3v

32

D3

−3

S6

3

C3

mmm

D2h

mm2

C2v

222

D2

2/m

C2h

m

Cs

2

C2

−1

Ci

1

C1

Centrosymmetric

Piezoelectric

Pyroelectric

Crystals in the following table are listed alphabetically by chemical name (with mineral name* and acronym in parentheses) and include the chemical formula, crystal system, and space group. In the space group notation, a negative number indicates inversion symmetry.

* A mineralogy database containing names, physical properties, and an audio pronunciation guide for a very large number of materials is available at www.webmineral.com. Name, Formula, Crystal System, and Space Group for Optical Crystals Name Aluminum antimonide Aluminum arsenate Aluminum arsenide Aluminum borate Aluminum borate Aluminum fluoride Aluminum fluorosilicate (topaz) Aluminum gallate Aluminum germanate Aluminum germanate Aluminum germanate Aluminum hafnium tantalate Aluminum molybdate Aluminum niobate Aluminum nitride Aluminum oxide (corundum, sapphire, alumina) Aluminum oxynitrate (ALON) Aluminum phosphate (berlinite) Aluminum phosphide Aluminum silicate (andalusite) Aluminum silicate (kyanite) Aluminum silicate (mullite) Aluminum silicate (sillimanite) Aluminum tantalate (alumotantite) Aluminum titanium tantalate Aluminum tungstate Amino carbonyl (urea) Ammonium aluminum selenate Ammonium aluminum sulfate Ammonium dihydrogen phosphate (ADP) Ammonium gallium selenate Ammonium gallium sulfate Ammonium pentaborate Antimony niobate (stibiocolumbite) Antimony oxide (senarmontite)

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Formula

Crystal system (Space group)

AlSb AlAsO4 AlAs AlBO3 Al4B2O9 AlF3 Al2SiO4F2 AlGaO3 Al2Ge2O7 Al6Ge2O13 Al6Ge2O13 AlHfTaO6 Al2(MoO4)3 AlNbO4 AlN Al2O3 Al23O27N5 AlPO4 AlP Al2SiO5 Al2SiO5 Al6Si2O13 Al2SiO5 AlTaO4 AlTiTaO6 Al2(WO4)3 (NH2)2CO NH4Al(SeO4)2 NH4Al(SO4)2 NH4H2PO4 NH4Ga(SeO4)2 NH4Ga(SO4)2 NH4B5O8•4H2O SbNbO4 Sb2O3

Cubic (F−43m) Trigonal (P312) Cubic (F−43m) Trigonal (R − 3 c) Orthorhombic (Pbam) Rhombohedral (R32) Orthorhombic (Pbnm) Hexagonal (P63mmc) Monoclinic (C2/c) Orthorhombic (Pbnm) Orthorhombic (Pbnm) Orthorhombic (Pbcn) Monoclinic (P21/a) Monoclinic (C2/m) Hexagonal (6 3mc) Trigonal (R − 3 c) Cubic (F d 3m) Trigonal (P312) Hexagonal (6 3mc) Orthorhombic (Pmam) Triclinic (P − 1 ) Orthorhombic (Pbnm) Orthorhombic (Pbnm) Orthorhombic (Pc21n) Tetragonal (P42/mmm) Orthorhombic (Pcna) Tetragonal (I−42m) Trigonal (P321) Trigonal (P321) Tetragonal (I−42m) Trigonal (P321) Trigonal (P321) Orthorhombic (Aba2) Orthorhombic (Pna21) Cubic (Fd3m)

Name, Formula, Crystal System, and Space Group for Optical Crystals—continued Name Antimony oxide (valentinite) Antimony tantalate (stibiotantalite) Arsenic antimony sulfide (getchellite) Arsenic oxide (arsenolite) Arsenic sulfide (orpiment) Arsenic sulfide (realgar) Barium aluminate Barium aluminate Barium aluminum borate Barium aluminum fluoride Barium aluminum germanate Barium aluminum silicate (celsian) Barium antimonate Barium beryllium fluorophosphate (babefphite) Barium beryllium silicate (barylite) Barium tetraborate Barium borate Barium cadmium aluminum fluoride Barium cadmium gallium fluoride Barium cadmium magnesium aluminum fluoride Barium calcium magnesium aluminum fluoride Barium calcium magnesium silicate Barium calcium silicate (walstromite) Barium carbonate (witherite) Barium chloroarsenate (movelandite) Barium chloroborate Barium chlorophosphate (alforsite) Barium chlorovanadate Barium fluoride-calcium fluoride (T-12) Barium fluoride (frankdicksonite) Barium fluoroarsenate Barium fluorophosphate Barium fluorovanadate Barium gallium fluoride Barium germanate Barium germanate Barium germanate Barium germanium aluminate Barium germanium gallate Barium hexa-aluminate Barium lithium niobate Barium lutetium borate Barium magnesium aluminum fluoride

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Formula Sb2O3 SbTaO4 AsSbS3 As2O3 As2S3 AsS BaAl2O4 Ba3Al2O6 BaAl2B2O7 Ba3Al2F12 BaAl2Ge2O8 BaAl2Si2O8 BaSb2O6 BaBe(PO4)F BaBe2Si2O7 BaB4O7 ß-BaB2O4 BaCdAlF7 BaCdGaF7 Ba2CdMgAl2F14 Ba2CaMgAl2F14 BaCa2Mg(SiO4)2 BaCa2Si3O9 BaCO3 Ba5(AsO4)3Cl Ba2B5O9Cl Ba5(PO4)3Cl Ba5(VO4)3Cl BaF2-CaF2 BaF2 Ba5(AsO4)3F Ba5(PO4)3F Ba5(VO4)3F BaGaF5 BaGeO3 BaGe2O5 BaGe4O9 BaGeAl6O12 BaGeGa6O12 BaAl12O19 Ba2LiNb5O15 Ba3Lu(BO3)3 Ba2MgAlF9

Crystal system (Space group) Orthorhombic (Pccn) Orthorhombic (Pc21n) Monoclinic (P21/a) Cubic (Fd3m) Monoclinic (P21n) Monoclinic (P21n) Hexagonal (P6322) Cubic (Pa3) Monoclinic (P2/c) Orthorhombic (Pnnm) Monoclinic (P21/a) Monoclinic (I2/a) Triclinic (P − 3 1m) Hexagonal(P –6c2) Orthorhombic (Pnma) Monoclinic (P21/c) Trigonal (R3c) Monoclinic (C2/c) Monoclinic (C2/c) Monoclinic (C2/c) Monoclinic (C2/c) Orthorhombic Triclinic(P−1) Orthorhombic (Pnam) Hexagonal(P63/m) Tetragonal (P4221 –2) Hexagonal(P63/m) Hexagonal(P63/m) Cubic (Fm3m) Cubic (Fm3m) Hexagonal(P63/m) Hexagonal(P63/m) Hexagonal(P63/m) Orthorhombic (P212121) Orthorhombic Monoclinic (P21/a) Hexagonal(P –6c2) Orthorhombic (Pnnm) Othorhombic (Pnnm) Hexagonal (P63/mmc) Orthorhombic (Im2a) Hexagonal(P63cm) Tetragonal (P4)

Name, Formula, Crystal System, and Space Group for Optical Crystals—continued Name Barium magnesium fluoride Barium magnesium fluoride Barium magnesium germanate Barium magnesium silicate Barium magnesium tantalate Barium magnesium vanadate Barium molybdate Barium niobate Barium nitrate (nitrobarite) Barium scandate Barium scandate Barium scandate Barium silicate (sabbornite) Barium sodium niobate Barium sodium phosphate Barium strontium niobate Barium strontium tantalate Barium sulfate (barite) Barium tantalate Barium tantalate Barium tin borate Barium tin silicate (pabstite) Barium titanate Barium titanate Barium titanium aluminate Barium titanium aluminate Barium titanium borate Barium titanium gallate Barium titanium oxide Barium titanium silicate (benitoite) Barium titanium silicate (fresnoite) Barium tungstate Barium vanadate Barium yttrium borate Barium yttrium fluoride Barium yttrium oxide Barium zinc aluminum fluoride Barium zinc fluoride Barium zinc fluoride Barium zinc fluoride Barium zinc gallium fluoride Barium zinc germanate Barium zinc germanate

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Formula BaMgF4 Ba2MgF6 Ba2MgGe2O7 Ba2MgSi2O7 Ba3MgTa2O9 BaMg2(VO4)2 BaMoO4 BaNb2O6 Ba(NO3)2 Ba2Sc4O9 BaSc2O4 Ba6Sc6O15 β-BaSi2O5 Ba2NaNb5O15 Ba2Na(PO5)5 Ba3SrNb2O9 Ba3SrTa2O9 BaSO4 BaTa2O6 BaTa2O6 BaSnB2O6 BaSnSi3O9 BaTiO3 BaTiO3 BaTiAl6O12 Ba3TiAl10O20 BaTiB2O6 BaTiGa6O12 BaTi4O9 BaTiSi3O9 Ba2TiSi2O8 BaWO4 Ba3(VO4)2 Ba3Lu(BO3)3 BaY2F8 BaY2O4 Ba2ZnAlF9 BaZnF4 Ba2Zn3F10 Ba2ZnF6 Ba2ZnGaF9 BaZnGeO4 Ba2ZnGe2O7

Crystal system (Space group) Orthorhombic (A21am) Tetragonal (I422) Tetragonal (P421m) Tetragonal (P421m) Cubic (Fm3m) Tetragonal (I41/acd) Tetragonal (I41/a) Orthorhombic (Pcan) Cubic (P213) Trigonal(R−3) Monoclinic (C2/c) Tetragonal Orthorhombic (Pmnb) Orthorhombic (Im2a) Orthorhombic (P212121)) Hexagonal (P63/mmc) Hexagonal (P63/mmc) Orthorhombic (Pbnm) Orthorhombic (Pcan) Orthorhombic (Pcan) Trigonal(R−3) Hexagonal (P − 6 c2) Cubic (Fm3m) Tetragonal (Pm3m) Orthorhombic (Pnnm) Monoclinic (C2/m) Trigonal(R−3) Orthorhombic (Pnnm) Orthorhombic (Pnmm) Hexagonal (P − 6 c2) Tetragonal (P4bm) Tetragonal (I41/a) Rhombohedral (R − 3 m) Hexagonal(P63cm) Monoclinic (C2/m) Orthorhombic (Pnab) Orthorhombic (Pnma) Othorhombic (C222) Monoclinic (C2/m) Tetragonal (I422) Monoclinic (P21/n) Hexagonal (P63) Tetragonal (P421m)

Section 1: Crystalline Materials Name, Formula, Crystal System, and Space Group for Optical Crystals—continued Name Barium zinc silicate Barium zinc silicate Barium zirconium silicate Barium zirconium silicate Barium zirconium silicate (bazirite) Beryllium aluminate Beryllium aluminate (chrysoberyl) Beryllium aluminum silicate (beryl) Beryllium fluoroborate (hambergite) Beryllium germanate Beryllium magnesium aluminate (taaffeite) Beryllium oxide (bormellite) Beryllium scandium silicate (bazzite) Beryllium silicate (phenakite) Bismuth aluminate Bismuth antimonate Bismuth borate Bismuth germanate Bismuth germanate Bismuth germanate Bismuth germanate (BGO) Bismuth metaborate Bismuth molybdate Bismuth molybdate Bismuth niobate Bismuth oxide (bismite) Bismuth oxymolybdate (koechlinite) Bismuth oxytungstate (rusellite) Bismuth silicate Bismuth silicate (eulytite) Bismuth silicate (sillenite, BSO) Bismuth tantalate Bismuth tin oxide Bismuth titanate Bismuth titanium niobate Bismuth titanium oxide Bismuth vanadate (clinobisvanite) Bismuth vanadate (dreyerite) Bismuth vanadate (pucherite) Boron nitride Boron phosphide Cadmium antimonade Cadmium borate

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Formula Ba2ZnSi2O7 BaZnSiO4 Ba2ZrSi2O8 Ba2Zr2Si3O12 BaZrSi3O9 BeAl6O10 BeAl2O4 Be3Al2Si6O18 Be2BO3F Be2GeO4 BeMg3Al8O16 BeO Be3Sc2Si6O18 Be2SiO4 Bi2Al4O9 BiSbO4 Bi4B2O9 Bi2Ge3O9 Bi2GeO5 Bi12GeO20 Bi4Ge3O12 BiB3O6 Bi2Mo2O9 Bi2Mo3O12 BiNbO4 Bi2O3 γ-Bi2MoO6 Bi2WO6 Bi2SiO5 Bi4Si3O12 Bi12SiO20 BiTaO4 Bi2Sn2O7 Bi4Ti3O12 Bi3TiNbO9 Bi12TiO20 BiVO4 BiVO4 BiVO4 BN BP Cd2Sb2O7 CdB4O7

Crystal system (Space group) Tetragonal (P421m) Hexagonal (P63) Tetragonal (P4bm) Cubic (P213) Hexagonal (P6322) Orthorhombic (Pca2) Orthorhombic (Pnma) Hexagonal (P6/mcc) Monoclinic (C21) Trigonal(R−3) Hexagonal Hexagonal (P63/mc) Hexagonal (P6/mcc) Trigonal(R−3) Orthorhombic (Pbam) Monoclinic (P21/c) Monoclinic (P21/c) Hexagonal (P63/m) Orthorhombic (Cmc21) Cubic (I23) Cubic (I43d) Monoclinic (2/m) Monoclinic (P21/m) Monoclinic (P21/m) Orthorhombic (Pann) Monoclinic (P21/c) Orthorhombic (Pba2) Orthorhombic (Pba2) Orthorhombic (Cmc21) Cubic (I43d) Cubic (I23) Orthorhombic (Pnna) Hexagonal (P63/m) Orthorhombic (B2cb) Orthorhombic (A21am) Cubic (I23) Monoclinic (I2/a) Tetragonal (I41/amd) Orthorhombic (Pnca) Cubic (F−43m) Cubic (F−43m) Cubic (Fd3m) Orthorhombic (Pbca)

9

10

Handbook of Optical Materials Name, Formula, Crystal System, and Space Group for Optical Crystals—continued Name

Cadmium borate Cadmium borate Cadmium borate Cadmium carbonate (otavite) Cadmium chloride Cadmium chloroarsenate Cadmium chlorophosphate Cadmium chlorovanadate Cadmium fluoride Cadmium fluorophosphate Cadmium gallate Cadmium germanate Cadmium germanium arsenide Cadmium germanium phosphide Cadmium indium oxide spinel Cadmium iodide Cadmium niobate Cadmium oxide (monteponite) Cadmium scandium germanate Cadmium selenide (cadmoselite) Cadmium silicon arsenide Cadmium silicon phosphide Cadmium sulfide (greenockite) Cadmium tellurite (Irtran 6) Cadmium tin arsenide Cadmium tin borate Cadmium tin phosphide Cadmium titanate Cadmium tungstate Cadmium vanadate Cadmium vanadate Calcium aluminate Calcium aluminate Calcium aluminate Calcium aluminate Calcium aluminate (brownmillerite) Calcium aluminate (mayenite) Calcium aluminum borate Calcium aluminum borate Calcium aluminum borate (johachidolite) Calcium aluminum fluoride Calcium aluminum fluoride Calcium aluminum fluoride (prosopite)

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Formula

Crystal system (Space group)

Cd2B2O5 Cd2B6O11 CdB2O4 CdCO3 CdCl2 Cd5(AsO4)3Cl Cd5(PO4)3Cl Cd5(VO4)3Cl CdF2 Cd5(PO4)3F CdGa2O4 Cd2GeO4 CdGeAs2 CdGeP2 CdIn2O4 CdI2 Cd2Nb2O7 CdO Cd3Sc2Ge3O12 CdSe CdSiAs2 CdSiP2 CdS CdTe CdSnAs2 CdSnB2O6 CdSnP2 CdTiO3 CdWO4 CdV2O6 Cd2V2O7 CaAl2O4 Ca3Al2O6 CaAl4O7 Ca5Al6O14 Ca2Al2O5 Ca12Al14O33 CaAlBO4 CaAl2B2O7 CaAlB3O7 CaAlF5 Ca2AlF7 CaAl2F8

Triclinic (P1) Monoclinic (P21/b) Cubic (P –43m) Rhombohedral (R − 3 c ) Rhombohedral (R−3m) Hexagonal (P63/m) Hexagonal(P63/m) Hexagonal (P63/m) Cubic (Fm3m) Hexagonal (P63/m) Cubic (Fd3m) Orthorhombic (Pbnm) Tetragonal (I−42d) Tetragonal (I−42d) Cubic (Fd3m) Hexagonal (P63mc) Cubic (Fd3m) Cubic (Fm3m) Cubic (Ia3d) Hexagonal (P6mm) Tetragonal (I−42d) Tetragonal (I−42d) Hexagonal (6mm) Cubic (Fm3m) Tetragonal (I−42d) Rhombohedral (R−3c) Tetragonal (I−42d) Rhombohedral(R−3) Monoclinic (P2/c) Monoclinic (C2/m) Monoclinic (C2/m) Monoclinic (P21/n) Cubic (Pa−3) Monoclinic (C2/c) Orthorhombic (C222) Orthorhombic Cubic (I43d) Otthorhombic (Pnam) Hexagonal (P6322) Orthorhombic (Cmma) Monoclinic (C2/c) Orthorhombic (Pnma) Monoclinic

Section 1: Crystalline Materials

11

Name, Formula, Crystal System, and Space Group for Optical Crystals—continued Name

Formula

Crystal system (Space group)

Calcium aluminum germanate Calcium aluminum germanate Calcium aluminum oxyfluoride Calcium aluminum silicate (anorthite) Calcium aluminum silicate (gehlenite, CAS) Calcium aluminum silicate (grossularite) Calcium antimonate Calcium antimonate Calcium barium carbonate (alstonite) Calcium beryllium fluorophosphate (herderite) Calcium beryllium phosphate (hurlbutite) Calcium beryllium silicate (gugiaite) Calcium borate Calcium borate Calcium borate Calcium borate Calcium borate (calciborite) Calcium boron silicate (danburite) Calcium carbonate (aragonite) Calcium carbonate (calcite) Calcium carbonate (vaterite) Calcium chloroarsenate Calcium chloroarsenate Calcium chloroborate Calcium chloroborate Calcium chlorophosphate Calcium chlorophosphate (chlorapatite) Calcium chlorovanadate Calcium chlorovanadate Calcium fluoride (fluorite, fluorspar, Irtran 3) Calcium fluoroarsenate (svabite, CAAP) Calcium fluoroborate (fabianite) Calcium fluorophosphate (apatite, FAP) Calcium fluorophosphate (spodiosite) Calcium fluorovanadate (VAP) Calcium gadolinium aluminate Calcium gadolinium double borate Calcium gadolinium oxysilicate Calcium gadolinium phosphate Calcium gallate Calcium gallate Calcium gallate Calcium gallium germanate

Ca2Al2GeO7 Ca3Al2Ge3O12 Ca2Al3O6F CaAl2Si2O8 Ca2Al2SiO7 Ca3Al2Si3O12 Ca2Sb2O7 Ca2Sb2O7 CaBa(CO3)2 CaBe(PO4)F CaBe2(PO4)2 Ca2BeSi2O7 Ca2B2O5 Ca2B6O11 CaB4O7 Ca3B2O6 CaB2O4 CaB2Si2O8 CaCO3 CaCO3 CaCO3 Ca2AsO4Cl Ca5(AsO4)3Cl Ca2BO3Cl Ca2B5O9Cl Ca2PO4Cl Ca5(PO4)3Cl Ca2VO4Cl Ca5(VO4)3Cl CaF2 Ca5(AsO4)3F CaB3O5F Ca5(PO4)3F Ca2(PO4)F Ca5(VO4)3F CaGaAlO4 Ca3Gd2(BO3)4 CaGd4(SiO4)3O Ca3Gd(PO4)3 CaGa2O4 Ca3Ga4O9 Ca5Ga6O14 Ca2Ga2GeO7

Tetragonal (P421m) Cubic (Ia3d) Hexagonal Triclinic(P−1) Tetragonal (P421m) Cubic (Ia3d) Orthorhombic (Imm2) Cubic (Fd3m) Orthorhombic (Pnam) Monoclinic Monoclinic (P21/a) Tetragonal (P421m) Monoclinic (P21/a) Monoclinic (P21/b) Monoclinic (P21/c) Rhombohedral (R−3c) Orthorhombic (Pnca) Orthorhombic (Pmam) Orthorhombic (Pnam) Rhombohedral (R−3c)) Hexagonal (P63/mmc) Orthorhombic (Pbcm) Hexagonal(P63/m) Monoclinic (P21/c) Tetragonal (P42212) Orthorhombic (Pbcm) Hexagonal(P63/m) Orthorhombic (Pbcm) Hexagonal(P63/m) Cubic (Fm3m) Hexagonal(P63/m) Orthorhombic (Pbn21) Hexagonal(P63/m) Orthorhombic (Pbcm) Hexagonal(P63/m) Hexagonal (P63/m) Orthorhombic (Pc21n) Tetragonal (I4/mmm) Cubic (I–43d) Monoclinic (P21/c) Orthorhombic (Cmm2) Orthorhombic (Cmc21) Tetragonal (P421m)

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12

Handbook of Optical Materials Name, Formula, Crystal System, and Space Group for Optical Crystals—continued Name

Calcium gallium germanate Calcium gallium germanium garnet Calcium gallium silicate (CGS) Calcium germanate Calcium germanate Calcium hexa-aluminate Calcium indate Calcium indium germanate Calcium indium oxide Calcium iodate (lautarite) Calcium lanthanum aluminate Calcium lanthanum borate Calcium lanthanum oxyphosphate Calcium lanthanum oxysilicate Calcium lanthanum phosphate Calcium lanthanum sulfide Calcium lithium magnesium vanadate Calcium lithium magnesium vanadate Calcium lithium zinc vanadate Calcium lithium zinc vanadate Calcium lutetium germanate Calcium magnesium borate (kurchatovite) Calcium magnesium carbonate (dolomite) Calcium magnesium carbonate (huntite) Calcium magnesium fluoroarsenate (tilasite) Calcium magnesium fluorophosphate (isokite) Calcium magnesium germanate Calcium magnesium silicate (akermanite) Calcium magnesium silicate (diopside) Calcium magnesium silicate (merwinite) Calcium magnesium silicate (monticellite) Calcium magnesium vanadate Calcium molybdate Calcium niobate Calcium niobate (rynersonite) Calcium niobium gallium garnet Calcium oxide (lime) Calcium phosphate Calcium phosphate Calcium scandate Calcium scandium germanate Calcium scandium silicate Calcium silicate (larnite)

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Formula Ca3Ga2Ge4O14 Ca3Ga2Ge3O12 Ca2Ga2SiO7 CaGe2O5 CaGe4O9 CaAl12O19 CaIn2O4 Ca3In2Ge3O12 Ca3In2O6 Ca(IO3)2 CaLaAlO4 CaLaBO4 Ca4La(PO4)3O CaLa4(SiO4)3O Ca3La(PO4)3 CaLa2S4 Ca2LiMg2V3O12 Ca3LiMgV3O12 Ca2LiZn2V3O12 Ca3LiZnV3O12 Ca3Lu2Ge3O12 CaMgB2O5 CaMg(CO3)2 CaMg3(CO3)4 CaMgAsO4F CaMgPO4F CaMgGe2O6 Ca2MgSi2O7 CaMgSi2O6 Ca3MgSi2O8 CaMgSiO4 CaMg2(VO4)2 CaMoO4 Ca2Nb2O7 CaNb2O6 Ca3(Nb,Ga)2Ga3O12 CaO β-CaP2O7 β-CaP2O7 CaSc2O4 Ca3Sc2Ge3O12 Ca3Sc2Si3O12 b-Ca2SiO4

Crystal system (Space group) Trigonal (P321) Cubic (Ia3d) Tetragonal (P421m) Monoclinic (P21/a) Hexagonal (P –6c2) Hexagonal (P63/mmc) Orthorhombic (Pbcm) Cubic (Ia3d) Orthorhombic (Pbam) Monoclinic Tetragonal (I4/mmm) Hexagonal (P6322) Hexagonal (P63/m) Hexagonal (P63/m) Cubic (I –43d) Cubic (I –43d) Cubic (Ia3d) Cubic (Ia3d) Cubic (Ia3d) Cubic (Ia3d) Cubic (Ia3d) Orthorhombic Rhombohedral (R−3c) Rhombohedral (R32) Orthorhombic Monoclinic (C2/c) Monoclinic (C2/c) Tetragonal (P421m) Monoclinic (C2/c) Monoclinic (P21/a) Orthorhombic (Pmnb) Tetragonal (I41/acd) Tetragonal (I41/a) Orthorhombic (Pn21a) Orthorhombic (Pcan) Cubic (Ia3d) Cubic (Fm3m) Hexagonal (P − 6 c2) Tetragonal (P41) Orthorhombic (Pnam) Cubic (Ia3d) Cubic (Ia3d) Monoclionic (P21/n)

Section 1: Crystalline Materials

13

Name, Formula, Crystal System, and Space Group for Optical Crystals—continued Name

Formula

Calcium silicate (rankinite) Calcium silicate (wollastonite) Calcium sodium magnesium vanadate Calcium sodium zinc vanadate Calcium sulfate (anhydrite) Calcium tantalate Calcium tellurate (denningite) Calcium tin borate (nordenskiöldine) Calcium tin oxide Calcium tin silicate (malayaite) Calcium titanate (perovskite) Calcium titanium germanate Calcium titanium silicate (sphene) Calcium tungstate (scheelite) Calcium vanadate Calcium vanadate Calcium vanadate Calcium yttrium aluminate Calcium yttrium borate Calcium gadolinium double borate Calcium yttrium magnesium germanium garnet Calcium yttrium oxysilicate Calcium yttrium oxysilicate (SOAP) Calcium zinc fluoride Calcium zinc germanate Calcium zinc silicate (esperite) Calcium zinc silicate (hardystonite) Calcium zirconium boron aluminate (painite) Calcium zirconium silicate (gittinsite) Calcium zirconium titanate (zirkelite) Calcium zirconium titanium silicate Carbon (diamond) Cesium aluminum sulfate Cesium beryllium fluoride Cesium borate (CBO) Cesium bromide Cesium cadmium bromide Cesium cadmium bromide Cesium cadmium chloride Cesium cadmium fluoride Cesium cadmium zinc fluoride Cesium calcium fluoride Cesium chloride

Ca3Si2O7 CaSiO3 Ca2NaMg2V3O12 Ca2NaZn2V3O12 CaSO4 CaTa2O6 Ca2Te2O5 CaSnB2O6 CaSnO3 CaSnSiO5 CaTiO3 CaTiGeO4 CaTiSiO5 CaWO4 CaV2O6 Ca2V2O7 Ca3(VO4)2 CaYAlO4 CaYBO4 Ca3Y2(BO3)4 CaY2Mg2Ge3O12 Ca4Y6(SiO4)6 CaY4(SiO4)3O CaZnF4 CaZnGe2O6 CaZnSiO4 Ca2ZnSi2O7 CaZrBAl9O18 CaZrSi2O7 CaZrTi2O7 Ca3(Zr,Ti)Si2O9 C CsAl(SO4)2 Cs2BeF4 CsB3O5 CsBr Cs2CdBr4 CsCdBr3 Cs2CdCl4 CsCdF3 Cs2CdZnF6 CsCaF3 CsCl

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Crystal system (Space group) Monoclinic Triclinic(P−1) Cubic (Ia3d) Cubic (Ia3d) Orthorhombic (Bbmm) Orthorhombic (Pcan) Tetragonal Trigonal (R − 3 m ) Orthorhombic (P212121) Monoclinic (P21/a) Cubic (Pm3m) Monoclinic (P21/a) Monoclinic (P21/a) Tetragonal (I41/a) Monoclinic (C2/m) Monoclinic (C2/m) Trigonal (R3c) Tetragonal (I4/mmm) Orthorhombic (Pnam) Orthorhombic (Pc21n) Cubic (Ia3d) Hexagonal (P63/m) Hexagonal (P63/m) Tetragonal (I41/a) Monoclinic (C2/c) Tetragonal (P−421m) Tetragonal (P−421m) Hexagonal (P63) Monoclinic (C2/m) Monoclinic (C2/m) Monoclinic Cubic (F−43m) Trigonal (P321) Orthorhombic (Pna21) Orthorhombic (P212121) Cubic (Fm3m) Orthorhombic (Pnma) Cubic (Pm3m) Tetragonal (I4/mmm) Cubic (Pm3m) Rhombohedral (R–3m) Cubic (Pm3m) Cubic (Fm3m)

14

Handbook of Optical Materials Name, Formula, Crystal System, and Space Group for Optical Crystals—continued Name

Cesium dideuterium arsenate Cesium dideuterium phosphate Cesium dihydrogen arsenate Cesium dihydrogen phosphate Cesium fluoride Cesium gadolinium molybdate Cesium gallium sulfate Cesium germanate Cesium iodide Cesium lanthanum tungstate Cesium lithium aluminum fluoride Cesium lithium aluminum fluoride Cesium lithium beryllium fluoride Cesium lithium borate (CLBO) Cesium lithium gallium fluoride Cesium lithium gallium fluoride Cesium lithium sulfate Cesium magnesium chloride Cesium mercury iodide Cesium niobium borate (CNB) Cesium niobium sulfate Cesium potassium aluminum fluoride Cesium potassium lanthanum fluoride Cesium scandium molybdate Cesium scandium tungstate Cesium silver fluoride Cesium sodium aluminum fluoride Cesium sodium aluminum fluoride Cesium sodium gallium fluoride Cesium sodium yttrium fluoride Cesium strontium fluoride Cesium tin germanate Cesium titanium germanate Cesium titano arsenate (CTA) Cesium zinc aluminum fluoride Cesium zinc bromide Cesium zinc chloride Copper bromide (cuprous) Copper chloride (cuprous, nantokite) Copper iodide (cuprous, marshite) Cuprous oxide (cuprite) Gadolinium aluminate Gadolinium aluminate

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Formula CsD2AsO4 CsD2PO4 CsH2AsO4 CsH2PO4 CsF CsGd(MoO4)2 CsGa(SO4)2 Ga2GeO5 CsI CsLa(WO4)2 Cs2LiAl3F12 Cs2LiAlF6 CsLiBeF4 CsLiB6O10 Cs2LiGa3F12 Cs2LiGaF6 CsLiSO4 Cs2MgCl4 Cs2HgI4 CsNbB2O6 CsNbO(SO4)2 Cs2KAl3F12 Cs2KLaF6 CsSc(MoO4)2 CsSc(WO4)2 Cs2AgF4 Cs2NaAl3F12 Cs2NaAlF6 Cs2NaGaF6 Cs2NaYF6 CsSrF3 Cs2SnGe3O9 Cs2TiGe3O9 CsTiOAsO4 CsZnAlF6 Cs2ZnBr4 Cs2ZnCl4 CuBr CuCl CuI Cu2O Gd4Al2O9 GdAlO3

Crystal system (Space group) Tetragonal (I−42m) Tetragonal (I−42m) Tetragonal (I−42m) Tetragonal (I−42m) Cubic (Fm3m) Orthorhombic (Pnma) Trigonal (P321) Orthorhombic (Pnnm) Cubic (Fm3m) Tetragonal (P42/nmc) Rhombohedral (R–3m) Hexagonal (P63/mmc) Monoclinic (P21/n) Tetragonal (I−42d) Rhombohedral (R–3m) Hexagonal (P63/mmc) Orthorhombic (Pc2) Orthorhombic (Pnma) Monoclinic (P21) Orthorhombic (Pn21m) Orthorhombic Rhombohedral (R–3m) Cubic (Fm3m) Trigonal (P−3m1) Trigonal (P−3m1) Tetragonal (I4/mmm) Rhombohedral (R–3m) Rhombohedral (R–3m) Rhombohedral (R–3m) Cubic (Fm3m) Cubic (Pm3m) Hexagonal (P63/m) Hexagonal (P63/m) Orthorhombic (P21nb) Orthorhombic Orthorhombic (Pnma) Orthorhombic (Pnma) Cubic (Fm3m) Cubic (Fm3m) Cubic (Fm3m) Cubic (Pm3m) Monoclinic (P21/a) Orthorhombic (Pbnm)

Section 1: Crystalline Materials

15

Name, Formula, Crystal System, and Space Group for Optical Crystals—continued Name Gadolinium aluminum borate Gadolinium aluminum germanate Gadolinium borate Gadolinium borate Gadolinium calcium oxyborate Gadolinium gallium borate Gadolinium gallium garnet (GGG) Gadolinium gallium germanate Gadolinium germanate Gadolinium germanium beryllate Gadolinium indate Gadolinium magnesium borate Gadolinium molybdate Gadolinium niobate Gadolinium niobate Gadolinium orthosilicate Gadolinium oxide Gadolinium oxymolybdate Gadolinium oxysulfate Gadolinium oxytungstate Gadolinium pentaphosphate Gadolinium phosphate Gadolinium scandate Gadolinium scandium aluminum garnet (GSAG) Gadolinium scandium gallium garnet (GSGG) Gadolinium strontium borate Gadolinium tantalate Gadolinium titanate Gadolinium tungstate Gadolinium vanadate Gallium antimonide Gallium arsenide Gallium germanate Gallium molybdate Gallium niobate Gallium nitride - wurtzite Gallium nitride - zincblende Gallium oxide Gallium phosphate Gallium phosphide Gallium selenide Gallium sulfide Gallium tungstate

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Formula

Crystal system (Space group)

GdAl3(BO3)4 GdAlGe2O7 Gd(BO2)3 GdBO3 GdCa4O(BO3)3 GdGa3(BO3)4 Gd3Ga5O12 GdGaGe2O7 Gd2GeO5 Gd2GeBe2O7 GdInO3 GdMgB5O10 Gd2(MoO4)3 GdNbO4 Gd3NbO7 Gd2SiO5 Gd2O3 Gd2MoO6 Gd2O2SO4 Gd2WO6 GdP5O14 GdPO4 GdScO3 Gd3Sc2Al3O12 Gd3Sc2Ga3O12 Gd2Sr3(BO3)4 Gd3TaO7 Gd2Ti2O7 Gd2(WO4)3 GdVO4 GaSb GaAs α-Ga4GeO8 Ga2(MoO4)3 GaNbO4 α-GaN β-GaN β-Ga2O3 GaPO4 GaP GaSe GaS Ga2(WO4)3

Trigonal (R32) Monoclinic (P21/c) Monoclinic (I2/a) Hexagonal (P63/mmc) Monoclinic (Cm) Trigonal (R32) Cubic (Ia3d) Monoclinic (P21/c) Monoclinic (P21/c) Tetragonal (P421m) Hexagonal (P63cm) Monoclinic (P21/c) Orthorhombic (Pba2) Monoclinic (I2/a) Orthorhombic (C2221) Monoclinic (P21/c) Monoclinic (C2/m) Monoclinic (I2/c) Orthorhombic Monoclinic (I2/c) Monoclinic (P21/c) Monoclinic (P21/n) Orthorhombic (Pbnm) Cubic (Ia3d) Cubic (Ia3d) Orthorhombic (P21cn) Orthorhombic (C2221) Cubic (Fd3m) Monoclinic (C2/c) Tetragonal (I41/amd) Cubic (F−43m) Cubic (F−43m) Monoclinic (C2/m) Monoclinic (P21/a) Monoclinic (C2) Hexagonal(P 63m c ) Cubic (F−43m) Monoclinic (A2/m) Trigonal (P312) Cubic (F−43m) Hexagonal(P –62m) Hexagonal(P –62m) Orthorhombic (Pcna)

16

Handbook of Optical Materials Name, Formula, Crystal System, and Space Group for Optical Crystals—continued Name

Germanium Germanium oxide (argutite) Hafnium oxide Hafnium silicate (hafnon) Indium antimonide Indium arsenide Indium borate Indium cadmium borate Indium calcium borate Indium gallate Indium molybdate Indium niobate Indium nitride Indium oxide Indium phosphate Indium phosphide Indium tantalate Indium tungstate Indium vanadate Iodic acid Lanthanum aluminate Lanthanum aluminum germanate Lanthanum aluminum germanate Lanthanum antimonade Lanthanum antimonade Lanthanum barium borate Lanthanum barium gallate Lanthanum barium germanate Lanthanum beryllate (BEL) Lanthanum borate Lanthanum boron germanate Lanthanum boron molybdate Lanthanum boron silicate (stillwellite) Lanthanum boron tungstate Lanthanum calcium aluminate Lanthanum calcium borate Lanthanum calcium gallate Lanthanum chloride Lanthanum fluoride (tysonite) Lanthanum gallate Lanthanum gallium germanate Lanthanum gallium germanate Lanthanum gallium silicate

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Formula Ge GeO2 HfO2 HfSiO4 InSb InAs InBO3 InCdBO4 InCaBO4 InGaO3 In2(MoO4)3 InNbO4 InN In2O3 InPO4 InP InTaO4 In2(WO4)3 InVO4 HIO3 LaAlO3 LaAlGe2O7 LaAlGe2O7 LaSbO4 La3SbO7 La2Ba3(BO3)4 BaLaGa3O7 LaBaGa3O7 La2Be2O5 LaBO3 LaBGeO5 LaBMoO6 LaBSiO5 LaBWO6 LaCaAl3O7 La2Ca3(BO3)4 LaCaGa3O7 LaCl3 LaF3 LaGaO3 LaGaGe2O7 La3Ga5GeO14 La3Ga5SiO14

Crystal system (Space group) Cubic (F−43m) Tetragonal (P42/mnm) Monoclinic (P21/c) Tetragonal (I41/amd) Cubic (F−43m) Cubic (F−43m) Rhombohedral (R−3c) Orthorhombic (Pnam) Orthorhombic (Pnam) Monoclinic (C2/m) Monoclinic (P21/a) Monoclinic (P2/c) Hexagonal(P 63m c ) Rhombohedral (R3c) Orthorhombic (Cmcm) Cubic (F−43m) Monoclinic (P2/c) Orthorhombic (Pcna) Monoclinic (C2/m) Orthorhombic (P212121) Trigonal (R –3m) Monoclinic (P21/c) Monoclinic (P21/c) Monoclinic (P21/c) Orthorhombic (Cmcm) Orthorhombic (P21cn) Tetragonal (P421m) Tetragonal (P421m) Monoclinic (C2/c) Orthorhombic (Pnam) Trigonal (C3m) Monoclinic (P21) Trigonal (C3m) Monoclinic (P21) Tetragonal (P421m) Orthorhombic (P21cn) Tetragonal (P421m) Hexagonal (P63/m) Trigonal (P−3c1) Orthorhombic (Pbnm) Monoclinic (P21/c) Trigonal (P321) Trigonal (P321)

Section 1: Crystalline Materials

17

Name, Formula, Crystal System, and Space Group for Optical Crystals—continued Name Lanthanum germanium beryllate Lanthanum indate Lanthanum lutetium gallium garnet (LLGG) Lanthanum magnesium borate Lanthanum magnesium hexa-aluminate (LMA) Lanthanum metaborate Lanthanum molbydate Lanthanum molybdate Lanthanum niobate Lanthanum niobate Lanthanum niobate Lanthanum niobogallate Lanthanum oxide Lanthanum oxybromide Lanthanum oxymolybdate Lanthanum oxysulfate Lanthanum oxysulfide Lanthanum oxytungstate Lanthanum pentaphosphate Lanthanum phosphate (monazite) Lanthanum scandate Lanthanum scandium borate Lanthanum silicate Lanthanum strontium borate Lanthanum strontium gallate Lanthanum tantalate Lanthanum tantalogallate Lanthanum titanate Lanthanum titanate Lanthanum tungstate Lanthanum yttrium tungstate Lathanium vanadate Lead antimonade Lead bismuth niobate Lead bromide Lead cadmium niobate Lead calcium chloroarsenate (hedyphane) Lead carbonate (cerussite) Lead chloride (cotunnite) Lead chloroarsenate (mimetite) Lead chlorophosphate (pyromorphite) Lead chlorovanadate (vanadinite) Lead fluoride

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Formula La2GeBe2O7 LaInO3 La3Lu2Ga3O12 LaMgB5O10 LaMgAl11O19 LaB3O6 La2(MoO4)3 La2(MoO4)3 LaNbO4 LaNb5O14 La3NbO7 La3Nb0.5Ga5.5O14 La2O3 LaOBr La2MoO6 La2O2SO4 La2O2S La2WO6 LaP5O14 LaPO4 LaScO3 LaSc3(BO3)4 La2SiO5 La2Sr3(BO3)4 LaSrGa3O7 La3TaO7 La3Ta0.5Ga5.5O14 La2TiO5 La2Ti2O7 La2(WO4)3 LaY(WO4)3 LaVO4 Pb2Sb2O7 PbBi2Nb2O9 PbBr2 Pb3CdNb2O9 Pb3Ca2(AsO4)3Cl PbCO3 PbCl2 Pb5(AsO4)3Cl Pb5(PO4)3Cl Pb5(VO4)3Cl PbF2

Crystal system (Space group) Tetragonal (P421m) Orthorhombic (Pbnm) Cubic (Ia3d) Monoclinic (P21/c) Hexagonal (P63/mmc) Monoclinic (I2/a) Monoclinic (C2/c) Tetragonal (I−42m) Monoclinic (I2/a) Orthorhombic (Pnam) Othorhombic (Cmcm) Trigonal (P321) Trigonal (P−3m1) Tetragonal (P4/nmm) Tetragonal (I−42m) Orthorhombic Trigonal (P−3m) Hexagonal (P63/mmc) Orthorhombic (Pcmn) Monoclinic (P21/n) Orthorhombic (Pbnm) Monoclinic Monoclinic Orthorhombic (P21cn) Tetragonal (P421m) Orthorhombic (Cmcm) Trigonal (P321) Orthorhombic (Pnam) Monoclinic (P21/c) Monoclinic (C2/c) Monoclinic (C2/c) Monoclinic (P21/c) Cubic (Fd3m) Othorhombic (Fmm2) Othorhombic (Pnma) Orthorhombic Hexagonal (P63/m) Orthorhombic (Pnam) Orthorhombic (Pnam) Hexagonal (P63/m) Hexagonal (P63/m) Hexagonal (P63/m) Cubic (Fm3m)

18

Handbook of Optical Materials Name, Formula, Crystal System, and Space Group for Optical Crystals—continued Name

Lead fluoroarsenate Lead fluorophosphate Lead fluorovanadate Lead germanate Lead germanate Lead germanate Lead germanate Lead hafnate Lead hexa-aluminate (magnetoplumbite) Lead indium niobate Lead iodide Lead magnesium niobate Lead molybdate (wulfenite) Lead niobate (changbaiite) Lead nitrate Lead oxide (litharge) Lead oxide (massicot) Lead phosphate Lead potassium niobate Lead scandium niobate Lead selenate (kerstenite) Lead selenide (clausthalite) Lead selenite (molybdomenite) Lead silicate (alamosite) Lead sodium niobate Lead sulfate (anglesite) Lead sulfide (galena) Lead tantalate Lead telluride (altaite) Lead titanate (macedonite) Lead titanium phosphate Lead tungstate (stolzite) Lead vanadate Lead vanadate (chervetite) Lead zinc niobate Lead zinc silicate Lead zinc silicate (larsenite) Lithium aluminate Lithium aluminate Lithium aluminate spinel Lithium aluminum borate Lithium aluminum fluorophosphate (amblygonite) Lithium aluminum germanate

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Formula Pb5(AsO4)3F Pb5(PO4)3F Pb5(VO4)3F PbGeO3 Pb3GeO5 Pb3Ge3O11 Pb5Ge2O7 PbHfO3 PbAl12O19 Pb2InNbO6 2H-PbI2 Pb3MgNb2O9 PbMoO4 PbNb2O6 Pb(NO3)2 PbO PbO Pb3(PO4)2 Pb2KNb5O15 Pb2ScNbO6 PbSeO4 PbSe PbSeO3 PbSiO3 PbNaNb5O15 PbSO4 PbS PbTa2O6 PbTe PbTiO3 PbTiP2O8 PbWO4 Pb3(VO4)2 Pb2V2O7 Pb3ZnNb2O9 Pb2ZnSi2O7 PbZnSiO4 Li5AlO4 γ-LiAlO2 LiAl5O8 Li6Al2(BO3)4 LiAl(PO4)F LiAlGe2O6

Crystal system (Space group) Hexagonal (P63/m) Hexagonal (P63/m) Hexagonal (P63/m) Monoclinic (P21/a) Monoclinic (P12) Trigonal (P3) Hexagonal Orthorhombic (Pbam) Hexagonal (P63/mmc) Rhombohedral Trigonal (P3m1) Orthorhombic Tetragonal (I41/a) Orthorhombic (Cm2m) Cubic (Pa3) Tetragonal (P4/nmm) Orthorhombic (Pbcm) Monoclinic (PC2/c) Orthorhombic (Im2m) Rhombohedral Orthorhombic (Pnma) Cubic (Fm3m) Monoclinic Monoclinic (Pn) Orthorhombic (Im2a) Orthorhombic (Pnma) Cubic (Fm3m) Orthorhombic (Cm2m) Cubic (Fm3m) Tetragonal (P4mm) Orthorhombic Tetragonal (I41/a) Monoclinic (P2/c) Monoclinic (P21/a) Orthorhombic Tetragonal (P421m) Orthorhombic (Pnam) Orthorhombic (Pbca) Tetragonal (P41212) Cubic (P4132) Triclinic(P−1) Triclinic(P−1) Monoclinic (P21/n)

Section 1: Crystalline Materials Name, Formula, Crystal System, and Space Group for Optical Crystals—continued Name Lithium aluminum germanate Lithium aluminum molybdate Lithium aluminum silicate Lithium aluminum silicate Lithium aluminum silicate (eucryptite) Lithium aluminum silicate (petalite) Lithium aluminum silicate (spodumene) Lithium barium aluminum fluoride (LiBAF) Lithium barium fluoride Lithium barium gallium fluoride Lithium beryllium fluoride Lithium beryllium silicate (liberite) Lithium borate Lithium borate Lithium bromide Lithium cadmium borate Lithium cadmium chloride Lithium cadmium indium fluoride Lithium calcium aluminum fluoride (LiCAF) Lithium calcium gallium fluoride (LiCGaF) Lithium calcium germanate Lithium calcium indium fluoride Lithium calcium silicate Lithium carbonate (zabuyelite) Lithium chloride Lithium fluoride (griceite) Lithium gadolinium borate Lithium gadolinium borate Lithium gadolinium molybdate Lithium gadolinium molybdate Lithium gadolinium oxide Lithium gadolinium tetrafluoride (GLF) Lithium gadolinium tetraphosphate Lithium gadolinium tungstate Lithium gallate Lithium gallate Lithium gallate spinel Lithium gallium germanate Lithium gallium germanate Lithium gallium germanate Lithium gallium silicate Lithium gallium silicate Lithium gallium tungstate

© 2003 by CRC Press LLC

Formula LiAlGeO4 LiAl(MoO4)2 LiAlSi2O6 LiAlSi4O10 LiAlSiO4 LiAlSi4O10 LiAlSi2O6 LiBaAlF6 LiBaF3 LiBaGaF6 Li2BeF4 Li2BeSiO4 LiBO2 LiB3O5 LiBr LiCdBO3 Li2CdCl4 LiCdInF6 LiCaAlF6 LiCaGaF6 Li2CaGeO4 LiCaInF6 Li2CaSiO4 Li2CO3 LiCl LiF Li3Gd2(BO3)3 Li6Gd(BO3)3 LiGd(MoO4)2 LiGd(MoO4)2 LiGdO2 LiGdF4 LiGdP4O12 LiGd(WO4)2 LiGaO2 Li5GaO4 LiGa5O8 LiGaGe2O6 LiGaGe2O6 LiGaGeO4 LiGaSi2O6 LiGaSiO4 LiGa(WO4)2

Crystal system (Space group) Trigonal(R−3) Triclinic(P−1) Monoclinic (C2/c) Monoclinic (P21/n) Rhombohedral(R−3) Monoclinic (P21/n) Rhombohedral(R−3) Monoclinic (P21/a) Cubic (Pm3m) Monoclinic (P21/a) Cubic (Fd3m) Monoclinic (Pn) Monoclinic (P21/c) Orthorhombic (Pna21) Cubic (Fm3m) Hexagonal (P –6) Cubic (Fd3m) Trigonal (P321) Trigonal(P−31c) Trigonal(P−31c) Tetragonal (I−42m) Trigonal (P321) Tetragonal (I−42m) Monoclinic (C2/c) Cubic (Fm3m) Cubic (Fm3m) Monoclinic (P21/n) Monoclinic (P21/b) Tetragonal (I41/a) Tetragonal (I41/a) Orthorhombic (Pnma) Tetragonal (I41/a) Monoclinic (I2/c) Tetragonal (I41/a) Orthorhombic (Pna21) Orthorhombic (Pnam) Cubic (P4132) Monoclinic (P21/c) Monoclinic (P21/c) Trigonal(R−3) Monoclinic (C2/c) Rhombohedral(R−3) Monoclinic (P2/c)

19

20

Handbook of Optical Materials Name, Formula, Crystal System, and Space Group for Optical Crystals—continued Name

Lithium germanate Lithium indium germanate Lithium indium molybdate Lithium indium oxide Lithium indium oxide Lithium indium silicate Lithium indium silicate Lithium indium tungstate Lithium iodate Lithium iodide Lithium lanthanum borate Lithium lanthanum molybdate Lithium lanthanum oxide Lithium lanthanum tetraphosphate Lithium lanthanum tungstate Lithium lutetium borate Lithium lutetium fluoride Lithium lutetium germanate Lithium lutetium oxide Lithium lutetium silicate Lithium lutetium tetraphosphate Lithium lutetium tungstate Lithium magnesium aluminum fluoride Lithium magnesium borate Lithium magnesium borate Lithium magnesium chloride Lithium magnesium gallium fluoride Lithium magnesium germanate Lithium magnesium indium fluoride Lithium niobate Lithium phosphate (lithiophosphate) Lithium scandate Lithium scandium germanate Lithium scandium germanate Lithium scandium silicate Lithium scandium silicate Lithium scandium tungstate Lithium silicate Lithium strontium aluminum fluoride (LiSAF) Lithium strontium gallium fluoride (LiSGF) Lithium tantalate (LT) Lithium tetraborate (diomignite) Lithium triborate (LBO)

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Formula Li2GeO3 LiInGe2O6 LiIn(MoO4)2 Li3InO3 LiInO2 LiInSiO4 LiInSi2O6 LiIn(WO4)2 α-LiIO3 LiI Li3La2(BO3)3 LiLa(MoO4)2 LiLaO2 LiLaP4O12 LiLa(WO4)2 Li6Lu(BO3)3 LiLuF4 LiLuGeO4 LiLuO2 LiLuSiO4 LiLuP4O12 LiLu(WO4)2 LiMgAlF6 LiMgBO3 Li2MgB2O5 Li2MgCl4 LiMgGaF6 Li2MgGeO4 LiMgInF6 LiNbO3 Li3PO4 LiScO2 LiScGeO4 LiScGe2O6 LiScSiO4 LiScSi2O6 LiSc(WO4)2 Li2SiO3 LiSrAlF6 LiSrGaF6 LiTaO3 Li2B4O7 LiB3O5

Crystal system (Space group) Orthorhombic (Cmc21) Orhtorhimbic (Pbca) Monoclinic (P21/c) Trigonal (P−3c1) Tetragonal(I41/amd) Orthorhombic (Pnma) Monoclinic (C2/c) Monoclinic (P2/c) Hexagonal (P63) Cubic (Fm3m) Monoclinic (P21/n) Orthorhombic (Pbca) Orthorhombic (Pbmm) Monoclinic (I2/c) Tetragonal (I41/a) Monoclinic (P21/b) Tetragonal (I41/a) Orthorhombic (Pbcn) Tetragonal (I41/amd) Orthorhombic (Pbcn) Monoclinic (I2/c) Monoclinic (P2/c) Trigonal (P321) Monoclinic (C2/c) Monoclinic Cubic (Fd3m) Tetragonal (P42/mmm) Orthorhombic (Pmn21) Trigonal (P321) Trigonal (R3c) Orthorhombic Tetragonal(I41/amd) Orthorhombic (Pbnm) Orthorhombic (Pbca) Orthorhombic (Pbnm) Monoclinic (C2/c) Monoclinic (P2/c) Orthorhombic (Ccm21) Trigonal(P−31c) Trigonal(P−31c) Trigonal (R3c) Tetragonal (I41cd) Orthorhombic (Pn21a)

Section 1: Crystalline Materials

21

Name, Formula, Crystal System, and Space Group for Optical Crystals—continued Name Lithium vanadate Lithium vanadate Lithium yttrium borate Lithium yttrium borate Lithium yttrium fluoride (YLF) Lithium yttrium germanate Lithium yttrium oxide Lithium yttrium silicate Lithium yttrium tungstate Lithium zinc borate Lithium zinc indium fluoride Lithium zinc niobate Lutetium aluminum borate Lutetium aluminum garnet Lutetium borate Lutetium calcium borate Lutetium gallium garnet Lutetium molybdate Lutetium orthosilicate Lutetium oxide Lutetium oxymolybdate Lutetium oxysulfate Lutetium oxytungstate Lutetium pentaphosphate Lutetium phosphate Lutetium scandate Lutetium scandium aluminum garnet (LSAG) Lutetium tantalate Lutetium titanate Lutetium tungstate Lutetium vanadate Magnesium aluminate (spinel) Magnesium aluminum borate (sinhalite) Magnesium aluminum borosilicate (grandidierite) Magnesium aluminum silicate (cordierite) Magnesium aluminum silicate (sapphirine) Magnesium aluminum silicate garnet (pyrope) Magnesium borate (kotoite) Magnesium borate (suanite) Magnesium carbonate (magnesite) Magnesium chloroborate (boracite) Magnesium fluoride (sellaite, Irtran 1) Magnesium fluoroborate

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Formula LiVO3 Li3VO4 Li3Y2(BO3)3 Li6Y(BO3)3 LiYF4 LiYGeO4 LiYO2 LiYSiO4 LiY(WO4)2 LiZnBO3 LiZnInF6 LiZnNbO4 LuAl3(BO3)3 Lu3Al5O12 LuBO3 LuCaBO4 Lu3Ga5O12 Lu2(MoO4)3 Lu2SiO5 Lu2O3 Lu2MO6 Lu2O2SO4 Lu2WO6 LuP5O14 LuPO4 LuScO3 Lu3Sc2Al3O12 LuTaO4 Lu2Ti2O3 Lu2(WO4)3 LuVO4 MgAl2O4 MgAlBO4 MgAl3BSiO9 Mg2Al3(Si5Al)O18 Mg4Al8Si2O20 Mg3Al2Si3O12 Mg3B2O6 Mg2B2O5 MgCO3 Mg3B7O13Cl MgF2 Mg2BO3F

Crystal system (Space group) Monoclinic (C2/c) Orthorhombic (Pmn21) Monoclinic (P21/n) Monoclinic (P21/b) Tetragonal (I41/a) Orthorhombic (Pbcn) Monoclinic (P21/c) Orthorhombic (Pbcn) Monoclinic (P2/c) Monoclinic (C2/c) Trigonal (P321) Tetragonal (P4122) Trigonal (R32) Cubic (Ia3d) Rhombohedral (R−3c) Orthorhombic (Pnam) Cubic (Ia3d) Orthorhombic (Pbcn) Monoclinic (C2/c) Cubic (Ia3) Monoclinic (I2/c) Orthorhombic Monoclinic (P2/c) Monoclinic (C2/c) Tetragonal (I41/amd) Cubic (Ia3) Cubic (Ia3d) Monoclinic (P2/a) Cubic (Fd3m) Orthorhombic (Pcna) Tetragonal (I41/amd) Cubic (Fd3m) Orthorhombic (Pnma) Orthorhombic Hexagonal (P6/mcc) Monoclinic (P21/a) Cubic (Ia3d) Orthorhombic (Pnma) Monoclinic Rhombohedral (R−3c) Orthorhombic Tetragonal (P42/mnm) Orthorhombic

22

Handbook of Optical Materials Name, Formula, Crystal System, and Space Group for Optical Crystals—continued Name

Magnesium fluoroborate Magnesium fluorophosphate (wagnerite) Magnesium gallate spinel Magnesium gallium borate Magnesium gallium germanate Magnesium germanate Magnesium germanate Magnesium molybdate Magnesium oxide (periclase, Irtran 5) Magnesium phosphate (farringtonite) Magnesium pyroarsenate Magnesium silicate (enstatite) Magnesium silicate (forsterite) Magnesium titanate Magnesium titanate Magnesium titanate (geikielite) Magnesium titanium sulfate Magnesium titanum borate (warwickite) Magnesium tungstate Magnesium vanadate Magnesium vanadate Magnesium vanadate Magnesium vanadate Manganese fluoride Manganese oxide (manganosite) Mercurous bromide (kuzminite) Mercurous chloride (calomel) Mercurous iodide (moschelite) Mercury antimonade Mercury chloride Mercury iodide Mercury oxide Mercury peroxide Mercury selenide (tiemannite) Mercury sulfide (cinnabar) Mercury tellurite (coloradoite) Neodymium calcium aluminum oxide Neodymium gallate Neodymium yttrium aluminum borate Niobium phosphate Potassium aluminum borate Potassium aluminum fluoride Potassium aluminum germanate

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Formula Mg5(BO3)3F Mg2PO4F MgGa2O4 MgGaBO4 Mg4Ga8Ge2O20 MgGeO3 Mg2GeO4 MgMoO4 MgO Mg3(PO4)2 Mg2As2O7 MgSiO3 Mg2SiO4 MgTi2O5 Mg2TiO4 MgTiO3 MgTi(SO4)2 Mg3TiB2O8 MgWO4 MgV2O6 MgVO3 Mg2V2O7 Mg3(VO4)2 MnF2 MnO Hg2Br2 Hg2Cl2 Hg2I2 Hg2Sb2O7 HgCl2 HgI2 HgO Hg2O2 HgSe HgS HgTe NdCaAlO4 NbGaO3 NdxY1-xAl3 (BO3)4 NbOPO4 K2A2lB2O7 K3AlF6 KAlGeO4

Crystal system (Space group) Orthorhombic (P*nb) Monoclinic (P21/a) Cubic (Fd3m) Orthorhombic (Pnam) Monoclinic (P21/a) Orthorhombic (Pbca) Orthorhombic (Pnma) Monoclinic (C2/m) Cubic (Fm3m) Monoclinic Monoclinic (C2/m) Monoclinic (P21/c) Orthorhombic (Pbcn) Orthorhombic (Bbmm) Cubic (Fd3m) Trigonal(R−3) Monoclinic (P21/n) Orthorhombic Monoclinic (P2/c) Orthorhombic (Pbcn) Monoclinic (Cmc21) Monoclinic (C2/m) Orthorhombic (Cmca) Tetragonal (P42/mnm) Cubic (Fm3m) Tetragonal (I4/mmm) Tetragonal (I4/mmm) Tetragonal (I4/mmm) Cubic (Fd3m) Orthorhombic (Pmnb) Tetragonal (P42/mmc) Orthorhombic (Pmna) Monoclinic (C2/m) Cubic (F43m) Trigonal (R32) Cubic (F43m) Tetragonal (I4/mmm) Orthorhombic (Pbnm) Trigonal (R32) Tetragonal (P4/n) Trigonal (P321) Cubic (Pm3m) Hexagonal (P63)

Section 1: Crystalline Materials

23

Name, Formula, Crystal System, and Space Group for Optical Crystals—continued Name Potassium aluminum molybdate Potassium aluminum silicate (kaliophilite) Potassium aluminum silicate (leucite) Potassium aluminum silicate (orthoclase) Potassium aluminum silicate hydroxide (mica) Potassium aluminum sulfate Potassium aluminum tetrafluoride Potassium beryllium fluoride Potassium beryllium fluoroborate (KBBF) Potassium bismuth niobate Potassium boron fluoride (avogadvite) Potassium bromide Potassium cadmium fluoride Potassium calcium fluoride Potassium calcium silicate Potassium calcium zirconium silicate (wadeite) Potassium chloride (sylvite) Potassium dideuterium phosphate (KDP) Potassium dihydrogen phosphate (KDP) Potassium fluoride (carobbiite) Potassium gadolinium niobate Potassium gadolinium tungstate Potassium gadolinium vanadate Potassium gallium germanate Potassium gallium silicate Potassium gallium silicate Potassium indium molybdate Potassium indium tungstate Potassium iodide Potassium iodide Potassium lanthanum molybdate Potassium lanthanum niobate Potassium lanthanum phosphate Potassium lanthanum tetraphosphate Potassium lanthanum tungstate Potassium lead chloride Potassium lithium beryllium fluoride Potassium lithium gadolinium fluoride (KLGF) Potassium lithium niobate (KLN) Potassium lithium yttrium fluoride (KLYF) Potassium lutetium tungstate

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Formula KAl(MoO4)2 KAlSiO4 KAlSi2O6 KAlSi3O8 KAl3Si3O10•(OH)2 KAl(SO4)2 KAlF4 K2BeF4 KBe2BO3F2 KBiNb5O15 KBF4 KBr KCdF3 KCaF3 K2CaSiO4 K2CaZr(SiO3)4 KCl KD2PO4 KH2PO4 KF K2GdNb5O15 KGd(WO4)2 K3Gd(VO4)2 KGaGeO4 KGaSi3O8 KGaSiO4 KIn(MoO4)2 KIn(WO4)2 KI KIO3 KLa(MoO4)4 K2LaNb5O15 K3La(PO4)2 KLaP4O12 KLa(WO4)2 KPb2Cl5 KLiBeF4 KLiGdF5 K3Li2Nb5O15 KLiYF5 KLu(WO4)4

Crystal system (Space group) Trigonal (P−3m1) Hexagonal (P63) Tetragonal (I41/a) Monoclinic (C2/m) Monoclinic Trigonal (P321) Tetragonal (P4/mbm) Orthorhombic (Pna21) Trigonal (R32) Tetragonal Orthorhombic (Cmcm) Cubic (Fm3m) Cubic (Pm3m) Cubic (Pm3M) Orthorhombic (Pnmm) Hexagonal (P63m) Cubic (Fm3m) Hexagonal (P63) Tetragonal (I−42m) Cubic (Fm3m) Tetragonal Monoclinic (C2/c) Monoclinic (P21/m) Hexagonal (P63) Monoclinic (C2/m) Hexagonal (P63) Orthorhombic (Pnam) Trigonal (P−3m1) Cubic (Fm3m) Monoclinic (P1) Tetragonal (I41/a) Tetragonal Monoclinic (P21/m) Monoclinic (P21) Monoclinic (C2/m) Monoclinic (P21/c) Hexagonal (P−3m1) Monoclinic (P21/c) Tetragonal (P4bm) Monoclinic (P21/c) Monoclinic (C2/c)

24

Handbook of Optical Materials

Name, Formula, Crystal System, and Space Group for Optical Crystals—continued Name Potassium lutetium vanadate Potassium magnesium chloride Potassium magnesium fluoride Potassium magnesium fluoride Potassium magnesium sulfate (langbeinite) Potassium niobate (KN) Potassium niobium borate Potassium nitrate (nitre) Potassium pentaborate Potassium scandium molybdate Potassium scandium tungstate Potassium scandium vanadate Potassium sodium aluminum fluoride (elpasolite) Potassium sodium gallium fluoride Potassium sodium lithium niobate Potassium sodium lithum niobate Potassium strontium sulfate (kalistrontite) Potassium tantalate Potassium tantalum borate Potassium tin germanate Potassium tin silicate Potassium titanium germanate Potassium titanium niobate Potassium titanium niobate Potassium titanoarsenate (KTA) Potassium titanophosphate (KTP) Potassium titanum silicate Potassium vanadate Potassium yttrium fluoride Potassium yttrium molybdate Potassium yttrium niobate Potassium yttrium tetrafluoride (KYF) Potassium yttrium tungstate Potassium yttrium vanadate Potassium zinc fluoride Potassium zinc fluoride Rubidium aluminum selenate Rubidium aluminum silicate Rubidium aluminum silicate Rubidium aluminum sulfate Rubidium aluminum tetrafluoride Rubidium beryllium fluoride Rubidium bismuth molybdate

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Formula

Crystal system (Space group)

K3Lu(VO4)4 K2MgCl4 K2MgF4 KMgF3 K2Mg2(SO4)3 KNbO3 KNbB2O6 KNO3 KB5O8•4H2O KSc(MoO4)2 KSc(WO4)2 KSc(VO4)2 K2NaAlF6 K2NaGaF6 KNaLi2Nb5O15 K2NaLi2Nb5O15 K2Sr(SO4)2 KTaO3 KTaB2O6 K2SnGe3O9 K2SnSi3O9 K2TiGe3O9 KTiNbO5 KTi3NbO9 KTiOAsO4 KTiOPO4 K2TiSi3O9 KVO3 KY3F10 KY(MoO4)2 K2YNb5O15 KYF4 KY(WO4)2 K3Y(VO4)2 K2ZnF4 KZnF3 RbAl(SeO4)2 RbAlSiO4 RbAlSi2O6 RbAl(SO4)2 RbAlF4 Rb2BeF4 RbBi(MoO4)2

Monoclinic (P21/m) Tetragonal (I4/mmm) Tetragonal (I4/mmm) Cubic (Pm3m) Cubic (P213) Orthorhombic (Amm2) Orthorhombic (Pn21m) Orthorhombic (Pmcn) Orthorhombic (Aba2) Tetragonal (P–3m1) Trigonal (P–3m1) Trigonal Cubic (Fm3m) Cubic (Fm3m) Trigonal Tetragonal (P4bm) Trigonal Cubic (Pm–3m) Orthorhombic (Pmm) Trigonal (P–3c1) Hexagonal (P63/m) Trigonal (P–3c1) Orthorhombic (Pnma) Orthorhombic (Pnmm) Orthorhombic (P21nb) Orthorhombic (P21nb) Hexagonal (P63/m) Orthorhombic (Pmab) Cubic (Fm3m) Orthorhombic (Pbna) Tetragonal Trigonal (P31) Monoclinic (C2/c) Monoclinic Tetragonal (I4/mmm) Tetragonal Trigonal (P321) Orthorhombic (Pcmn) Tetragonal (I41/a) Trigonal (P321) Tetragonal (P4/mmm) Orthorhombic (Pna21) Monoclinic (P21/c)

Section 1: Crystalline Materials

25

Name, Formula, Crystal System, and Space Group for Optical Crystals—continued Name Rubidium bromide Rubidium cadmium fluoride Rubidium calcium fluoride Rubidium chloride Rubidium dihydrogen arsenate (RDA) Rubidium dihydrogen phosphate (RDP) Rubidium fluoride Rubidium gadolinium bromide Rubidium gadolinium vanadate Rubidium gadolinium vanadate Rubidium gallium selenate Rubidium gallium sulfate Rubidium indium molybdate Rubidium indium tungstate Rubidium iodide Rubidium lanthanum niobate Rubidium lanthanum tungstate Rubidium lithium aluminum fluoride Rubidium lithium gallium fluoride Rubidium lutetium vanadate Rubidium lutetium vanadate Rubidium magnesium chloride Rubidium magnesium fluoride Rubidium niobium borate Rubidium pentaborate Rubidium potassium gallium fluoride Rubidium scandium molybdate Rubidium scandium tungstate Rubidium scandium vanadate Rubidium scandium vanadate Rubidium sodium beryllium fluoride Rubidium sodium indium fluoride Rubidium tantalum borate Rubidium tin germanate Rubidium tin silicate Rubidium titanium germanate Rubidium titanium silicate Rubidium titano arsenate (RTA) Rubidium titano phosphate (RTP) Rubidium yttrium vanadate Rubidium yttrium vanadate Rubidium zinc bromide Rubidium zinc chloride

© 2003 by CRC Press LLC

Formula

Crystal system (Space group)

RbBr RbCdF3 RbCaF3 RbCl RbH2AsO4 RbH2PO4 RbF RbGd2Br7 Rb3Gd(VO4)2 RbGd(VO4)2 RbGa(SeO4)2 RbGa(SO4)2 RbIn(MoO4)2 RbIn(WO4)2 RbI Rb2LaNb5O15 RbLa(WO4)2 Rb2LiAlF6 Rb2LiGaF6 Rb3Lu(VO4)2 RbLu(VO4)2 Rb2MgCl4 Rb2MgF4 RbNbB2O6 RbB5O8•4H2O Rb2KGaF6 RbSc(MoO4)2 RbSc(WO4)2 Rb3Sc(VO4)2 RbSc(VO4)2 Rb3NaBeF8 Rb2NaInF6 RbTaB2O6 Rb2SnGe3O9 Rb2SnSi3O9 Rb2TiGe3O9 Rb2TiSi3O9 RbTiOAsO4 RbTiOPO4 Rb3Y(VO4)2 RbY(VO4)2 Rb2ZnBr4 Rb2ZnCl4

Cubic (Fm3m) Cubic (Pm3m) Cubic (Pm3m) Cubic (Fm3m) Tetragonal (I41/a) Tetragonal ((I–42m) Cubic (Fm3m) Orthorhombic (Pnma) Trigonal Tetragonal (P4/mmm) Trigonal (P321) Trigonal (P321) Trigonal (P321) Trigonal (P321) Cubic (Fm3m) Tetragonal Monoclinic (C2/c) Rhombohedral (R–3m) Rhombohedral (R–3m) Trigonal Trigonal Tetragonal (I4/mmm) Tetragonal (I4/mmm) Orthorhombic (Pn21m) Orthorhombic (Aba2) Cubic (Fm3m) Trigonal (P–3m1) Trigonal (P–3m1) Trigonal Trigonal Hexagonal (P63) Cubic (Fm3m) Orthorhombic (Pn21m) Trigonal (P–3c1) Hexagonal (P63/m) Trigonal (P–3c1) Hexagonal (P63/m) Orthorhombic (P21nb) Orthorhombic (P21nb) Trigonal Trigonal Orthorhombic (Pnma) Orthorhombic (Pnma)

26

Handbook of Optical Materials Name, Formula, Crystal System, and Space Group for Optical Crystals—continued Name

Formula

Crystal system (Space group)

Rubidium zinc fluoride Rubidium zinc fluoride Scandium aluminum beryllate (SCAB)

Rb2ZnF4 RbZnF3 ScAlBeO4

Tetragonal (I4/mmm) Cubic (Pm3m) Orthorhombic (Pmcn)

Scandium borate Scandium calcium borate Scandium gallate Scandium germanate Scandium magnesium borate Scandium metaphosphate Scandium molybdate Scandium niobate Scandium orthosilicate Scandium oxide Scandium phosphate Scandium silicate Scandium tantalate Scandium titanate Scandium tungstate Scandium vanadate Scandium yttrium silicate (thortveitite) Selenium Selenium dioxide (downeyite) Silicon Silicon carbide (carborundum, moissanite) Silicon carbide Silicon dioxide (α-quartz) Silicon nitride Silver antimony sulfide (pyrargyrite) Silver arsenic selenide Silver arsenic sulfide (proustite) Silver arsenic sulfide (trechmannite) Silver bromide (bromyrite) Silver chloride (cerargyrite) Silver gallium selenide Silver gallium sulfide Silver iodide (iodargyrite) Silver mercury iodide Sodium aluminum borate Sodium aluminum chlorosilicate (sodalite) Sodium aluminum fluoride (chiolite) Sodium aluminum fluoride (cryolite) Sodium aluminum fluoroarsenate (durangite) Sodium aluminum fluorophosphate (lacroixite)

ScBO3 ScCaBO4 ScGaO3 Sc2GeO5 ScMgBO4 Sc(PO3)3 Sc2(MoO4)3 ScNbO4 Sc2SiO5 Sc2O3 ScPO4 Sc2Si2O7 ScTaO4 Sc2TiO5 Sc2(WO4)3 ScVO4 (Sc,Y)2Si2O7 Se SeO2 Si α-SiC (2H) β-SiC (3C) SiO2 Si3N4 Ag3SbS3 Ag3AsSe3 Ag3AsS3 AgAsS2 AgBr AgCl AgGaSe2 AgGaS2 AgI Ag2HgI4 Na2Al2B2O7 Na8Al6Si6O24Cl2 Na5Al3F14 Na3AlF6 NaAl(AsO4)F NaAl(PO4)F

Rhombohedral (R–31) Orthorhombic (Pnam) Monoclinic (A2/m) Monoclinic (B2/b) Orthorhombic (Pnam) Monoclinic (Cc) Orthorhombic (Pbcn) Monoclinic (P2/c) Monoclinic (I2/a) Cubic (I213) Tetragonal (I41/amd) Monoclinic (C2/m) Monoclinic (P2/c) Orthorhombic (Bbmm) Orthorhombic (Pcna) Tetragonal (I41/amd) Monoclinic (C2/m) Trigonal (32) Tetragonal (P42/nbc) Cubic (F–43m) Hexagonal (P63/m) Cubic (Fd3m) Trigonal (P312) Hexagonal (P63/m) Trigonal (R3c) Trigonal (R3c) Trigonal (R3c) Tetragonal (I–42d) Cubic (Fm3m) Cubic (Fm3m) Tetragonal (I–42d) Tetragonal (I–42d) Hexagonal (P63mc) Tetragonal (I –4) Tetragonal (I–42d) Cubic Tetragonal (P4/mnc) Monoclinic (P21/n) Monoclinic (C2/c) Monoclinic

© 2003 by CRC Press LLC

Section 1: Crystalline Materials

27

Name, Formula, Crystal System, and Space Group for Optical Crystals—continued Name Sodium aluminum germanate Sodium aluminum silicate (albite) Sodium aluminum silicate (nepheline) Sodium antimony beryllate (swedenburgite) Sodium barium phosphate Sodium barium titanium silicate (batisite) Sodium beryllium fluoride Sodium beryllium fluoroborate Sodium beryllium phosphate (beryllonite) Sodium beryllium silicate (chkalovite) Sodium beryllium silicate Sodium bismuth magnesium vanadate Sodium bismuth zinc vanadate Sodium boron fluoride (ferruccite) Sodium bromide Sodium cadmium magnesium fluoride Sodium cadmium phosphate Sodium cadmium zinc fluoride Sodium calcium fluorophosphate (arctite) Sodium calcium fluorophosphate (nacaphite) Sodium calcium magnesium phosphate (brianite) Sodium calcium phosphate (bushwaldite) Sodium calcium silicate Sodium calcium silicate (combeite) Sodium calcium yttrium fluoride (α-gagarinite) Sodium carbonate (natrite Sodium chloride (halite) Sodium fluoride (villiaumite) Sodium gadolinium arsenate Sodium gadolinium germanate Sodium gadolinium germanate Sodium gadolinium magnesium vanadate Sodium gadolinium molybdate Sodium gadolinium oxide Sodium gadolinium phosphate Sodium gadolinium pyrophosphate Sodium gadolinium silicate Sodium gadolinium silicate Sodium gadolinium silicate Sodium gadolinium tetraphosphate Sodium gadolinium tungstate Sodium gadolinium vanadate Sodium gallium borate

© 2003 by CRC Press LLC

Formula NaAlGeO4 NaAlSi3O8 NaAlSiO4 NaSbBe4O7 NaBaPO4 Na2BaTi2Si4O14 Na2BeF4 NaBe2BO3F2 NaBePO4 Na2BeSi2O6 Na2BeSiO4 Na2BiMg2V3O12 Na2BiZn2V3O12 NaBF4 NaBr NaCdMg2F7 NaCdPO4 NaCdZn2F7 Na2Ca4(PO4)3F Na2CaPO4F Na2CaMg(PO4)2 NaCaPO4 Na2CaSiO4 Na2Ca2Si3O9 α-NaCaYF6 Na2CO3 NaCl NaF Na3Gd(AsO4)2 NaGdGeO4 Na5GdGe4O12 Na2GdMg2V3O12 NaGd(MoO4)2 NaGdO2 Na3Gd(PO4)2 NaGdP2O7 NaGdSiO4 Na3GdSi3O9 Na5GdSi4O12 NaGdP4O12 NaGd(WO4)2 Na3Gd(VO4)2 Na2Ga2B2O7

Crystal system (Space group) Monoclinic (P21/n) Triclinic (P–1) Hexagonal (P63) Hexagonal (P63mc) Hexagonal (P–3m1) Orthorhombic Monoclinic (P21/n) Trigonal (R32) Monoclinic (P21/n) Orthorhombic (Fddd) Orthorhombic (Pca21) Cubic (Ia3d) Cubic (Ia3d) Orthorhombic (Cmcm) Cubic (Fm3m) Cubic (Fd3m) Orthorhombic (Pnma) Cubic (Fd3m) Trigonal Orthorhombic Orthorhombic Orthorhombic (Pnam) Cubic (Fm3m) Trigonal (P31221) Hexagonal Hexagonal (P63mc) Cubic (Fm3m) Cubic (Fm3m) Monoclinic (Cc) Orthorhombic (Pbn21) Trigonal (R32) Cubic (Ia3d) Tetragonal (I41/a) Tetragonal (I41/amd) Monoclinic Monoclinic Orthorhombic (Pbn21) Orthorhombic (P212121) Trigonal (R32) Monoclinic (P21/n) Tetragonal (I41/a) Monoclinic (Cc) Tetragonal

28

Handbook of Optical Materials Name, Formula, Crystal System, and Space Group for Optical Crystals—continued Name

Sodium gallium germanate Sodium gallium germanate Sodium gallium silicate Sodium germanate Sodium indate Sodium indium germanate Sodium indium molybdate Sodium indium silicate Sodium iodide Sodium lanthanum arsenate Sodium lanthanum borate Sodium lanthanum borate Sodium lanthanum borate Sodium lanthanum molybdate Sodium lanthanum oxide Sodium lanthanum phosphate Sodium lanthanum pyrophosphate Sodium lanthanum tetraphosphate Sodium lanthanum tungstate Sodium lanthanum vanadate Sodium lithium aluminum borosilicate (elbaite) Sodium lithium aluminum fluoride Sodium lithium aluminum fluorogarnet Sodium lithium gallium fluorogarnet (GFG) Sodium lithium indium fluorogarnet Sodium lithium niobate Sodium lithium scandium fluorogarnet Sodium lithium vanadate Sodium lithium yttrium silicate Sodium lithium zirconium silicate (Zektzerite) Sodium lutetium arsenate Sodium lutetium germanate Sodium lutetium germanate Sodium lutetium magnesium vanadate Sodium lutetium oxide Sodium lutetium phosphate Sodium lutetium pyrophosphate Sodium lutetium silicate Sodium lutetium silicate Sodium lutetium vanadate Sodium magnesium aluminum fluoride (weberite) Sodium magnesium carbonate (eitelite)

© 2003 by CRC Press LLC

Formula NaGaGeO4 NaGaGe2O6 NaGaSiO4 Na2GeO3 NaInO2 Na5InGe4O12 NaIn(MoO4)2 Na5InSi4O12 NaI Na3La(AsO4)2 Na3La(BO3)2 Na3La2(BO3)3 Na18La(BO3)7 NaLa(MoO4)2 NaLaO2 Na3La(PO4)2 NaLaP2O7 NaLaP4O12 NaLa(WO4)2 Na3La(VO4)2 Na(Li,Al)3Al6(BO3)3Si6O18(OH) Na2LiAlF6 Na3Li3Al2F12 Na3Li3Ga2F12 Na3Li3In2F12 Na3Li2Nb5O15 Na3Li3Sc2F12 NaLiV2O6 Na2LiYSi6O15 Na2LiZrSi6O15 Na3Lu(AsO4)2 NaLuGeO4 Na5LuGe4O12 Na2LuMg2V3O12 NaLuO2 Na3Lu(PO4)2 NaLuP2O7 NaLuSiO4 Na5LuSi4O12 Na3Lu(VO4)2 NaMgAlF7 Na2Mg(CO3)2

Crystal system (Space group) Monoclinic (P21/n) Monoclinic (C2/c) Monoclinic (P21/n) Orthorhombic (Cmc21) Rhombohedral (R3/m) Trigonal (R32) Triclinic (P–1) Trigonal (R32) Cubic (Fm3m) Orthorhombic (Pbc21) Monoclinic (P21/c) Orthorhombic (Amm2) Monoclinic Tetragonal (I41/a) Tetragonal (I41/amd) Orthorhombic (Pbc21) Orthorhombic Monoclinic (P21/n) Tetragonal (I41/a) Orthorhombic (Pbc21) Trigonal (R3m) Monoclinic (P21/n) Cubic (Ia3d) Cubic (Ia3d) Cubic (Ia3d) Tetragonal (P4bm) Cubic (Ia3d) Monoclinic (C2/c) Orthorhombic (Cmca) Orthorhombic (Cmca) Monoclinic (Cc) Orthorhombic (Pbn21) Trigonal (R32) Cubic (Ia3d) Tetragonal(I41/amd) Monoclinic Monoclinic Orthorhombic (Pbcn) Trigonal (R32) Monoclinic (P21/n) Orthorhombic (Imm2) Trigonal (R –3)

Section 1: Crystalline Materials

29

Name, Formula, Crystal System, and Space Group for Optical Crystals—continued Name Sodium magnesium fluoride (neighborite) Sodium magnesium gallium fluoride Sodium magnesium indium fluoride Sodium magnesium scandium fluoride Sodium magnesium silicate Sodium niobate (natroniobite) Sodium nitrate (soda-nitre) Sodium potassium titanoniobosilicate Sodium scandium germanate Sodium scandium germanate Sodium scandium germanate Sodium scandium indium vanadate Sodium scandium oxide Sodium scandium silicate Sodium scandium silicate Sodium scandium silicate (jervisite) Sodium scandium vanadate Sodium silicate Sodium silicate (natrosilite) Sodium strontium aluminum fluoride Sodium strontium aluminum fluoride (jarlite) Sodium strontium phosphate Sodium tantalate Sodium titanium silicate (lorenzenite) Sodium titanium silicate (natisite) Sodium vanadate Sodium yttrium fluoride Sodium yttrium fluorosilicate Sodium yttrium germanate Sodium yttrium germanate Sodium yttrium magnesium vanadate Sodium yttrium molybdate Sodium yttrium oxide Sodium yttrium silicate Sodium yttrium silicate Sodium yttrium silicate Sodium yttrium silicate Sodium yttrium tetrafluoride Sodium zinc chloride Sodium zinc fluoride Strontium aluminate Strontium aluminate Strontium aluminate

© 2003 by CRC Press LLC

Formula NaMgF3 NaMgGaF7 NaMgInF7 NaMgScF7 Na2MgSiO4 NaNbO3 NaNO3 Na2KTiNbSi4O14 NaScGeO4 NaScGe2O6 Na5ScGe4O12 Na3Sc1.5In0.5V3O12 NaScO2 Na3ScSi2O7 Na5ScSi4O12 NaScSi2O6 Na3Sc2V3O12 Na2SiO3 Na2Si2O5 NaSrAlF6 NaSr3Al3F16 Na2Sr(PO2)4 NaTaO3 Na2Ti2Si2O9 Na2TiOSiO4 NaVO3 5NaF–9YF3 Na5Y4(SiO4)4F NaYGeO4 Na5YGe4O12 Na2YMg2V3O12 NaY(MoO4)2 NaYO2 NaYSiO4 Na3YSi3O9 Na3YSi2O7 Na5YSi4O12 NaYF4 NaZnF3 Na2ZnCl4 SrAl2O4 SrAl4O7 Sr3Al2O6

Crystal system (Space group) Orthorhombic (Pcmm) Orthorhombic (Imm2) Orthorhombic (Imm2) Orthorhombic (Imm2) Monoclinic Orthorhombic (Pbma) Trigonal (R–3c) Orthorhombic Orthorhombic (Pbnm) Monoclinic (C2/m) Trigonal (R32) Cubic (Ia3d) Rhombohedral (R3/m) Orthorhombic (Pbcn) Trigonal (R32) Monoclinic (C2/c) Cubic (Ia3d) Orthorhombic (Cmc21) Monoclinic(P21/a) Orthorhombic (Pna21) Monoclinic Tetragonal (P4/nbm) Orthorhombic (Pbma) Orthorhombic (Pnca) Tetragonal (P4/nmm) Monoclinic (C2/c) Cubic (Ia3d) Rhombohedral (R–3) Orthorhombic (Pbn21) Trigonal (R32) Cubic (Ia3d) Tetragonal (I41/a) Monoclinic (P21/c) Orthorhombic (Pbcn) Orthorhombic (P212121) Hexagonal (P63/m) Trigonal (R32) Trigonal (P31) Orthorhombic (Pnmc) Orthorhombic (Pnma) Monoclinic (P21/n) Monoclinic (C2/c) Cubic (Pa3)

30

Handbook of Optical Materials Name, Formula, Crystal System, and Space Group for Optical Crystals—continued Name

Strontium aluminum fluoride Strontium aluminum germanate Strontium aluminum silicate Strontium aluminum silicate Strontium barium niobate (SBN) Strontium borate Strontium borate Strontium borate Strontium bromovanadate Strontium carbonate (strontianite) Strontium chloroarsenate Strontium chloroarsenate Strontium chloroborate Strontium chlorophosphate Strontium chlorovanadate Strontium chlorovanadate Strontium fluoride Strontium fluoroarsenate Strontium fluorophosphate (SFAP) Strontium fluorovanadate (SVAP) Strontium gadolinium aluminate Strontium gadolinium gallate (SGGM) Strontium gadolinium phosphate Strontium gadolinum oxide Strontium gallate Strontium gallium fluoride Strontium gallium germanate Strontium gallium silicate Strontium gallium silicate Strontium hexa-aluminate Strontium indium germanium garnet Strontium indium oxide Strontium lanthanum aluminate Strontium lanthanum borate Strontium lanthanum gallate Strontium lanthanum oxysilicate Strontium lanthanum phosphate Strontium lutetium oxide Strontium magnesium germanate Strontium magnesium silicate Strontium magnesium vanadate Strontium molybdate Strontium niobate

© 2003 by CRC Press LLC

Formula

Crystal system (Space group)

SrAlF5 SrAl2Ge2O8 SrAl2Si2O8 Sr2Al2SiO7 Sr0.6Ba0.4Nb2O6 SrB2O4 SrB4O7 Sr3B2O6 Sr2VO4Br SrCO3 Sr2AsO4Cl Sr5(AsO4)3Cl Sr2B5O9Cl Sr5(PO4)3Cl Sr2VO4Cl Sr5(VO4)3Cl SrF2 Sr5(AsO4)3F Sr5(PO4)3F Sr5(VO4)3F SrGdAlO4 SrGdGa3O7 Sr3Gd(PO4)3 SrGd2O4 SrGa2O4 SrGaF5 Sr3Ga2Ge4O14 SrGa2Si2O8 Sr2Ga2SiO7 SrAl12O19 Sr3In2Ge3O12 SrIn2O4 SrLaAlO4 SrLaBO4 SrLaGaO4 SrLa4(SiO4)3O Sr3La(PO4)3 SrLu2O4 Sr2MgGe2O7 Sr2MgSi2O7 SrMg2(VO4)2 SrMoO4 SrNb2O6

Tetragonal (P4) Monoclinic (P21/a) Monoclinic (P21/a) Tetragonal (P421m) Tetragonal Orthorhombic (Pnca) Orthorhombic (Pbca) Rhombohedral (R–3c) Orthorhombic (Pbcm) Orthorhombic (Pnam) Orthorhombic (Pbcm) Hexagonal(P63/m) Tetragonal (P42212) Hexagonal(P63/m) Orthorhombic (Pbcm) Hexagonal(P63/m) Cubic (Fm3m) Hexagonal(P63/m) Hexagonal(P63/m) Hexagonal(P63/m) Tetragonal (I4/mmm) Tetragonal (P421m) Cubic (I–43d) Orthorhombic (Pnma) Monoclinic (P21/n) Tetragonal (P4) Trigonal (P321) Monoclinic (P21/a) Tetragonal (P421m) Hexagonal (P63/mmc) Cubic (Ia3d) Orthorhombic (Pnma) Tetragonal (I4/mmm) Hexagonal (P6322) Tetragonal (I4/mmm) Hexagonal (P63/m) Cubic (I–43d) Orthorhombic (Pnma) Tetragonal (P421m) Tetragonal (P421m) Tetragonal (I41/acd) Tetragonal (I41/a) Orthorhombic (Pcan)

Section 1: Crystalline Materials

31

Name, Formula, Crystal System, and Space Group for Optical Crystals—continued Name Strontium niobate Strontium niobate Strontium niobate Strontium potassium niobate Strontium potassium tantalate Strontium scandate Strontium scandium germanium garnet Strontium silicate Strontium sodium niobate Strontium sulfate (celestite) Strontium tantalate Strontium tin borate Strontium tin oxide Strontium titanate Strontium titanate (tausonite) Strontium titanium borate Strontium tungstate Strontium vanadate Strontium vanadate Strontium vanadate Strontium vanadate Strontium vanadate Strontium yttrium borate Strontium yttrium oxide Strontium yttrium oxysilicate Strontium zinc fluoride Strontium zinc germanate Strontium zinc germanate Strontium zinc silicate Strontium zirconate Strontium zirconium borate Strontiun tantalate Strontiun tantalate Strontiun tantalate Strontiun tantalate Tantalum borate (behierite) Tantalum oxide (tantite) Tantalum oxyphosphate Tellurium Tellurium oxide (tellurite) Thallium aluminum selenate Thallium aluminum sulfate Thallium aluminum tetrafluoride

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Formula Sr2Nb2O7 Sr5Nb4O15 SrNb2O6 Sr2KNb5O15 Sr2KTa5O15 SrSc2O4 Sr3Sc2Ge3O12 SrSiO3 Sr2NaNb5O15 SrSO4 Sr2Ta2O7 SrSnB2O6 SrSnO3 Sr3Ti2O7 SrTiO3 SrTiB2O6 SrWO4 SrV2O6 β-Sr2V2O7 Sr3(VO4)2 β-Sr2V2O7 SrVO3 Sr3Y (BO3)3 SrY2O4 SrY4(SiO4)3O SrZnF4 SrZnGe2O6 Sr2ZnGe2O7 Sr2ZnSi2O7 SrZrO3 SrZrB2O6 SrTa2O6 Sr2Ta2O7 Sr5Ta4O15 Sr6Ta2O11 TaBO4 Ta2O5 TaOPO4 Te TeO2 TlAl(SeO4)2 TlAl(SO4)2 TlAlF4

Crystal system (Space group) Orthorhombic (Cmc21) Monoclinic (P21/m) Monoclinic (P21/c) Orthorhombic (Im2a) Orthorhombic (Im2a) Orthorhombic (Pnam) Cubic (Ia3d) Monoclinic (C2) Orthorhombic (Im2a) Orthorhombic (Pmma) Orthorhombic (Pnma) Trigonal (R–3) Cubic (P213) Tetragonal (I4/mmm) Cubic (Pm3m) Trigonal (R–3) Tetragonal (I41/a) Monoclinic (C2/m) Tetragonal (I41/amd) Rhombohedral (R –3m) Tetragonal (P41) Cubic (Pm3m) Trigonal (R–3) Orthorhombic (Pnma) Hexagonal (P63/m) Tetragonal (I41/a) Monoclinic (C2/c) Tetragonal (P421m) Tetragonal (P421m) Orthorhombic (Pnma) Trigonal (R–3) Orthorhombic (Pcan) Orthorhombic (Cmcm) Hexagonal Cubic Tetragonal (I41/amd) Orthorhombic (P2mm) Tetragonal (P4/n) Trigonal (32) Orthorhombic (Pbca) Trigonal (P321) Trigonal (P321) Tetragonal (P4/mmm)

32

Handbook of Optical Materials Name, Formula, Crystal System, and Space Group for Optical Crystals—continued Name

Thallium arsenic selenide Thallium arsenic sulfide (ellisite) Thallium bromide Thallium bromoiodide (KRS-5) Thallium chloride Thallium chlorobromide (KRS-6) Thallium gallium selenate Thallium gallium sulfate Thallium niobium borate Thallium oxide (avicennite) Thallium tantalium borate Thallium tin germanate Thallium titanium germanate Thorium oxide (thorianite) Thorium silicate (thorite) Tin dioxide (cassiterite) Titanium dioxide (rutile) Tourmaline (elbaite) Urea Vanadium oxide (shcherbinaite) Yttrium aluminate Yttrium aluminate (YAP, YALO) Yttrium aluminum borate (YAB) Yttrium aluminum garnet (YAG) Yttrium antimonade Yttrium arsenate (chernovite) Yttrium beryllate Yttrium beryllium aluminate Yttrium borate Yttrium calcium aluminate Yttrium calcium gallium beryllium silicate Yttrium calcium oxyborate Yttrium chlorosilicate Yttrium fluoride Yttrium gadolinium antimonade Yttrium gadolinium niobate Yttrium gadolinium tantalate Yttrium gallium borate Yttrium gallium garnet (YGG) Yttrium germanate Yttrium germanium beryllate Yttrium hafnium tantalate

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Formula Tl3AsSe3 Tl3AsS3 TlBr Tl(Br,I) TlCl Tl(Cl,Br) TlGa(SeO4)2 TlGa(SO4)2 TlNbB2O6 Tl2O3 TlTaB2O6 Tl2SnGe3O9 Tl2TiGe3O9 ThO2 ThSiO4 SnO2 TiO2 Na(Li,Al)3Al6(BO3)3Si6O18(OH) (NH2)2CO V2 O 5 Y4Al2O9 YAlO3 YAl3(BO3)4 Y3Al5O12 Y3SbO7 YAsO4 YBeBO4 Y2BeAl2O7 YBO3 YCaAl3O7 YCaGaBe2Si2O10 YCa4O(BO3)3 Y3(SiO4)2Cl YF3 Y2GdSbO7 YGd2NbO7 Y2GdTaO7 YGa3(BO3)4 Y3Ga5O12 Y2GeO5 Y2GeBe2O7 YHfTaO6

Crystal system (Space group) Trigonal (R3c) Trigonal (R3c) Cubic (Fm3m) Cubic (Fm3m) Cubic (Fm3m) Cubic (Fm3m) Trigonal (P321) Trigonal (P321) Orthorhombic (Pn21m) Cubic (Ia3d) Orthorhombic (Pn21m) Trigonal (P–3c1) Hexagonal (P63/m) Cubic (Fm3m) Tetragonal (I41/amd) Tetragonal (P42/mnm) Tetragonal (P42/mnm) Trigonal (R3m) Tetragonal (I – 4 2m) Orthorhombic (Pmmm) Monoclinic (P21/a) Orthorhombic (Pnma) Trigonal (R32) Cubic (Ia3d) Orthorhombic (C2221) Tetragonal (I41/amd) Monoclinic (C2/c) Tetragonal (P421m) Hexagonal (P63/mmc) Tetragonal (P421m) Monoclinic (P21/c) Monoclinic (Cm) Orthorhombic (Pnma) Orthorhombic (Pnma) Orthorhombic (C2221) Orthorhombic (C2221) Orthorhombic (C2221) Trigonal (R32) Cubic (Ia3d) Monoclinic (P21/c) Tetragonal (P421m) Orthorhombic

Section 1: Crystalline Materials

33

Name, Formula, Crystal System, and Space Group for Optical Crystals—continued Name Yttrium indate Yttrium indium gallium garnet Yttrium iron garnet (YAG) yttrium lithium fluoride (YLF) Yttrium magnesium beryllium silicate (gadolinite) Yttrium molybdate Yttrium niobate (fergusonite) Yttrium orthosilicate (YOS, YSO) Yttrium oxide (yttria) Yttrium oxychloride Yttrium molybdate Yttrium oxymolybdate Yttrium oxysulfate Yttrium oxytungstate Yttrium pentaphosphate Yttrium phosphate (xenotime) Yttrium scandate Yttrium scandium aluminum garnet (YSAG) Yttrium scandium gallium garnet (YSGG) Yttrium silicate (keiviite) Yttrium silicon beryllate Yttrium tantalate Yttrium tantalate (formanite) Yttrium titanate Yttrium titanium silicate (trimounsite) Yttrium titanium tantalate Yttrium tungstate Yttrium vanadate (wakefieldite) Yttrium zinc beryllium silicate Zinc aluminate (gahnite) Zinc antimonate (ordonezite) Zinc arsenate Zinc arsenide (reinerite) Zinc borate Zinc borate Zinc borate Zinc carbonate (smithsonite) Zinc chloride Zinc fluoride Zinc gallate Zinc germanate Zinc germanium arsenide Zinc germanium phosphide

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Formula

Crystal system (Space group)

YInO3 Y3In2Ga3O12 Y3Fe5O12 LiYF4 Y2MgBe2Si2O10 Y2(MoO4)3 YNbO4 Y2SiO5 Y2 O3 YOCl Y2Mo2O7 Y2MoO6 Y2OS2 Y2WO6 YP5O14 YPO4 YScO3 Y3Sc2Al3O12 Y3Sc2Ga3O12 Y2Si2O7 Y2SiBe2O7 Y3TaO7 YTaO4 Y2Ti2O7 Y2Ti2SiO9 YTiTaO6 Y2(WO4)3 YVO4 Y2ZnBe2Si2O10 ZnAl2O4 ZnSb2O6 ZnAsO4 Zn3(AsO3)2 Zn3(BO3)2 ZnB4O7 Zn4B6O13 ZnCO3 ZnCl2 ZnF2 ZnGa2O4 Zn2GeO4 ZnGeAs2 ZnGeP2

Hexagonal (P63cm) Cubic (Ia3d) Cubic (Ia3d) Tetragonal (I41/a) Monoclinic (P21/c) Orthorhombic (Pbcn) Monoclinic (C2/c) Monoclinic (C2/c) Cubic (Ia3) Rhombohedral (R–3m) Cubic (Fd3m) Monoclinic (I2/c) Monoclinic (P21/c) Monoclinic (P2/c) Orthorhombic (Pcmn) Tetragonal (I41/amd) Orthorhombic (Pbnm) Cubic (Ia3d) Cubic (Ia3d) Monoclinic (C2/m) Tetragonal (P421m) Orthorhombic (C2221) Monoclinic (P2/a) Cubic (Fd3m) Monoclinic Orthorhombic (Pbcn) Orthorhombic (Pcna) Tetragonal (I41/amd) Monoclinic (P21/c) Cubic (Fd3m) Tetragonal (P42/mnm Monoclinic (P21/c) Orthorhombic (Pbam) Monoclinic (P2/c) Othorhombic (Pbca) Cubic (I–43m) Rhombohedral (R –3c) Tetragonal (P42/mnm) Tetragonal (P42/mnm) Cubic (Fd3m) Tetragonal (I4122) Tetragonal (I–42d) Tetragonal (I–42d)

34

Handbook of Optical Materials Name, Formula, Crystal System, and Space Group for Optical Crystals—continued Name

Formula

Crystal system (Space group)

Zinc oxide (zincite)

ZnO

Hexagonal (6mm)

Zinc pyroarsenade

Zn2As2O7

Monoclinic (C2/m)

Zinc selenide (stilleite, Irtran 4)

ZnSe

Cubic (Fm3m)

Zinc silicate (willemite)

Zn2SiO4

Trigonal (R–3)

Zinc silicon arsenide

ZnSiAs2

Tetragonal (I–42d)

Zinc silicon phosphide

ZnSiP2

Tetragonal (I–42d)

Zinc sulfide (sphalerite, Irtran 2, zincblende)

β-ZnS

Cubic (Fm3m)

Zinc sulfide (wurtzite)

α-ZnS

Hexagonal (P6mm)

Zinc telluride

ZnTe

Cubic (Fm3m)

Zinc tin antimonide

ZnSnSb2

Tetragonal (I–42d)

Zinc tin arsenide

ZnSnAs2

Tetragonal (I–42d)

Zinc tin phosphide

ZnSnP2

Tetragonal (I–42d)

Zinc tungstate

ZnWO4

Monoclinic (P2/c)

Zinc vanadate

ZnV2O6

Monoclinic (C2)

Zirc silicon arsenate

ZnSiAs2

Cubic (F–43m)

Zirconium oxide

ZrO2

Tetragonal (P42/nmc)

Zirconium oxide (cubic zirconia, CZ)

ZrO2:0.12Y2O3

Cubic (Fm3m)

Zirconium silicate (zircon)

ZrSiO4

Tetragonal (I41/amd)

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Section 1: Crystalline Materials

35

1.2 Physical Properties* Physical properties of optical crystals in this section are grouped into three tables: isotropic crystals, uniaxial crystals, and biaxial crystals. Materials are listed alphabetically in order of the chemical formulas. The following properties are included: Density: Data are for room temperature. Hardness: This is an empirical and relative measure of a material’s resistance to wear. Average Knoop (indentation test) hardness numbers or range of values at room temperature are given when available. In many cases only Vicker (V) or Mohs hardness are known. This is indicated parentheses after the value. The hardness of a crystal varies with orientation even for cubic symmetry crystals. Cleavage: The ease of cleavage varies greatly depending on the crystal quality and the nature and direction of stress applied. In many crystals there can be more than one set of cleavage planes. Miller indices are used to denote the cleavage planes. The actual number of cleavage planes depends on the plane orientation relative to the symmetry of the crystal. Only the easiest cleavage plane for each crystal is listed. They are ranked qualitatively as perfect (p) or imperfect (i). A crystal listed with a perfect cleavage plane can crack along that direction with a smooth surface if a stress is applied. The imperfect cleavage plane means that the crack does not easily move along the plane, although a small area of oriented flat surfaces may form along the cracking surface when the crystal is fractured. Solubility : Solubility is defined as the weight loss in grams per 100 grams of water. The dissolution temperature in °C is included in parentheses, if given. If the solubility is less than 10-3 g/100 g, the material is generally considered to be insoluble. If a crystal is listed as insoluble, it means that, when submerged in water with a reasonable amount of time (a day or so), no noticeable loss of weight nor visible surface erosion of the crystal is observed. * This section was adapted from “Optical Crystals” by B. H. T. Chai, Handbook of Laser Science and Technology, Suppl. 2, Optical Materials (CRC Press, Boca Raton, FL, 1995), p. 30 ff (with additions). 1.2.1 Isotropic Crystals Physical Properties of Isotropic Crystalline Materials Cubic material AgBr AgCl AlAs Al23O27N5 (ALON) AlP AlSb As2O3 Ba(NO3)2 Ba2Zr2Si3O12 Ba3Al2O6

© 2003 by CRC Press LLC

Density 3

(g/cm ) 6.473 5.56 3.729 3.713 2.40 4.26 3.87 3.24 – 5.008

Hardness 2

(kg/mm ) 7 9.5 – 1850 – – 1.5 (Mohs) – – –

Cleavage

Solubility (ºC)

plane

(g/100 g H2O)

None None (111)-p – – – (111) None – –

1.2 × 10–5 (20) 1.5 × 10–4 (20) Insoluble Insoluble Slightly soluble Soluble Soluble Insoluble –

Physical Properties of Isotropic Crystalline Materials—continued Cubic material Ba3MgTa2O9 BaF2 BaF2-CaF2 Bi12GeO20 Bi12SiO20 Bi12TiO20 Bi4Ge3O12 Bi4Si3O12 BN BP C (diamond) Ca12Al14O33 Ca2LiMg2V3O12 Ca2LiZn2V3O12 Ca2NaMg2V3O12 Ca2NaZn2V3O12 Ca2Sb2O7 Ca3Al2Ge3O12 Ca3Al2Si3O12 Ca3Ga2Ge3O12 Ca3Gd(PO4)3 Ca3In2Ge3O12 Ca3La(PO4)3 Ca3Lu2Ge3O12 Ca3Sc2Ge3O12 Ca3Sc2Si3O12 CaF2 CaLa2S4 CaO CaTiO3 CaY2Mg3Ge3O12 Cd2Nb2O7 Cd2Sb2O7 Cd3Sc2Ge3O12 CdB2O4 CdF2 CdGa2O4 CdIn2O4 CdO CdTe Cs2KLaF6 Cs2NaYF6 CsBr © 2003 by CRC Press LLC

Density 3

(g/cm ) 6.435 4.83 4.89 9.22 9.20 9.069 7.13 6.60 3.48 2.97 3.51 2.68 3.447 3.726 3.414 3.976 – 4.357 3.60 4.837 3.900 5.063 3.678 5.668 4.203 3.514 3.180 4.524 3.3 3.98 – 6.216 – 5.749 4.58 6.64 – 7.00 8.24 6.20 3.95 4.397 4.44

Hardness 2

(kg/mm ) – 82(500) – 4.5(Mohs) – – 5.0 (Mohs) 4.5 (Mohs) 4600 3600 5700–10400 – – – – – – – 7 (Mohs) – – – – – – – 158 570 3.5 – – – – – – – – – 3 (Mohs) 56 – – 19.5

Cleavage

Solubility (ºC)

plane

(g/100 g H2O)

– (111)-p (111)-p None None None None (110)-i (111) – (111) None – – – – None None None None – None – None None None (111)-p – (100)-p – None None None None – (111)-p None None (111) (110)-p None None None

Insoluble 0.12 0.16 Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble – – – – Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble 1.6 × 10–3 (18) – 0.13(10) Insoluble Insoluble Insoluble Insoluble Insoluble – 4.4 (20) Insoluble – – Very slightly soluble Slightly soluble Slightly soluble 124 (25)

Physical Properties of Isotropic Crystalline Materials—continued Cubic material

Density 3

(g/cm )

Hardness 2

(kg/mm )

CsCaF3 CsCdF3 CsCl CsF CsI CsSrF3 Cu2O CuBr CuCl CuI GaAs GaP GaSb Gd2Ti2O7 Gd3Ga5O12 Gd3Sc2Al3O12 Gd3Sc2Ga3O12 Ge Hg2Sb2O7 HgSe HgTe InAs InP InSb

4.123 5.62 3.9 4.638 4.510 4.299 6.11 4.77 4.14 5.68 5.316 4.13 5.619 6.52 7.02 5.82 – 5.35 – 8.266 – 5.66 4.8 5.78

– – – – 1–2 (Mohs) – 3.5 (Mohs) 21 2.5 (Mohs) 2.5 (Mohs) 721 – – 1114 6.5–7(Mohs) 7.5 (Mohs) 7.0 (Mohs) 800 – – – 330 430 225

K2Mg2(SO4)3 K2NaAlF6 K2NaGaF6 K3AlF6 KBr KCaF3 KCdF3 KCl KF KI KMgF3 KTaO3 KY3F10 La3Lu2Ga3O12 Li2BeF4 Li2CdCl4 Li2MgCl4 LiAl5O8 LiBaF3

2.83 2.99 3.34 – 2.75 2.709 4.264 1.984 2.48 3.12 3.15 7.015 4.312 – 2.289 2.956 2.119 3.625 5.242

3.5 (Mohs) 2.5 (Mohs) – – 7.0(200) – – 9.3(200) 2 (Mohs) 5 2.5 (Mohs) – 4.5 (Mohs) 7.0 (Mohs) – – – – –

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Cleavage

Solubility (ºC)

plane

(g/100 g H2O)

– – None (100)-p None – (111)-i – (110)-p (110)-p (111)-p (111)-p (111)-p None None None None (111) None – – (111)-p (111)-p (111)-p None None None None (100)-p – – (100)-p (100)-p (100)-p None – None None – – – None –

Slightly soluble – 186 (20) 367 (18) 44 (0) – Insoluble Very slightly soluble 6.1 × 10–3 – <5 × 10–3 (25) Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble – Insoluble Insoluble Insoluble Slightly soluble Slightly soluble Slightly soluble Soluble 65.2 (20) – – 34.7 (20) 92.3 (18) 144 (20) Insoluble Insoluble Insoluble Insoluble – – – Insoluble –

Physical Properties of Isotropic Crystalline Materials—continued Cubic material LiBr LiCl LiF LiGa5O8 LiI Lu2O3 Lu2Ti2O7 Lu3Al5O12 Lu3Ga5O12 Lu3Sc2Ga3O12 LuScO3 Mg2TiO4 Mg3Al2Si3O12 MgAl2O4 MgGa2O4 MgO MnO Na2BiMg2V3O12 Na2BiZn2V3O12 Na2CaSiO4 Na2GdMg2V3O12 Na2LuMg2V3O12 Na2YMg2V3O12 Na3Li3Al2F12 Na3Li3Ga2F12 Na3Li3In2F12 Na3Li3Sc2F12 Na3Sc2V3O12 Na8Al6Si6O24Cl2 NaBr NaCdMg2F7 NaCdZn2F7 NaCl NaF 5NaF -9YF3 NaI Pb(NO3)2 Pb2Sb2O7 PbF2 PbS PbSe PbTe Rb2KGaF6 © 2003 by CRC Press LLC

Density 3

(g/cm ) 3.464 2.068 2.635 5.819 4.076 9.426 7.31 6.695 7.828 – – 3.546 3.58 3.58 5.37 3.58 5.44 4.388 4.919 2.821 4.115 4.332 3.668 2.77 3.20 3.54 2.66 3.342 2.27 3.203 3.968 4.838 2.165 2.588 4.22 3.667 4.530 – 8.24 7.5 8.10 8.164 3.751

Hardness 2

(kg/mm )

Cleavage

Solubility (ºC)

plane

(g/100 g H2O)

– (100)-p – (100)-p 110 (600) (100)-p – None – (100)-p – – 1264 None 7.5 (Mohs) None 7.0 (Mohs) None 7.0 (Mohs) None – – – – 7.5 (Mohs) None 1140 (1000) None 7.0 (Mohs) None 690 (600) (100)-p 5.5 (Mohs) (100)-p – – – – – – – – – – – – 2 (Mohs) (011)-i 2 (Mohs) None 2 (Mohs) None 2 (Mohs) None – – 5.5 (Mohs) (110)-i – (100)-p – – – – 18 (200) (100)-p 60 (100)-p 2 (Mohs) None – (100)-p – – – None 200 (111)-p 2.5–2.75 (Mohs)(100)-p – (100)-p – (100)-p – None

145 (4) 63.7 (0) 0.27 (18) Insoluble 168 (20) – Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble 6.2 × 10–4 Insoluble – – Insoluble – – – – – – – – Insoluble 91 (20) – – 39.8 (0) 4.2 (18) Insoluble 179 (20) – Insoluble 0.064 (20) 6.6 × 10–5 Insoluble Insoluble –

Physical Properties of Isotropic Crystalline Materials—continued Cubic material Rb2NaInF6 RbBr RbCaF3 RbCl RbF RbI RbZnF3 Sb2O3 Sc2O3 Si β-SiC β-SiC (CVD) Sr3Al2O6 Sr3Gd(PO4)3 Sr3In2Ge3O12 Sr3La(PO4)3 Sr3Sc2Ge3O12 Sr6Nb2O11 Sr6Ta2O11 SrF2 SrSnO3 SrTiO3 SrVO3 ThO2 Tl(Br,I) Tl(Cl,Br) Tl2O3 TlBr TlCl Y2 O3 Y2Ti2O7 Y3Al5O12 Y3Ga5O12 Y3In2Ga3O12 Y3Sc2Al3O12 Y3Sc2Ga3O12 Zn4B6O13 ZnAl2O4 ZnGa2O4 β-ZnS β-ZnS (CVD) ZnSe ZnSiAs2 © 2003 by CRC Press LLC

Density 3

(g/cm ) 4.302 3.35 3.632 2.80 – 3.55 5.007 5.50 3.840 2.33 3.214 3.21 4.136 – 5.632 – 4.838 5.0 6.088 4.24 6.432 5.122 5.46 9.86 7.371 7.192 10.35 7.557 7.604 5.01 4.987 4.56 5.79 6.03 4.55 5.184 4.19 4.62 6.089 4.09 4.04 5.42 4.747

Hardness 2

(kg/mm ) – – – – – 1.0 (Mohs) – 2–2.5 (Mohs) – 1150 2880 2540 – – – – – – – 130 – 595 – 600 40 (500) 39 (500) – 12 (500) 13 (500) 875 1099 135 (200) 7.0 (Moh) – – 7.0 (Moh) – 7.5 (Moh) 7.0 (Moh) 178 178 137 –

Cleavage

Solubility (ºC)

plane

(g/100 g H2O)

None (100)-p – (100)-p (100)-p (100)-p – (111)-i – (111) – – – – None – None – – (111)-p – None – None None None – None None – None None None None None None – None None (110)-p – (110)-p –

– 98 (5) – 77 (0) 367 (18) 152 (17) – Insoluble Insoluble Insoluble Insoluble Insoluble – Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble 0.012 (20) Insoluble Insoluble – Insoluble – <0.32 (20) Insoluble 0.05 (25) 0.32 (20) 1.8 x 10–5 (20) Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble – Insoluble Insoluble 6.9 × 10–4 (18) – 0.001(25) Insoluble

Physical Properties of Isotropic Crystalline Materials—continued Cubic

Density 3

(g/cm )

material ZnTe ZrO2

6.34 5.64

Hardness 2

(kg/mm ) 82 990

Cleavage

Solubility (ºC)

plane

(g/100 g H2O)

(110)-p None

Insoluble Insoluble

1.2.2 Uniaxial Crystals Physical Properties of Uniaxial Crystalline Materials Uniaxial

Density

material

(g/cm )

Ag2HgI4 Ag3AsS3 Ag3AsSe3 Ag3SbS3 AgAsS2 AgGaS2 AgGaSe2 AgI Al2O3 AlAsO4 AlF3 AlGaO3 AlN AlPO4 AlTiTaO6 Ba2B5O9Cl Ba2MgAlF9 Ba2MgF6 Ba2MgGe2O7 Ba2MgSi2O7 Ba2Sc4O9 Ba2TiSi2O8 Ba2ZnF6 Ba2ZnGe2O7 Ba2ZnSi2O7 Ba2ZrSi2O8 Ba3(VO4)2 Ba3Sc4O9 Ba3SrNb2O9 Ba3SrTa2O9 Ba5(AsO4)3F

© 2003 by CRC Press LLC

3

6.091 5.49 6.521 5.82 – 4.702 5.70 5.7 3.98 3.359 3.192 4.78 3.261 2.566 6.26 3.762 4.157 5.08 4.79 4.265 5.372 4.43 5.514 – – – 5.176 5.318 – – 5.073

Hardness 2

(kg/mm ) – 2–2.5 (Mohs) – 2.5 (Mohs) – – – 1.5 (Mohs) 1370 (1000) – – – – 5 (Mohs) – – – – – – – 3.80 – – – – – – – – –

Cleavage

Solubility (ºC)

plane

(g/100 g H2O)

– (1011) – (1011)-i – (112)-p (112)-p (0001)-p None – – (0001)-p – None – – – – (001) (001) – (001)-i – (001) (001) – – – – – (1011)-i

– Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble 9.8 × 10–5 Insoluble – Insoluble Insoluble Insoluble Insoluble Insoluble – Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble – Insoluble Insoluble Insoluble Insoluble

Physical Properties of Uniaxial Crystalline Materials—continued Uniaxial material Ba5(AsO4)3Cl Ba5(PO4)3Cl Ba5(PO4)3F Ba5(VO4)3Cl Ba5(VO4)3F Ba6Sc6O15 BaAl12O19 BaAl2O4 β-BaB2O4 BaBe(PO4)F BaGe4O9 BaMg2(VO4)2 BaMoO4 BaSb2O6 BaSnB2O6 BaSnSi3O9 BaTiB2O6 BaTiO3 BaTiSi3O9 BaWO4 BaZnGeO4 BaZnSiO4 BaZrSi3O9 Be2GeO4 Be2SiO4 Be3Al2Si6O18 Be3Sc2Si6O18 BeMg3Al8O16 BeO(dreyerite) Bi2Ge3O9 BiVO4 (dreyerite) Ca2Al2GeO7 Ca2Al2SiO7 Ca2Al3O6F Ca2B5O9Cl Ca2BeSi2O7 Ca2Ga2GeO7 Ca2Ga2SiO7 Ca2MgSi2O7 Ca2Te2O5 Ca2ZnSi2O7 Ca3B2O6

© 2003 by CRC Press LLC

Density 3

(g/cm ) 5.086 4.802 4.81 4.728 4.766 5.115 4.075 4.080 3.85 4.31 – 4.226 4.946 – 4.848 4.03 4.211 6.02 3.64 6.383 5.12 4.706 3.85 3.893 2.96 2.66 2.77 3.60 3.01 6.20 6.25 3.421 3.04 2.95 2.639 – 4.14 4.07 2.94 5.05 3.39 3.09

Hardness 2

(kg/mm ) 4.5 (Mohs) – – – – – – – 4 (Mohs) – – – – – – 6 (Mohs) – 5 (Mohs) 6 (Mohs) – – – – – 1100 7.5–8 (Mohs) 6.5 (Mohs) 8.5 (Mohs) 1250 5.5 GPa – – 5.5 (Mohs) – – – – – 5.5 (Mohs) 4 (Mohs) 3.5 (Mohs) –

Cleavage

Solubility (ºC)

plane

(g/100 g H2O)

(0001)-i – (1011)-i (1011)-i (1011)-i – – – (0001)-i None None – – – – None – – None – – – None None (1010) None None – (1010)-i (0001)-p (110)-p (001) (001) (1011)-i – – (001) (001) (001)-i (001)-p (001) –

Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Slightly soluble Insoluble Insoluble – – – Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble 2 × 10–5 (20) Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble

Physical Properties of Uniaxial Crystalline Materials—continued Uniaxial material Ca3Ga2Ge4O14 Ca4La(PO4)3O Ca4Y6(SiO4)6O Ca5(AsO4)3Cl Ca5(AsO4)3F Ca5(PO4)3Cl Ca5(PO4)3F Ca5(VO4) 3F Ca5(VO4)3Cl CaAl12O19 CaAl2B2O7 CaCO3–calcite CaCO3–vaterite CaGd4(SiO4)3O CaGdAlO4 CaGe4O9 CaLa4(SiO4)3O CaLaAlO4 CaLaBO4 CaMg(CO3)2 CaMg3(CO3)4 CaMoO4 CaSnB2O6 CaWO4 CaY4(SiO4)3O CaYAlO4 CaZrBAl9O18 Cd5(AsO4)3Cl Cd5(PO4)3Cl Cd5(PO4)3F Cd5(VO4)3Cl CdCl2 CdCO3 CdI2 CdS CdSe CdSnB2O6 CdTiO3 Cs2AgF4 Cs2CdCl4 Cs2CdZnF6 Cs2KAl3F12 Cs2LiAl3F12 © 2003 by CRC Press LLC

Density 3

(g/cm ) 4.590 – – 3.635 3.5 2.90 3.20 – 3.174 3.78 2.44 2.715 2.68 6.030 5.97 – 5.112 – 4.136 2.86 3.71 4.25 4.22 6.062 4.47 – 4.01 5.917 5.600 5.784 5.375 4.047 5.02 5.670 4.82 5.81 5.479 5.881 5.02 3.697 5.342 3.76 3.949

Hardness

Cleavage

Solubility (ºC)

(kg/mm )

plane

(g/100 g H2O)

– – – – 4.5 (Mohs) 5 (Mohs) 540 – – – – 75–135 3 (Mohs) – 716 – – – – 3.5 (Mohs) 335 4.0 (Mohs) 5.5 (Mohs) 4.5–5 (Mohs) 702 – 8 (Mohs) – – – – – – – 122 (25) 44–90 – – – – – – –

None – None – (1011)-i (0001)-i (0001)-i (1011)-i (1011)-i – – (1011)-p – None (001) None None (001) – (1011)-p (1011)-p (112)(110) (0001)-p (101)-i None – None (1011)-i (1011)-i (1011)-i (1011)-i – (1011)-p – (1122)-i – – – – – – – –

2

Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble – 1.4 × 10–3 (25) Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble – Insoluble 6.4 × 10–4 (15) Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble 140 (25) Insoluble 86 (25) 1.3 × 10–4 (18) Insoluble Insoluble Insoluble – – – – –

Physical Properties of Uniaxial Crystalline Materials—continued Uniaxial material Cs2LiAlF6 Cs2LiGa3F12 Cs2LiGaF6 Cs2NaAl3F12 Cs2NaAlF6 Cs2NaGaF6 Cs2SnGe3O9 Cs2TiGe3O9 CsAl(SO4)2 CsH2AsO4 CsH2PO4 CsSc(MoO4)2 CsSc(WO4)2 α-GaN GaPO4 GaS GaSe GdAl3(BO3)4 GdBO3 GdGa3(BO3)4 GdInO3 GdVO4 GeO2 HfSiO4 Hg2Br2 Hg2Cl2 Hg2I2 HgI2 HgS In2O3 InBO3 K2BiNb5O15 K2CaZr(SiO3)4 K2GdNb5O15 K2LaNb5O15 K2MgCl4 K2MgF4 K2NaLi2Nb5O15 K2SnGe3O9 K2SnSi3O9 K2Sr(SO4)2 K2TiGe3O9 K2TiSi3O9 © 2003 by CRC Press LLC

Density 3

(g/cm ) 4.38 4.43 4.406 3.817 4.346 4.654 5.145 4.835 3.382 3.747 3.253 3.54 4.74 6.109 2.995 3.86 5.03 4.335 6.357 5.257 7.41 5.474 6.239 6.97 7.68 7.15 7.68 6.28 8.10 7.31 5.555 5.29 3.10 5.147 4.921 2.13 2.839 – 4.324 3.46 3.20 3.945 3.239

Hardness 2

(kg/mm ) – – – – – – – – – 1.5 (Mohs) 1.5 (Mohs) – – 750 4 (Mohs) – – 7 (Mohs) – – – – – – 1.5 (Mohs) 1.5 (Mohs) – – 2–2.5 (Mohs) – – – 5.5 (Mohs) – – – – – – – 2 (Mohs) – –

Cleavage

Solubility (ºC)

plane

(g/100 g H2O)

– – – – – – – – – (101)-p (101)-p (1011)-p (1011)-p — None – – (1011) – (1011) – (110)-p None (110)-i (110) (110)-i – – (1010)-p – (1011)-p – None – – – (001)-p (001)-p – – (0001)-p – –

– – – – – – Insoluble Insoluble – Very soluble Very soluble – – Insoluble Insoluble – – Insoluble Insoluble Insoluble – Insoluble Insoluble Insoluble Insoluble 3 x 10–4 Insoluble 0.0055 (35) 1 × 10–6 (18) – Insoluble – Insoluble Insoluble Insoluble – – Insoluble Insoluble Insoluble Slightly soluble Insoluble Insoluble

Physical Properties of Uniaxial Crystalline Materials—continued Uniaxial material K2YNb5O15 K2ZnF4 K3LiNb5O15 K3Sc(VO4)2 KAl(MoO4)2 KAl(SO4)2 KAlF4 KAlGeO4 KAlSi2O6 KAlSiO4 KD2PO4 KGaGeO4 KGaSiO4 KH2PO4 KIn(WO4)2 KLa(MoO4)2 KLiBeF4 KSc(MoO4)2 KSc(WO4)2 KYF4 KZnF3 La2GeBe2O7 La2MoO6 La2O2S La2O3 La2WO6 La3Ga5GeO14 La3Ga5SiO14 La3Nb0.5Ga5.5O14 La3Ta0.5Ga5.5O14 LaAlO3 LaBaGa3O7 LaBGeO5 LaBSiO5 LaCaAl3O7 LaCaGa3O7 LaCl3 LaF3 LaMgAl11O19 LaSrGa3O7 Li2B4O7 Li2CaGeO4 Li2CaSiO4 © 2003 by CRC Press LLC

Density 3

(g/cm ) 4.807 3.378 4.376 3.02 3.42 2.481 3.009 3.617 2.47 2.59 – 4.261 3.691 2.338 5.13 4.61 2.284 3.23 4.64 3.49 4.018 5.424 5.834 5.75 6.574 7.44 – 5.754 5.934 6.164 – 5.60 5.04 4.58 – – 3.85 5.94 4.285 5.64 2.44 3.63 2.935

Hardness 2

(kg/mm ) – – – – – – – – 5.5 (Mohs) 6 (Mohs) 1.5 (Mohs) – – 1.5 (Mohs) – – – – – 3 (Mohs) 2.5 (Mohs) – – 350–450 – – – – – – – – – – – – – 450 – – – – –

Cleavage

Solubility (ºC)

plane

(g/100 g H2O)

– (001)-p (001)-p – (1011)-p – – – None None (101)-p – – (101)-p (1011)-p – – (1011)-p (1011)-p None None (001) (100)-p – – – None None None None – (001) – – (001) (001) – (0001) – (001)-i None – –

Insoluble – Insoluble Slightly soluble – – – Insoluble Insoluble Insoluble Very soluble Insoluble Insoluble 33 (25) – – – – – Insoluble Insoluble Insoluble – – – – Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble – Insoluble Insoluble Insoluble Slightly soluble Insoluble Insoluble

Physical Properties of Uniaxial Crystalline Materials—continued Uniaxial material Li3InO3 LiAlGeO4 γ-LiAlO2 LiAlSiO4 LiCaAlF6 LiCaGaF6 LiCaInF6 LiCdBO3 LiCdInF6 LiGaGeO4 LiGaSiO4 LiGd(MoO4)2 LiGd(WO4)2 LiGdF4 LiIO3 LiLa(WO4)2 LiLuF4 LiMgAlF6 LiMgGaF6 LiMgInF6 LiNbO3 LiSrAlF6 LiSrGaF6 LiTaO3 LiYF4 LiZnInF6 LiZnNbO4 LuAl3(BO3)4 LuBO3 LuPO4 LuVO4 Mg2Al3(Si5Al)O18 MgCO3 MgF2 MgTiO3 MnF2 Na2Al2B2O7 Na2Ca2Si3O9 Na2CO3 Na2Mg(CO3)2 Na2TiOSiO4 Na3Li2Nb5O15 Na3YSi2O7 © 2003 by CRC Press LLC

Density 3

(g/cm ) 4.394 3.338 2.615 2.66 2.983 3.517 – 4.53 – 4.077 3.445 5.273 7.19 5.343 4.487 6.57 6.186 3.14 3.772 4.267 4.644 3.45 3.600 7.43 3.99 – 4.504 4.569 6.871 – 6.263 2.53 3.00 3.18 4.03 4.478 2.62 2.840 2.27 2.74 – – 3.063

Hardness

Cleavage

Solubility (ºC)

(kg/mm )

plane

(g/100 g H2O)

– – – 6.5 (Mohs) 3.5 (Mohs) – – – – – – – – 3.5 (Mohs) 3.5 (Mohs) – 3.5 (Mohs) – – – 5 (Mohs) 3.0 (Mohs) 2.5 (Mohs) 6 (Mohs) 260–325 – – 7 (Mohs) – – – 7 (Mohs) 4 (Mohs) 415 5.5 (Mohs) – – – – 3.5 (Mohs) 3.5 (Mohs) – –

– None – (1011) None None None – None None – – – None – – None – – – (1011)-p None None (1011) None None – (1011) – – (110)-p (1010)-i (1011)-p (010),(110) (1011)-i – – – – (0001)-i (001)-p (001)-p –

2

– Insoluble Insoluble Insoluble 0.005 Very slightly soluble Very slightly soluble – Very slightly soluble Insoluble Insoluble – – Insoluble 80 (18) – Insoluble Insoluble Insoluble – Insoluble 0.05 0.10 Insoluble Insoluble Very slightly soluble – Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble < 2 × 10–4 Insoluble 0.66 (40) – Insoluble Very soluble – Insoluble Insoluble Insoluble

Physical Properties of Uniaxial Crystalline Materials—continued Uniaxial material Na5Al3F14 Na5GdGe4O12 Na5GdSi4O12 Na5InGe4O12 Na5InSi4O12 Na5LuGe4O12 Na5LuSi4O12 Na5ScGe4O12 Na5ScSi4O12 Na5Y4(SiO4)4F Na5YGe4O12 Na5YSi4O12 NaAlSiO4 NaBaPO4 NaGd(WO4)2 NaGdO2 NaInO2 NaLa(MoO4)2 NaLaO2 NaNO3 NaSbBe4O7 NaScO2 NaYF4 NbCaAlO4 NdxY1-xAl3 (BO3)4 NH4Al(SeO4)2 NH4Al(SO4)2 NH4Ga(SeO4)2 NH4Ga(SO4)2 NH4H2PO4 Pb2InNbO6 Pb2ZnSi2O7 Pb3Ca2(AsO4)3Cl Pb3Ge2O7 Pb5(AsO4) 3F Pb5(AsO4)3Cl Pb5(PO4)3Cl Pb5(PO4)3F Pb5(VO4)3Cl Pb5(VO4)3F PbAl12O19 PbI2 PbMoO4 © 2003 by CRC Press LLC

Density 3

(g/cm ) 3.00 3.861 3.213 3.831 3.134 4.051 3.348 3.476 2.743 3.938 3.548 2.863 2.63 4.270 7.184 6.162 5.711 4.773 4.949 2.261 4.28 3.515 3.85 5.56 – 3.13 2.472 3.476 2.854 1.803 8.567 – 5.82 – – 7.28 7.04 6.868 6.88 7.155 4.731 6.16 6.92

Hardness 2

(kg/mm ) 3.5 (Mohs) – – – – – – – – – – – – 1.5 (Mohs) – – – – – 19.2(200) 8 (Mohs) – – – 8 (Mohs) – – – – 1 (Mohs) . – 4.5 (Mohs) – – 3.5 (Mohs) 3.5 (Mohs) 3 (Mohs) – – – 2.5–3 (Mohs)

Cleavage

Solubility (ºC)

plane

(g/100 g H2O)

(001)-p – – – – – – – – – – – – – – – – – – (1010)-p (0001)-i – – – – – – – (101)-p . (001) (1011)-i – (1011)-i (1011)-i (1011)-i (1011)-i None (1011)-i – – (011)

– Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble – Insoluble Insoluble Insoluble – – Slightly soluble Slightly soluble – Soluble 92 (25) Insoluble Slightly soluble Insoluble Insoluble – – – – – 36.8 (20) Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble 0.076 (25) Insoluble

Physical Properties of Uniaxial Crystalline Materials—continued Uniaxial material PbO (litharge) PbTiO3 PbWO4 Rb2LaNb5O15 Rb2LiAlF6 Rb2LiGaF6 Rb2MgCl4 Rb2MgF4 Rb2SnGe3O9 Rb2SnSi3O9 Rb2TiGe3O9 Rb2TiSi3O9 Rb2ZnF4 Rb3Gd(VO4)2 Rb3Lu(VO4)2 Rb3NaBeF8 Rb3Sc(VO4)2 Rb3Y(VO4)2 RbAl(SeO4)2 RbAl(SO4)2 RbAlF4 RbAlSi2O6 RbCdF3 RbGa(SeO4)2 RbGa(SO4)2 RbH2AsO4 RbH2PO4 RbIn(MoO4)2 RbIn(WO4)2 RbSc(MoO4)2 RbSc(WO4)2 ScBO3 ScPO4 ScVO4 Se SeO2 α-SiC Si3N4 SiO2 SnO2 Sr2Al2SiO7 Sr2B5O9Cl Sr2Ga2SiO7 © 2003 by CRC Press LLC

Density 3

(g/cm ) 9.36 – 8.23 5.35 3.878 4.258 2.791 3.972 4.850 4.103 4.425 3.626 4.637 4.50 4.56 3.376 3.83 3.76 3.725 3.126 3.792 2.893 4.836 4.088 3.504 – – 3.88 5.19 3.41 4.68 3.45 – – 4.81 4.16 3.219 3.24 2.65 6.95 – 3.250 –

Hardness 2

(kg/mm ) – – 2.5–3 (Mohs) – – – – – – – – – – – – – – – – – – – – – – 1.5 (Mohs) 1.5 (Mohs) – – – – 5 (Moh) – – 2.6 (Moh) – 3720 3400 741(500) 6.5 (Mohs) – – –

Cleavage

Solubility (ºC)

plane

(g/100 g H2O)

(110)-p – (001)-i – – – – (001)-p – – – – (001)-p – – – – – – – – – – – – (101)-p (101)-p (1011)-p (1011)-p (1011)-p (1011)-p (1011)-p – – (0112)-i – None None None (100)-i (001) – (001)

1.7 × 10–3 (20) Insoluble Insoluble Insoluble – – – – Insoluble Insoluble Insoluble Insoluble – Slightly soluble Slightly soluble – Slightly soluble Slightly soluble – – – Insoluble – – – Very soluble Very soluble – – – – Insoluble Insoluble – Insoluble – Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble

Physical Properties of Uniaxial Crystalline Materials—continued Uniaxial material Sr2MgGe2O7 Sr2MgSi2O7 Sr2ZnGe2O7 Sr2ZnSi2O7 Sr3(VO4)2 Sr3B2O6 Sr3Ga2Ge4O14 Sr3Ti2O7 Sr5(AsO4) 3F Sr5(AsO4)3Cl Sr5(PO4)3Cl Sr5(PO4)3F Sr5(VO4) 3F Sr5(VO4)3Cl Sr5Nb4O15 Sr5Ta4O15 SrAl12O19 SrAlF5 (Sr0.6Ba0.4)Nb2O6 SrGaF5 SrGdAlO4 SrGdGa3O7 SrLa4(SiO4)3O SrLaAlO4 SrLaBO4 SrLaGaO4 SrMg2(VO4)2 SrMoO4 SrSnB2O6 SrTiB2O6 SrWO4 SrY4(SiO4)3O SrZrB2O6 Ta2O5 TaBO4 Te ThSiO4 TiO2 Tl2SnGe3O9 Tl2TiGe3O9 Tl3AsS3 Tl3AsSe3 TlAl(SeO4)2 © 2003 by CRC Press LLC

Density 3

(g/cm ) 4.266 – – 4.027 4.464 4.257 5.087 5.04 4.538 4.525 4.095 4.14 4.13 4.122 5.46 7.321 3.985 3.86 5.4 4.40 6.602 5.64 – 5.826 4.802 5.372 3.827 4.701 – – 6.354 – – 8.2 8.02 6.25 6.7 4.26 6.617 6.256 7.18 7.834 4.894

Hardness

Cleavage

Solubility (ºC)

(kg/mm )

plane

(g/100 g H2O)

– – – – – – – – – – – 380 – – – – – – 5.5 (Mohs) – – – – – – – – – – – – – – – 7.5 (Mohs) 18 4.5 (Mohs) 879 (500) – – – – –

(001) (001) (001) (001) – – None – (1011)-i – – (0001)-i (1011)-i (1011)-i – – – – – – (001)-p – None (001)-p – (001)-p – – – – – None – – (110)(010) None None (110)-i – – – – –

2

Insoluble Insoluble Insoluble Insoluble – Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble – Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble – – Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble 0.001 Insoluble Insoluble Insoluble Insoluble –

Physical Properties of Uniaxial Crystalline Materials—continued Uniaxial material TlAl(SO4)2 TlAlF4 TlGa(SeO4)2 TlGa(SO4)2 Y2BeAl2O7 Y2GeBe2O7 Y2SiBe2O7 YAl3(BO3)4 YAsO4 YBO3 YCaAl3O7 YGa3(BO3)4 YInO3 YPO4 YVO4 Zn2GeO4 Zn2SiO4 ZnCO3 ZnCl2 ZnF2 ZnGeP2 ZnO ZnSb2O6 ZnSiP2 ZnS (wurtzite) ZrO2 ZrSiO4

© 2003 by CRC Press LLC

Density 3

(g/cm ) 4.337 6.131 5.163 4.719 – 4.810 4.423 3.724 4.85 – – 4.684 6.032 4.31 4.23 4.781 4.25 4.43 2.907 4.95 – 5.606 6.64 – 3.98 5.861 4.56

Hardness 2

(kg/mm ) – – – – – – – 1890 4.5 (Mohs) – – – – 4.5 (Mohs) 480 – 5.5 (Mohs) 4 (Mohs) – – – 4 (Mohs) 6.5 (Mohs) – 3.5 (Mohs) – 1000

Cleavage

Solubility (ºC)

plane

(g/100 g H2O)

– – – – (001) (001) (001) (1011) – – (001) (1011) – (110)-p (110)-p – (0001)-i (1011)-p – – – (1010)-p – – (1120)-i – (110)-i

– – – – Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble – Insoluble Insoluble Insoluble Insoluble Insoluble 408 (25) 1.62 (20) Insoluble 1.6 × 10–4 (20) – Insoluble Insoluble Insoluble Insoluble

1.2.3 Biaxial Crystals Physical Properties of Biaxial Crystalline Materials Biaxial material Al2(MoO4)3 Al2(WO4)3 Al2Ge2O7 Al2SiO4F2 Al2SiO5-andalusite Al2SiO5-kyanite Al2SiO5-sillimanite Al4B2O9 Al6Ge2O13 Al6Si2O13 AlHfTaO6 AlNb11O29 AlNbO4 AlTaO4 As2S3 AsS AsSbS3 Ba2CaMgAl2F14 Ba2CdMgAl2F14 Ba2LiNb5O15 Ba2NaNb5O15 Ba2Zn3F10 Ba2ZnAlF9 Ba2ZnGaF9 Ba3Al2F12 Ba3TiAl10O20 BaAl2B2O7 BaAl2Ge2O8 BaAl2Si2O8 BaBe2Si2O7 BaCa2Mg(SiO4)2 BaCa2Si3O9 BaCdAlF7 BaCdGaF7 BaCO3 BaGaF5 BaGe2O5 BaGeAl6O12 BaGeGa6O12

© 2003 by CRC Press LLC

Density 3

(g/cm ) 3.495 5.079 4.06 3.57 3.13 3.6 3.25 2.904 3.662 3.19 8.33 4.46 4.673 6.86 3.49 3.56 3.92 4.204 4.735 – 5.41 5.26 4.909 5.169 4.37 4.13 3.559 – 3.96 4.00 3.974 3.73 5.04 5.406 4.31 5.104 5.85 4.031 5.201

Hardness 2

(kg/mm ) – – – 8 (Mohs) 6.5 (Mohs) 4–7.5 (Mohs) 6.5 (Mohs) – – 1750 – – – – 1.5 (Mohs) 1.5 (Mohs) 1.5 (Mohs) 3.5 (Mohs) – – – – – – – – – – 6–6.5 (Mohs) 7 (Mohs) – 3.5 (Mohs) – – 3.5 (Mohs) – – – –

Cleavage

Solubility (ºC)

plane

(g/100 g H2O)

– (010)-p – (001)-p (110) (100)-p (010)-p – – (010)-i – – – – (010)-p (010)-i (001)-p (001)-p – – – – – – – – – – (001)-p (001)(100)-p – (011)(010)-p – – (010)-i – – – –

Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble – Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble – Insoluble Insoluble – – – – – – Insoluble Insoluble Insoluble Insoluble Insoluble – – Very slightly soluble – Insoluble – –

Physical Properties of Biaxial Crystalline Materials—continued Biaxial material BaGeO3 BaMgF4 BaNb2O6 BaSO4 BaTa2O6 BaTi4O9 BaTiAl6O12 BaTiGa6O12 BaY2F8 BaY2O4 BaZnF4 β-BaSi2O5 β-Ca2SiO4 Be2BO3F BeAl2O4 BeAl6O10 β-Ga2O3 Bi2Al4O9 Bi2GeO5 Bi2Mo2O9 Bi2Mo3O12 Bi2O3 Bi2SiO5 Bi2WO6 Bi3TiNbO9 Bi4B2O9 Bi4Ti3O12 γ-Bi2MoO6 BiB3O6 BiNbO4 BiSbO4 BiTaO4 BiVO4-clinobisvanite BiVO4-pucherite Ca(IO3)2 Ca2(AsO4)Cl Ca2(PO4)Cl Ca2(PO4)F Ca2(VO4)Cl Ca2Al2O5 Ca2B6O11 Ca2BO3Cl

© 2003 by CRC Press LLC

Density 3

(g/cm ) 5.072 4.538 – 4.50 7.824 4.52 3.791 4.981 5.047 5.806 5.178 3.77 3.31 2.37 3.75 3.75 5.95 6.229 – 6.518 6.196 9.37 – 7.35 – 8.185 8.045 7.068 5.03 – 8.48 8.958 6.95 6.63 4.48 – – – 3.075 3.73 2.85 2.766

Hardness 2

(kg/mm ) – – – 3 (Mohs) – – – – 250–350 – – 5 (Mohs) 6 (Mohs) 7.5 (Mohs) 1600–2300 (V) – – – – – – – – 3.5 (Mohs) – – 313 – 5–5.5 (Mohs) – – – – 4 (Mohs) 3.5 (Mohs) – – – – – – –

Cleavage

Solubility (ºC)

plane

(g/100 g H2O)

– – – (001)-p – – – – – – – (001) (100)-i (010)-p None – (010)-p – – – (100)-p – – – – – – – – – – – – (001)-p (011)-i (010)-p (010)-p (010)-p (010)-p – – –

Insoluble – Insoluble Insoluble Insoluble Insoluble – – – – – Insoluble Insoluble Insoluble Insoluble – Insoluble – Insoluble Insoluble Insoluble Very slightly soluble Insoluble – Insoluble – Insoluble – Insoluble Insoluble Insoluble Insoluble – – – – – Insoluble – – – –

Physical Properties of Biaxial Crystalline Materials—continued Biaxial

Density

material

(g/cm )

Ca2Nb2O7 Ca2Sb2O7 Ca2V2O7 Ca3(VO4)2 Ca3Al2O6 Ca3Ga4O9 Ca3MgSi2O8 Ca3Si2O7 Ca5Al6O14 Ca5Ga6O14 CaAl2F8 CaAl2O4 CaAl2Si2O8 CaAl4O7 CaAlB3O7 CaAlBO4 CaB2O4 CaB2Si2O8 CaB3O5F CaB4O7 CaBa(CO3)2 CaBe(PO4)F CaBe2(PO4)2 CaCO3-aragonite CaGa2O4 CaGe2O5 CaIn2O4 CaMg(PO4)F CaMgAsO4F CaMgB2O5 CaMgGe2O6 CaMgSi2O6 CaMgSiO4 CaNb2O6 CaSc2O4 CaSiO3 CaSnO3 CaSnSiO5 CaSO4 CaTa2O6 CaTiO3 CaTiSiO5 CaV2O6 © 2003 by CRC Press LLC

3

– 5.204 3.36 3.16 3.017 4.208 3.31 2.96 3.03 4.18 2.89 2.942 2.76 2.894 3.44 2.60 2.702 3.00 2.729 2.69 3.67 2.95 2.89 2.93 4.333 4.868 6.15 – 3.77 3.02 4.265 3.26 3.06 4.78 3.897 2.9 5.759 4.56 2.96 – 4.04 3.53 3.59

Hardness 2

(kg/mm ) – – 5.5 (Mohs) – – – 6 (Mohs) 5.5 (Mohs) – 5 (Mohs) 4.5 (Mohs) – 6–6.5 (Mohs) 8.5 (Mohs) 7.5 (Mohs) – – 7 (Mohs) – – 4 (Mohs) 5 (Mohs) 6 (Mohs) 3.5–4 (Mohs) – – – – 5 (Mohs) 4.5 (Mohs) – 6.5 (Mohs) 5.5 (Mohs) 5.5 (Mohs) – 5 (Mohs) – 4 (Mohs) 3.5 (Mohs) – – 5.5 (Mohs) –

Cleavage

Solubility (ºC)

plane

(g/100 g H2O)

– – (110)-p (110)(001)-p – – None – (001)-p – (111)-p – (001)-p – None – – None – – (110)-i (110)-i None (010)-i – – – – (101)-i (010)-p – (110)-i (010)-i None – (100)-p – – (010)(100) – – (110)-i (100)(001)-p

Insoluble Insoluble – – – – Insoluble Insoluble – – Insoluble – Insoluble – Insoluble – – Insoluble Insoluble – Very slightly soluble Insoluble Insoluble Very slightly soluble – Insoluble – Insoluble Very slightly soluble Very slightly soluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Very slightly soluble Insoluble Insoluble Insoluble –

Section 1: Crystalline Materials Physical Properties of Biaxial Crystalline Materials—continued Biaxial

Density

material

(g/cm )

CaYBO4 CaZnGe2O6 CaZnSiO4 CaZrSi2O7 CaZrTi2O7 Cd2B2O5 Cd2GeO4 CdB4O7 CdWO4 Cs2BeF4 Cs2CdBr4 Cs2HgI4 Cs2MgCl4 Cs2ZnBr4 Cs2ZnCl4 CsB3O5 CsGd(MoO4)2 CsLiBeF4 CsLiSO4 CsNbB2O6 CsLiSO4 CsNbB2O6 CsTiOAsO4 CsZnAlF6 Ga2(WO4)3 Ga2GeO5 GaNbO4 Gd(BO2)3 Gd2(MoO4)3 Gd2(WO4)3 Gd2GeO5 Gd2MoO6 Gd2O2SO4 Gd2O3 Gd2SiO5 Gd2Sr3(BO3)4 Gd2WO6 Gd3NbO7 Gd3TaO7 Gd4Al2O9 α-Ga4GeO8 GdAlGe2O7 GdAlO3 © 2003 by CRC Press LLC

3

3.783 4.807 4.25 3.63 4.407 5.24 6.313 3.51 8.005 4.128 4.069 4.357 2.952 4.034 3.357 3.39 – 3.411 3.455 – 3.455 – 4.511 4.04 – 4.97 5.01 4.84 4.65 7.475 – 7.068 6.483 8.33 6.77 5.266 8.339 7.459 8.414 6.467 5.65 – 7.437

Hardness 2

(kg/mm ) – – 5 (Mohs) – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – 6 (Mohs) – – – – – – – –

Cleavage

Solubility (ºC)

plane

(g/100 g H2O)

– – (010)(100) – – – – – – – – – – – – – (100)-p – – (001)-p – (001)-p None – (010)-p – – – – – – – – – (100)-p – – – – – – – –

– Insoluble Insoluble Insoluble Insoluble – Insoluble – – – – – – – – Soluble – – Very soluble Insoluble Very soluble Insoluble Insoluble – – Insoluble Insoluble – – – Insoluble – – – Insoluble – – Insoluble Insoluble – Insoluble Insoluble Insoluble

53

54

Handbook of Optical Materials Physical Properties of Biaxial Crystalline Materials—continued Biaxial

Density

material

(g/cm )

GdGaGe2O7 GdMgB5O10 GdNbO4 GdP5O14 GdPO4 GdScO3 HfO2 HgCl2 HgO HIO3 In2(MoO4)3 In2(WO4)3 InCaBO4 InGaO3 InNbO4 InPO4 InTaO4 InVO4 K2CaSiO4 K3Gd(VO4)2 K3La(PO4)2 K3Lu(VO4)2 K3Y(VO4)2 KAlSi3O8 KAl3Si3O10(OH)2 KBF4 KB5O8•4H2O KGaSi3O8 KIn(MoO4)2 KLaP4O12 KLu(WO4)2 KNbB2O6 KNbO3 KNO3 KPb2Cl5 KTaB2O6 KTaO3 KTi3NbO9 KTiNbO5 KTiOAsO4 KTiOPO4 KVO3 KY(MoO4)2 © 2003 by CRC Press LLC

3

6.08 4.309 – 3.55 5.986 6.642 10.11 5.490 11.14 4.637 3.92 5.619 4.536 6.447 6.27 4.830 8.296 4.50 2.865 3.15 5.293 3.15 3.15 2.57 2.78 2.51 1.740 2.887 4.17 – 7.759 3.151 4.617 2.11 4.78 4.262 5.996 ? 3.88 3.82 3.454 3.024 2.879 5.40

Hardness 2

(kg/mm ) – – – – 470 – – – 1.5–2.0 (Mohs) – – – – – – – – – – – – – – 6 (Mohs) – – 2.5 (Mohs) – – – – – – 2 (Mohs) 2.5 (Mohs) – – – – – 702 – –

Cleavage

Solubility (ºC)

plane

(g/100 g H2O)

– – – – – – – – (010)-p – – (010)-p – – (010)-p – (010)-p – – – – – – (001)-p – – (010)-p – – – – (001)-p – (011)-p – (001)-p – – – None None (010)-p –

Insoluble – Insoluble Insoluble Insoluble Insoluble Insoluble – – – – – – – Insoluble Insoluble Insoluble Insoluble Insoluble Slightly soluble Insoluble Slightly soluble Slightly soluble Insoluble Insoluble Slightly soluble – Insoluble – Insoluble – Insoluble Insoluble Soluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble – –

Section 1: Crystalline Materials Physical Properties of Biaxial Crystalline Materials—continued Biaxial

Density

material

(g/cm )

KY(WO4)2 LaB3O6 La2(WO4)3 La2Ba3(BO3)4 La2Be2O5 La2Ca3(BO3)4 La2O2SO4 La2SiO5 La2Sr3(BO3)4 La2Ti2O7 La2TiO5 La3NbO7 La3SbO7 La3TaO7 LaAlGe2O7 LaBMoO6 LaBO3 LaBWO6 LaGaGe2O7 LaGaO3 LaInO3 LaMgB5O10 LaNb5O15 LaNbO4 LaP5O14 LaPO4 LaSbO4 LaScO3 LaVO4 LaY(WO4)3 Li2BeSiO4 Li2CO3 Li2GeO3 Li2MgGeO4 Li2SiO3 Li3La2(BO3)3 Li3PO4 Li3VO4 Li3Y2(BO3)3 Li5AlO4 Li6Al2(BO3)4 Li6Lu(BO3)3 Li6Y(BO3)3 © 2003 by CRC Press LLC

3

6.56 4.216 6.626 5.353 6.061 4.157 5.467 – 4.783 5.782 5.5 6.25 6.558 7.139 5.18 5.293 5.304 6.185 – 7.21 – 3.923 6.264 5.914 3.290 5.067 6.30 5.79 – 6.53 2.69 2.097 3.489 3.31 2.527 4.50 2.48 2.645 3.50 2.251 2.58 3.538 2.76

Hardness 2

(kg/mm ) – – – – 900(100) – – – – 648 – – – – – – – – – – – – – – – 5.5 (Mohs) – – – – 7 (Mohs) – – – – – 4 (Mohs) – – – – – –

Cleavage

Solubility (ºC)

plane

(g/100 g H2O)

– (010)-p – – (010)-i – – – – (010)-p – – – – – – – – – – – – – – – (100)-i – – – – (010)-i – – – – – (010)-p – – – – – –

– – – – Insoluble – – Insoluble – Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble – – – Insoluble Insoluble – – Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble – Insoluble Slightly soluble Insoluble Insoluble Insoluble – Insoluble Insoluble – – – – –

55

56

Handbook of Optical Materials Physical Properties of Biaxial Crystalline Materials—continued Biaxial

Density

material

(g/cm )

LiAl(MoO4)2 LiAl(PO4)F LiAlGe2O6 LiAlSi2O6 LiAlSi4O10 LiBaAlF6 LiBaGaF6 LiBO2 LiB3O5 LiGa(WO4)2 LiGaGe2O6 LiGaO2 LiGaSi2O6 LiGdO2 LiGdP4O12 LiIn(MoO4)2 LiIn(WO4)2 LiInGe2O6 LiInSi2O6 LiInSiO4 LiLa(MoO4)2 LiLaO2 LiLaP4O12 LiLu(WO4)2 LiLuGeO4 LiLuP4O12 LiLuSiO4 LiSc(WO4)2 LiScGe2O6 LiScGeO4 LiScSi2O6 LiScSiO4 LiVO3 LiY(WO4)2 LiYGeO4 LiYO2 LiYSiO4 LiZnBO3 Lu2MoO6 Lu2O2SO4 Lu2SiO5 Lu2WO6 LuCaBO4 © 2003 by CRC Press LLC

3

3.95 3.10 4.354 3.1 2.40 4.114 4.526 2.883 2.474 7.44 4.783 4.175 – 6.246 – 4.149 7.47 5.041 4.071 4.160 4.551 6.18 – 8.02 5.98 – 5.46 6.716 4.157 3.928 3.090 3.183 2.971 6.83 4.365 6.258 3.746 3.64 8.167 7.854 5.892 9.718 6.036

Hardness 2

(kg/mm ) – 5.5 (Mohs) – 7 (Mohs) 6.5 (Mohs) – – – 7 (Mohs) – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – 6.5 (Mohs) – –

Cleavage

Solubility (ºC)

plane

(g/100 g H2O)

– (100)(110)-p – (010)-p (001)-p – – – None – – – – – – – – – – – – – – – – – – – – – – – (100)-p – – – – – – – None – –

– Insoluble Insoluble Insoluble Insoluble – – – Insoluble – Insoluble Insoluble Insoluble – Insoluble – – Insoluble Insoluble Insoluble – Soluble Insoluble – Insoluble Insoluble Insoluble – Insoluble Insoluble Insoluble Insoluble Insoluble – Insoluble – Insoluble – – – Insoluble – –

Physical Properties of Biaxial Crystalline Materials—continued Biaxial

Density

material

(g/cm )

LuP5O14 LuTaO4 Mg2(PO4)F Mg2B2O5 Mg2BO3F Mg2GeO4 Mg2SiO4 Mg3(PO4)2 Mg3B2O6 Mg3B7O13Cl Mg3TiB2O8 Mg4Al8Si2O20 Mg4Ga8Ge2O20 Mg5(BO3)3F MgAl3BSiO9 MgAlBO4 MgGaBO4 MgGeO3 MgMoO4 MgSiO3 MgTi(SO4)3 MgTi2O5 MgWO4 Na(Sr,Ba)PO4 Na2BaTi2Si4O14 Na2BeF4 Na2BeSi2O6 Na2Ca(PO4)F Na2CaMg(PO4)2 Na2GeO3 Na2KTiNbSi4O14 Na2LiAlF6 Na2LiYSi6O15 Na2MgAlF7 Na2MgGaF7 Na2MgInF7 Na2MgScF7 Na2MgSiO4 Na2Si2O5 Na2SiO3 Na2Ti2Si2O9 Na2ZnCl4 Na3AlF6 © 2003 by CRC Press LLC

3

3.72 9.761 3.15 2.910 2.784 4.028 3.22 2.76 3.04 2.95 3.35 3.489 – 3.112 2.98 3.45 4.285 4.282 3.809 3.21 2.82 3.649 6.893 2.919 3.43 2.482 2.70 2.88 3.10 3.319 2.968 2.98 2.76 2.97 3.359 3.627 2.853 2.75 – 2.64 3.44 2.382 2.90

Hardness 2

(kg/mm ) – – 5 (Mohs) 5.5 (Mohs) – – 7 (Mohs) – 6.5 (Mohs) 7 (Mohs) 3.5 (Mohs) 7.5 (Mohs) – – 7.5 (Mohs) 7 (Mohs) – – – 5–6 (Mohs) – – – – 6 (Mohs) – 6 (Mohs) – 4.5 (Mohs) – 6.5 (Mohs) – – 3.5 (Mohs) – – – – – – 6 (Mohs) – 2.5 (Mohs)

Cleavage

Solubility (ºC)

plane

(g/100 g H2O)

– – (100)-i (hk0)-p – – (010)-i (100)(010) (110)-p None (100)-p (010)(001)-i – – (100)-p None – – – (110)-i – – – – (100)-i – (100)-i – – – – (001)-p – (110)-i – – – – (100)-p – (010)-i – (001)-p

Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Slightly soluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble – Insoluble – Insoluble – Insoluble Insoluble – Insoluble Insoluble Insoluble Insoluble Insoluble Slightly soluble Insoluble Slightly soluble – – – Insoluble Slightly soluble Insoluble Insoluble – Slightly soluble

Physical Properties of Biaxial Crystalline Materials—continued Biaxial

Density

material

(g/cm )

Na3GdSi3O9 Na3La(BO3)2 Na3La2(BO3)3 Na3ScSi2O7 Na3YSi3O9 NaAl(AsO4)F NaAl(PO4)F NaAlGeO4 NaAlSi3O8 NaBePO4 NaBF4 NaCaPO4 NaCdPO4 NaGaGe2O6 NaGaGeO4 NaGaSiO4 NaGdGeO4 NaGdP2O7 NaGdP4O12 NaGdSiO4 NaIn(MoO4)2 NaLaP2O7 NaLaP4O12 NaLiV2O6 NaLuGeO4 NaLuP2O7 NaLuSiO4 NaMgF3 NaNbO3 NaScGeO4 NaScSi2O6 NaSr3Al3F16 NaTaO3 NaVO3 NaYGeO4 NaYO2 NaYSiO4 NaZnF3 NH4B5O8•4H2O Pb2KNb5O15 Pb2NaNb5O15 Pb2V2O7 Pb3(PO4)2 © 2003 by CRC Press LLC

3

3.439 3.49 4.19 2.861 2.962 3.64 3.126 3.337 2.63 2.81 2.53 3.117 4.10 4.864 4.028 3.336 5.366 4.287 3.45 – 4.02 3.803 3.4 2.962 6.025 4.114 5.435 3.06 4.57 3.39 3.22 3.51 7.123 2.91 4.302 4.382 4.083 4.105 1.57 6.143 – 6.46 7.456

Cleavage

Solubility (ºC)

(kg/mm )

Hardness

plane

(g/100 g H2O)

– – – – – 5 (Mohs) 4.5 (Mohs) – 6–6.5 (Mohs) 5.5 (Mohs) 3 (Mohs) 3 (Mohs) – – – – – – – – – – – – – – – – 5.5 (Mohs) – – 4 (Mohs) – – – – – – 2.5 (Mohs) – – 3 (Mohs) –

– – – – – (110)-i (111)-i (010)-p (001)-p (010)-p (100)(010) – – – (010)-p (010)-p – – – – – – – – – – – – – – – None – (110)-p – – – – (100)-p (001) – – –

2

Insoluble – – Insoluble Insoluble Slightly soluble Insoluble Insoluble Insoluble Insoluble Soluble – – Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble – Insoluble Insoluble – Insoluble Insoluble Insoluble – Insoluble Insoluble Insoluble Slightly soluble Insoluble 0.8 Insoluble Slightly soluble Insoluble – – Insoluble Insoluble –

Physical Properties of Biaxial Crystalline Materials—continued Biaxial

Density

material

(g/cm )

Pb3(VO4)2 Pb3GeO5 Pb3MgNb2O9 Pb3ZnNb2O9 PbBi2Nb2O9 PbBr2 PbCl2 PbCO3 PbGeO3 PbO (massicot) PbNb2O6 PbSeO3 PbSeO4 PbSiO3 PbSO4 PbTa2O6 PbTiP2O8 PbZnSiO4 RbAlSiO4 RbB5O8•4H2O Rb2BeF4 RbBi(MoO4)2 RbGd2Br7 RbLa(WO4)2 RbNbB2O6 RbTaB2O6 RbTiOAsO4 RbTiOPO4 Sb2O3 SbNbO4 SbTaO4 Sc(PO3)3 Sc2(MoO4)3 Sc2(WO4)3 Sc2Si2O7 (Sc,Y)2Si2O7 Sc2SiO5 Sc2TiO5 ScAlBeO4 ScCaBO4 ScGaO3 ScGe2O5 ScMgBO4 © 2003 by CRC Press LLC

3

7.44 – – – 6.684 6.693 5.85 6.55 6.968 9.642 – 7.12 7.08 6.32 6.32 7.65 – 6.13 – 1.946 3.749 5.52 4.79 6.88 3.584 4.65 4.018 3.647 5.83 5.68 7.53 2.736 3.102 4.566 – 3.39 3.49 3.611 – 3.319 5.10 5.286 3.287

Hardness 2

(kg/mm ) – – – – – – 31 3 (Mohs) – – 3.5 (Mohs) 3.5 (Mohs) 4.5 (Mohs) 3.5 (Mohs) – – 3 (Mohs) – 2.5 (Mohs) – – – – – – – – 2.5–3 (Mohs) 5.5 (Mohs) 5–5.5 (Mohs) – – – – 6.5 (Mohs) – – – – – – –

Cleavage

Solubility (ºC)

plane

(g/100 g H2O)

– – – – – (001)-p (001)-p (110)(021)-i – (100)-p – (001)-p None (010)-p (001)(210) – – (120)-i – – – – – – (001)-p (001)-p None None (110)-p (010)-i (010)-i – – (010)-p – (110)-i – – None – (010)-p – –

– Insoluble Insoluble Insoluble Insoluble – 0.99 (20) Very slightly soluble Insoluble – Insoluble – – Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble – – – Slightly soluble – Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble – Slightly soluble Insoluble Insoluble Insoluble Insoluble Insoluble – Insoluble Insoluble –

Physical Properties of Biaxial Crystalline Materials—continued Biaxial

Density

material

(g/cm )

ScNbO4 ScTaO4 Sr2(AsO4)Cl Sr2(VO4)Br Sr2(VO4)Cl Sr2KNb5O15 Sr2KTa5O15 Sr2NaNb5O15 Sr2Nb2O7 Sr2Ta2O7 SrAl2Ge2O8 SrAl2O4 SrAl2Si2O8 SrAl4O7 SrB2O4 SrCO3 SrGa2O4 SrGa2Si2O8 SrGd2O4 SrIn2O4 SrLu2O4 SrNb2O6 SrSc2O4 SrSiO3 SrSO4 SrTa2O6 SrY2O4 SrZnGe2O6 TeO2 TlNbB2O6 TlTaB2O6 V2 O5 Y2(MoO4)3 Y2(WO4)3 Y2BeO4 Y2GdSbO7 Y2GdTaO7 Y2GeO5 Y2MgBe2Si2O10 Y2MoO6 Y2O2SO4 Y2Si2O7 Y2SiO5 © 2003 by CRC Press LLC

3

4.843 6.90 – 4.342 3.883 – – 5.19 5.204 7.074 3.714 3.554 3.13 3.266 3.350 3.79 4.85 3.797 7.287 6.854 8.496 – – 3.66 3.97 – 5.344 – 6.00 – – 3.37 3.3 – 4.582 6.443 7.102 – 4.152 5.366 4.813 4.3 4.543

Hardness 2

(kg/mm ) – – – – – – – – – – – – – – – 3.5 (Mohs) – – – – – – – – 3 (Mohs) – – – 2 (Mohs) – – – – – – – – – 6.5 (Mohs) – – 6 (Mohs) 6.5 (Mohs)

Cleavage

Solubility (ºC)

plane

(g/100 g H2O)

(010)-p (010)-p (010)-p – (010)-p – – – – – – – – – – (010)-i – – – – – – – – (001)-p – – – (010)-p (001)-p (001)-p – – (010)-p – – – – None – – None None

Insoluble Insoluble – – – Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble – Insoluble – – Very slightly soluble – Insoluble Insoluble – Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble – Insoluble Very slightly soluble Insoluble Insoluble – Very soluble Very soluble Insoluble Insoluble Insoluble Insoluble Insoluble – – Insoluble Insoluble

Physical Properties of Biaxial Crystalline Materials—continued Biaxial

Density

material

(g/cm )

Y2Ti2SiO9 Y2WO6 Y3SbO7 Y3TaO7 Y4Al2O9 YAlO3 YCa4O(BO3)3 YCaGaBe2Si2O10 YF3 YGd2Nb2O9 YHfTaO6 YNbO4 YP5O14 YScO3 YTaO4 YTiTaO6 Zn3(AsO3)2 Zn3(BO3)2 ZnB4O7 ZnWO4 ZrO2

© 2003 by CRC Press LLC

3

– 6.818 5.699 6.413 4.518 5.35 – 4.107 5.056 6.802 8.13 5.58 – 4.94 7.579 6.51 4.27 4.12 3.07 7.87 5.82

Hardness 2

(kg/mm ) – – – – – 1030–1450 6–6.5 (Mohs) 6.5 (Mohs) – – – – – – – – 5 (Mohs) – – – 6.5 (Mohs)

Cleavage

Solubility (ºC)

plane

(g/100 g H2O)

– – – – – (110)-p None None – – – – – – – – (110)-i – – – (001)-p

Insoluble – Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble – Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble Insoluble – – – Insoluble

1.3 Optical Properties* The optical properties of crystals in this section are grouped into three tables: isotropic crystals, uniaxial crystals, and biaxial crystals. Materials are listed alphabetically in order of the chemical formulas. The following properties are included: Transmission Range: Electronic and lattice absorption edges are given in terms of the wavelengths between which the transmission of a 1-mm-thick sample at 300 K is ≥ 10%. The values cited are approximate and are intended to as a general guide because many factors such as impurities, imperfections, temperature, crystallographic orientations, and compositional variations can affect the values. Band Gap: Band gap data for transitions at room temperature unless noted otherwise. The energy gap depends on the structure of the material and varies with direction in anisotropic crystals. Optical transition: (D) – direct, (I) – indirect. Refraction Index (n): For isotropic crystals, there is only one refractive index. Uniaxial crystals with tetragonal, hexagonal, and trigonal (or rhombohedral) symmetry exhibit a unique index of refraction (symbolized as e or ε) when light vibrates parallel to the c-axis (the extraordinary ray). For light vibrating at 90° to the c-axis (the ordinary ray), the refractive indices are the same (symbolized as o or ω) in all 360° directions. Biaxial crystals with orthorhombic, monoclinic, and triclinic symmetry possess three significant indices of refraction, commonly symbolized as x, y, z or α, β, γ in the order from smallest to largest. Unless specified, the refraction indices are the average values for standard daylight or are the values measured at 632.8 nm at room temperature (the differences in the daylight and He-Ne values are within 0.1%). In a few instances, e.g., tellurides, these materials are opaque to visible light so that the refractive indices are measured with an infrared light source. In these cases, the wavelength used is listed with parentheses. Birefringence (∆ n): Birefringence of anisotropic materials is a measure of the maximum difference of the refractive indices within a crystal for a given wavelength. Dispersion formulas: Refractive indices at specific wavelengths within specified ranges can be derived from dispersion formulas given in Section 1.3.4. Note that several different functional forms have been used to represent the dispersion of the refractive index. Thermooptic coefficients (dn/dt): Thermooptic coefficients of optical crystals at various wavelengths are given in Section 1.3.5.

* This section was adapted from “Optical crystals” by B. H. T. Chai, Handbook of Laser Science and Technology, Suppl. 2, Optical Materials (CRC Press, Boca Raton, FL, 1995), p. 3 ff (with additions).

© 2003 by CRC Press LLC

Section 1: Crystalline Materials 1.3.1 Isotropic Crystals Optical Properties of Isotropic Crystalline Materials Cubic material AgBr AgCl AlAs Al23O27N5 (ALON) β-AlN AlSb As2O3 Ba(NO3)2 BaF2 BaF2-CaF2 Bi12GeO20 Bi12SiO20 Bi12TiO20 Bi4Ge3O12 Bi4Si3O12 BN BP Ca12Al14O33 Ca3Al2Si3O12 Ca3Ga2Ge3O12 C (diamond) CaF2 CaLa2S4 CaO CdF2 CdO CdTe CsBr CsCl CsF CsI Cu2O CuBr CuCl CuI GaAs β-GaN GaP GaSb Gd2Ti2O7 Gd3Ga5O12 Gd3Sc2Al3O12

© 2003 by CRC Press LLC

Transmission (µm) 0.49–35 0.42–28 0.6 –15 0.23–4.8 4.9 – – – 0.14–13 0.15–12 0.47–7 0.52– – 0.31–6 – 0.2–6 0.5–6 0.35–6 – – 0.24–2.7 0.12–10 0.65–14.3 0.2–10 0.13–12 – 0.9–30 0.23–440 0.19–30 0.27–>15 0.25–62 – 0.45–26 0.4–19 – 0.9–17.3 – 0.54–10.5 1.7–20 – 0.32–6 –

Band gap (eV) 2.7 (I), 4.3 (D) 3.2 (I), 5.1 (D) 2.153 (I) – – 1.63 (I), 2.22 (D) 4–5 – 9.1 – – – – 4.2 – 7.5 (I) 2 (I) – – – 5.47 10 – 7.7 6 2.3 1.56 (D) 6.9 7.4 10 (80 K) 6.2 2.1 (I), 2.6 (D) 3.0 (80 K) 3.3 (80 K) 3.1 1.42 (D) 3.3 2.26 (I), 2.78 (D) 0.726 (D) – – –

Refractive index n 2.242 2.0568 2.87 1.79 – – 1.755 1.5714 1.4733 – 2.5476 – 2.5619 1.835 2.051 ≈2.117 2.8 1.643 1.734 1.814 2.4175 1.433 2.7 1.838 1.562 2.49 2.817 1.6929 1.64 1.48 1.7806 – 2.117 1.97 2.346 4.02 – 3.350 3.82 (1.8 µm) 2.36 1.9637 1.901

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Optical Properties of Isotropic Crystalline Materials—continued Cubic material Gd3Sc2Ga3O12 Ge HgS HgSe HgTe InAs β-InN InP InSb K2Mg2(SO4)3 K2NaAlF6 KBr KCl KF KI KMgF3 KTaO3 LiBaF3 LiBr LiCl LiF LiI Lu2O3 Lu2Ti2O7 Lu3Al5O12 Mg3Al2Si3O12 MgAl2O4 MgGa2O4 MgO MnO Na3Li3Al2F12 Na3Li3Ga2F12 Na3Li3In2F12 Na3Li3Sc2F12 Na8Al6Si6O24Cl2 NaBr NaCl NaF 5NaF -9YF3 NaI Pb(NO3)2 PbF2 PbI2 PbS © 2003 by CRC Press LLC

Transmission (µm) – 1.8–15 – 2.1–20 6–30 3.8–15 4.98 0.93–14 6–25 – – 0.20–306 0.18–25 0.146–16 0.25–39 – – – – 0.12–6.6 – – – – 0.21–5.3 – 0.16–9 – 0.15–13 0.15–13 0.15–13 0.15–13 – 0.2–24 0.17–18 0.13–12 – 0.26–24 – 0.29–12.5 – 3–7

Band gap (eV) – 0.664 (I) – 0.6 0.17 (D) 0.354 (D) – 1.344 (D) 0.17 – – 7.6 (D) 8.5 (D) 10.9 (D) 6.2 (D) – 3.5 – 7.9 (D) 9.3 (D) 13.6 (D) 6 (D) 3.9 (733 K) – – – – – 7.8 (D) 3.7 – – – – – 7.5 (D) 9.0 (D) 10.5 – 5.9 (D) – 5.0 2.4 0.42 (D)

Refractive index n 1.9628 4.052 (2.8 µm) 2.5 – – 4.10 – 3.43 5.13 1.53 1.376 1.5566 1.4879 1.362 1.6581 1.404 2.2 1.544 1.78 1.66 1.3912 1.95 – 2.57 1.842 1.713 1.715 1.879 1.735 2.18 1.3395 – – – 1.483 1.64 1.531 1.326 1.470 1.77 1.780 1.7611 – 4.1 (3 µm)

Section 1: Crystalline Materials Optical Properties of Isotropic Crystalline Materials—continued Cubic material PbSe PbTe RbBr RbCaF3 RbCl RbF RbI Sb2O3 Sc2O3 Si β-SiC SrF2 SrSnO3 SrTiO3 ThO2 Tl(Br,I) Tl(Cl,Br) Tl2O3 TlBr TlCl Y2 O3 Y2Ti2O7 Y3Al5O12 Y3Fe5O12 Y3Ga5O12 Y3Sc2Al3O12 ZnAl2O4 β-ZnS β-ZnS(CVD) ZnSe ZnSe (CVD) ZnSiAs2 ZnTe ZrO2 ZrO2:Y2O3

© 2003 by CRC Press LLC

Transmission (µm) 4.5–20 4–30 0.23–40 – 0.2–30 – 0.26–50 – – 1.1–6.5 0.5–4 0.13–12 – 0.4–5.1 0.22–9 0.58–42 0.42–27 – 0.44–38 0.4–30 0.29–7.1 – 0.21–5.2 – – – – 0.4–12.5 – 0.5–20 – – 0.55–25 0.35–7 0.38–6.0

Band gap (eV) 0.278 (D) 0.311 (D) 7.25 (D) – 8.3 (D) 10.4 (80 K) 5.83 (D) – – 1.124 (I) 2.6 (I) 9.4 – 4.1 5.7 – – – 3.1 (D) 3.6 5.6 – – – – – – 3.68 (D) – 2.71 (D) – 2.1 2.30 (D) 5.0 ~4.1

Refractive index n 4.59 (3 µm) 5.35 (3 µm) 1.55 – 1.49 – 1.64 2.087 1.964 3.4777 (1.55 µm) ~2.6 1.4371 1.90 2.3878 2.07 2.573 2.329 – 2.384 2.223 1.92 2.34 1.8289 2.25 (µm) 1.913 1.96 1.7902 2.3505 2.36 2.5907 2.59 – 2.962 2.1226 2.12

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1.3.2 Uniaxial Crystals Optical Properties of Uniaxial Crystalline Materials Uniaxial material Ag3AsS3 Ag3SbS3 AgGaS2 AgGaSe2 β-AgI Al2O3 AlF3 α-AlN AlPO4 Ba2TiSi2O8 Ba2ZnSi2O7 Ba3(VO4)2 Ba5(AsO4)3Cl Ba5(VO4)3Cl BaAl2O4 β-BaB2O4 BaBe(PO4)F BaGe4O9 BaSnSi3O9 BaZrSi3O9 Be2GeO4 Be2SiO4 Be3Al2Si6O18 Be3Sc2Si6O18 BeMg3Al8O16 BeO Bi2Ge3O9 Ca2Al2SiO7 Ca2MgSi2O7 Ca2Te2O5 Ca2ZnSi2O7 Ca3Ga2Ge4O14 Ca5(AsO4)3F Ca5(PO4)3Cl Ca5(PO4)3F Ca5(VO4)3Cl CaAl12O19 CaAl2B2O7 CaCO3–calcite

© 2003 by CRC Press LLC

Transmission (µm) 0.61–13.5 0.7–14 0.5–13 0.78–18 – 0.19–5.2 – – 0.2–3.6 0.3–5 – 0.3–5.6 – – – 0.19–3.5 – – – – – – – – – 0.11–4.5 0.25–6.5 – – – – 0.26–6.5 – – – – – – 0.2–5.5

Band gap (eV)

Refractive index ne

Refractive index no

Birefringence ∆n

2.1 – 2.6 1.7 2.9 9.9 – 6.23 (D) – – – – – – – 6.2 – – – – – – – – – 10.6 (D) – – – – – – – – – – – – 5.9

2.738 2.67 2.507 2.676 2.21 1.7579 1.3765 2.13 1.5334 1.765 1.710 – 1.880 1.870 1.657 1.54254 1.632 – 1.674 1.6751 1.720 1.670 1.5682 1.607 1.717 1.7322 2.08 1.658 1.64 2.00 1.657 1.822 1.698 1.647 1.624 1.865 1.79 – 1.486

3.019 2.86 2.554 2.700 2.22 1.7659 1.3770 2.20 1.5243 1.775 1.724 – 1.884 1.900 ? 1.65510 1.629 – 1.685 1.6850 1.734 1.654 1.5746 1.627 1.722 1.7166 2.01 1.669 1.632 1.89 1.669 1.795 1.706 1.650 1.629 1.893 1.807 1.563 1.658

–0.281 –0.19 –0.047 –0.024 (1 µm) –0.01 –0.008 –0.0005 –0.07 0.0091 –0.001 –0.014 – 0.004 0.030 – 0.11256 0.003 5.147 –0.011 –0.0099 –0.014 0.016 –0.0064 0.02 0.005 0.0156 0.07 –0.011 0.008 0.11 –0.012 0.027 –0.008 –0.003 –0.005 0.028 –0.017 – –0.172

Section 1: Crystalline Materials Optical Properties of Uniaxial Crystalline Materials—continued Uniaxial material CaCO3–vaterite CaGdAlO4 CaGe4O9 CaLa4(SiO4)3O CaLaAlO4 CaMg(CO3)2 CaMg3(CO3)4 CaMoO4 CaSnB2O6 CaWO4 CaYAlO4 CaZrBAl9O18 CdCl2 CdCO3 CdI2 CdS CdSe CsD2AsO4 CsD2PO4 CsGa(SO4)2 CsH2AsO4 CsLiB6O10 α-GaN GaS GaSe Gd2GeBe2O7 GdAl3(BO3)4 GdBO3 GeO2 Hg2Br2 Hg2Cl2 Hg2I2 HgI2 HgS InN In2O3 InBO3 K2Al2B2O7 K2BiNb5O15 K2CaZr(SiO3)4 K2Sr(SO4)2 K3LiNb5O15 KAlSi2O6 © 2003 by CRC Press LLC

Transmission (µm) – 0.35–7 – – 0.35–7 – – – – 0.13–5.6 0.35–7 – – – – 0.51–14.8 0.75–20 0.27–1.66 0.27–1.66 – 0.26–1.43 0.18–2.7 – 0.65–18 – – – 0.25–5 0.4–30 0.36–20 0.45–40 – 0.6–28 – – – 0.18–3.6 – – – – –

Band gap (eV) – – – – – – – – – – – – 5.7 – 3.9 2.42 (D) 1.70 (D) – – – –

Refractive index ne 1.65 1.9564 1.78 1.7637 – 1.503 1.609 1.9796 1.660 1.9375 – 1.7875 1.681 – – 2.529 2.557 1.53 – – 1.53

3.37 (D) ~2.25 2.3 (I), 3.8 (D) – – 2.57 – – – 1.720 – 1.840 5.6 – 2.6 – 3.9 2.656 2.4 – 2.1 – 2 3.232 1.99 ~2.09 2.7 (I) – – 1.773 – – – 2.253 – 1.655 – 1.549 – 2.156 – 1.509

Refractive index no

Birefringence ∆n

1.55 1.9331 – 1.7915 ≈2.6 1.680 1.708 1.9703 1.778 1.9208 – 1.8159 1.719 1.842 1.574 2.506 2.537 1.55 – – 1.55

0.10 0.0233 – –0.028 – –0.177 0.099 0.0093 –0.118 0.017 – –0.0284 –0.038 – – 0.023 0.02 –0.02 – – –0.02

~2.29 – 2.91 – 1.780 1.824 1.6045 – 1.973 – – 2.885 – – 1.873 – 2.237 1.625 1.569 2.294 1.508

~0.04 – 0.34 (1 µm) – –0.060 0.016 – – 0.683 – – 0.347 – – –0.100 – 0.016 0.03 –0.020 0.148 0.001

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KAlSiO4 KBe2BO3F2 KD2PO4 KH2PO4 KZnF3 La2GeBe2O7 La2O3 La2WO6 La3Ga5GeO14 La3Ga5SiO14 La3Nb0.5Ga5.5O14 La3Ta0.5Ga5.5O14 LaAlO3 LaBaGa3O7 LaBSiO5 LaCaGa3O7 LaCl3 LaF3 LaSrGa3O7 Li2B4O7 LiAlSiO4 LiCaAlF6 LiGdF4 LiIO3 LiLuF4 LiNbO3 LiSrAlF6 LiTaO3 LiYF4 LuAl3(BO3)4 Mg2Al3(Si5Al)O18 MgCO3 MgF2 MgTiO3 MnF2 Na2Al2B2O7 Na(Li,Al)3Al6(BO3)3 -Si6O18(OH) NaNO3 NaSbBe4O7 NaScO2 NH4H2PO4 Pb3Ca2(AsO4)3Cl

© 2003 by CRC Press LLC

Transmission (µm) – 0.155 0.20–1.5 0.18–1.5 – – – – 0.24–7.5 0.35 – 0.29–6.7 0.29–6.7 – – – – – 0.2–10 – – – – – 0.38–5.5 – 0.35–5.0 – – 0.12–8 – – – 0.13–7.7 – – – variable 0.35–3 – – 0.19–1.5 –

Band gap (eV)

Refractive index ne

Refractive index no

Birefringence ∆n

– 1.5372 – 1.406 – 1.46 7.0 1.4669 – – – 1.905 2.9 (530 K) – – 2.18 – 1.940 – 1.9106 – 1.896 – 1.970 – – – 1.850 – 1.7753 – 1.831 – 1.8929 6.6 1.602 – 1.820 – 1.560 – 1.572 – 1.3852 – 1.474 4.0 1.7351 – 1.468 4.0 2.156 – 1.384 – 2.188 ~11 1.4762 – 1.712 – 1.527 – 1.510 10.8 1.3886 – 1.95 10.2 – – 1.504 – 1.615–1.632

1.541 1.472 1.49 1.5074 – 1.890 – 2.16 1.925 1.89965 1.955 1.945 – 1.845 1.7843 1.826 1.8265 1.606 1.806 1.605 1.56 1.3882 1.502 1.8815 1.494 2.232 1.380 2.183 1.4535 1.771 1.524 1.700 1.3768 2.31 – 1.540 1.635–1.65

–0.0038 –0.066 0.03 –0.0405 – 0.015 – 0.02 0.015 0.01141 0.059 0.025 – 0.005 –0.009 0.005 0.0664 0.004 0.014 –0.045 0.012 –0.003 –0.028 –0.1464 –0.026 –0.076 0.004 –0.005 0.0227 –0.059 0.003 –0.190 0.0118 –0.36 – –0.036 0.0180–0.0200

– – – 6.8 –

1.3361 1.770 – 1.48 1.948

1.5874 1.772 – 1.53 1.958

–0.251 0.002 – –0.0458 –0.010

Section 1: Crystalline Materials Optical Properties of Uniaxial Crystalline Materials—continued Uniaxial material Pb5(AsO4)3Cl Pb5(PO4)3Cl Pb5(PO4)3F Pb5(VO4)3Cl PbAl12O19 PbMoO4 PbO-litharge PbWO4 RbH2AsO4 RbH2PO4 ScBO3 Se α-SiC Si3N4 α-SiO2 SnO2 Sr2MgGe2O7 Sr3Ga2Ge4O14 Sr5(PO4)3F Sr5(VO4) 3F Sr5(VO4)3Cl SrAlF5 (Sr0.6Ba0.4)Nb2O6 SrGdGa3O7 SrLa4(SiO4)3O SrMoO4 Ta2O5 TaBO4 Te ThSiO4 TiO2 (rutile) Tl3AsS3 Tl3AsSe3 Y2SiBe2O7 YAl3(BO3)4 YAsO4 YBO3 YPO4 YVO4 Zn2SiO4 ZnCO3 ZnCl2 ZnF2

© 2003 by CRC Press LLC

Transmission (µm) – – – – – 0.4–5.9 – – 0.26–1.46 0.22–1.4 – 1–30 0.5–4 0.3–4.6 0.16–4.0 – (4.3) – 0.26–6.8 – – – 0.16–7 0.5–5.5 – – – – (4.6) – 3.5–32 – 0.42–4.0 1.26–17 1.3–16 – – – – – 0.35–4.8 – – ~0.4–~15 –

Band gap (eV)

Refractive index ne

– 2.106 – 2.408 – – – 2.350 – 1.88 3.6 2.2584 2.8 2.535 5.6 2.19 – 1.50 – 1.47 – 1.780 1.7 3.61 2.8 (I) ~2.6 5 – 8.4 1.56 2.5 (I), 3.4 (D) 2.091 – 1.800 – 1.85 – 1.6252 – 1.809 – 1.868 – – – 2.270 – 1.830 – 1.8227 – 1.9110 – 2.21 – > 2.12 0.33 4.929 1.79 3.5 (D) 2.872 – – – 3.227 – 1.80 – 1.704 – 1.879 – 1.802 – 1.816 – 2.2148 – 1.719 – 1.625 – – – 1.502

Refractive index no 2.124 2.058 – 2.416 1.80 2.3812 2.655 2.27 1.55 1.50 1.872 2.79 – 2.04 1.55 1.990 1.816 1.8336 1.6314 1.824 1.895 – 2.310 1.838 1.8567 1.9064 2.20 > 2.12 6.372 1.78 2.584 – 3.419 1.83 1.778 1.783 1.788 1.827 1.9915 1.691 1.850 – 1.529

Birefringence ∆n –0.018 –0.010 – –0.066 0.08 –0.123 0.130 –0.08 –0.05 –0.03 –0.092 0.82 (1µm) – – 0.0095 0.010 –0.016 0.0164 –0.062 –0.015 0.027 – 0.04 0.008 –0.034 0.0046 0.01 – –1.45 (4 µm) 0.01 0.288 – –0.192 –0.03 0.074 0.096 0.014 –0.011 0.2233 0.028 –0.275 – –0.027

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ZnGeP2 ZnO ZnSb2O6 α-ZnS ZrO2 ZrSiO4

Transmission (µm) 0.74–15 0.37– – – – 0.4–

Band gap (eV) – 3.35 (D) – – 4.99– –

Refractive index ne

Refractive index no

3.28 2.015 >1.95 2.378 – 1.967

3.23 1.998 >1.95 2.356 – 1.920

Birefringence ∆n 0.05 (1 µm) 0.017 – 0.022 – 0.042

1.3.3 Biaxial Crystals Optical Properties of Biaxial Crystalline Materials Biaxial

Transmission (µm)

Refractive

Refractive

Refractive

Birefringence

material

[Band gap (eV)]

index nx

index ny

index nz

∆n

Al2(WO4)3 Al2SiO4F2 Al2SiO5 (andalusite) Al2SiO5 (kyanite) Al2SiO5 Al4B2O9 Al6Ge2O13 Al6Si2O13 AlNb11O29 AlNbO4 As2S3 AsS AsSbS3 Ba2CaMgAl2F14 Ba2NaNb5O15 BaAl2Si2O8 BaBe2Si2O7 BaCa2Mg(SiO4)2 BaCa2Si3O9 BaCO3 BaMgF4 β-BaSi2O5 BaSO4 BaY2F8 Be2BO3F BeAl2O4 BiB3O6

© 2003 by CRC Press LLC

0.3–5.0 – – – – – – 0.21 – – [2.5] –

– 1.630 1.629 1.712 1.653 1.605 1.72 1.642 2.20 1.985 2.4 2.538

– 0.38–6.0 – – – – – 0.185–10 – – 0.2–9.5 – – 0.3–2.5

1.441 2.2177 1.587 1.694 1.731 1.668 1.530 1.4496 1.598 1.6362 1.5142 1.554 1.746 –

– 1.631 1.633 1.720 1.654 1.610 – 1.644 – – 2.81 2.684 >2.11 1.442 2.3205 1.593 1.70 – 1.684 1.679 1.4661 1.617 1.6373 1.5232 1.587 1.748 –

– 1.638 1.638 1.727 1.669 1.645 1.758 1.654 2.22 2.005 3.02 2.704 >2.73 1.444 2.3222 1.600 1.706 1.752 1.685 1.680 1.4738 1.625 1.6482 1.5353 1.628 1.756 –

– 0.008 0.009 0.015 0.023 0.040 0.046 0.012 0.02 0.02 ~0.6 0.116 >0.62 0.003 0.1045 0.013 0.012 0.021 0.017 0.150 0.0242 0.027 0.012 0.0211 0.074 0.010 –

Section 1: Crystalline Materials

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Optical Properties of Biaxial Crystalline Materials—continued Biaxial

Transmission (µm)

Refractive

Refractive

Refractive

Birefringence

material

[Band gap (eV)]

index nx

index ny

index nz

∆n

Bi2Mo3O12 Bi2O3 Bi2WO6 BiSbO4 BiTaO4 BiVO4 (puucherite) Ca(IO3)2 β-Ca2SiO4 Ca2(VO4)Cl Ca2Al2O5 Ca2V2O7 Ca3(VO4)2 Ca3(Zr,Ti)Si2O9 Ca3MgSi2O8 Ca3Si2O7 Ca5Al6O14 Ca5Ga6O14 CaAl2F8 CaAl2Si2O8 CaAl4O7 CaAlB3O7 CaAlBO4 CaB2Si2O8 CaB3O5F CaBa(CO3)2 CaBe(PO4)F CaBe2(PO4)2 CaCO3-α CaGe2O5 CaMgAsO4F CaMgB2O5 CaMgSi2O6 CaMgSiO4 CaNb2O6 CaSc2O4 CaSiO3 CaSnSiO5 CaSO4 CaTiSiO5 CaV2O6 CaZnSiO4 CaZrSi2O7 Cd2B6O11 © 2003 by CRC Press LLC

0.42–5.2 [2.9] [2.8] – – – – – – – – – – – – – – 0.255–6.5 – – 0.23–5.1 – – – – – – – – – – – – – 0.3–5.5 0.3–6.5 – – – – – – – –

2.254 ? – 2.04 – 2.41 1.792 1.707 1.835 1.96 1.942 1.864 1.735 1.706 1.641 1.68 – 1.501 1.577 1.6178 1.712 1.558 1.630 1.612 1.5261 1.580 1.595 1.530 1.84 1.640 1.635 1.664 1.641 2.07 – 1.615 1.765 1.570 1.84 1.916 1.767 1.720 1.617

2.306 2.42 2.2 – 2.35 2.50 1.840 1.715 – 2.01 2.00 1.885 1.737 1.712 1.644 1.682 – 1.503 1.585 1.6184 1.717 1.585 1.633 1.636 1.6710 1.600 1.601 1.6810 – 1.660 1.681 1.671 1.649 2.10 – 1.627 1.784 1.575 1.870 1.995 1.770 1.736 1.630

2.497 ? – 2.14 – 2.51 1.888 1.730 1.865 2.04 2.132 1.890 1.758 1.724 1.650 1.685 – 1.510 1.590 1.6516 1.726 1.614 1.635 1.653 1.6717 1.610 1.604 1.6854 1.88 1.675 1.698 1.694 1.655 2.19 – 1.629 1.799 1.614 1.943 2.13 1.774 1.738 –

0.243 – – 0.10 – 0.10 0.096 0.023 0.03 0.08 0.19 0.026 0.023 0.018 0.009 0.005 – 0.009 0.013 0.0338 0.014 0.056 0.005 0.041 0.146 0.030 0.009 0.1554 0.04 0.035 0.063 0.030 0.014 0.12 – 0.014 0.034 0.044 0.103 0.214 0.007 0.018 –

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Handbook of Optical Materials Optical Properties of Biaxial Crystalline Materials—continued Biaxial

Transmission (µm)

Refractive

Refractive

Refractive

Birefringence

material

[Band gap (eV)]

index nx

index ny

index nz

∆n

CsB3O6 CsNbO(SO4)2 CsTiOAsO4 β-Ga2O3 Gd2O3 Gd2(MoO4)3 Gd2SiO5 GdP5O14 HfO2 HgCl2 HIO3 InPO4 KAl3Si3O10(OH)2 KAlSi3O8 KBF4 KB5O8•4H2O KLaP4O12 KNbB2O6 KNbO3 KNO3 KPbCl KTiOAsO4 KTiOPO4 KVO3 La(BO2)3 La2Be2O5 La2Ti2O7 LaBO3 LaP5O14 LaPO4 Li2BeSiO4 Li2CO3 Li2GeO3 Li3PO4 Li3VO4 LiAl(PO4)F LiAlSi2O6 LiAlSi4O10 LiB3O5 LiBO2 LiGaO2 LiVO3 Lu2SiO5 © 2003 by CRC Press LLC

0.17–3.0 – 0.35–5.3 0.3–4.5 [2.9, 933 K] 0.32–5.2 0.2–5 – [5.5] – 0.3–1.8 – – – – 0.16–1.5 – 0.27–3.1 0.4–4.5 – 0.3–20 0.35–3.0 0.35–4.5 [3.5] 0.4–5.5 – 0.3–4 – – – – – – – – 0.32 – – – – 0.16–2.6 – 0.25–6 0.5–5.5 0.2–5

1.5294 1.597 1.8796 – – 1.8385 1.871 1.6094 – 1.725 2.37 1.608 1.552 1.518 1.324 1.422 1.592 1.773 2.168 1.332 1.8079 1.7614 – 1.694 1.9641 2.17 1.800 1.5956 1.774 1.622 1.430 ? 1.550 – 1.575 1.648 1.504 1.5742 1.540 1.730 1.850 1.797

1.5588 1.604 1.8961 1.962 – 1.8390 1.884 1.6158 – 1.859 2.5 1.618 1.582 1.520 1.325 1.435 1.600 1.773 2.279 1.505 n≈2 1.8138 1.7704 – 1.769 1.9974 2.24 1.877 1.6015 1.77 1.633 1.567 1.686 1.557 – 1.587 1.655 1.510 1.6014 1.612 1.758 1.970 1.803

1.5864 1.703 1.9608 – – 1.8915 1.910 1.6298 – 1.965 2.65 1.623 1.587 1.523 1.325 1.488 1.608 1.801 2.329 1.509

0.0570 0.106 0.0812 – – 0.053 0.039 0.0204 – 0.240 0.280 0.015 0.036 0.005 0.001 0.066 0.016 0.028 0.161 0.172

1.9044 1.8636 – 1.791 2.0348 2.265 1.882 1.6145 1.828 1.638 1.570 ? 1.566 – 1.590 1.662 1.516 1.6163 1.616 1.761 2.13 1.825

0.0965 0.1022 – 0.097 0.071 0.095 0.082 0.0189 0.054 0.016 0.140 – 0.016 – 0.015 0.014 0.012 0.0421 0.076 0.031 0.28 0.028

Section 1: Crystalline Materials

73

Optical Properties of Biaxial Crystalline Materials—continued Biaxial

Transmission (µm)

Refractive

Refractive

Refractive

Birefringence

material

[Band gap (eV)]

index nx

index ny

index nz

∆n

LuP5O14 Mg2(PO4)F Mg2B2O5 Mg2GeO4 Mg2SiO4 Mg3(PO4)2 Mg3B2O6 Mg3B7O13Cl Mg3TiB2O8 Mg4Al8Si2O20 Mg5(BO3)3F Mg2SiO4 MgAl3BSiO9 MgAlBO4 MgMoO4 MgSiO3 Na2BaTi2Si4O14 Na2BeSi2O6 Na2Ca(PO4)F Na2CaMg(PO4)2 Na2MgAlF7 Na2MgSiO4 Na2Si2O5 Na2Ti2Si2O9 Na3AlF6 NaAl(AsO4)F NaAl(PO4)F NaAlSi3O8 NaBe2BO3F2 NaBePO4 NaBF4 NaCaPO4 NaMgF3 NaNbO3 NaScSi2O6 NaSr3Al3F16 NaVO3 NaZnF3 NH4B5O8•4H2O Pb2KNb5O15 Pb2V2O7 PbBr2 PbCl2

– – – – – – – – – – – – – – – – – – – – – – – – – – – – ~0.15– – – – – – – – 0.4–5.5 – – –– – 0.36–30 [3.3] 0.35–20

© 2003 by CRC Press LLC

1.5950 1.569 1.596 1.698 1.635 1.540 1.652 1.658 1.806 1.701 1.614 1.635 1.590 1.667 1.82 1.654 1.727 1.544 1.508 1.598 1.346 1.534 1.507 1.91 1.338 1.634 1.545 1.527 1.370 1.552 1.301 1.607 – 2.10 1.683 1.429 – – 1.42 2.39 – 2.1992

1.6072 1.570 1.639 1.717 1.651 1.544 1.653 1.662 1.809 1.703 1.623 1.651 1.618 1.697 1.83 1.655 1.732 1.549 1.515 1.605 1.348 1.536 1.517 2.01 1.338 1.672 1.554 1.531 1.474 1.558 1.3012 1.610 1.364 2.19 1.715 1.433 – 1.440 1.43 2.445 2.2–2.6 – 2.2172

1.6125 1.580 1.670 1.765 1.670 1.559 1.673 1.668 1.830 1.705 1.648 1.670 1.623 1.705 1.84 1.665 1.789 1.549 1.520 1.608 1.350 1.543 1.521 2.03 1.339 1.685 1.565 1.538 1.474 1.561 1.3068 1.616 – 2.21 1.724 1.436 – – 1.48 2.46 – 2.2596

0.0175 0.011 0.074 0.067 0.035 0.015 0.021 0.010 0.024 0.004 0.034 0.035 0.033 0.038 0.02 0.011 0.062 0.005 0.012 0.010 0.004 0.009 0.014 0.12 0.001 0.051 0.020 0.011 0.104 0.009 0.0058 0.009 – 0.11 0.041 0.007 – – 0.06 0.07 0.279 – 0.0604

74

Handbook of Optical Materials Optical Properties of Biaxial Crystalline Materials—continued Biaxial

Transmission (µm)

Refractive

Refractive

Refractive

Birefringence

material

[Band gap (eV)]

index nx

index ny

index nz

∆n

PbCO3 PbO (massicot) PbSeO3 PbSeO4 PbSiO3 PbSO4 PbZnSiO4 RbNbB2O6 RbTiOAsO4 RbTiOPO4 Sb2O3 SbNbO4 SbTaO4 Sc2(WO4)3 Sc2Si2O7 Sc2SiO5 (Sc,Y)2Si2O7 Sr2(VO4)Cl Sr2Nb2O7 SrAl2O4 SrAl4O7 SrB2O4 SrCO3 SrGa2O4 SrSO4 SrZrO3 Ta2O5 TeO2 V2 O5 Y2BeO4 Y2MgBe2Si2O10 Y2Si2O7 Y2SiO5 Y4Al2O9 YAlO3 Zn3(AsO3)2 ZrO2

– [1.7] – – – – – 0.27–3.0 0.35–5.3 0.35–4.3 – – – 0.3–5.0 – – – – – – 0.2–5.5 – – – – 0.28–7.7 [4.6] 0.33–5.0 [3] [~2.3] – – – 0.2–5 – 0.2–7 – –

1.803 2.51 2.12 1.96 1.947 1.878 1.91 1.751 1.8294 1.7884 2.18 2.3977 2.3742 1.728 1.754 1.835 1.756 1.785 1.85 1.638 1.620 1.632 1.517 1.737 1.6215 – – 2.00 2.42 1.840 1.78 1.731 1.780 1.826 1.9243 1.74 2.13

2.074 2.61 2.14 1.97 1.961 1.883 1.95 1.771 1.838 1.7992 2.35 2.4190 2.4039 1.754 1.785 ? 1.793 – 2.044 – 1.636 1.650 1.663 – 1.6237 – – 2.18 ? – 1.80 1.738 1.784 1.830 1.9387 1.79 2.19

2.076 2.71 2.14 1.98 1.968 1.895 1.96 1.795 1.9186 1.8859 2.35 2.4588 2.4568 1.755 1.803 1.850 1.809 1.816 2.05 1.656 1.644 1.660 1.667 1.767 1.6308 – – 2.35 – 1.855 1.82 1.744 1.811 1.832 1.9478 1.82 2.20

0.273 0.200 0.02 0.02 0.021 0.017 0.05 0.044 0.0892 0.0975 0.17 0.061 0.083 0.027 0.049 – 0.053 0.03 0.20 0.018 0.024 0.028 0.150 0.03 0.0057 – – 0.35 – 0.015 0.04 0.013 0.031 0.006 0.0235 0.08 0.07

Section 1: Crystalline Materials

75

References: Berger, L. I. and Pamplin, B. R., Properties of semiconductors, CRC Handbook of Chemistry and Physics, 82nd edition, Lide, D. R., Ed. (CRC Press, Boca Raton, FL, 2001), p. 12–87. Chai, B. H. T., Optical crystals, Handbook of Laser Science and Technology, Suppl. 2, Optical Materials (CRC Press, Boca Raton, FL, 1995), p. 3. Frederikse, H. P. R., Structure, melting point, density, and energy gap of simple inorganic compounds, American Institute of Physics Handbook, 3rd edition, Gray, D. E., Ed. (McGraw-Hill, New York, 1972), p. 9–16. Strehlow, W. H. and Cook, E. L., Compilation of energy band gaps in elemental and binary compound semiconductors and insulators, J. Phys. Chem. Ref. Data 2, 163 (1973). Tropf, W. J., Thomas, M. F., and Harris, T. J., Properties of crystals and glasses, Handbook of Optics, Vol. II (McGraw-Hill, New York, 1995), p. 33.51.

1.3.4 Dispersion Formulas for Refractive Indices Dispersion formulas for the refractive indices of crystals at room temperature are given in the following pages. Tabulated values of refractive indices at many wavelengths are given in Refs. 1–4 for most of the crystals below. Dispersion formulas for several organic materials are given in Refs. 1 and 3.

© 2003 by CRC Press LLC

76

Dispersion Formulas for Refractive Indices 2

2

Range (µm)

2

no = 7.483 + 0.474/(λ − 0.09) − 0.0019λ 2 2 2 ne = 6.346 + 0.342/(λ − 0.09) − 0.0011λ

Ag3AsS3

2

2

2

2

2

no = 9.220 + 0.4454λ /(λ − 0.1264) + 1733λ /(λ − 1000) 2 2 2 2 2 2 ne = 7.007 + 0.3230λ /(λ − 0.1192) + 660λ /(λ − 1000) 2

2

2

2

AgBr

(n − 1)/(n − 2) = 0.452505 + 0.09939/(λ − 0.070537) − 0.001509λ

AgCl

(n − 1) = 2.062508λ /[λ − ( 0.1039054) ] + 0.9461465λ /[λ − (0.2438691) ] + 4.300785λ /[λ − (70.85723) ]

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

no = 3.6280 + 2.1686λ /(λ − 0.1003) + 2.1753λ /(λ − 950) 2 2 2 2 2 ne = 4.0172 + 1.5274λ /(λ − 0.1310) + 2.1699λ /(λ − 950)

AgGaSe2

no = 4.6453 + 2.2057λ /(λ − 0.1897) +1.8377λ /(λ − 1600) 2 2 2 2 2 ne = 5.2912 + 1.3970λ /(λ − 0.2845) + 1.9282λ /(λ − 1600)

β-AgI

AlAs AlN

ALON

© 2003 by CRC Press LLC

2

no = 2.184; ne = 2.200 @ 0.659 µm no = 2.104; ne = 2.115 @ 1.318 µm 2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

no = 1 + 1.43134936λ /[λ − (0.0726631) ] + 0.65054713λ /[λ − (0.1193242) ] + 5.3414021λ /[λ − (18.028251) ] 2 2 2 2 2 2 2 2 2 2 ne = 1 + 1.5039759λ /[λ − ( 0.0740288) ] + 0.55069141λ /[λ − (0.1216529) ] + 6.59273791λ /[λ − (20.072248) ] 2

2

2

2

2

2

2

2

2

2

n = 2.0729 + 6.0840λ /[λ − 0.2822) ] + 1.900λ /[λ –27.62) ] 2

2

2

2

no = 3.1399 + 1.3786λ /[λ − (0.1715) ] + 3.861λ /[λ − (15.03) ] 2 2 2 2 2 2 2 ne = 3.0729 + 1.6173λ /[λ − (0.1746) ] + 4.139λ /[λ − (15.03) ] 2

2

2

2

2

2

0.63–4.6 0.59–4.6

5

0.6–20

5

0.49–0.67

6

0.54–21.0

7

0.49–12

8

0.73–13.5

8

—

no = 1 + 6.585λ /[λ − (0.4) ] + 0.1133λ /[λ − (15) ] 2 2 2 2 2 2 2 ne = 1 + 5.845λ /[λ − (0.4) ] + 0.0202λ /[λ − (15) ]

Ag3SbS3

Al2O3

2

2

AgGaS2

2

2

2

n − 1 = 2.1375λ /[λ − (0.10256) ] + 4.582λ /[λ − (18.868) ]

Ref.

9

1.5–10.6

10

0.22–5.0

13

0.56–2.2

11

0.22–5.0

12

0.4–2.3

14

Handbook of Optical Materials

Dispersion formula (wavelength λ in µm)

Material

BaF2

2

2

2

no = 2.7405 + 0.0184/(λ − 0.0179) − 0.0155λ 2 2 2 ne = 2.3730 + 0.0128/(λ − 0.0156) − 0.0044λ

BaB2O4 2

2

2

2

2

2

2

2

2

2

2

BaTiO3

no = 1 + 4.187λ /[λ − (0.223) ] 2 2 2 2 ne = 1 + 4.064λ /[λ − 0.211) ]

BaMgF4

nx = 2.1462 + 0.00736λ /(λ –0.0090) 2 2 2 ny = 2.007 + 0.0076λ /(λ –0.00799) 2 2 2 nz = 2.1238 + 0.0086λ /(λ –0)

2

2

2

2

Ba2NaNb5O12

BeO

2

2

nx = 1 + 3.6008λ /(λ –0.032199) 2 2 2 ny = 1 + 3.9495λ /(λ –0.040140) 2 2 2 nz = 1 + 3.9495λ /(λ –0.040389) 2

2

2

2

2

2

2

no = 1 + 1.92274λ /[λ − (0.07908) ] + 1.24209λ /[λ − (9.7131) ] 2 2 2 2 2 2 2 ne = 1 + 1.96939λ /[λ − (08590) ] + 1.67389λ /[λ − (10.4797) ]

2

2

2

2

2

15

0.27–10.3

16

0.4–0.7

17

0.53–1.06

18

0.46–1.06

19, 20

0.44–7.0

38, 50

2

2

2

2

Bi4Ge3O12

n = 1 + 3.08959λ /(λ –0.01337)

Bi12GeO20

n = 1 + 4.601λ /[λ − (0.242) ]

2

2

2

2

117

2

0.48–1.06

2

0.48–0.7

2

2

n = 2.72777 + 3.01705λ /[λ − (0.266) ]

Bi12SiO20

2

2

2

2

n = 1 + 6.841λ /[λ − (0.267) ]

BP 2

2

2

2

2

2

2

n = 1 + 4.3356λ /[λ − (0.1.60) ] + 0.3306λ /[λ − (0.1750) ]

21 22, 32

0.4–0.7

23

0.48–0.7

24

0.225–∞

29

Section 1: Crystalline Materials

nx = 3.6545 + 0.0511λ /(λ − 0.0371) − 0.0226λ 2 2 2 2 ny = 3.0740 + 0.03233λ /(λ − 0.0316) − 0.01337λ 2 2 2 2 nz = 3.1685 + 00373λ /(λ − 0.0346) − 0.01750λ

BiB3O6

C (diamond)

2

no = 1 + 0.643356λ /[λ − (0.057789) ] + 0.506762λ /[λ − (0.10968) ] + 3.8261 /[λ − (14.3864) ]

0.22–1.06

77

© 2003 by CRC Press LLC

78

Dispersion Formulas for Refractive Indices—continued Range (µm)

2

2

Ca2Al2SiO7

no = 1 + 1.712/( λ –0.0196) 2 2 ne = 1 + 1.687/( λ − 0.01133)

Ca5(PO4)3F

no = 2.626769 + 0.014626/( λ − 0.012833) − 0.007653λ 2 2 2 ne = 2.620175 + 0.014703/( λ − 0.011037) − 0.007544λ 2

2

2

2

2

2

2

2

2

2

no = 1 + 0.8559λ /[λ − (0.0588) ] + 0.83913λ /[λ − (0.141) ] + 0.0009λ /[λ − (0.197) ] + 2 2 2 0.6845λ /[λ − (7.005) ] 2 2 2 2 2 2 2 2 2 ne = 1 + 1.0856λ /[λ − ( 0.07897) ] + 0.0988λ /[λ − (0.142) ] + 0.317λ /[λ − (1.468) ]

CaCO3

CaF2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

CaMoO4

no = 1 + 2.7840λ /[λ –(0.1483) ] + 1.2425λ /[λ − (11.576) ] 2 2 2 2 2 2 2 ne = 1 + 2.8045λ /[λ − (0.1542) ] + 1.0055λ /[λ − (10.522) ]

CaWO4

no = 1 + 2.5493λ /[λ − (0.1347) ] + 0.9200λ /[λ − (10.815) ] 2 2 2 2 2 2 2 ne = 1 + 2.6041λ /[λ − (0.11379) ] + 4.1237λ /[λ − (21.371) ]

CdGeAs2

no = 10.1064 + 2.2988λ /(λ − 1.0872) + 1.6247λ /(λ − 1370) 2 2 2 2 2 ne = 11.8018 + 1.2152λ /(λ − 2.6971) + 1.6922λ /(λ − 1370)

CdGeP2

no = 5.9677 + 4.2286λ /(λ –0.2021) + 1.6351λ /(λ –671.33) 2 2 2 2 2 ne = 61573 + 4.0970λ /(λ –0.2330) + 1.4925λ /(λ –671.33)

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

CdS

no = 1 + 3.96582820λ /[λ − (0.23622804) ] + 0.18113874λ /[λ − (0.48285199) ] 2 2 2 2 2 2 2 ne = 1 + 3.97478769λ /[λ − ( 0.22426984) ] + 0.26680809λ /[λ − (0.46693785) ] 2 2 2 +0.00074077λ /[λ − (0.50915139) ]

CdSe

no = 4.2243 + 1.7680λ /(λ − 0.2270) + 3.1200λ /(λ − 3380) 2 2 2 2 2 ne = 4.2009 + 1.8875λ /(λ − 0.2171) + 3.6461λ /(λ − 3629)

© 2003 by CRC Press LLC

2

n = 1 + 0.5675888λ /[λ − ( 0.050263605) ] + 0.4710914λ /[λ − (0.1003909) ] + 3.8484723λ /[λ − (34.649040) ]

2

2

2

2

2

Ref.

0.31–1.06

26

0.4–1.0

27

0.2–2.2

28

0.23–9.7

45

0.45–3.8

30, 50

0.45– 4.0

30, 50

2.4–11.5

8

5.5–12.5

31

0.51–1.4

93

1–12

8

Handbook of Optical Materials

Dispersion formula (wavelength λ in µm)

Material

2

2

2

2

2

2

2

n = 1 + 6.1977889λ /[λ − (0.317069) ] + 3.22438216λ /[λ − (72.0663) ]

CdTe

2

2

2

6–22

2

nx = 2.2916 + 0.02105λ /(λ − 0.06525)–0.000031848λ 2 2 2 2 ny = 3.34498 + 1.04863λ /(λ − 0.22044) − 0.01483λ 2 2 2 2 nz = 3.53666 + 1.10600λ /(λ − 0.24988]) − 0.01711λ

CsB3O5

2

2

2

2

2

2

0.35–1.06

2

2

2

2

CsBr

n = 1 + 0.9533786λ /[λ − (0.0905643) ] + 0.8303809λ /[λ − (0.1671517) ] + 2.847172λ /[λ − (119.0155) ]

CsCl

n = 1.33013 + 0.98369λ /[λ − (0.119) ] + 0.00009λ /[λ − (0.137) ] + 0.00018λ /[λ − (145) ] 2 2 2 2 2 2 + 0.30914λ /[λ − (0.162) ] + 4.320λ /[λ − (100.50) ]

2

2

2

2

2

2

2

2

2

2

2

2

CsD2AsO4

no = 1 + 1.40840λ /(λ –0.01299) 2 2 2 ne = 1 + 1.34731λ /(λ –0.01185)

CsH2AsO4

no = 1 + 1.39961λ /(λ –0.01156) 2 2 2 ne = 1 + 1.34417λ /(λ –0.01155)

CsI

2

2

2

2

2

2

2

2

2

2

2

no = 2.2049 + 0.0110259/(λ –0.0118119)–0.0000695625λ 2 2 2 ne = 2.05936 + 0.00864948/(λ –0.0128929) − 0.0000267532λ 2

2

2

2

2

2

2

nx = 3.74440 + 0.70733λ /(λ − 0.26033) − 0.01526λ 2 2 2 2 ny = 3.34498 + 1.04863λ /(λ − 0.22044) − 0.01483λ 2 2 2 2 nz = 3.53666 + 1.10600λ /(λ − 0.24988) − 0.01711λ

CsTiOAsO4

2

2

2

n = 3.580 + 0.03162λ /(λ − 0.1642) + 0.09288/λ

CuCl

2

2

2

2

2

2

2

2

no = 3.9064 + 2.3065λ /(λ − 0.1149) + 1.5479λ /(λ − 738.43) 2 2 2 2 2 ne = 4.3165 + 1.8692λ /(λ − 0.1364) + 1.7575λ /(λ − 738.43)

0.36–39

34

0.18–40

35

0.35–1.06

36

0.35–1.06

36

0.29–50

37

0.24–0.63

118

0.63–1.06

0.45–1.55

91

0.43–2.5

25

0.55–11.5

39, 116

79

© 2003 by CRC Press LLC

2

n = 1 + 0.34617251λ /[λ − (0.0229567) ] + 1.0080886λ /[λ − (0.1466) ] + 0.28551800λ /[λ − (0.1830) ] 2 2 2 2 2 2 + 0.39743178λ /[λ − (0.2120) ] + 3.3605359λ /[λ − (161.0) ]

no = 2.14318 + 0.0158749/(λ + 1.37559)–0.00062375λ 2 2 2 ne = 2.04195 + 0.0273245/(λ + 0.286672) − 0.000342718λ

CuGaS2

2

117

Section 1: Crystalline Materials

CsLiB6O10

2

2

33

80

Dispersion Formulas for Refractive Indices—continued 2

2

2

2

Range (µm) 2

no = 3.9064 + 2.3065λ /(λ − 0.1149) + 1.5479λ /(λ − 738.43) 2 2 2 2 2 ne = 4.3165 + 1.8692λ /(λ − 0.1364) + 1.7575λ /(λ − 738.43)

CuGaS2

2

2

2

2

2

0.55–11.5 2

GaAs

n = 3.5 + 7.4969λ /(λ − 0.4082) + 1.9347λ /[(λ − 37.17) ]

α-GaN

2

2

2

2

2

2

0.43–2.5

2

no = 3.6 + 1.75λ /[λ − (0.256) ] + 4.1λ /[λ − (17.86) ] 2 2 2 2 2 2 ne = 5.35 + 5.08λ /[λ − (18.76) ] + 1.0055λ /[λ − (10.522) ]

<10

2

2

2

2

2

2

2

2

2

2

2

2

2

n = 1 + 1.390λ /[λ − (0.172) ] + 4.131λ /[λ − (0.234) ] + 2.570λ /[λ − (345) ] + 2.056λ /[λ − (27.52) ]

GaSe

no = −0.05466λ + 0.48605λ + 7.8902–0.00824λ –0.00000276λ 2 2 2 2 ne = 6.0476 + 0.3423λ /(λ –0.16491)–0.001042λ

−4

2

−2

2

2

2

2

2

42

2

2

2

2

2

n = 1 + 2.510λ /(λ − 0.01537)

Gd3Sc2Ga3O12

n = 3.743782 + 1.9139566/(43.240392λ − 1) + 0.01067490λ /(0.01558170λ –1)

2

2

2

2

2

2

2

2

2

n = 9.28156 + 6.72880λ /(λ − 0.44105) + 0.21307λ /(λ − 3870.1) 2

2

α−HgS

2

no = 6.9443 + 0.3665/( λ − 0.1351) − 0.0019λ 2 2 2 ne = 8.3917 + 0.5405/( λ − 0.1380) − 0.0027λ 2

2

2

2

2

2

2

n = 11.1 + 0.71λ /[λ − (2.551) ] + 2.75λ /[λ − (44.66) ]

InP

n = 7.255 + 2.316λ /[λ − (0.6263) ] + 2.765λ /[λ − (32.935) ]

2

2

2

2

2

102

0.40–1.06

46

0.54–0.64

47

0.40–1.06

48

2–12 0.62–11

InAs 2

43 44

0.46–1.06

n = 3.749719 + 1.7083005/(39.509089λ − 1) + 0.01048372λ /(0.001855744λ –1) 2

0.8–10 —

Gd3Sc2Al3O12

© 2003 by CRC Press LLC

41

4

nx = 1 + 2.2450λ /( λ − 0.022693) 2 2 2 ny = 1 + 2.24654λ /( λ − 0.0226803) 2 2 2 nz = 1 + 2.41957λ /( λ − 0.0245458)

Gd2(MoO4)3

Ge

39, 116

2

GaP

Gd3Ga5O12

Ref.

49, 120 51

3.7–31.3 2

0.95–10

53, 122

Handbook of Optical Materials

Dispersion formula (wavelength λ in µm)

Material

2

2

nx = 1 + 1/(0.852497 − 0.0087588λ ) 2 2 ny = 1 + 1/(0.972682 − 0.0087757λ ) 2 2 nz = 1 + 1/(1.008157 − 0.0094050λ )

KB5O8•4H2O

0.23–0.76

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

KBr

n = 1.39408 + 0.79221λ /[λ − (0.146) ] + 0.01981λ /[λ − (0.173) ] + 0.15587λ /[λ − (0.187) ] 2 2 2 2 2 2 + 0.17673λ /[λ − (60.61) ] + 2.06217λ /[λ − (87.72) ]

KCl

n = 1.26486 + 0.30523λ /[λ − (0.100) ] + 0.41620λ /[λ − (0.131) ] + 0.18870λ /[λ − (0.162) ] 2 2 2 + 2.6200λ /[λ − (70.42) ]

KF

n = 1.55083 + 0.29162λ /[λ − (0.126) ] + 3.60001λ /[λ − (51.55) ]

2

2

2

2

2

2

2

2

2

2

2

2

KD2PO4

no = 1 + 1.2392348λ /(λ − 0.83531147) + 14.78889λ /(λ –0.8851187) 2 2 2 2 2 ne = 1 + 1.125324λ /(λ − 0.78980364) + 7.124567λ /(λ –1.190864)

KH2AsO4

no = 1 + 1.411981λ /(λ − 1.1955269) + 28.100751λ /(λ − 1.00681) 2 2 2 2 2 ne =1 + 1.260916λ /(λ − 1.1188613) + 5.258787λ /(λ − 1.055210)

KH2PO4

no = 1 + 1.256618λ /(λ − 0.84478168) + 33.89909λ /(λ –1.113904) 2 2 2 2 2 ne = 1 + 1.131091λ /(λ − 0.8145980) + 5.75675λ /(λ –0.8117537)

2

2

2

2

KTaO3

2

2

2

2

2

2

2

2

2

2

2

2

2

2

no = 1 + 3.708λ /(λ − 0.04601) 2 2 2 ne = 1 + 3.349λ /(λ − 0.03564) 2

2

2

2

2

2

2

2

nx = 1 + 2.49710λ /([λ − (0.12909) ] + 1.33660λ /[λ − (0.25816) ] − 0.025174λ 2 2 2 2 2 2 2 2 ny = 1 + 2.54337λ /([λ − (0.13701) ] + 1.44122λ /[λ − (0.27275) ] − 0.028450λ 2 2 2 2 2 2 2 2 nz = 1 + 2.37108λ /([λ − (0.11972) ] + 1.04825λ /[λ − (0.25523) ] − 0.019433λ 2

2

2

2

n = 1 + 3.591λ /([λ − (0.193) ]

0.18–35

35

0.15–22

35

0.4–1.06

2

2

35

0.4–1.06

n = 1.47285 + 0.16512λ /[λ − (0.129) ] + 0.41222λ /[λ − (0.175) ] + 0.44163λ /[λ − (0.187) ] 2 2 2 2 2 2 2 2 2 + 0.16076λ /[λ − (0.219) ] + 0.33571λ /[λ − (69.44) ] + 1.92474λ /[λ − (98.04) ]

K3Li2Nb5O15

KNbO3

2

0.2–40

55, 56

55, 56

0.4–1.06

56

0.25–50

35

0.45–0.68

57

0.40–3.4

59

0.4–1.06

60

Section 1: Crystalline Materials

KI

2

2

54, 121

81

© 2003 by CRC Press LLC

82

Dispersion Formulas for Refractive Indices—continued 2

2

2

Range (µm)

2

2

KTiAsO4

nx = 2.388887 + 0.77900λ /(λ − (0.23784) − 0.01501λ 2 2 2 2 2 ny = 2.11055 + 1.03177λ /[λ − (0.21088) − 0.01064λ 2 2 2 2 2 nz = 2.34723 + 1.10111λ /(λ − (0.24016) − 0.01739λ

KTiOPO4

nx = 2.16747 + 0.83733λ /([λ − (0.04611) ] − 0.01713λ 2 2 2 2 2 ny = 2.19229 + 0.83547λ /([λ − (0.04970) ] − 0.01621λ 2 2 2 2 2 nz = 2.25411 + 1.06543λ /([λ − (0.05486) ] − 0.02140λ

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

nx = 2.45768 + 0.0098877λ /([λ − (0.026095) ] − 0.013847λ 2 2 2 2 2 ny = 2.52500 + 0.017123λ /([λ − (0.0060517) ] − 0.0087838λ 2 2 2 2 2 nz = 2.58488 + 0.012737λ /([λ − (0.016293) ] − 0.016293λ 2

2

2

no = 1.92552 + 0.00492/( λ − 0.00569) − 0.00421λ 2 2 2 ne = 1.92155 + 0.00494/( λ − 0.00617) − 0.00373λ

LiCaAlF6

2

2

2

2

2

2

2

n = 1 + 0.92549λ /[λ − (0.7376) ] + 6.96747λ /[λ − (32.79) ]

LiF 2

2

2

0.45–1.55

58, 91

0.4–1.06

61–64

0.49–0.63

nx = 1 + 2.7990λ /( λ + 0.01875) 2 2 2 ny = 1 + 2.9268λ /( λ − 0.01918) 2 2 2 nz = 1 + 3.0725λ /( λ − 0.01950)

La2Be2O5

© 2003 by CRC Press LLC

2

no = 1 + 1.53763λ /([λ − (0.0881) ] 2 2 2 2 ne = 1 + 1.5148λ /([λ − (0.08781) ]

LaF3

LiIO3

2

no = 1 + 2.235λ /(λ − (0.01734) 2 2 2 ne = 1 + 2.469λ /(λ − (0.017674)

LaCl3

LiB3O5

2

2

2

no = 2.03132 + 1.37623λ /(λ − 0.0350823) + 1.06745λ /(λ − 169.0) 2 2 2 2 2 ne =1.83086 + 1.08807λ /(λ − 0.0313810) + 0.554582λ /(λ − 158.76)

Ref.

65

0.35–0.70

66

0.6–2

67

0.29–1.06

68

0.4–1.0

69

0.1–10

35

0.5–5

71

Handbook of Optical Materials

Dispersion formula (wavelength λ in µm)

Material

2

2

2

2

2

2

2

LiNbO3

no = 2.39198 + 2.51118λ /[λ − (0.217) ] + 7.1333λ /[λ − (16.502) ] 2 2 2 2 2 2 2 ne = 2.32468 + 2.25650λ /[λ − ( 0.210) ] + 14.503λ /[λ − (25.915) ]

LiSrAlF6

no = 1.97673 + 0.00309/( λ − 0.00935) − 0.00828λ 2 2 2 ne = 1.98448 + 0.00235/( λ − 0.10936) − 0.01057λ 2

2

2

2

2

2

2

+ 0.0046614λ

−4

2

2

− 0.0009334λ 2

−6

+ 0.0000737λ

−8

2

2

2

2

2

2

2

no = 1 + 0.48755108λ /[λ − (0.04338408) ] + 0.39875031λ /[λ − (0.09461442) ] + 2.3120353λ /[λ − 2 (23.793604) ] 2 2 2 2 2 2 2 2 2 2 ne = 1 + 0.41344023 /[λ − (0.03684262) ] + 0.50497499λ /[λ − (0.09076162) ] + 2.4904862λ /[λ − (12.771995) ] 2

2

2

2

2

2

2

2

2

2

2

2

n = 1 + 1.111033λ /[λ − (0.0712465) ] + 0.8460085λ /[λ − (0.1375204) ] + 7.808527λ /[λ − (26.89302) ] 2

2

2

2

2

2

2

2

2

2

no = 1 + 1.6346λ /(λ − 0.010734) 2 2 2 ne = 1 + 1.57256λ /(λ − 0.011346) 2

2

2

2

2

2

2

n = 1 + 1.3194λ /[λ − (0.09) ] + 0.2357λ /[λ − (0.2) ]–0.0174λ 2

2

2

2

2

2

2

2

2 2

n = 1.00055 + 0.19800λ /[λ − (0.050) ] + 0.48398λ /[λ − (0.100) ] + 0.38696λ /[λ − (0.128) ] 2 2 2 2 2 2 2 2 2 2 2 2 + 0.25998λ /[λ − (0.158) ] + 0.08796λ /[λ − (40.50) ] + 3.17064λ /[λ − (60.98) ] + 0.30038λ /[λ − (120.34) ] 2

2

2

2

2

2

2

2

2

2

2

2

2

2

n = 1.41572 + 0.32785λ /[λ − (0.117) ] + 3.18248λ /[λ − (40.57) ]

0.4–1.2

73

0.23–2.6

74

0.44–1.2

75

0.35–5.5

50, 76

0.4–3.1

77

0.36–5.4

78

0.21–34

35

0.48–1.06

79

—

2

n = 1 + 1.1825λ /[λ − (0.09) ] + 0.07992λ /[λ − (0.185) ]–0.00864λ

72

2

80

0.2–30

35

0.23–0.72

81

0.15–17

35

Section 1: Crystalline Materials

n = 1.06728 + 1.10463λ /[λ − (0.125) ] + 0.18816λ /[λ − (0.145) ] + 0.00243λ /[λ − (0.176) ] 2 2 2 2 2 2 + 0.24454λ /[λ − (0.188) ] + 3.7960λ /[λ − (74.63) ]

NaBrO3

NaF

−2

2

2

(Na,Ca)(Mg,Fe)3B3Al6Si6(O,OH,F)31 (tourmaline)

NaClO3

2

n = 1 + 1.8938λ /[λ − (0.09942) ] + 3.0755λ /[λ − (15.826) ]

2

NaCl

2

2

MgAl2O4

NaBr

2

n = 3.3275151 − 0.0149248λ + 0.0178355λ

Lu3Al5O12

MgO

2

no = 1.38757 + 0.70757λ /(λ − 0.00931) + 0.18849λ /(λ − 50.99741) 2 2 2 2 2 2 2 ne = 1.31021 + 0.84903λ /(λ − ( 0.00876) + 0.53607λ /(λ − 134.9566)

LiYF4

MgF2

2

2

0.4–3.1

83

© 2003 by CRC Press LLC

84

Dispersion Formulas for Refractive Indices—continued

[NH4] 2CO

2

2

Range (µm)

2

no = 2.1823 + 0.0125λ /(λ − 0.0300) 2 2 2 2 ne = 2.51527 + 0.0240λ /(λ − 0.0300) + 0.020(λ− 1.52)/[(λ − 1.52) + 0.8771 2

2

2

2

2

NH4D2AsO4

no = 1 + 1.418168λ /(λ − 1.2246852) + 24.39162λ /(λ − 1.175687) 2 2 2 2 2 ne = 1 + 1.262661λ /(λ − 1.1728953) + 6.250606λ /(λ − 0.9188848)

NH4H2AsO4

no = 1 + 1.441185λ /(λ − 1.2290244) + 30.08674λ /(λ − 0.8843874) 2 2 2 2 2 ne = 1 + 1.274199λ /(λ − 1.1750136) + 11.96164λ /(λ − 1.041567)

NH4H2PO4

no = 1 + 1.298990λ /(λ − 0.0089232927) + 43.17364λ /(λ − 1188.531) 2 2 2 2 2 ne = 1 + 1.162166λ /(λ − 0.085932421) + 12.01997λ /(λ − 831.8239)

PbMoO4

2

2

2

2

2

2

2

2

2

2

PbTiO3

© 2003 by CRC Press LLC

2

2

2

2

2

2

2

2

2

2

2

2

2

2

no = 1 + 3.54642λ /[λ − (0.18518) ] + 0.582703λ /[λ − (0.33764) ] 2 2 2 2 2 2 2 ne = 1 + 3.52555λ /[λ − ( 0.17950) ] + 0.20660λ /[λ − (0.32537) ] 2

2

2]

nx = 1 + 4.124λ /[(λ − (0.202) 2 2 2] 2 ny = 1 + 4.139λ /[λ − (0.2011) 2 2 2] 2 nz = 1 + 4.246λ /([λ − (0.2014) 2

PbTe

2

2

2

PbSe

2

2

n = 1 + 0.66959342λ /[λ − (0.00034911) ] + 1.3086319λ /[λ − (0.17144455) ] 2 2 2 2 2 2 + 0.01670641λ /[λ − (0.28125513) ] + 2007.8865λ /[λ − (796.67469) ]

PbNb4O11

PbS

2

n = 1.478 + 1.532λ /[λ − (0.170) ] +4.27λ /[λ − (86.21) ]

NaI PbF2

2

2

2

2

2

2

2

2

n = 1 + 15.9λ /([λ − (0.77) ] + 133.2λ /([λ − (141) ] 2

2

2

2

n = 1 + 21.1λ /([λ − (1.37) ] 2

2

2

2

2

2

2

n = 1 + 30.046λ /([λ − (1.563) ] 2

no = 1 + 5.363λ /([λ − (0.224) ]

Ref.

0.3–1.06

82

0.4–1.06

55, 56

0.4–1.06

55, 56

0.4–1.06

55, 56

0.25–17

35

0.3–11.9

83

0.44–1.08

50, 84

0.45–1.55

85

3.5–10

86

5–10

86

4.0–12.5

87

0.45–1.15

Handbook of Optical Materials

Dispersion formula (wavelength λ in µm)

Material

2

2

2

2

ne = 1 + 5.366λ /([λ − (0.0217) ] 2

2

2

2

2

2

2

2

2

2

RbD2AsO4

no = 1 + 1.371661λ /(λ − 1.1700309) + 16.30710λ /(λ − 1.0114844) 2 2 2 2 2 ne = 1 + 1.269201λ /(λ − 1.1202311) + 4.300136λ /(λ − 1.149464)

RbD2PO4

no = 1 + 1.237455λ /(λ − 0.8274984) + 17.69334λ /(λ − 0.8839832) 2 2 2 2 2 ne = 1 + 1.154309λ /(λ − 0.81539261) + 585751λ /(λ − 0.8927180)

RbH2AsO4

no = 1 + 1.37723λ /(λ − 0.01301) 2 2 2 ne = 1 + 1.272831λ /(λ − 0.01157)

RbH2PO4

no = 1 + 1.2068λ /(λ − 0.01539) 2 2 2 ne = 1 + 1.15123λ /(λ − 0.010048)

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

RbTiOPO4

nx = 2.38494 + 0.73603λ /([λ − (0.23891) ] − 0.01583λ 2 2 2 2 2 ny = 2.15559 + 0.93307λ /[λ − (0.20994) ] − 0.01452λ 2 2 2 2 2 nz = 2.27723 + 1.11030λ /([λ − (0.23454) ] − 0.01995λ

Se

no = 2.790; ne = 3.608 @ 1.06 µm no = 2.64; ne = 3.41 @ 10.6 µm

Si

n = 1 + 10.66842933λ /[λ − (0.3015116485) ] + 0.003043475λ /[λ − (1.13475115) ] 2 2 2 + 1.54133408λ /[λ − (1104.0) ]

2

2

2

2

2

2

2

2

α-SiC

no = 1 + 5.5515λ /([λ − (0.16250) ] 2 2 2 2 ne = 1 + 5.7382λ /([λ − (0.16897) ]

β-SiC

n = 1 + 5.5705λ /([λ − (0.1635) ]

2

55, 56

2

2

89

0.48–1.06

90

0.45–1.55

91

0.45–1.55

91

—

2

2

0.4–1.06

1.36–11

92

93, 94

0.49–1.06

95

0.47–0.69

96

Section 1: Crystalline Materials

nx = 1.97756 + 1.25726λ /[(λ − (0.20448) ] − 0.00865λ 2 2 2 2 2 ny = 2.22681 + 0.99616λ /[λ − (0.21423) ] − 0.01369λ 2 2 2 2 2 nz = 2.28779 + 1.20629λ /([λ − (0.23484) ] − 0.01583λ

2

55, 56

—

RbTiOAsO4

2

0.4–1.06

85

© 2003 by CRC Press LLC

86

Dispersion Formulas for Refractive Indices—continued

SiO2 (α-quartz)

SrF2

2

2

2

2

2

2

Range (µm)

2

2

2

2

no = 1 + 0.663044λ /[λ − (0.060) ] + 0.517852λ /[λ − (0.106) ] + 0.175912λ /[λ − (0.119) ] 2 2 2 2 2 2 + 0.565380λ /[λ − (8.844) ] + 1.675299λ /[λ − (20.742) ] 2 2 2 2 2 2 2 2 2 2 ne = 1 + 0.665721λ /[λ − (0.060) ] + 0.503511λ /[λ − (0.106) ] + 0.214792λ /[λ − (0.119) ] 2 2 2 2 2 2 + 0.539173λ /[λ − (8.792) ] + 1.807613λ /[λ − (197.709) ] 2

2

2

2

2

2

2

n = 1 + 0.67805894λ /[λ − (0.05628989) ] + 0.37140533λ /[λ − (0.10801027) ] 2 2 2 + 3.8484723λ /[λ − (34.649040) ] 2

2

2

2

2

2

2

SrMoO4

no = 1 + 2.4839λ /[λ − (0.1451) ] + 0.1015λ /[λ − (4.603) ] 2 2 2 2 2 2 2 ne = 1 + 2.4923λ /[λ − ( 0.1488) ] + 0.1050λ /[λ − (4.544) ]

SrTiO3

n = 2.28355 + 0.035906/(λ – 0.028) + 0.001666/(λ − 0.028) − 0.0061335λ − 00001502λ

2

2

2

2

2

2

2

Sr5(VO4)3F

no = 3.29417 + 0.047212/( λ − 0.048260) − 0.008518λ 2 2 2 ne = 3.24213 + 0.043872/( λ − 0.053139) − 0.008773λ

Tb2(MoO4)3

nx = 1 + 2.273955λ /(λ − 0.02333) 2 2 2 ny = 1 + 2.2724λ /(λ − 0.023359) 2 2 2 nz = 1 + 2.4430166λ /[λ − 0.05133)

Te

2

2

2

2

2

2

2

2

2

2

2

2

2

no = 18.5346 + 4.3289λ /(λ − 3.9810) + 3.7800λ /(λ − 11813) 2 2 2 2 2 ne = 29.5222 + 9.3068λ /(λ − 2.5766) + 9.2350λ /(λ − 13521) no = 4.0164 + 18.8133λ /(λ − 1.1572) + 7.3729λ /(λ − 10000) 2 2 2 2 2 ne = 1.9041 + 36.8133λ /(λ –1.0803) + 6.2456λ /(λ − 10000) 2

2

2

2

2

2

2

TeO2

no = 1 + 2.584λ /[λ − (0.1342) ] + 1.157λ /[λ − (0.2638) ] 2 2 2 2 2 2 2 ne = 1 + 2.823λ /[λ − ( 0.1342) ] + 1.542λ /[λ − (0.2631) ]

TiO2

no = 5.913 + 0.2441λ /(λ − 0.0803)

© 2003 by CRC Press LLC

2

2

2

4

Ref.

0.18–0.71

97

0.21–11.5

98

0.45–2.4

30

0.4–5.4

99

0.5–1.0

100

0.46–1.06

101

4–14

8

8.5–30

8

0.4–1

103

0.43–1.5

104

Handbook of Optical Materials

Dispersion formula (wavelength λ in µm)

Material

2

2

2

2

Tl3AsSe3

2

2

2

n = 1 + 3.821λ /[λ − (0.02234) ] − 0.000877λ

Tl[Br,Cl]

TlCl

2

(n − 1)/(n − 2) = 0.48484 + 0.10279/(λ − 0.090000) − 0.0047896λ

TlBr

Tl[Br,I]

2

2

ne =7.097 + 0.3322λ /(λ − 0.0843)

rutile

2

2

2

2

2

2

0.54–0.65

2

2

2

2

2

n = 1 + 1.8293958λ /[λ − (0.150) ] + 1.6675593λ /[λ − (0.250) ] + 1.1210424λ /[λ − (0.350) ] 2 2 2 2 2 2 + 0.04513366λ /[λ − (0.450) ] + 12.380234λ /[λ − (164.59) ] 2

2

2

(n − 1)/(n − 2) = 0.47856 + 0.078588/(λ − 0.08277) − 0.00881λ 2

2

2

2

2

2

2

2

no = 1 + 10.210λ /[λ − (0.444) ] + 0.522λ /[λ − (25.0) ] 2 2 2 2 2 2 2 ne = 1 + 8.933λ /[λ − ( 0.444) ] + 0.308λ /[λ − (25.0) ] 2

2

2

2

2

2

2

n = 1 + 2.578λ /[λ − (0.1387) ] + 3.935λ /[λ − (22.936) ]

Y2 O3

2

2

2

nx = 1 + 2.61960λ /( λ + 0.012338) 2 2 2 ny = 1 + 2.67171λ /( λ − 0.012605) 2 2 2 nz = 1 + 2.70381λ /( λ − 0.012903)

Y2SiO5

nx = 3.0895 + 0.0334/( λ + 0.0043) + 0.0199λ 2 2 ny = 3.1173 + 0.0283/( λ − 0.0313) 2 2 nz = 3.1871 + 0.03022/( λ − 0.138)

YVO4

no = 1 + 2.7665λ /(λ − 0.026884) 2 2 2 ne = 1 + 3.5930λ /(λ − 0.032103)

2

2

2

2

2

2

2

2

2

2

2

2

2

n = 1 + 2.293λ /[λ − (0.1095) ] + 3.705λ /[λ − (17.825) ] 2

2

2

Y3Ga5O12

n = 1 + 2.5297λ /(λ − 0.019694)

Y3Sc2Al3O12

n = 1 + 2.4118λ /(λ − 0.01477)

2

2

2

6

0.6–24

106

0.58–39.4

107

0.43–0.66

105

2–12

108

0.2–12

109

0.4–1.06

110

0.44–0.64

111

0.5–1.06

112, 113

0.4– 4.0

30

0.46–0.63

48

0.53–0.65

115

Section 1: Crystalline Materials

YAlO3

Y3Al5O12

2

87

© 2003 by CRC Press LLC

88

Dispersion Formulas for Refractive Indices—continued 2

2

2

2

Range (µm) 2

no = 4.4733 + 5.2658λ /(λ − 0.1338) + 1.49090λ /(λ − 662.55) 2 2 2 2 2 ne = 4.6332 + 5.3422λ /(λ − 0.1426) + 1.4580λ /(λ − 662.55)

ZnGeP2

2

2

2

2

2

no = 2.81419 + 0.87968λ /([ λ − (0.00569) ] − 0.00711λ 2 2 2 2 2 ne = 2.80333 + 0.94470λ /([ λ − (0.3004) ] − 0.00714λ

ZnO

2

2

2

2

α−ZnS

no = 4.4175 + 1.73968λ /([ λ − (0.2677) ] 2 2 2 2 ne = 4.42643 + 1.7491λ /([ λ − (0.2674) ]

β−ZnS

n = 1 + 0.3390426λ /([ λ − (0.31423026) ] + 3.7606868λ /([ λ − (0.1759417) ] 2 2 2 + 2.7312353λ /([ λ − (33.886560) ]

ZnSe

n = 1 + 4.2980149λ /([ λ − (0.1920630) ] + 0.62776557λ /([ λ − (0.37878260) ] 2 2 2 + 2.8955633λ /([ λ − (46.994595) ]

ZnTe

n = 9.921 + 0.42530λ /([ λ − (0.37766) ] + 2.63580/([λ /(56.5) − 1]

ZrO2: 12%Y2O3

© 2003 by CRC Press LLC

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

n = 1 + 1.347091λ /([ λ − (0.062543) ] + 2.117788λ /([ λ − (0.166739) ] + 9.452943λ /([ λ − (24.320570) ]

Ref.

0.4–12

40

0.45–4.0

30

0.36–1.4

50, 105

0.55–10.5

98

0.55–18

98

0.55–30

114

0.36–5.1

116

Handbook of Optical Materials

Dispersion formula (wavelength λ in µm)

Material

Section 1: Crystalline Materials

89

References: 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26.

Singh, S., Nonlinear optical materials, Handbook of Laser Science and Technology, Vol. III: Optical Materials, Part 1 (CRC Press, Boca Raton, FL. 1986), p. 54. DeShazer, L. G., Rand, S. C., and Wechsler, B. A., Laser crystals, Handbook of Laser Science and Technology, Vol. V: Optical Materials, Part 3 (CRC Press, Boca Raton, FL, 2000), p. 281. Singh, S., Nonlinear optical materials, Handbook of Laser Science and Technology, Suppl. 2: Optical Materials (CRC Press, Boca Raton, FL. 1995), p. 237. Wechsler, B. A. and Sumida, D. S., Laser crystals, Handbook of Laser Science and Technology, Suppl. 2: Optical Materials (CRC Press, Boca Raton, FL, 1995), p. 595. Hulme, K. F., Jones, O., Davies, P. H., and Hobden, M.V., Synthetic proustile (Ag3AsS3); a new crystal for optical mixing, Appl. Phys. Lett. 10, 133 (1967) Schröter, H., On the refractive indices of some heavy metal halides in the visible and calculation of interpolation formulas for dispersion, Z. Phys. 67, 24 (1931). Tilton, L. W., Plyler, E. K., and Stephens, R. E., Refractive index of silver chloride for visible and infrared radiant energy, J. Opt. Soc. Am. 66, 72 (1976). Bhar, G. C., Refractive index interpolation in phase matching,. Appl.Opt.15, 305 (1976). Levine, B. F., Nordland, W. A., and Silver, J. W., Nonlinear optical susceptibility of AgI, IEEE J. Quantum Electron. QE-9, 468 (1973). Feichtner, J. D., Johannes, R. and Roland, G. W., Growth and optical properties of single crystal pyragyrite (Ag3SbS3), Appl. Opt. 9, 1716 (1970). Fern, R. E. and Onton, A., Refractive index of AlAs. J. Appl. Phys. 42, 3499 (1971). Pastrnak and Roslovcova, L., Refractive index measurements on AlN single crystals. Phys. Stat. Sol. 14, K8 (1966). Malitson, I. H. and Dodge, M. J., Refractive index and birefringence of synthetic sapphire, J. Opt. Soc. Am. 62, 1405 (1972). Tropf, W. J. and Thomas, M. E., Aluminum oxynitride (ALON) spinel, Handbook of Optical Constants of Solids II, Palik, E. D., Ed. (Academic Press, Orlando, FL, 1991), p. 775. Eimerl, D., Davis, L., and Velsko, S., Optical, mechanical, and thermal properties of barium borate, J. Appl. Phys. 62, 1968 (1987). Malitson, I. H., Refractive properties of barium fluoride, J. Opt. Soc. Am. 54, 628 (1964). Wemple, S. H., DiDomenico, M., and Camlibel, I., Dielectric and optical properties of meltgrown BaTiO3, J. Phys. Chem. Solids 29, 1797 (1968). Bechhold, P. S. and Haussühl, S., Nonlinear optical properties of orthorhombic barium formate and magnesium barium fluoride, Appl. Phys. 14, 403 (1977). Singh, S., Draegert, D. A., and Geusic, J. E., Optical and ferroelectric of barium sodium niobate, Phys. Rev. B 2, 2709 (1970). Potopowicz, J. R., Temperature dependence of the refractive indices of barium sodium niobate (unpublished). Singh, S. and Pawelek, R. (unpublished). Vedam, K. and Hennessey, P., Piezo- and thermal-optical properties of Bi12GeO20, J. Opt. Soc. Am., 65, 442 (1975). Gospodnov, M., Haussühl, S., Seveshtarov, P., Tassev, V., and Petkov, N., Physical properties of cubic Bi12SiO20, Bulgarian J. Phys. 15, 140 (1988). Wettling, W. and Windscheif, J., Elastic constants and refractive index of boron phosphide, Solid State Commun., 50, 33 (1854). Feldman, A. and Horowitz, D., Refractive index of cuprous chloride, J. Opt. Soc. Am. 59, 1406 (1969). Burshtein, Z., Shimony, Y., and Levy, I., Refractive-index anisotropy and dispersion in gehlenite, Ca2Al2SiO7, between 308 and 1064 nm, J. Opt. Soc. Am. A 10, 2246 (1993).

© 2003 by CRC Press LLC

90

Handbook of Optical Materials

27.

Payne, S. A., Smith, L. K., DeLoach, L. D., Kway, W. L., Tassano, J. B., and Krupke, W. F., Laser, optical, and thermomechanical properties of Yb-doped fluorapatite, IEEE J. Quantum Electron. 30, 170–179 (1994). Gray, D. E., (Ed.), American Institute of Physics Handbook, 3rd ed. (McGraw-Hill, New York, 1972). Peter, F., Refractive indices and absorption coefficients of diamond between 644 and 226 micrometers, Z. Phys. 15, 358 (1923). Bond, W. L., Measurement of the refractive index of several crystals, J. Appl. Phys. 36, 1674 (1965). Boyd, G. D., Buehler, E., Stroz, F. G., and Wernick, J. H., Linear and nonlinear optical II IV V properties of ternary A B C2 chalcopyrite semiconductors, IEEE J. Quantum Electron. QE8, 419 (1972). Burattine, E., Cappuccio, G., Grandolfo, M., Vecchia, P., and Efendiev, Sh. M., Near-infrared refractive index of bismuth germanium oxide (Bi12GeO20), J. Opt. Soc. Am., 73, 495 (1983). DeBell, A. G., Dereniak, E. L., Harvey, J., et al., Cryogenic refractive indices and temperature coefficients of cadmium telluride from 6 µm to 22 µm, Appl. Opt. 18, 3114 (1979). Rodney, W. S. and Spindler, R. J., Refractive index of cesium bromide for ultraviolet, J. Nat. Bur. Stand. 51, 123 (1953). Li, H. H., Refractive index of alkali halides and its wavelength and temperature derivatives, J Phys. Chem. Ref. Data 5, 329 (1976). Kato, K., Second harmonic generation in CDA and CD*A, IEEE J. Quantum Electron. QE-10, 616 (1974). Rodney, W. S., Optical properties of cesium chloride, J. Opt. Soc. Am. 45, 987 (1955). Edwards, D. F. and White, R. H., Beryllium oxide, Handbook of Optical Constants of Solids II, Palik, E. D. (Ed., (Academic Press, Orlando, 1991), p. 805. Boyd, G. D., Kasper, H., and McFee, J. H., Linear and nonlinear optical properties of AgGaS3, CuGaS3, and CuInS3, IEEE J. Quantum Electron. QE-7, 563 (1971). Bhar, G. C. and Ghosh, G., Termperature-dependent Sellmeier coefficients and coherence lengths for some chalcopyrite crystals, J. Opt. Soc. Am. 69, 730 (1979). Kachare, A. H., Spitzer, W. G., and Fredrickson, J. E., Refractive index of ion-implanted GaAs, J. Appl. Phys. 47, 4209 (1976). Barker, A. S. and Hegems, M., Infrared lattice vibrations and free-electron dispersion in GaN, Phys. Rev. B 7, 743 (197). Parsons, D. F. and Coleman, P. D., Far infrared optical constants of gallium phosphide, Appl. Opt. 10, 1683 (1971). Abdullaev, G. B.,Kulevskii, L. A., Prokhorov, A. M., et al., a new effective material for nonlinear optics, JETP Lett. 16, 90 (1972). Malitson, I. H., A redetermination of some optical properties of calcium fluoride, Appl. Opt. 2, 1103 (1963). Hoefer, C. S., Kirby, K. W., and DeShazer, L. G., Therno-optic properties of gadolinium garnet laser crystals, J. Opt. Soc. Am. (1985). Wemple, S. H., and Tabor, W. J., Refractive index behavior of garnets, J. Appl. Phys. 44, 1395–1396 (1973). Wang, H. L., Diamagnetic Faraday Effects in the Garnets YAG, YGG, and GGG, Ph.D. dissertation, University of Southern California, Los Angeles (1975). Barnes, N. P. and Piltch, M. S., Temperature-dependent Sellmeier coefficients and nonlinear optics average power limit for germanium, J. Opt. Soc. Am. 69, 178 (1979). Tropf, W. J., Thomas, M. F., and Harris, T. J., Properties of crystals and glasses, Handbook of Optics, Vol. 2 (McGraw-Hill, New York, 1995), p. 33.61. Bond, W. L., Boyd, G. D. and Carter, H. L., Jr., Refractive indices of HgS (cinnabar)between 0.62 and 11 µ, J. Appl. Phys. 38, 4090 (1967).

28. 29. 30. 31.

32. 33. 34. 35. 36. 37. 38. 39. 40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50. 51.

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Section 1: Crystalline Materials 52. 53. 54. 55. 56. 57.

58. 59. 60. 61. 62. 63.

64.

65. 66. 67. 68. 69.

70. 71. 72. 73.

74.

91

Lorimor, O. G. and Spitzer, W. G., Infrared refractive index and absorption of InAs and CdTe, IEEE J. Quantum Electron. QE-9, 468 (1973). Pettit, G. D. and Turner, W. J., Refractive index of InP, J. Appl. Phys. 36, 2081 (1965). Dewey, C. F., Cook, W. R., Hodgson, R. T. and Wynne, J. J., Frequency doubling in KB5O8•4H2O and NH4B5O8•4H2O to 217.3 nm, Appl. Phys. Lett. 26, 714 (1975). Eimerl, D., Electro optic, linear, and non-linear optical properties of KDP and its isomorphs, Ferroelectrics. 72, 95 (1987) Kirby, K.W., and Deshazer, L.G., Refractive indices of 14 nonlinear crystals isomorphic to KH2PO4, J. Opt. Soc. Am. B4, 1072 (1987). Van Uitert, L. G., Singh, S., Levinstein, H. J., Geusic, J. E., and Bonner, J. R., A new and stable nonlinear optical material, Appl. Phys. Lett. 11, 161 (1967); Van Uitert, L. G., et al., Errata, Appl. Phys. Lett. 12, 224 (1968). Bierlein, J.D., Vanherzeele, H., and Ballman, A.A., Linear and nonlinear optical properties of flux grown KTiOAsO4, Appl. Phys. Lett. 54, 783 (1989). Zysset, B., Biaggio, I., and Gunter, P., Refractive indices of orthorhombic KNbO3 I: dispersion and temperature dependence. J. Opt. Soc. Am. B9, 380 (1992). Fujii, Y. and Sakudo, T., Dielectric and optical properties of KTaO3, J. Phys. Soc. Japan 41, 888 (1976). Bierlein, J. D., Vanherzeele, H., Potassium titanyl phosphate: properties and new applications, J. Opt. Soc. Am. B6, 622 (1989). Vanherzeele, H., Bierlein, J. D., Magnitude of the nonlinear optical coefficients of KTiOPO4, Opt. Lett. 17, 982 (1992). Fan, T.Y., Huang, C.E., Hu, B.Q., Eckardt, R.C., Fan, Y.X., Byer, R., and Feigelson, R.S., Second harmonic generation and accurate index of refraction measurements in flux-grown KTiOPO4, Appl. Opt. 26, 2390 (1987). Shen, H.Y., Zhou, Y.P., Lin, W.X., Zeng Z.D., Zeng, R.R., Yu, G.F., Huang, C.H., Jiang, A.D., Jia, S.Q., and Shen, D.Z., Second harmonic generation and sum frequency mixing of dual wavelength Nd: YAlO3 laser in flux grown KTiOPO4 crystals, IEEE J. Quantum Electron. 28, 48 (1992). LaFrance, T. S., Magnetic dipole radiation in crystals, Ph.D. dissertation, University of Southern California, Los Angeles (1970). Laiho, R. and Lakkisto, M., Investigation of the refractive indices of LaF3, CeF3, PrF3, and NdF3, Phil. Mag. B 48. 203 (1983). Jenssen, H. P., Begley, R. F., Webb, R., and Morris, R. C., Spectroscopic properties and laser 3+ performance of Nd in lanthanum beryllate, J. Appl. Phys. 47, 1496 (1976). Hanson, F. and Dick, D., Blue parametric generation from temperature-tuned LiB3O5, Opt.Lett. 16, 205 91991). Woods, B. W., Payne, S. A., Marion, J. E., Hughes, R. S., and Davis, L. E., Thermomechanical and thermo-optical properties of the LiCaAlF6:Cr3+ laser material, J. Opt. Soc. Am. B 8, 970 (1991). Chen, C., Wu, Y., Jiang, A. et al., J. Opt. Soc. Am. B 6, 6166 (1989). Choy, M. M. and Byer, R. L., Accurate second-order susceptibility measurements of visible and infrared nonlinear crystals, Phys. Rev. B 14, 1693 (1976). Nelson, D. F. and Mikulyak, R. M., Refractive indices of conguently melting lithium niobate, J. Appl. Phys. 45, 3688 (1974). Perry, M. D., Payne, S. A., Ditmire, T., Beach, R., Quarles, G. J., Ignatuk, W., Olson, R., and Weston, J., Better materials trigger Cr:LISAF laser development, Laser Focus World, 85, (September 1993). Barnes, N. P. and Gettemy, D. J., Temperature variation of the refractive indices of yttrium lithium fluoride, J. Opt. Soc. Am. 70, 1214 (1980).

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Handbook of Optical Materials

75.

Ovanesyan, K. L., Petrosyan, A. G., Shirinyan, G. O., and Avetisyan, A. A., Optical dispersion and thermal expansion of garnets, Izv. Akad. Nauk SSSR Neorg. Mater. 17(3), 459–462 (1981 (trans. in Inorg. Mater. 17(3), 308–310 (1981). Tropf, W. J. and Thomas, M. E., Magnesium aluminum spinel (MgAl2O4) spinel, Handbook of Optical Constants of Solids II, Palik, E. D., Ed.. (Academic Press, Orlando, FL, 1991), p. 881. Dodge, M. J., Refractive properties of magnesium fluoride, Appl. Opt. 23, 1980 (1984). Stephens, R. E. and Malitson, I. H., Index of refraction of magnesium oxide, J. Nat. Bur. Stand. 49, 249 (1952). Singh, S., Potopowicz, J. R., and Pawelek, R., Second harmonic properties of tourmaline (unpublished). Chandrasekhar, S. and Madhav, M. S., Optical rotary dispersion of crystals of sodium chlorate and sodium bromate, Acta Crystallogr. 23, 911 (1967). Chandrasekhar, S., Optical rotary dispersion of crystals, Proc. Royal Soc. A259, 531 (1961). Rosker, M. J., Cheng, K., and Tang, C. L., Practical urea optical parametric oscillator for tunable generation throughout the visible and near-infrared, IEEE J. Quantum Electron. QE-21, 1600 (1985). Malitson, I. H. and Dodge, M. J., Refraction and dispersion of lead fluoride, J. Opt. Soc. Am. 59, 500A (1969). Malitson, I. H., quoted by Wolfe, W. L., in Handbook of Optics, (McGraw-Hill, New York, 1978). Singh, S., Bonner, W. A., Potopowicz, J. R., and Van Uitert, L. G., Nonlinear optical properties of lead niobate, Electrochem. Soc. Meeting, Los Angeles, May 1970; Miller, R. C. (private communication). Zemel, J. N., Jensen, J. D., and Schoolar, R. B., Electrical and optical properties of epitaxial films of PbS, PbSe, PbTe, and SnTe, Phys. Rev. 140A, 330 (1965). Weiting, F. and Yixun, Y., Temperature effects on the refractive index of lead telluride and zinc sulfide, Infrared Phys. 30, 371 (1990). Singh, S., Remeika, J. P., and Potopowicz, J. R., Nonlinear optical properties of ferroelectric lead titanate, Appl. Phys. Lett. 20, 135 (1972). Barnes, N. P. Gettemy, D. J., and Adhav, R. S., Variation of the refractive index with temperature and the tuning rate for KDP isomorphs, J. Opt. Soc. Am. 72, 895 (1982). Singh, S., Potopowicz, J. R., Bonner, W. A., and Van Uitert, L. G., Nonlinear optical properties of rubidium dihydrogen phosphate (unpublished). Cheng, L.T., Cheng, L.K., and Bierlein, J.D., Linear and nonlinear optical properties of the arsenate isomorphs of KTP, Proc. SPIE 1863 (1993). Gample, L, and Johnson, F. M., Index of refraction of single-crystal selenium, J. Opt. Soc. Am. 59, 72 (1969) Taitian, B., Fitting refractive index data with the Sellmeier dispersion formula, Appl. Opt. 23, 4477 (1984). Edwards, D. F. and Ochoa, E., Infrared refractive index of silicon, Appl. Opt. 19, 4130 (1980). Singh, S., Potopowicz, J. R., Van Uitert, L. G., and Wemple, S. H., Nonlinear optical properties of hexagonal silicon carbide, Appl. Phys. Lett. 19, 53 (1971). Schaffer, P. T. B., Refractive index, dispersion, and birefringence of silicon carbide polytypes, Appl. Opt. 10, 1034 (1971). Radhakrishnan, T., Further studies on the temperature variation of the refractive index of crystals, Proc. Indian Acad. Sci., A33, 22 (1951). Feldman, A., Horowitz, D., Walker, R.M., and Dodge, M. J., Optical Materials Characterization Final Report, February 1, 1978–September 30, 1978, NBS Technical Note 993, February 1979. Driscoll, W. G. and Vaughan, W., Eds. Handbook of Optics, Optical Society of America, (McGraw-Hill, New York, 1978), p. 7.

76. 77. 78. 79. 80. 81. 82.

83. 84. 85.

86. 87. 88. 89. 90. 91. 92. 93. 94. 95. 96. 97. 98. 99.

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Section 1: Crystalline Materials

93

100. Payne, S. A., Smith, L. K., Beach, R. J., Chai, B. H. T., Tassano, DeLoach, L. D., Kway, W. L., Solarz, R. W., and Krupke, W. F., Properties of Cr:LiSrAlF6 crystals for laser operation, Appl. Opt. 33, 20 (1994). 101. Singh, S., Potopowicz, J. R., Bonner, W. A., and Van Uitert, L. G. (unpublished). 102. Singh, S., Potopowicz, J. R., Bonner, W. A., and Van Uitert, L. G., Handbook of Lasers, Pressley, R. J., Ed. (Chemical Rubber Co, Cleveland, 1971), p. 511. 103. Uchida, N., Optical properties of single crystal paratellurite (TeO2), Phys. Rev. B 4, 3736 (1971). 104. DeVore,J. R., Refractive index of rutile and sphalerite, J. Opt. Soc. Am. 41, 416 (1951). 105. Bieniewski, T. M. and Czyzak, S. J., Refractive indexes of single hexagonal ZnS and CdS crystals. J. Opt. Soc. Am. 53, 496 (1963). 106. Hettner, G. and Leisegang, G., Dispersion of the mixed crystals TlBr-TlI (KRS-5) and TlClTlBr (KRS-6) in the infrared, Optik 3, 305 (1948). 107. Rodney, W. S. and Malitson, I. H., Refraction and dispersion of thallium bromide iodide, J. Opt. Soc. Am. 46, 956 (1956). 108. Ewbank, M. D., Newman, P. R., Moat, N. L., et al., The temperature dependence of optical and mechanical properties of Tl3AsSe3, J . Appl. Phys. 51, 3848 (1980) and Appl.Opt. 11, 993 (1972). 109. Nigara, Y., Measurement of the optical constants of yttrium oxide, Jap. J. Appl. Phys. 7. 404 (1968). 110. Martin, K. W. and DeShazer, L. G., Indices of refraction of the biaxial crystal YAlO3, Appl. Opt. 12, 941 (1973). 111. Beach, R., Shinn, M. D., Davis, L., Solarz, R. W., and Krupke, W. F., Optical absorption and stimulated emission of neodymium in yttrium orthosilicate, IEEE J. Quantum Electron. 26(8), 1405–1412 (1990). 112. Maunder, E. A. and DeShazer, L. G., Use of yttrium orthovanadate for polarizers, J. Opt. Soc. Am. 61, 684A (1971). 113. Lomheim, T. S. and DeShazer, L. G., Optical absorption intensities of trivalent neodymium in the uniaxial crystal yttrium orthovanadate, J. Appl. Phys. 49, 5517 (1978). 114. Li, H. H., Refractive index of ZnS, ZnSe, and ZnTe and its wavelength and temperature derivatives, J. Phys. Chem. Ref. Data 13, 103 (1984). 115. Duncanson, A. and Stevenson, R. W. H., Proc. Phys. Soc. 72, 1001 (1958). 116. Wood, D. L. and Nassau, K., Refractive index of cubic zirconia stabilized with yttria, Appl.Opt. 21, 2978 (1982). 117. Wu, Y., Sasaka, T., Nakai, S., et al., CsB3O5: A new nonlinear optical crystal, Appl. Phys. Lett. 62, 24 (1993). 118. Producer’s literature. 119. Dodge, M. J., Refractive index, Handbook of Laser Science and Technology,VoL. IV: Optical Materials, Part 2 (CRC Press, Boca Raton, FL, 1986), p. 21. 120. Icenogle, H. W., Platt, B. C., and Wolfe, W. L., Refractive indexes and temperature coefficients of germanium and silicon, Appl. Opt. 15, 2348 (1976). 121. Cook, W. R., and Hubby, L. M., Indices of refraction of potassium pentaborate, J. Opt. Soc. Am. 66, 72 (1976). 122. Pikhtin, A. N. and Yas’kov, A. D., Dispersion of the refractive index of semiconductors with diamond and zinc-blende structures, Sov. Phys. Semicond. 12, 622 (1978).

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Section 1: Crystalline Materials 1.3.5 Thermooptic Coefficients Thermooptic Coefficients Material

Wavelength (nm)

–6

dn/dt (10 /K)

Temperature (K)

Ref.

AgBr

3390 10600

–61 –50

RT RT

1 1

AgCl

610 633 3390 10600

–61 –61 –58 –35

298 RT RT RT

4 1 1 1

258 (o) 255 (e) 176 (o) 179 (e) 154 (o) 155 (e) 153 (o) 155 (e)

RT RT RT RT RT RT RT RT

1 1 1 1 5 5 1 1

633

98 (o) 66 (e) 74 (o) 43 (e) 58 (o) 46 (e) 1.8 (o) 1.9 (e) 11.7 (o) 12.8 (e) 15.4 (o) 16.9 (e) 13.6 (o) 14.7 (e) 12.6

RT RT RT RT RT RT 93 93 293 293 473 473 RT RT RT

5 5 5 5 5 5 4 4 4 4 4 4 1 1 1

Al23O27N5

633

11.7

RT

1

BaB2O4

404.7

–16.4 (o) –9.4 (e) –16.6 (o) –9.8 (e) –16.8 (o) –8.8 (e)

RT RT RT RT RT RT

1 1 1 1 1 1

–7.8 –15.6

90 293

4 4

AgGaS2

600 1000 3390 10000

AgGaSe2

1064 3390 10600

Al2O3

457.9

589

579 1014

BaF2

© 2003 by CRC Press LLC

457.9

94

Section 1: Crystalline Materials

Thermooptic Coefficients—continued Material

Wavelength (nm)

BaF2 632.8 1150

3390 10600

Ba2NaNb5O15

1064

BeAl2O4

1064

BeO

458 633 1064

Bi12GeO20

C (diamond)

CaCO3

–15.6 –18.8 –16.3 –8.1 –16.2 –19.3 –15.9 –7.3 –14.5 –17.5 –25 (y) 80 (z)

293 473 313 90 293 473 RT 90 293 473 RT

8

300

8.2 (o) 13.4 (e) 8.2 (o) 13.4 (e) 8.18 (o) 13.40 (e)

Ref. 4 4 2 4 4 4 1 4 4 4 5 5

RT RT RT RT RT RT

1 1 1 1 5 5

–34.5 –34.9

RT RT

1 1

546 587 30000

10.1 10 9.6

RT 300 RT

1 4 1

21.5 (o 22.0 (e) 3.6 (o) 14.4 (e) 3.2 (o 13.2 (e) 3.2 (o) 13.1 (e) 2.1 (o) 11.9 (e)

334 334 RT RT 334 334 RT RT RT RT

4 4 1 1 4 4 1 1 1 1

RT

1

93

4

293

4

473

4

313

2

211

441 458 633

254 457.9

632.8 663 1150

© 2003 by CRC Press LLC

Temperature (K)

510 650

365

CaF2

–6

dn/dt (10 /K)

–7.5 –3.9 –11.0 13.4 –11.5 –10.4 –4.1

95

Section 1: Crystalline Materials

Thermooptic Coefficients—continued Material

Wavelength (nm)

CaF2 3390

–6

dn/dt (10 /K) –11.5 –14.1 –8.1

Temperature (K)

Ref.

RT

1

93

4

293

4

473

4

RT

1

CaMoO4

587.6

–9.6 (o) –10.0 (e)

273–373 273–373

4 4

Ca5(PO4)3F

500–1000

–10 (o) –8 (e)

293–338 293–338

3 3

CaWO4

546.1 546.1

–7.1 (o) –10.2 (e)

293 293

4 2

–4.3 –9.2 –12.4 –5.7 –11.5 –15.1 –5.3 –11.1 –14.8

93 293 473 93 293 473 93 293 473

4 4 4 4 4 4 4 4 4

RT RT

1 1

CdF2

457.9

1150

3390

CdS

10600

CdTe

1150 3390 10600

147 98.2 98.0

RT RT RT

1 1 1

CsBr

254 288 400 633 640 1150 3400 10600 17000 30000

–82 –86 –86 –84.7 –85 –84 –84 –83 –82 –75.8

RT 293 293 RT 293 293 293 293 293 RT

1 4 4 1 4 4 4 4 4 1

CsCl

288 365 400

–79 –78.7 –78

293 293 293

4 1 4

© 2003 by CRC Press LLC

58.6 (o) 62.4 (e)

96

Section 1: Crystalline Materials

Thermooptic Coefficients—continued Material

Wavelength (nm)

–6

dn/dt (10 /K)

Temperature (K)

Ref.

CsCl

633 640 1150 3400 10600 17000 20000

–77.4 –77 –77 –76 –75 –72 –70.0

293 293 293 293 293 293 RT

1 4 4 4 4 4 1

CsF

288 400 640 1150 3400 10600 17000

–41 –42 –42 –42 –42 –39 –32

293 293 293 293 293 293 293

4 4 4 4 4 4 4

CsI

300 365 633 1000 10000 20000 30000 40000 50000

–79 –87.5 –99.3 –98.6 –91.7 –89.3 –88.0 –86.2 –78.5

288–307 RT RT 288–307 288–307 288–307 288–307 288–307 288–307

4 1 1 4 4 4 4 4 4

GaAs

1150 3390 10600

250 200 200

RT RT RT

1 1 1

GaN

1150

61

RT

1

GaP

546 633

200 160

RT RT

1 1

GaSb

1550 3700

380 312

80 100–400

4 4

Gd3Sc2Al3O12

543 1152

8.9 5.05

298–308 308–313

3 3

Gd3Sc2Ga3O12

441.6 543 632.8 1064 1152

13.46 13.3 10.76 10.7 9.04

308–313 298–308 308–313 283–303 308–313

3 3 3 3 3

Ge

2500 5000

RT RT

1 1

© 2003 by CRC Press LLC

462 416

97

Section 1: Crystalline Materials

Thermooptic Coefficients—continued Material

Wavelength (nm)

–6

dn/dt (10 /K)

Temperature (K)

Ref.

Ge

20000

401

RT

1

InAs

3250 4000 6000 10000

315 500 400 300

300–600 RT RT RT

4 1 1 1

InP

5000 10600 20000

83 82 77

RT RT RT

1 1 1

560 460

120–360 100–400

4 4

–28.5 –39.3 –43.8 –30.5 –41.9 –46.3 30.6 41.1 45.6

93 293 473 93 293 473 93 293 473

4 4 4 4 4 4 4 4 4

–22.6 –34.9 –39.6 –23.5 –36.2 –41.1 –23.3 –34.8 –39.1

93 293 473 93 293 473 93 293 473

4 4 4 4 4 4 4 4 4

–19.9 –21 –22 –23 –23 –23 –17 3

RT 293 293 293 293 293 293 293

1 4 4 4 4 4 4 4

InSb

KBr

2000–40000 5000–200000 457.9

1150

10600

KCl

457.9

1150

10600

KF

254 288 400 640 1150 3400 10600 17000

KH2PO4

624

–39.6 (o) –38.2 (e)

RT RT

1 1

KI

288 400

268 5

293 293

4 4

© 2003 by CRC Press LLC

98

Section 1: Crystalline Materials

Thermooptic Coefficients—continued Material KI

KNbO3

Wavelength (nm) 458 640 1150 3400 10600 17000 30000 436

1064

3000

KTiOPO4

365 532

LiB3O5

532

1064

LiBr

LiCaAlF6

LiCl

© 2003 by CRC Press LLC

288 355 640 1150 3400 10600 17000 546, 764

288 640 1150 3400 10600

–6

dn/dt (10 /K)

Temperature (K)

Ref.

–41.5 –49 –66 –72 –66 –52 –30.8

RT 293 293 293 293 293 RT

1 4 4 4 4 4 1

–67 (x) –26 (y) 125 (z) 23 (x) –34 (y) 63 (z) 21 (x) –23 (y) 55 (z)

RT RT RT RT RT RT RT RT RT

1 1 1 1 1 1 1 1 1

–6.5 (x) –7.4 (x) –0.9 (y) –13.5 (z) –1.9 (x) –13.0 (y) –7.4 (z)

RT RT RT RT RT RT RT

5 5 5 5 1 1 1

–1.9 (x) –13.0 (y) –8.3 (z)

RT RT RT

5 5 5

56 2 –39 –48 –50 –37 –1

293 293 293 293 293 293 293

4 4 4 4 4 4 4

293–353 293–353

3 3 4

–4.6 (o) –4.2 (e) 9.9 –32 –37 –38 –21 –16

293 293 293 293 293 293

4 4 4 4 4

99

Section 1: Crystalline Materials

Thermooptic Coefficients—continued Material LiF

Wavelength (nm) 457.9 632.8 1150

3390

LiI

LiIO3

288 410 640 1150 3400 10600 17000 400 1000

LiNbO3

660 3390

–6

dn/dt (10 /K)

Temperature (K)

Ref.

–3.3 –21.6 –17.0 –3.8 –16.7 –19.9 –4.0 –14.5 –18.0

93 473 313 93 293 473 93 293 473

4 4 2 4 4 4 4 4 4

268 5 –49 –66 –72 –66 –52

293 293 293 293 293 293 293

4 4 4 4 4 4 4

–74.5 (o) –63.5 (e) –84.9 (o) –69.2 (e)

RT RT RT RT

1 1 1 1

4.4 (o) 37.9 (e) 0.3 (o) 28.9 (e)

RT RT RT RT

1 1 1 1

LiSrAlF6

900

–4.0 (o) –2.5 (e)

293–353 293–353

3 3

LiTaO3

468

62 (o) 12 (e) 58 (o) 7 (e) 52 (o) 5 (e)

298 298 298 298 298 298

3 3 3 3 3 3

–0.54 (o) –2.44 –0.67 (o) –2.30 (e) –0.91 (o) –2.86 (e)

RT RT RT RT RT RT

1 1 1 1 1 1

RT 93 293

1 4 4

546 644

LiYF4

436 546 578

MgAl2O4

© 2003 by CRC Press LLC

589

9.0 1.8 1.5

100

Section 1: Crystalline Materials

Thermooptic Coefficients—continued Material MgF2

Wavelength (nm) 457.9

632.8 1150

3390

MgO

365 404.7

546 589.3

767.9

Mg2SiO4 NaBr

NaCl

© 2003 by CRC Press LLC

–6

dn/dt (10 /K)

Temperature (K)

Ref.

2.4 0.9 0.6 0.1 1.12 (o) 0.58 (e) 2.0 1.4 0.9 0.3 –0.1 –0.7 2.0 1.5 1.1 0.6 0.3 –0.3

93 293 473 473 293 293 93 93 293 293 473 473 93 93 293 293 473 473

4 4 4 4 2 2 4 4 4 4 4 4 4 4 4 4 4 4

19.5 18.9 19.1 19.3 16.5 15.3 15.5 15.7 13.6 13.8 14.0

RT 293 303 313 RT 293 303 313 293 303 313

1 4 4 4 1 4 4 4 4 4 4

298–313

3

488

2.8

288 350 365 640 1150 3400 10600 17000

12.9 –29 –30.4 –39 –40 –40 –38 –32

293 293 RT 293 293 293 293 293

4 4 1 4 4 4 4 4

–20.6 –34.2 –39.2

93 293 473

4 4 4

457.9

101

Section 1: Crystalline Materials

Thermooptic Coefficients—continued Material NaCl

Wavelength (nm) 633 1150

3390

NaF

457.9

632.8 1150

3390

NaI

NH4H2PO4 PbMoO4

288 325 640 1150 3400 10600 17000 624

588

–6

dn/dt (10 /K)

Temperature (K)

Ref.

–35.4 –22.2 –36.4 –41.4 22.4 –36.6 –41.8

RT 93 293 473 93 293 473

1 4 4 4 4 4 4

–4.1 –11.9 –14.7 –13.0 –4.5 –13.2 –15.9 –4.5 –12.5 –14.9

93 293 473 313 93 293 473 93 293 473

4 4 4 2 4 4 4 4 4 4

72 3 –46 –50 –50 –49 –44 –47.1 (o) –4.3 (e)

293 293 293 293 293 293 293 RT RT

4 4 4 4 4 4 4 1 1

–75 (o) –41 (e)

273–373 273–373

4 4

RT RT RT

1 1 1

PbS

3390 5000 10600

PbSe

3390 5000 10600

–2300 –1400 –860

RT RT RT

1 1 1

PbTe

3390 5000 10600

–2100 –1500 –1200

RT RT RT

1 1 1

RbBr

288 400 640

–40 –44 –45

293 293 293

4 4 4

© 2003 by CRC Press LLC

–2100 –1900 –1700

102

Section 1: Crystalline Materials

Thermooptic Coefficients—continued Material

Wavelength (nm)

–6

dn/dt (10 /K)

Temperature (K)

Ref.

RbBr

1150 3400 10600 17000

–45 –45 –44 –43

293 293 293 293

4 4 4 4

RbCl

288 400 640 1150 3400 10600 17000

–38 –39 –39 –39 –39 –38 –35

293 293 293 293 293 293 293

4 4 4 4 4 4 4

RbI

288 400 640 1150 3400 10600 17000

–37 –55 –56 –56 –56 –56 –55

293 293 293 293 293 293 293

4 4 4 4 4 4 4

Si

1407 2500 3826 5000 10600

206 166 174 159 157

291 RT 312 RT RT

4 1 4 1 1

RT RT RT RT RT RT

1 1 1 1 1 1

SiO2 (α-quartz)

254 365 546

–2.9 (o) –4.0 (e) –5.4 (o) –6.2 (e) –6.2 (o) –7.0 (e)

Sr5(VO4)3F

750–1000

–11 (o) –8 (e)

293–338 293–338

3 3

SrF2

457.9

–54 –12.0 –13.4 –12.5 –5.5 –12.6 –14.0 –3.5 –9.8 –12.0

93 293 473 313 93 293 473 93 293 473

4 4 4 2 4 4 4 4 4 4

632.8 1150

10600

© 2003 by CRC Press LLC

103

Section 1: Crystalline Materials

Thermooptic Coefficients—continued Material TeO2

Wavelength (nm) 436 644

TiO2 (rutile)

Tl[Br,I] KRS-5

405

576.9 1014 11035 25970 39380

Tl5AsSe3

2–10

–6

dn/dt (10 /K)

Temperature (K)

Ref.

30 (o) 25 (e) 9 (o) 8 (e)

RT RT RT RT

1 1 1 1

4 (o) –9 (e)

RT RT

1 1

292–304 292–304 292–304 292–304 292–304

4 4 4 4 4

RT RT

1 1

–254 –240 –233 –202 –154 –45 (o) 36 (e)

YVO4

—

3.9 (o) 8.5 (e)

— —

3 3

YVO4

—

3 (o) 8.5 (e)

— —

3 3

Y2 O3

633

8.3

RT

1

Y2SiO5

546.1

9.05 (x) 5.70 (y) 6.73 (z)

298–343 298–343 298–343

3 3 3

Y3Al5O12

YAlO3 b–axis rod ZnGeP2

457.9 476.5 488.8 496.5 501.7 514.5 543 632.8 1064.2 1064

640 1000 10000

© 2003 by CRC Press LLC

11.89 12.00 11.60 11.38 11.37 10.57 9.7 10.35 9.05 9.8 (a) 14.5 (c) 359 (o) 376 (e) 212 (o) 230 (e) 165 (o) 170 (e)

303–318 303–318 303–318 303–318 303–318 303–318 298–308 303–318 303–318

2 2 2 2 2 2 3 2 2

— —

4 4

— — — — — —

1 1 1 1 1 1

104

Section 1: Crystalline Materials

Thermooptic Coefficients—continued Material β-ZnS

Wavelength (nm) 633 1150

1 4 4 1 4 4 4 4 4 4 4

633 1150 3390 10600

63.5 49.8 45.9 46.3

RT RT RT RT

6 6 6 6

633

76 106 121 59.7 50 62 67 49 61 69

93 293 473 RT 93 293 473 93 293 473

4 4 4 1 4 4 4 4 4 4

633 1150 3390 10600

1.6 70 62 61

RT RT RT RT

6 6 6 6

360 458 633 800 1690

16 10.0 7.9 7.2 6.2

RT 293–403 RT RT 293–403 293–403

1 4 1 1 4 4

1150 3390

10600

ZnSe (CVD)

ZrO2:12%Y2O3

(o) ordinary ray (e) extraordinary ray RT room temperature

© 2003 by CRC Press LLC

Ref.

RT 93 293 RT 473 93 293 473 93 293 473

10600

ZnSe

Temperature (K)

63.5 35 46 49.8 50 28 42 46 27 41 47

3390

β-ZnS (CVD)

–6

dn/dt (10 /K)

105

Section 1: Crystalline Materials

106

References: 1. Topf, W. J., Thomas, M. F., and Harris, T. J., Properties of Crystals and glasses, Handbook of Optics, Vol. II (McGraw–Hill, New York, 1995), p. 33.57 and references cited therein. 2. DeShazer, L. G., Rand, S. C., and Wechsler, B. A., Laser crystals, Handbook of Laser Science and Technology,Vol. V: Optical Materials, Part 3 (CRC Press, Boca Raton, FL, 1987), p. 595 and references cited therein. 3. Wechsler, B. A. and Sumida, D. S., Laser crystals, Handbook of Laser Science and Technology, Suppl. 2: Optical Materials (CRC Press, Boca Raton, FL, 1995), p. 595 and references cited therein. 4. Dodge, M. J., Refractive index, Handbook of Laser Science and Technology,VoL. IV: Optical Materials, Part 2 (CRC Press, Boca Raton, FL, 1986), p. 21 and references cited therein. 5. Singh, S., Nonlinear optical materials, Handbook of Laser Science and Technology, Vol. III: Optical Materials, Part 1 (CRC Press, Boca Raton, FL. 1986), p. 54 ff. 6. Klein, C., Raytheon Company.

© 2003 by CRC Press LLC

Section 1: Crystalline Materials

107

1.4 Mechanical Properties 1.4.1 Elastic Constants The following tables are from the CRC Handbook of Chemistry and Physics, 82nd edition, Lide, D. R., Ed. (CRC Press, Boca Raton, FL, 2001), p. 12–37, with additions from the Handbook of Optics, Vol. 2 (McGraw–Hill, New York, 1999) and the Handbook of Laser Science and Technology, Vol. IV and Suppl. (CRC Press, Boca Raton, FL, 1995). The elastic constants Cij for single crystals are given in units of 1011 N/m2 (equivalent to 100 GPa or 1012 dyn/cm2). The values are for room temperature. A useful compilation of published values from various sources may be found in Simmons, G., and Wang, H., Single Crystal Elastic Constants and Calculated Aggregate Properties: A Handbook, 2nd edition, (The MIT Press, Cambridge, MA, 1971). Temperature and pressure coefficients of the elastic constants for many materials are included in Landolt–Börnstein, New Series, III/11, Hellwege, K.–H. and Hellwege, A. M., Eds. (Springer–Verlag, New York, 1979).

Cubic Crystals Elastic constants (10 Material AgBr AlAs Al23O27N5 AlSb Ba(NO3)2 BaF2 Bi4Ge3O12 Bi4Si3O12 BN BP C (diamond) CaF2 CaLa2S4 CdTe CsBr CsCl CsI GaAs GaP GaSb Gd3Ga5O12 Gd3Sc2Al3O12 Gd3Sc2Ga3O12

© 2003 by CRC Press LLC

11

2

N/m )

Temperature (K)

C11

C12

C44

300 RT RT 300 293 298 RT RT RT RT RT 298 RT 298 298 298 298 298 300 298 RT RT RT

0.5920 1.163 3.93 0.8939 0.2925 0.9199 1.250 1.298 7.83 3.15 10.40 1.6420 0.98 0.5351 0.3063 0.3644 0.2446 1.1877 1.4120 0.8839 2.85 2.99 2.77

0.3640 0.576 1.08 0.4427 0.2065 0.4157 0.324 0.297 1.46 1.00 1.70 0.4398 0.47 0.3681 0.0807 0.0882 0.0661 0.5372 0.6253 0.4033 1.14 1.01 1.049

0.0616 0.541 1.19 0.4155 0.1277 0.2568 0.249 0.247 4.18 1.60 5.50 0.8406 0.50 0.1994 0.0750 0.0804 0.0629 0.5944 0.7047 0.4316 0.897 0.89 0.8036

Ref. 48 117 117 2 7 6 117 117 117 117 117 8 117 9 11 11 11 17 18 16 118 119 119

108

Handbook of Optical Materials Cubic Crystals—continued Elastic constants (10 Material

Ge HgTe InAs InP InSb KBr KCl KCN KF KI KMgF3 KTaO3 LiBr LiCl LiF LiI Lu3Al5O12 MgAl2O4 MgO MnO NaBr NaBrO3 NaCl NaClO3 NaF NaI NH4Br NH4Cl Pb(NO3)2 PbF2 PbS PbSe PbTe RbBr RbCl RbI Si β-SiC Sr(NO3)2 SrF2 SrO

© 2003 by CRC Press LLC

Temperature (K) 298 290 293 RT 298 298 298 RT 295 300 RT RT RT 295 RT RT RT 298 298 298 300 RT 298 RT 300 300 300 290 293 300 RT RT 303.2 300 300 300 298 RT 293 300 300

11

2

N/m )

C11

C12

C44

1.2835 0.548 0.8329 1.0220 0.6720 0.3468 0.4069 0.1940 0.6490 0.2710 1.32 4.31 0.3940 0.4927 1.1397 0.2850 3.39 2.9857 2.9708 2.23 0.3970 0.5450 0.4947 0.4920 0.9700 0.3007 0.3414 0.3814 0.3729 0.8880 1.26 1.178 1.0795 0.3152 0.3624 0.2556 1.6578 3.50 0.4255 1.2350 1.601

0.4823 0.381 0.4526 0.5760 0.3670 0.0580 0.0711 0.1180 0.1520 0.0450 0.396 1.03 0.1880 0.2310 0.4767 0.1400 1.14 1.5372 0.9536 1.20 0.1001 0.1910 0.1288 0.1420 0.2380 0.0912 0.0782 0.0866 0.2765 0.4720 0.162 0.139 0.0764 0.0500 0.0612 0.0382 0.6394 1.42 0.2921 0.4305 0.435

0.6666 0.204 0.3959 0.4600 0.3020 0.0507 0.0631 0.0150 0.1232 0.0364 0.485 1.09 0.1910 0.2495 0.6364 0.1350 1.13 1.5758 1.5613 0.79 0.0998 0.1500 0.1287 0.1160 0.2822 0.0733 0.0722 0.0903 0.1347 0.2454 0.171 0.1553 0.1343 0.0380 0.0468 0.0278 0.7962 2.56 0.1590 0.3128 0.590

Ref. 20 36 23 24 22 11 11 32 33 42 118 117 32 33 34 32 119 53 20 35 33 32 11 50 51 52 3 4 29 28 117 117 30 45 45 45 46 117 29 54 55

Section 1: Crystalline Materials

109

Cubic Crystals—continued Elastic constants (10

11

2

N/m )

Material

Temperature (K)

C11

C12

C44

SrTiO3 ThO2 TiC TlBr TlCl Tl[Br,I], KRS-5 Tl[Br,Cl], KRS-6 Y2 O3 Y3Al5O12 Y3Fe2(FeO4)3 Y3Sc2Ga3O12 Y2.25Yb0.75Al5O12 ZnS ZnSe ZnTe ZrC

RT 298 RT 298 RT RT RT RT RT 298 RT RT 298 298 298 298

3.4817 3.670 5.00 0.3760 0.403 0.341 0.397 2.33 3.49 2.680 2.75 4.55 1.0462 0.8096 0.7134 4.720

1.0064 1.060 1.13 0.1458 0.155 0.136 0.149 1.01 1.21 1.106 1.00 1.54 0.6534 0.4881 0.4078 0.987

4.5455 0.797 1.75 0.0757 0.0769 0.0579 0.0723 0.67 1.14 0.766 0.85 1.51 0.4613 0.4405 0.3115 1.593

Ref. 56 61 107 59 117 117 117 117 119 19 119 119 68 68 68 63

Trigonal Crystals—Point Groups 32, 3m, –3m Elastic constants (10 Material Ag3AsS3 Al2O3 AlPO4 β-Ba3B6O12 CaCO3 Fe2O3 LiCaAlF6 LiNbO3 LiSrAlF6 LaF3 LiTaO3 NaNO3 Se α-SiO2 Te Tourmaline*

Temp. (K) RT 300 RT RT 300 RT RT RT RT RT RT RT RT 298 RT RT

C11 0.570 4.9735 1.0503 1.238 1.4806 2.4243 1.18 2.030 1.17 1.80 2.330 0.8670 0.198 0.8680 0.3257 2.7066

* Na3Al6Si6O18 (BO3)2(O,H,F) 4

© 2003 by CRC Press LLC

C12 0.318 1.6397 0.2934 0.603 0.5578 0.5464 0.412 0.530 — 0.88 0.470 0.1630 0.066 0.0704 0.0845 0.6927

C13 — 1.1220 0.6927 0.494 0.5464 0.1542 0.535 0.750 — 0.59 0.800 0.1600 0.202 0.1191 0.257 0.0872

C14 — -0.2358 -0.1271 0.123 -0.2058 -0.1247 ±0.192 0.090 — <0.005 -0.110 0.0820 |0.069| -0.1804 |0.1238| -0.0774

11

2

N/m ) C33

0.364 4.9911 1.3353 0.533 0.8557 2.2734 1.07 2.450 0.94 2.22 2.750 0.3740 0.836 1.0575 0.717 1.6070

C44 0.090 1.4739 0.2314 0.078 0.3269 0.8569 0.504 0.600 — 0.34 0.940 0.2130 0.183 0.5820 0.3094 0.6682

Ref. 117 111 73 117 113 82 119 114 119 117 114 12 117 115 117 82

110

Orthorhombic Crystals—Point Groups 222, m22, mmm Elastic constants (1011 N/m2)

Al2SiO3(OH,F)2 BaSO4 BeAl2O4 CaCO3 CaSO4 Cs2SO4 HIO3 K2SO4 KB5O8·4H2O KNbO3 KTiOPO4 LiNH4C4H4O6•4H2O (MgFe)SiO3 (MgFe)SiO4 Mg2SiO4 MgSO4•7H2O (Na,Al)SiO3 Na2C4H4O6•2H2O (NH4)2SO4 NaK(C4H4O6) •4H2O NaNH4C4H4O6•4H2O NiSO4•7H2O Rb2SO4 Sr(CHO2)2•2H2O

© 2003 by CRC Press LLC

C11

C12

RT RT RT RT RT 293 RT 293 RT RT RT RT RT RT 298 RT RT RT 293 RT RT RT 293 RT

2.8136 0.8941 4.32 1.5958 0.9382 0.4490 0.3030 0.5357 0.582 2.26 1.59 0.3864 1.876 3.240 3.2848 0.325 0.716 0.461 0.3607 0.255 0.3685 0.353 0.5029 0.4391

1.2582 0.4614 — 0.3663 0.1650 0.1958 0.1194 0.1999 0.229 0.96 — 0.1655 0.686 0.590 0.6390 0.174 0.261 0.286 0.1651 0.141 0.2725 0.198 0.1965 0.1037

C13 0.8464 0.2691 — 0.0197 0.1520 0.1815 0.1169 0.2095 0.174 — — 0.0875 0.605 0.790 0.6880 0.182 0.297 0.320 0.1580 0.116 0.3083 0.201 0.1999 −0.149

C22

3.8495 0.7842 4.64 0.8697 1.845 0.4283 0.5448 0.5653 0.359 2.70 1.54 0.5393 1.578 1.980 1.9980 0.288 0.632 0.547 0.2981 0.381 0.5092 0.311 0.5098 0.3484

C23

0.8815 0.2676 — 0.1597 0.3173 0.1800 0.0548 0.1990 0.231 — — 0.2007 0.561 0.780 0.7380 0.182 0.297 0.352 0.1456 0.146 0.3472 0.201 0.1925 −0.014

C33

C44

C55

C66

Ref.

2.9452 1.0548 5.11 0.8503 1.1180 0.3785 0.4359 0.5523 0.255 2.80 1.75 0.3624 2.085 2.490 2.3530 0.315 1.378 0.665 0.3534 0.371 0.5541 0.335 0.4761 0.3746

1.0811 0.1190 1.45 0.4132 0.3247 0.1326 0.1835 0.195 0.164 0.743 — 0.1190 0.700 0.667 0.6515 0.078 0.196 0.124 0.1025 0.134 0.1058 0.091 0.1626 0.1538

1.3298 0.2874 1.52 0.2564 0.2653 0.1319 0.2193 0.1879 0.046 0.250 — 0.0667 0.592 0.810 0.8120 0.156 0.248 0.031 0.0717 0.032 0.0303 0.172 0.1589 0.1075

1.3089 0.2778 1.42 0.4274 0.0926 0.1323 0.1736 0.1424 0.057 0.955 — 0.2326 0.544 0.793 0.8088 0.090 0.423 0.098 0.0974 0.098 0.0870 0.099 0.1407 0.1724

82 82 120 82 84 81 73 81 71 117 117 12 78 87 85 86 78 12 81 71 12 86 81 12

Handbook of Optical Materials

Material

Temp. (K)

SrSO3 TlSO4 ZnSO4•7H2O

RT 293 RT

1.044 0.4106 0.3320

0.773 0.2573 0.1720

0.605 0.2288 0.2000

1.061 0.3885 0.2930

0.619 0.2174 0.1980

1.286 0.4268 0.3200

0.135 0.1125 0.0780

0.279 0.1068 0.1530

0.266 0.0751 0.0830

12 81 86

Tetragonal Crystals—Point Groups 4, −4, 422, 4/m Elastic constants (1011 N/m2) Material

298 RT RT RT RT

C11

C12

C13

C16

C33

C44

C66

1.447 1.44 1.09 1.19 1.21

0.664 0.648 0.680 0.620 0.609

0.466 0.448 0.530 0.480 0.526

0.134 −0.142 −0.140 −0.120 −0.077

1.265 1.26 0.920 1.04 1.56

0.369 0.369 0.267 0.349 0.409

0.451 0.461 0.335 0.420 0.177

Ref. 79 117 117 117 117

Section 1: Crystalline Materials

CaMoO4 CaWO4 PbMoO4 SrMoO4 LiYF4

Temperature (K)

111

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112

Tetragonal Crystals—Point Groups 4mm, −42m, 422, 4/mmm

Material AgGaS2 BaTiO3 CdGeAs2 KH2AsO4 KH2PO4 MgF2 NH4H2AsO4 NH4H2PO4 (NH4) 3CO NiSO4·6H2O RbH2PO4 TeO2 TiO2 ZrSiO4

© 2003 by CRC Press LLC

RT 298 RT RT RT RT 298 293 RT RT 298 RT 298 RT

C11 0.879 2.7512 0.945 0.530 0.7140 1.237 0.6747 0.6200 0.217 0.3209 0.5562 0.5320 2.7143 2.585

C12 0.584 1.7897 0.596 −0.060 −0.049 0.732 −0.106 −0.050 0.089 0.2315 −0.064 0.4860 1.7796 1.791

C13 0.592 1.5156 0.597 −0.020 0.1290 0.536 0.1652 0.1400 0.24 0.0209 0.0279 0.2120 1.4957 1.542

C33

C44

C66

0.758 1.6486 0.834 0.370 0.5620 1.770 0.3022 0.3000 0.532 0.2931 0.4398 1.0850 4.8395 3.805

0.241 0.5435 0.421 0.120 0.1270 0.552 0.0685 0.0910 0.0626 0.1156 0.1142 0.2440 1.2443 0.733

0.308 1.1312 0.408 0.070 0.0628 0.978 0.0639 0.0610 0.0045 0.1779 0.0350 0.5520 1.9477 1.113

Ref. 117 70 117 12 71 72 69 69 117 73 74 76 75 78

Handbook of Optical Materials

Elastic constants (1011 N/m2) Temperature (K)

Section 1: Crystalline Materials

113

Monoclinic Crystals Elastic Constants (10

11

2

N/m )

Material

Temp. (K)

C11

C12

C13

C15

C22

Ref.

(C6H5CH)2 (CaMg)Si2O6 C14H10 CoSO4•7H2O FeSO4•7H2O K2 C4 H4 O6 KAlSi3O8 KHC4H4O6 Li2SO4•H2O (NaFe)Si2O6 (NH2CH2COOH)3• H2SO4 (TGS) Na2S2O3 Y2SiO5

RT RT RT RT RT RT RT RT RT RT RT

0.0930 2.040 0.0852 0.335 0.349 0.3110 0.664 0.4294 0.5250 1.858 0.4550

0.0570 0.884 0.0672 0.205 0.208 0.1720 0.438 0.1399 0.1715 0.685 0.1720

0.0670 0.0883 0.0590 0.158 0.174 0.1690 0.259 0.3129 0.1730 0.707 0.1980

-0.003 -0.193 -0.0192 0.016 -0.020 0.0287 -0.033 -0.0105 -0.0196 0.098 -0.030

0.0920 1.750 0.1170 0.378 0.376 0.3900 1.710 0.3460 0.5060 1.813 0.3210

94 91 90 86 86 32 92 12 32 89 32

RT RT

0.3323 0.658

0.1814 —

0.1875 —

0.0225 ±0.706

0.2953 1.85

12 119

Monoclinic Crystals—continued Elastic Constants (10 Material (C6H5CH)2 (CaMg)Si2O6 C14H10 CoSO4•7H2O FeSO4•7H2O K2 C4 H4 O6 KAlSi3O8 KHC4H4O6 Li2SO4•H2O (NaFe)Si2O6 (NH2CH2COOH)3•H2SO4 Na2S2O3 Y2SiO5

11

2

N/m )

C23

C25

C33

C35

C44

0.0485 0.482 0.0375 0.158 0.172 0.1330 0.192 0.1173 0.0368 0.626 0.2080

-0.005 -0.196 -0.0170 -0.018 -0.019 0.0182 -0.148 0.0176 0.0571 0.094 -0.0036

0.0790 2.380 0.1522 0.371 0.360 0.5540 1.215 0.6816 0.5400 2.344 0.2630

-0.005 -0.336 -0.0187 -0.047 -0.014 0.0710 -0.131 0.0294 -0.0254 0.214 -0.0500

0.0325 0.675 0.0272 0.060 0.064 0.0870 0.143 0.0961 0.1400 0.692 0.0950

0.0050 -0.113 0.0138 0.016 0.001 0.0072 -0.015 -0.0044 -0.0054 0.077 -0.0026

0.1713 —

0.0983 —

0.4590 0.835

-0.0678 ±0.330

0.0569 0.465

© 2003 by CRC Press LLC

C46

C55

C66

0.0640 0.588 0.0242 0.058 0.056 0.1040 0.238 0.1270 0.1565 0.510 0.1110

0.0245 0.705 0.0399 0.101 0.096 0.0826 0.361 0.0841 0.2770 0.474 0.0620

-0.0268 0.1070 ±0.0014 1.87

0.0598 0.656

114

Handbook of Optical Materials Hexagonal Crystals—Point Groups 6, –6, 622, 6mm, –62m, 6/mmm Elastic Constants (10 Material

β-AgI AlN Be3Al2Si6O18 BeO Ca5(PO4)3(OH,F,Cl) CdS CdSe GaN LiTiO3 α-SiC TiB2 ZnO ZnS

Temp. (K) RT RT RT RT RT 298 298 RT RT RT RT 298 298

C11 0.293 3.45 2.800 4.70 1.667 0.8431 0.7046 2.96 0.8124 5.02 6.90 2.0970 1.2420

11

2

N/m )

C12

C13

C33

C44

Ref.

0.213 1.25 0.990 1.68 0.131 0.5208 0.4516 1.30 0.3184 0.95 4.10 1.2110 0.6015

0.196 1.20 0.670 1.19 0.655 0.4567 0.3930 1.58 0.0925 056 3.20 1.0510 0.4554

0.354 3.95 2.480 4.94 1.396 0.9183 0.8355 2.67 0.529 5.65 4.40 2.1090 1.4000

0.0373 1.18 0.658 1.53 0.663 0.1458 0.1317 2.41 0.1783 1.69 2.50 0.4247 0.2864

117 117 12 96 12 98 68 117 117 117 107 110 96

References: 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30.

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116 80. 81. 82. 83. 84. 85. 86. 87. 88. 89. 90. 91. 92. 93. 94. 95. 96. 97. 98. 99. 100. 101. 102. 103. 104. 105. 106. 107. 108. 109. 110. 111. 112. 113. 114. 115. 116. 117. 118.

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Section 1: Crystalline Materials

117

1.4.2 Elastic Moduli The mechanical response of a material to an applied force is described by various moduli. Young’s modulus E (extension in tension) and the modulus of rigidity or shear G are related to Poisson’s ratio µ (ratio of lateral to longitudinal strain under unilateral stress) by µ = E/2G) – 1. The bulk modulus B (1/isothermal compressibility) is related to the above moduli by B = E/3(1 – µ). Elastic Moduli

Material Ag3AsS3 AgBr AgCl AgGaS2 β–AgI AlAs AlN Al2O3 ALON BaB2O4 BaF2 BaTiO3 BeAl2O4 BeO Bi12GeO20 Bi12SiO20 BN BP C (diamond) CaCO3 CaF2 CaLa2S4 CaMoO4 CaWO4 CdGeS2 CdS CdSe CdTe CsBr CsCl CsI CuCl GaAs GaN GaP

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Poisson’s ratio 0.38 0.39 0.41 0.37 0.4 0.27 0.26 0.23 0.24 0.41 0.31 0.36 — 0.23 0.28 0.28 0.11 0.19 0.10 0.31 0.29 0.25 0.29 0.29 0.32 0.38 0.37 0.35 0.27 0.27 0.26 0.30 0.24 0.25 0.24

Young’s E (GPa)

Moduli Rigidity G (GPa)

Bulk B (GPa)

28 24.7 22.9 52 12 108 294 400 317 30 65.8 145 469 395 82 84 833 324 1100 83 110 96 103 96 74 42 42 8.4 22 25 18 24.8 116 294 140

10 8.8 8.1 19 4.4 42.4 117 162 128 11 25.1 53 — 162 32 33 375 136 500 32 42.5 38.4 40 37 28 15 15.3 14.2 8.8 10.0 7.3 8.9 46.6 118 56.5

37 40.5 44.0 67 24 77.2 202 250 203 60.6 57.6 174 — 240 63.3 63.1 358 172 460 73.2 85.7 64 80 78 70 59 53 42.9 15.8 18.2 12.6 39.3 75.0 195 89.3

118

Handbook of Optical Materials Elastic Moduli—continued

Material

Poisson’s ratio

Young’s E (GPa)

Ge InAs InP KBr KCl KF KH2PO4 KI KNbO3 KTaO3 LaF3 LiF LiIO3 LiNbO3 LiSrAlF6 LiYF4 MgAl2O4 MgF2 MgO NaBr NaCl NaF NaI [NH4] 2CO NH4H2PO4 PbF2 PbMoO4 PbS PbSe PbTe Se Si α–SiC β–SiC β–SiC (CVD) SiO2, α–quartz SrF2 SrMoO4 SrTiO3 Te TeO2 TiO2

0.20 0.30 0.30 0.30 0.29 0.28 0.26 0.30 0.22 0.27 0.32 0.22 0.23 0.25 0.3 0.32 0.26 0.26 0.18 0.26 0.26 0.24 0.28 0.41 0.32 0.33 0.35 0.28 0.28 0.26 0.27 0.22 0.16 0.17 0.21 0.08 0.29 0.30 0.23 0.25 0.33 0.27

132 74 89 18 22 41 38 14 250 316 120 110 55 170 109 85 276 137 310 29 37 76 22 ~9 29 59.8 66 70.2 64.8 56.9 24 162 455 447 466 95 89 87 283 35 45 293

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Moduli Rigidity G (GPa)

Bulk B (GPa)

54.8 28 34 7.2 8.5 16 15 5.5 71 124 46 45 22.4 68 — 32 109 53.9 131 11.6 14.5 30.7 8.4 ~3 11 22.4 24 27.5 25.4 22.6 9 66.2 197 191 — 44 34.6 33 115 14 17 115

75.0 61 72.7 15.2 18.4 31.8 28 11.9 95 230 100 65.0 33.5 112 — 81 198 99.1 163 19.9 25.3 48.5 16.1 17 27.9 60.5 72 52.8 48.5 39.8 17 97.7 221 224 — 38 71.3 73 174 24 46 215

Section 1: Crystalline Materials

119

Elastic Moduli—continued

Material TlBr Tl[Br,I] KRS-5 TlCl Tl[Br,Cl], KRS-6 Y3Al5O12 Y3Fe5O12 Y2 O3 ZnO α-ZnS β-ZnS β-ZnS (CVD) ZnSe ZnSe (CVD) ZnTe ZrO2: 12%Y2O3

Poisson’s ratio

Young’s E (GPa)

0.32 0.34 0.33 0.33 0.24 0.29 0.30 0.35 0.30 0.32 0.29 0.30 0.28 0.30 0.31

24 19.6 25 24 280 200 173 127 87 82.5 74.5 75.4 70.3 61.1 233

Moduli Rigidity G (GPa)

Bulk B (GPa)

8.9 7.3 9.3 9.0 113 — 67 47 33 31.2 — 29.1

22.4 20.4 23.8 32.2 180 — 145 144 74 76.6 — 61.8

23.5 88.6

51.0 205

The above table was adapted from Tropf, W. J., Thomas, M. F., and Harris, T. J., Properties of crystals and glasses, Handbook of Optics, Vol. II (McGraw-Hill, New York, 1995), p. 33.48.

1.4.3 Engineering Data The following engineering properties can depend on the production method and exhibit sample–to–sample variations. Material strength may also depend on subsurface damage resulting from grinding and polishing. Therefore, the data should be considered only as a guide. Engineering Data

Material AgCl AgSb Al2O3 AlN Al23O27N5 α-AgI BaB2O4 BaF2 Be3Al2Si6O18 BeO C (diamond)

© 2003 by CRC Press LLC

Flexure strength (MPa)

Fracture toughness 1/2 (MPa m )

Volume compressibility –1 (Tpa )

26 1200 225 310

3

57.1 1.36 || c 1.22 || a

3 1.4 41 1.5

27 6.65 275 2940

2.0

Ref. 1 4 1 1 1 1 4 1 1 2 1 1

120

Handbook of Optical Materials Engineering Data—continued

Material Ca5(PO4)3F CaF2 CaLa2S4 CaMoO4 CaWO4 CdS CdSe CdSiAs2S4 CdTe CsBr CsI GaAs GaN GaP GaSbs Gd2(MoO4)3 Gd3Ga5O12 Gd3Sc2Ga3O12 Ge InAs InP InSb KBr KCl KMgO3 LaB3O6

Flexure strength (MPa)

90 81

0.5 0.68

Volume compressibility –1 (TPa ) 13.2 11.64 12.5 13.3

28 21 4.3 26 8.4 5.6 55 70 100

0.9

100

1.2 0.66

77.1 11.0 45.7 27.2 5.88

54.9 73.5 44.2 11 10 14.4

Ref. 2 1,2 1 2 2 1 1 4 1 1 1 1,4 1 1,4 4 2 2 3 1 4 4 4 1 1 2

1.9 (111) 0.38 (10–1)

LaF3 LiB3O5 LiCaAlF6

33

LiF LiNbO3 LiSrAlF6 LiYF4 Lu3Al5O12 MgAl2O4 MgF2 MgO MnF2

27

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Fracture toughness 1/2 (MPa m )

1 2.0 0.18 || c 0.37 ⊥ c 15.05 8.8 0.40 || c

35 170 100 130

1.1 1.5 1.0

10.1 6.2 4.3 || a 2.0 ⊥ c

3 3 1,2 2 3 1 3 1 1 1 2 2

Section 1: Crystalline Materials

121

Engineering Data—continued

Material

NaCl Si β-SiC β-SiC (CVD) Sr5(PO4)3F Sr5(VO4)3F Te Tl[Br,Cl], KRS-6 Tl[Br,I] KRS-5 Y2.25Yb0.75Al5O12 Y2 O3 Y2SiO5

Y3Al5O12 Y3Al5O12 Y3Fe5O12 Y3Ga5O12 α-ZnS β-ZnS (CVD) ZnSe ZnSe (CVD) ZnTe ZrO2: 12%Y2O3

Flexure strength (MPa)

9.6 130 250

Fracture toughness 1/2 (MPa m )

Volume compressibility –1 (TPa )

1 1 1

0.95 3.3 0.51 0.36 || c

11 21 26 150

1.3 0.7 0.54 || a 0.70 || b 0.78 || c 1.0, 1.4 5.34 6.15 5.73

69 60 55 52 24 200

0.8 0.32 ≈1 2.0

Ref.

3 3 1 1 1 3 1 3 3 3 3 2 2 2 1 1 1 1 1

References: 1. Tropf, W. J., Thomas, M. F., and Harris, T. J., Properties of crystals and glasses, Handbook of Optics, Vol. II 2 (McGraw–Hill, New York, 1995), p. 33.48. 2. DeShazer, L. G., Rand, S. C., and Wechsler, B. A., Laser crystals, Handbook of Laser Science and Technology,Vol. IV: Optical Materials, Part 3 (CRC Press, Boca Raton, FL, 1987), p. 595. 3. Wechsler, B. A. and Sumida, D. S., Laser crystals, Handbook of Laser Science and Technology, Suppl. 2: Optical Materials (CRC Press, Boca Raton, FL, 1995), p. 595. 4. Berger, L. I. and Pamplin, B. R., Properties of semiconductors, CRC Handbook of Chemistry and Physics, 82nd edition, Lide, D. R., Ed. (CRC Press, Boca Raton, FL, 2001), p. 12–87.

© 2003 by CRC Press LLC

122

Handbook of Optical Materials

1.5 Thermal Properties 1.5.1 Melting Point, Heat Capacity, Thermal Expansion, and Thermal Conductivity Values for the heat capacity and the thermal expansion coefficient are those at or near room temperature; thermal conductivity values are for the temperatures T indicated. Thermal Properties Material

Melting point (K)

Heat capacity (J/g K)

Thermal expansion –6 (10 K)

Thermal conductivity (W/ m K)

T (K)

Ref.

Ag3AsS3

763

1

AgBr

705

0.2790

33.8

1.11 0.93 0.57

250 300 500

2 2 2

AgCl

728

0.3544

32.4

1.25 1.12 1.1

250 295 373

2 1 4

AgGaS2

1269

0.40

28.5 || a –18.7 || c

1.5

300

1 1

AgGaSe2

1129

0.30

35.5 || a –15.0 || c

1.1

300

1 1

AgGaTe2

990

1.0

300

3

β-AgI

423p

0.4

300

2

58 46 24.2

250 300 500

2 2 2

0.242

Al2O3

2319

0.777

Al6Si2O13

2190

0.75

AlAs

2013

0.452

6.65 || a 7.15 || c

2 3.5 3.1

AlN

3273

0.796

5.27 || a 4.15 || c

ALON

2323

0.830

5.66

AlP

2820

AlPO4 AlSb

© 2003 by CRC Press LLC

84

300

1 3

500 320 150

250 300 500

2 2 2

12.6 7.0

300 500

2 2

92

300

3

>1730

2.9

~6

300

1

1330

4.2

60

300

3

Section 1: Crystalline Materials

123

Thermal Properties—continued Material

Melting point (K)

Heat capacity (J/g K)

Thermal expansion –6 (10 K)

Thermal conductivity (W/ m K)

Ref.

BaB2O4

1200p 1370

0.49

4 || a 34 || c

BaF2

1550

0.4474

18.4

BaF2-CaF2

1330

0.13

21.0

Ba3Lu (BO3)3

1540

BaTiO3

278p 406p 1870

0.439

16.8 || a –9.07 || c

6

300

2 2 1

BaY2F8

1230

17 || a 18.7 || b 19.4 || c

6

300

5 5 5

Ba2NaNb5O12

1710

28.5 || a –18.7 || c

10.4 || a,b 11.4 || c

BeAl2O4

2140

0.830

6.3 || a 6.0 || b 6.5 || c

Be2SiO4 Be3Al2Si6O18

BeO

0.84 1730

0.84

2.1 || a 2.7 || c

2373p 2725

1.028

5.64 || a 7.47 || c

BiB3O6

0.5 (330 K)

1.2 || a 1.6 || c

T (K)

7.5 12 10.5

300 300

2 2

250 300 370

2 2 4 1

5 5 23

300

5 5 5

3.3

300

2

5

300

1 1

420 350 200

250 300 500

2 2 2

48.1 (x) 44 (y) –26.9 (z)

Bi4Ge3O12

1320

7

1

Bi12GeO20

1200

16.8

1

Bi2Te3

BN BP

© 2003 by CRC Press LLC

853

1100p 3240 1400d

0.513

3.5

0.71

3.65

2.8 3.6 4.6

204 303 370

4 4 4

760 36.2 460

300 1047 250

2 1,4 2

124

Handbook of Optical Materials Thermal Properties—continued

Material

Melting point (K)

Heat capacity (J/g K)

Thermal expansion –6 (10 K)

BP C (diamond)

1770p

0.5169

1.25

C (diamond) Ca(NbO3)2

1830

Ca2Al2SiO7

1860

Ca3Gd2(BO3)3

1680

Ca3Y2(BO3)3

1630

Ca5(PO4)3F

1920

0.745

9.4 || a 10 || c

CaCO3 ( calcite)

323p 1610

0.8820

–3.7 || a 25.1 || c

CaF2

1424p 1630

0.9113

18.9

CaLa2S4

2083

0.36

CaMoO4

1750

0.690

CaO

2890

0.75

CaTiO3

2250

CaWO4

1855

CaY4(SiO4)O

2320

CdCl2

781

CdF2

1370

CdGeS2

© 2003 by CRC Press LLC

900p 943

Thermal conductivity (W/ m K)

T (K)

360

300

2

2800 2200 1300

250 300 500

2 2 2

Ref.

5 11.4 || a

3 || c 4.4 ⊥ c

300 300

6 6

5 5 5.1 || a 6.2 || c 4.5 || a 5.4 || c 3.4 || a 4.2 || c

250 250 300 300 500 500

2 2 2 2 2 2

39.0 13 9.7 5.5

83 250 300 500

5 2 1,2 2

14.6

1.7 1.5

300 500

2 2

19 || a 25 || c

3.95 || a 3.82 || c

300 300

5 5

450

1

18

7 0.396

6.35 || a 12.38 || c 7.1 || a 5.1 || c

6 11.3

300 422

1,2 2,4 5 5 1

27 8.4 || a 0.25 || c

1 2 2

Section 1: Crystalline Materials

125

Thermal Properties—continued Material

Melting point (K)

Heat capacity (J/g K)

Thermal expansion –6 (10 K)

Thermal conductivity (W/ m K)

T (K)

Ref.

CdI2

760

1

CdS CdS

1560

0.3814

4.6 || a 2.5 || c

27 13

300 500

2 2

CdSe

1580

0.272

4.9 || a 2.9 || c

9

300

1,2 2

CdTe

1320

0.210

5.0

8.2 6.3

250 300

2 2

CsBr

908

0.2432

47.2

1.2 0.85 0.77

223 300 373

4 2 4

CsCl

918

0.3116

45.0

0.84

360

3

CsF

955

0.33

32

4.2

300

2

CsI

898

0.2032

48.6

1.4 1.05 0.95

223 300 373

4 2 4

CsLiB6O10

1120

Cu2GeS3

1210

0.51

7.2

1.2

300

3

Cu2GeSe3

1030

0.34

8.4

2.4

300

3

Cu2SnS3

1110

0.44

7.8

2.8

300

3

Cu2SnSe3

960

0.31

8.9

3.5

300

3

CuBr

777

CuCl

700

CuF

1181

CuGaS2

1553

CuGase2

1970

5.4

4.2

300

3

CuGaTe2

2400

6.9

2.7

300

3

CuInSe2 CuInTe2

1600 1660

6.6 7.1

3.7 4.9

300 300

3 3

CuSnTe3

680

14.4

300

3

Ga2O3 © 2003 by CRC Press LLC

2170

19 0.490

14.6

1 1.0 0.8 0.5

250 300 500

2 2 2 3

0.452

0.46

11.2 || a 6.9 || c

2 2

1

126

Handbook of Optical Materials Thermal Properties—continued

Material

Melting point (K)

Heat capacity (J/g K)

Thermal expansion –6 (10 K) 8.9

Thermal conductivity (W/ m K)

T (K)

Ref.

Ga2Se3

1020

Ga2Te3

1063

GaAs

1511

0.345

5.0

α-GaN

1160d 2370

0.49

3.17 || a 5.59 || c

GaP

1740

0.435

5.3

GaS

1240

7

GaSe

1235

7

GaSb

720

0.079

Gd2(MoO4)3

1410

0.42

Gd3Ga5O12

2100

Gd3Sc2Al3O12

2110

0.424

Gd3Sc2Ga3O12

2130

Ge

6.9

50

300

3

47

300

3

65 54 27

250 300 500

2 2 2

130 || c

300

2 2

120 100 45

250 300 500

2 2 2

44

300

1,2 5

60 9.0

70 300

5 1

6.9

5.6

300

6

0.4023

7.32

6.1

300

6

1211

0.3230

5.7

74.9 59.9 33.8

250 300 500

2 2 2

GeO2

1360

0.54

4.5

HgI2

532

7

Hg2I2

563

7

Gd2(MoO4)3

1410

Gd3Ga5O12

2100

Gd3Sc2Al3O12

2110

0.424

Gd3Sc2Ga3O12

2130

Ge Ge

GeO2 © 2003 by CRC Press LLC

1

0.42

5 60 9.0

70 300

5 1

6.9

5.6

300

6

0.4023

7.32

6.1

300

6

1211

0.3230

5.7

74.9 59.9 33.8

250 300 500

2 2 2

1360

0.54

4.5

1

Section 1: Crystalline Materials

127

Thermal Properties—continued Material

Melting point (K)

Heat capacity (J/g K)

Thermal expansion –6 (10 K)

Thermal conductivity (W/ m K)

T (K)

Ref.

HgI2

532

7

Hg2I2

563

7

HgInSe2

1053

3.0

300

3

HgInTe2

1053

3.0

300

3

HgS

857s

0.21

1

HgSe

Subl.

4.8

HgTe

943

4.8

InAs

1216

0.2518

α-InN

1373

InP

InSb

5.5

110

1

12

100

1

4.4

50 27.3 15

250 300 500

2 2 2

0.32

2.9–3.8

55.6

300

3

1345

0.3117

4.5

90 68 32

250 300 500

2 2 2

798

0.144

4.7

16

300

3

KAl3Si3O10 (OH)2 1473–1573

0.87

27

0.25–0.59

293

8

KBr

1007

0.4400

38.5

5.5 4.8 2.4

250 300 500

2 2 2

KCl

104

0.6936

36.5

8.5 6.7 3.8

250 300 500

2 2 2

KF

1131

0.8659

31.4

8.3

300

2

KH2PO4

123p 450p 526

0.88

22.0 || a 39.2 || c

2.0 2.1

250 300

2 2 2

KI

954

0.3192

40.3

2.1

300

2

KNbO3

223p 498p

37

KTaO3 KTaO3 KTiOPO4

© 2003 by CRC Press LLC

1210p 1423

0.728

11 || a 9 || b 0.6 || c

2 2 0.2 0.17

250 300

2 2

2.0 || a 3.0 || b 3.3 || c

300 300 300

2 2 2

128

Handbook of Optical Materials Thermal Properties—continued

Material

Melting point (K)

Heat capacity (J/g K)

Thermal expansion –6 (10 K)

Thermal conductivity (W/ m K)

T (K)

Ref.

K2NaAlF6

1210

6

La2B6O10

1107p

2

La2Be2O5

1630

LaAlO3

2350

LaB3O6

1420

LaF3

1700

0.508

LaCl3

1130

0.422

La2O2S

LiBr LiCaAlF6

7–7.9 ⊥ 9.50 || c 10

4.7

300

1 1

15.8 || a 11.0 || c

5.4 5.1

250 300

2 2 5

6 || c 3 || a

5 5

823 1100

LiCl

878

LiF

1115

LiGdF4

1010

1 0.935

3.6 || c 22 || c

1.2

44

1.6200

34.4

5.14 || c 4.58 ⊥ c

300 300

6 6 1

19 14 7.5

250 300 500

2 2 2

LiI

720

58

2

LiIO3

520p 693

28 || a 48 || c

2 2

LiNbO3

1523

LiSrAlF6

1065

LiTaO3

1932

LiYF4 LiYF4

1092

Lu3Al5O12

2260

MgAl2O4

2408

© 2003 by CRC Press LLC

0.63

14.8 || a 4.1 || c –10.0 || c 18.8 || c

0.42

0.79

0.8191

5.6

300

3.09 ||c

6 6

4.1 || c 16.1 || c 13.3 || a 8.3 || c

2 2

6 6 6.3

300

2 2

8.8

31

300

6

6.97

30 25

250 300

2 2

Section 1: Crystalline Materials

129

Thermal Properties—continued Material

Melting point (K)

Heat capacity (J/g K)

Thermal expansion –6 (10 K)

Thermal conductivity (W/ m K)

T (K)

Ref.

Mg2SiO4

2160

0.74

8.7 || a 15.4 || b 13.3 || c

MgF2

1536

1.0236

9.4 || a 13.6 || c

30 || a 21 || c

300 300

2 2

MgO

3073

0.9235

10.6

73 59 32

250 300 500

2 2 2

MnF2

1130

0.75

MnO

2112

0.67

Na3AlF6

1000

NaBr

1028

0.5046

41.8

5.6

300

2

NaCl

1074

0.8699

41.1

8 6.5 4

250 300 500

2 2 2

NaF

1266

1.1239

33.5

250 500

2 2

NaI NaNO3

934 580

0.3502 1.05

44.7 11 || a 12 || c

500

2 1 1

[NH4] 2CO

408

1.551

NH4H2PO4

148p 463

1.26

27.2 || a 10.7 || c

PbCl2

774

0.27

31

PbF2

422p 1094

0.3029

29.0

PbI2

685 1145d

0.27

31

7

PbMoO4 PbMoO4

1338

0.326

8.7 || a 20.3 || c

2 2

PbO (massicot) PbS

1160 1390

2.0 0.209

19.0

2.5

300

1 2

PbSe

1338

0.175

19.4

2 1.7

250 300

2 2

© 2003 by CRC Press LLC

5 5 5

6.1

1

13

1 1

22 17 4.7

1 1.26 || a 0.71 || c

300 300

2 1,2 1

28

300

2 1

130

Handbook of Optical Materials Thermal Properties—continued

Material

Melting point (K)

Heat capacity (J/g K)

Thermal expansion –6 (10 K)

PbSe PbTe

1190

0.151

19.8

Thermal conductivity (W/ m K)

T (K)

Ref.

1

500

2

2.5 2.3 1.8

250 300 500

2 2 2

4 2.8

300 500

2 2

12.2

105

1

PbTiO3

763p

RbBr

966

0.31

RbCl

991

0.42

36

7.6

124

1

RbI

920

0.24

39

9.9

84

1

Se

490

0.3212

69.0 || a –0.3 || c

1.5 || a 5.1 || c 1.3 || a 4.5 || c

250 250 300 300

2 2 2 2

Si

1680

0.7139

2.62

191 140 73.6

250 300 500

2 2 2

33

300

1 1

7.5 || a 12.7 || c 6.2 || a 10.4 || c 3.9 || a 6.0 || c

250 250 300 300 500 500

2 2 2 2 2 2

450 || a

300

2

490

300

2

250 300

2 2

Si3N4

SiO2 (α-quartz)

>2300

845p

1.1 || a 2.1 || c 0.7400

α-SiC

3110

0.690

β-SiC

3103d

0.670

SrF2

1710

0.6200

SrGaO4 SrGdGa3O7 SrLaAl O4 SrMoO4

1870 1870 1920 1763

SrTiO3

110p 2358

Sr3Y(BO3)3

1670

© 2003 by CRC Press LLC

12.38 || a 6.88 || c

2.77 18.1

11 8.3

6 0.619

0.536

4.0 || a 4.2 || c 8.3

12.5 11.2

300 300

2 2

250 300

2 2

Section 1: Crystalline Materials

131

Thermal Properties—continued Material

Melting point (K)

Heat capacity (J/g K)

Sr3Y4(SiO4)3O

2270

Sr5(PO4)3F

2040

0.50

Sr5(VO4)3F

1920

0.513

Ta2O5

2140

Te

621p 723

Thermal expansion –6 (10 K)

Thermal conductivity (W/ m K)

2.0

T (K)

300

Ref.

6 6 6

7.3 || a 10.8 ⊥ c

1 0.202

27.5 || a –1.6 || c

2.5 || a 4.9 || c 2.1 || a 3.9 || c 1.5 || a 2.5 || c

250 250 300 300 500 500

2 2 2 2 2 2

15.0 || a 4.9 || c

3

295

1,2 2

TeO2

1006

0.41

ThO2

3600

0.24

7.8

15

300

1

TiO2 rutile

2128

0.6910

6.86 || a 8.97 || c

8.3 || a 11.8 || c 7.4 || a 10.4 || c 5.5 || a 8.0 || c

250 250 300 300 500 500

2 2 2 2 2 2

Tl[Br,Cl]

697

0.201

51

0.50

300

2

Tl[Br,I]

687

0.16

58

0.32

300

2

Tl3AsSe3

583

0.19

28 || a 18 || c

0.35

300

2 2

TlBr

740

0.1778

51

0.53

300

2

TlCl Y2 O3

703 2650

0.2198 0.4567

52.7 6.56

0.74 13.5

300 300

2 2

YAlO3

2140

0.42

4.3–9.5 ⊥ c 11 || c 7.38 (ave)

11

323

1 1

YCa4O(BO3)3

YVO4

Y3Al5O12

© 2003 by CRC Press LLC

~2100

2220

11.4 || a 4.4 ⊥ c 0.625

7.7

2.60 || a 2.33 || b 3.01 || c

300 300 300

5.1 || a 5.2 || c

300 300

1,6 1,6

226 300

6 1,2

14.5 13.4

132

Handbook of Optical Materials Thermal Properties—continued

Material

Melting point (K)

Heat capacity (J/g K)

Thermal expansion –6 (10 K)

Thermal conductivity (W/ m K)

T (K)

Ref.

9.5

322

6

41.0 7.4

70 300

5 5

39 9.0

70 300

5 5

11

300

6

7.3

300

6

0.313

562.9

8

Y3Fe5O12

1830

Y3Ga5O12

2100

Y3Sc2Al3O12

2170

0.57

6.5

Y3Sc2Ga3O12

2180

0.534

8.1

ZnCl2

563

0.525

ZnF2

1140

0.63

ZnGeAs2

1150

ZnGeP2

1225p 1300 2248

0.495

α-ZnS

2100

0.4723

6.54 || a 4.59 || c

β-ZnS

1293p

0.4732

6.8

16.7

300

2

ZnSe

1790

0.339

7.1

13

300

2

ZnSnAs2

1048

15

300

3

ZnSnSb2

870

7.6

300

3

ZnO

10.4

9.8

7.8 || a 5.0 || c 6.5 || a 3.7 || c

1 11

300

3

18

300

30 15

300 500

3 3 2 2 2 2

ZnTe ZrO2

1510 ~3000

0.218 0.42

8.4 8.8

10 10.5

300 260

1 1

ZrO2:

3110

0.46

10.2

1.8

300

2

1.9

500

2

6.3

300

1

12%Y2O3 ZrSiO4

2820

2.7

p – phase change, d – decomposes

References: 1. Ballard, S. S. and Browder, J. S., Thermal properties, Handbook of Laser Science and Technology, Vol. IV, Optical Materials, Part 2 (CRC Press, Boca Raton, FL, 1986), p. 49. 2. Tropf, W. J., Thomas, M. F., and Harris, T. J., Properties of crystals and glasses, Handbook of Optics, Vol. 2 (McGraw-Hill, New York, 1995), p. 33.51. 3. Berger, L. I. and Pamplin, B. R., Properties of semiconductors, CRC Handbook of Chemistry and Physics, 82nd edition, Lide, D. R., Ed. (CRC Press, Boca Raton, FL, 2001), p. 12-87. 4. Powell, R. L. and Childs, G. E., American Institute of Physics Handbook, 3rd Edition, Gray, D. E., Ed. (McGraw-Hill, New York, 1972).

© 2003 by CRC Press LLC

Section 1: Crystalline Materials

133

5. DeShazer, L. G.,Rand, S. C., and Wechsler, B. A., Laser crystals, Handbook of Laser Science and Technology,Vol. V: Optical Materials, Part 3 (CRC Press, Boca Raton, FL, 2000), p. 595. 6. Wechsler, B. A. and Sumida, D. S., Laser crystals, Handbook of Laser Science and Technology, Suppl. 2: Optical Materials (CRC Press, Boca Raton, FL, 2000), p. 595. 7. Browder, J. S., Ballard, S. S., and Klocek, P., Physical property comparisons of infrared optical materials, Handbook of Infrared Optical Materials (Marcel Dekker, New York, 1991).

1.5.2 Temperature Dependence of Heat Capacity for Selected Solids Temperature dependence of the molar heat capacity at constant pressure for representative crystalline solids and semiconductors in the range 200 to 600 K. Molar Heat Capacity Cp in J/mol K Name

200 K

250 K

300 K

400 K

500 K

600 K

Al2O3

51.12

67.05

79.45

88.91

106.17

112.55

CaCO3 CaO CsCl Cu2O

66.50

75.66

83.82

91.51

104.52

109.86

33.64 50.13 34.80

38.59 51.34 —

42.18 52.48 42.41

45.07 53.58 44.95

49.33 56.90 49.19

50.72 59.10 50.83

77.01

89.25

99.25

107.65

127.19

136.31

— 48.44 43.35 — 46.89 15.64 32.64

— 50.10 46.08 — 48.85 18.22 39.21

23.25 51.37 48.10 37.38 50.21 20.04 44.77

23.85 52.31 49.66 40.59 51.25 21.28 49.47

24.96 54.71 53.34 45.56 53.96 23.33 59.64

25.45 56.35 55.59 47.30 55.81 24.15 64.42

CuSO4 Ge KCl LiCl MgO NaCl Si SiO2

References: Chase, M. W., et al., JANAF Thermochemical Tables, 3rd ed., J. Phys. Chem. Ref. Data, 14, (1985). Garvin, D., Parker, V. B., and White, H. J., CODATA Thermodynamic Tables (Hemisphere Press, New York, 1987). DIPPR Database of Pure Compound Properties, Design Institute for Physical Properties Data, (American Institute of Chemical Engineers, New York, 1987).

1.5.3 Debye Temperature References: 1. Tropf, W. J., Thomas, M. F., and Harris, T. J., Properties of crystals and glasses, Handbook of Optics, Vol. II (McGraw-Hill, New York, 1995), p. 33.51. 2. Physics, 82nd edition, Lide, D. R., Ed. (CRC Press, Boca Raton, FL, 2001), p. 12-87.

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134

Handbook of Optical Materials

Material

Debye temperature (K)

Ref.

AgBr AgCl AgGaS2 AgGaSe2 AgGaTe2 β-AgI Al2O3 AlAs AlN AlP AlSb BaF2 BeO BN BP C (diamond) CaF2 CdGeS2 CdS CdSe CdSiP2 CdSnP2 CdTe CsBr CsCl CsI Cu2GeS3 Cu2GeSe3 Cu2SnS3 Cu2SnSe3 Cu3AsSe4 Cu3SbSe4 CuCl CuGaS2 CuInTe2 GaAs GaP GaSb Ge HgTe InP InAs

145 162 255 156 212 116 1030 417 950 588 292 283 1280 1900 985 2240 510 253 215 181 282 195 160 145 175 124 254 168 214 148 169 212 179 356 195 344 460 320 380 242 321 249

1 1 1 1 2 1 1 2 1 2 2 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 2 2 2 2 2 2 1 1 2 1 1 2 1 2 2 2

© 2003 by CRC Press LLC

Material InSb KBr KCl KF KI KTaO3 LaF3 LiF LiNbO3 MgAl2O4 MgF2 MgO NaBr NaCl NaF NaI PbF2 PbS PbSe PbTe Se Si β-SiC SiO2, α-quartz SrF2 Te TiO2 Tl[Br,Cl], KRS-6 Tl[Br,I] KRS-5 TlBr TlCl Y2 O3 Y3Al5O12 ZnGeAs2 ZnGeP2 ZnO α-ZnS β-ZnS ZnSe ZnTe ZrO2:12%Y2O3

Debye temperature (K)

Ref.

144 174 235 336 132 311 392 735 560 850 535 950 225 321 492 164 225 227 138 125 151 645 1000 271 378 152 760 120 110 116 126 465 754 271 428 416 351 340 270 225 563

2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1

Section 1: Crystalline Materials

135

1.6 Magnetooptic Properties 1.6.1 Diamagnetic Materials Verdet Constants V of Diamagnetic Crystals (room temperature)* Wavelength Crystal AgBr AgCl Al2O3 BaF2 Ba(NO3)2 BaTaO3 (403 K)

BaTiO3 Bi4Ge3O12

Bi12GeO20 C (diamond) CaCO3 CaF2 CsBr CsCl CsCN CsF CsH2AsO4 CsI CsNO2 CuCl Cu2O GaP GaSe

© 2003 by CRC Press LLC

(nm) 633 633 546 589 633 633 427 496 620 826 620 442 633 633 1064 1064 633 589 633 589 589 633 633 633 633 633 633 633 633 546 633 633 633 633

V

CTE α

(rad/(m T))

(10–6/K)

26.8 22.8 4.0 3.5 3.75 2.9 276 111 52.4 21.0 –51.0 84.1 30.1 28.8 7.6 7.5 60.3 6.8 5.81 5.6 5.6 2.49 10.8 8.3 5.51 4.71 6.49 17.4 4.24 58.1 31.9 147 154 22

30

19 17.5

(1/V)dVdT + α (10–4/K)

3.2

–0.2 0.7

2.0

1.4 0.87 0 19 47 46 33

0.9 0.8 0.7 3 0.3

49

2.5

30 0 5.81

3.0 5.2 3.3

Ref. 1 1 3 3 1 1 16 16 16 16 3 4 2 4 4 4 1 5 1 6 4 1 1 1 1 1 7 1 1 8 1 1 1 9

136

Handbook of Optical Materials Verdet Constants of Diamagnetic Crystals—continued Wavelength

Crystal Gd3Al5O12 Hg3Te2Cl2 KAl(SO4)•12 H2O KBr

KCl KCN KH2PO4 KH2AsO4 KI

KTaO3

LaF3 (H || c)

LiBaF3 LiBr LiCl LiF LiH MgAl2O4 MgO NaBr NaCl

NaClO3 NaI NH4 NH4Al(SO4)•12 H2O NH4Br

© 2003 by CRC Press LLC

(nm) 633 633 589 546 589 633 633 633 633 633 546 589 633 352 413 496 620 826 325 442 633 1064 633 633 633 633 633 589 633 633 546 633 546 589 633 546 589 633 633 589 589 633

V

CTE α

(rad/(m T))

(10–6/K)

13.3 83 3.6 14.5 12.4 10.1 6.68 3.89 3.72 69.3 24.1 20.4 17.5 128 55 28 –14 6.4 16 8.1 3.5 1.8 3.72 14.2 9.3 2.33 24.6 6.1 7.6 9.2 18.1 13.2 11.9 10.0 8.5 3.1 2.4 22.5 12.6 3.7 14.7 8.9

3.35

38.4 36.2 49

(1/V)dVdT + α (10–4/K)

Ref.

–2.2

1 1 13 10 10 1 1 1 7 7 10 10 1 13 13 13 3 13 4 4 4 4 1 1 1 1 1 14 1 1 13 1 10 10 1 13 13 1 1 13 13 1

1.0 2.1 0.5

2.2

43

27 38 35 25 32

0.7 2 1.3 3.0 1.7

8.82 13

0.9 1.7 1.8

39.8

1.2

43 53

1.9 2

48

0.9

Section 1: Crystalline Materials

137

Verdet Constants V of Diamagnetic Crystals—continued Wavelength Crystal NH4Cl

NH4H2AsO4 NH4H2PO4 NH4I NiSO4•H2O RbH2PO4 RbH2AsO4 SiO2 Sm3Ga5O12 SrTiO3

TiO2 Y3Ga5O12 ZnS

ZnSe

ZnTe

(nm) 546 589 633 633 633 633 546 589 633 633 546 589 633 413 496 633 826 620 633 546 589 633 476 496 514 587 633 633

V

CTE α

(rad/(m T))

(10–6/K)

11.9 10.5 6.60 69.3 40.2 18.3 7.4 6.4 3.72 6.17 5.6 4.9 11.8 227 90.2 –49.0 –19.2 –45 11.7 83.4 65.8 52.8 436 302 244 154 118 188

37

6.39

9.4

5

(1/V)dVdT + α (10–4/K)

3.0

1.24

–1.8

1.23

10.0

3.7

Ref. 13 13 7 15 15 1 14 14 7 7 11 11 1 16 16 1 3 3 1 5 5 1 12 12 12 12 12 1

* The above table was adapted from Deeter, M. N., Day, G. W., and Rose, A. H., Magnetooptic materials: crystals and glasses, Handbook of Laser Science and Technology, Suppl. 2: Optical Materials (CRC Press, Boca Raton, FL, 1995), p. 367, with additions.

References: 1. 2. 3. 4.

5. 6.

Haussühl, S., and Effgen, W., Faraday effect in cubic crystals, Z. Kristallogr., 183, 153 (1988). Baer, W. S., Intraband Faraday rotation in some perovskite oxides, J. Phys. Chem. Solids, 28, 677 (1977). Ramaseshan, S., Faraday effect and birefringence, II–Corundum, Proc. Indian Acad. Sci. A, 34, 97 (1951). W eb er, M . J. , F arad ay ro tato r m ateri als fo r laser sy stem s, P ro c. S o c. P h o to O p t. In stru m . E n g ., 6 8 1 , 7 5 (1 9 8 6 ), an d Weber, M. J., Faraday Rotator Materials, Lawrence Livermore Laboratory Report M-103 (1982). Ramaseshan, S., The Faraday effect in diamond, Proc. Indian Acad. Sci. A, 24, 104 (1946). Chauvin, J. Physique, 9, 5, 1890).

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138 7. 8. 9. 10. 11. 12. 13. 14. 15. 16.

Handbook of Optical Materials Munin, E., and Villaverde, A. B., Magneto-optical rotatory dispersion of some non-linear crystals, J. Phys. Condens. Matter, 3, 5099 (1991). Gassmann, G., Negative Faraday effect independent of temperature, Ann. Phys. (Leipzig), 35, 638 (1939). Villaverde, A.B., and Donnati, D. A., GaSe Faraday rotation near the absorption edge, J. Chem Phys., 72, 5341 (1980). Ramaseshan, S., The Faraday effect and magneto-optic anomaly of some cubic crystals, Proc. Ind. Acad. Sci. A, 28, 360 (1948). Ramaseshan, S., Determination of the magneto-optic anomaly of some glasses, Proc. Ind. Acad. Sci. A, 24, 426 (1946). Wunderlich, J. A., and DeShazer, L. G., Visible optical isolator using ZnSe, Appl. Opt., 16, 1584 (1977). Ramaseshan, S., Proc. Indian Acad. Sci., 28, 360 (1948). O’Connor. Beck, and Underwood, Phys. Rev., 60, 443 (1941). Koralewski, M. Phys. Status. Solidi A, 65, K49 (1981). Baer, W. S., J. Chem. Solids 28, 677 (1977).

1.6.2 Paramagnetic Materials Verdet Constants for Representative Paramagnetic Crystals* Crystal 3+

CaF2:Ce (30%)

3+

CaF2:Pr (5%)

CeF3

EuF2

LiTbF4

NdF3

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Wavelength λ (nm) 325 442 633 1064 266 325 442 633 1064 442 633 1064 450 500 550 600 633 650 1064 325 442 633 1064 442 633 1064

Refractive index n 1.516 1.502 1.494 1.489 1.471 1.461 1.451 1.445 1.441 1.613 1.598

1.544 1.518 1.493 1.481 1.473 1.469 1.60 1.59 1.58

V (rad/(m T) –278 –86.4 –32.3 –10.2 –50.1 –23.8 –4.9 –1.31 –306 –118 –33 –1310 –757 –466 –320 –262 –233 –55.3 –553 –285 –128 –38 –161 –60.8 –28.2

Ref. 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 2 1 3 3 3 3 1 1 1

Section 1: Crystalline Materials

139

Verdet Constants for Representative Paramagnetic Crystals—continued Wavelength λ (nm)

Crystal KTb3F10

Refractive index n

325 442 633 1064 500 570 633 830 1064

Tb3Ga5O12

V (rad/(m T)

1.531 1.518 1.510 1.505

Ref.

–633 –272 –112 –33.2 –278 –169 –134 –61 –35

1.976 1.954

3 3 3 3 4 4 1 4 1

* The above table was adapted from Deeter, M. N., Day, G. W., and Rose, A. H., Magnetooptic materials: crystals and glasses, Handbook of Laser Science and Technology, Suppl. 2: Optical Materials (CRC Press, Boca Raton, FL, 1995), p. 367, with additions.

References: 1 . W eb er, M . J. , F arad ay ro tato r m ateri als fo r laser sy stem s, P ro c. S o c. P h o to O p t. In stru m . E n g ., 6 8 1 , 7 5 (1 9 8 6 ); Weber, M. J., Faraday Rotator Materials, Lawrence Livermore Laboratory Report M-103 (1982). 2. Suits, J. C., Argyle, B. E., and Freiser, M. J., Magneto-optical properties of materials containing divalent europium, J. Appl. Phys., 37, 1391 (1966). 3. Weber, M. J., Morgret, R. Leung, S. Y., Griffin, J. A., Gabbe, D., and Linz, A., J. Appl. Phys. 49, 3464 (1978). 4. Dentz, D. J., Puttbach, R. C., and Belt, R. F., Magnetism and Magnetic Materials, AIP Conf. Proc. No. 18 (American Institute of Physics, New York, 1974).

Rare Earth Aluminum Garnets Verdet constant V (rad/T m) at wavelength in nm Material

Temp. (K)

405

450

480

520

578

670

Ref.

Tb3Al5O12

300 77 4.2 1.45 300 300 300 300 298 77

–659.4 — — — –361 –206 –55.0 43.9 83.5 209

–455.4 –29728 — –58476 –274 –93.1 –69.8 30.0 62.6 157

375.4 24284 — –50203 –234 –75.7 –44.8 27.1 54.1 140

–302.3 –997 –18860 –40530 –194 –97.5 –47.1 22.1 40.7 114

–229 –757 –15650 –32380 –151 –87.0 –42.2 17.2 33.8 87.9

–158 –528 –13140 –27185 –104 –59.9 –25.9 — — —

1 1 2 2 1 1 1 1 3 3

Dy3Al5O12 Ho3Al5O12 Er3Al5O12 Tm3Al5O12 Yb3Al5O12

References: 1. 2. 3.

R u b in stein , C . B ., V an U itert, L . G ., an d Grodkiewicz, W. H., J. Appl. Phys. 35, 3069 (1964). Desorbo, W., Phys. Rev. 158, 839 (1967). R u b in stein , C . B . an d B erg er, S . B ., J. Appl. Phys. 36, 3951 (1965).

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140

Handbook of Optical Materials

1.6.3 Ferromagnetic, Antiferromagnetic, and Ferrimagnetic Materials The following symbols are used in the tables below: Tc = Curie temperature

4πMS = saturation induction at 0 K, gauss

Tp = phase transition temperature

F = specific Faraday rotation, deg/cm

TN = Neel temperature

α = absorption coefficient (cm )

T∞ = compensation temperature

λ = measurement wavelength, nm

–1

Transition Metals* Material

Critical

4πMS

F

Absorp.

(structure)

temp.

(gauss)

(deg/cm)

Fe (bcc)

Tc = 1043

21800

4.4 × 10 5 3.5 × 10 5 6.5 × 10 5 7 × 10 5 7 × 10

Co (hcp)

Tc = 1390

18200

2.9 × 10 5 3.6 × 10 5 5.5 × 10 5 5.5 × 10 5 4.8 × 10

Ni (fcc)

Tc = 633

6400

0.8 × 10 5 0.99 × 10 5 2.6 × 10 5 1.5 × 10 5 1 × 10 5 7.2 × 10

Material

Critical

4πMS

5

5

5

Temp. –1

coeff. α (cm )

(K)

λ (nm)

6.5 × 10 5 7.6 × 10 5 5 × 10 5 4.2 × 10 5 3.5 × 10

300 300 300 300 300

500 546 1000 1500 2000

— 5 8.5 × 10 5 6.1 × 10 5 4.5 × 10 5 3.6 × 10

300 300 300 300 300

500 546 1000 1500 2000

— 5 8.0 × 10 5 5.8 × 10 5 4.8 × 10 5 4.1 × 10 4.2

300 300 300 300 300

500 546 1000 1500 2000 4000

Absorp.

Temp.

5

Binary Compounds* F

–1

coeff. α (cm )

(structure)

temp.

(gauss)

(deg/cm)

MnBi (NiAs)

Tc = 639

7700 7500 (300 K)

4.2 × 10 5 5.0 × 10 5 7.0 × 10 5 7.7 × 10 5 7.6 × 10 5 7.5 × 10 5 7.4 × 10

5

6.1 × 10 5 5.8 × 10 5 5.1 × 10 5 4.5 × 10 5 4.3 × 10 5 4.2 × 10 5 4.1 × 10

MnAs (NiAs)

Tc = 313

5

5.0 × 10 5 4.9 × 10

© 2003 by CRC Press LLC

0.44 × 10 5 0.49 × 10

5

5

(K)

λ (nm)

300 300 300 300 300 300 300

450 500 600 700 800 900 1000

300 300

500 600

Section 1: Crystalline Materials

141

Binary Compounds*—continued Material

Critical

4πMS

F

Absorp.

(structure)

temp.

(gauss)

(deg/cm)

coeff. α (cm )

MnAs

Temp. –1

0.78 × 10 5 0.62 × 10

5

4.5 × 10 5 4.4 × 10

5

2.0 × 10 5 1.2 × 10 5 0.6 × 10

5

3.3 × 10

CrTe (NiAs)

Tc = 334

0.5 × 10 5 0.4 × 10 5 0.4 × 10

FeRh

Tp = 334

0.9 × 10

Material

Critical

5

5

5

(K)

λ (nm)

300 300

800 900

300 300 300

550 900 2500

348

700

Ferrites* 4πMS

F

Absorp.

Temp. –1

(structure)

temp.

(gauss)

(deg/cm)

coeff. α (cm )

(K)

λ (nm)

Y3Fe5O12 (garnet)

TN = 560

2500

2400 1750 1250 900 800 750 240 175

1500 1350 1400 670 1150 450 0.069 <0.06

300 300 300 300 300 300 300 300

555 588 625 715 667 770 1200 5000– 1500

Gd3Fe5O12 (garnet)

TN = 564 T∞ = 286

7300

–2000 –1050 –450 –300 –220 –80

6000 900 400 100 230 70

300 300 300 300 300 300

500 600 700 800 900 1000

NiFeO4 (spinel)

TN = 858

3350

2.0 × 10 4 2.4 × 10 4 –0.75 × 10 4 –1.0 × 10 4 0.12 × 10 –120 40 75 110 110

300 300 300 300 300 300 300 300 300 300

286 330 400 500 660 1500 2000 3000 4000 5000

CoFeO4 (spinel)

TN = 793

4930

2.75 × 10 4 3.8 × 10 4 3.6 × 10

300 300 300

286 330 400

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4

5.9 × 10 4 7.4 × 10 4 16 × 10 4 10 × 10 4 1 × 10 38 32 15 15 32

4

4

12 × 10 4 14 × 10 4 17 × 10

4

142

Handbook of Optical Materials Ferrites*—continued

Material (structure)

Critical temp.

4πMS (gauss)

F

Absorp.

(deg/cm) 4

Temp. –1

coeff. α (cm ) 4

(K)

λ (nm)

1.3 × 10 4 –2.5 × 10

13 × 10 4 6 × 10

300 300

500 660

MgFeO4 (spinel)

–60 –40 0 30 35 50

100 40 12 4 6 13

300 300 300 300 300 300

2500 3000 4000 5000 6000 7000

BaFe12O19 (hexagonal)

–50 75 130 150 160 165

38 20 13 20 20 22

300 300 300 300 300 300

2000 3000 4000 5000 6000 7000

Ba2Zn2Fe12O19 (hexagonal)

90 80 75 70

120 70 65 85

300 300 300 300

5000 6000 7000 8000

Halides* Material

Critical

4πMS

F

Absorp.

(structure)

temp.

(gauss)

(deg/cm)

coeff. α (cm )

(K)

λ (nm)

RbNiF3 (perovskite)

TN = 220

1250

360 210 70 –70 310 100 75

35 12 10 30 70 60 25

77 77 77 77 77 77 77

450 500 600 700 800 900 1000

RbFeF3 (perovskite)

Tp = 102

3400 160 950 620 420 300

7 3 4.6 1.5 1.2 2.5

82 82 82 82 82 82

300 400 500 600 700 800

FeF3

Tc = 365

670 415 180

14 8.2 4.4

300 300 300

349 404 522.5

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40 (300 K)

Temp. –1

Section 1: Crystalline Materials

143 Halides*—continued

Material

Critical

4πMS

F

Absorp.

(structure)

temp.

(gauss)

(deg/cm)

CrBr3 (BiI3)

Tc = 32.5

3390

3 × 10 5 1.6 × 10

CrCl3 (BiI3)

Tc = 16.8

3880

2000 –500 –1000

CrI3 (BiI3)

Tc = 68

2690

1.1 × 10 5 0.8 × 10

5

5

Temp. -1

coeff. α (cm )

(K)

λ (nm)

3 × 10 4 1.4 × 10

1.5 1.5

478 500

20 3 30

1.5 1.5 1.5

410 450 590

1.5 1.5

970 1000

3

3

6.3 × 10 3 3 × 10

Borates* Material

Critical

4πMS

F

Absorp.

(structure)

temp.

(gauss)

(deg/cm)

coeff. α (cm )

(K)

λ (nm)

FeBO3 (calcite)

Tc = 115 (300 K)

115

140 40 100 38

300 300 300 300

500 525 600 700

3200 2300 1100 450

Temp. –1

Chalcogenides* Material

Critical

4πMS

F

Absorp.

(structure)

temp.

(gauss)

(deg/cm)

coeff. α (cm )

EuO

Tc = 69

23700

–1.0 × 10

(NaCl)

7500

EuS (NaCl)

Tc = 16.3

EuSe (NaCl)

Tc = 7

*

5

5

3.2 × 10 5 5 × 10 5 3.6 × 10 5 0.5 × 10 4 3 × 10 660 5

–1.6 × 10 5 –9.6 × 10 5 5.5 × 10 5 5.1 × 10 13200

5

1.45 × 10 5 1.17 × 10 5 0.95 × 10

Temp. –1

0.5 × 10

4

(K)

λ (nm)

5

1100

7.5 × 10 4 9.7 × 10 4 9.7 × 10 4 7.8 × 10 5 >0.5 ≥1.0

5 5 5 5 20 20

800 700 600 500 2500 10600

~0 4 3.3 × 10 5 1.2 × 10 5 1.0 × 10

6 6 6 6

825 690 563 495

4.2 4.2 4.2

750 775 800

4

80 70 60

The data in the above tables are from Di Chen, Magnetooptical materials, Handbook of Laser Science and Technology, Vol. IV, Optical Materials, Part 2 (CRC Press, Boca Raton, FL, 1986), p. 287.

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144

Handbook of Optical Materials

Room-Temperature Saturation Kerr Rotation Data for Ferromagnetic Materials Material

Tc (K)

Fe Co Ni FeCo MnBi PtMnSb CeSba

1043 1388 627 NA 633 582 16

λ (nm)

θK (°)

Ref.

633 633 633 633 633 720 2500

–0.41 –0.35 –0.13 –0.54 –0.70 –1.27 14

1 1 1 1 2 3 4

Measured at T = 2 K.

Faraday Rotation Data For Nonmetallic Ferro– and Antiferromagnetic Materials µ0H (T)

Material

Tc (K)

EuO EuSe EuS CrBr3 CdCr2S4 CdCr2Se4 CoCr2S4 YFeO3 FeBO3 UO2

69 7 16 36 84 130 221

0.6 0.45 0.4

348 30.8

4.0

2.1 2.0 0.675

λ (nm) 660 755 670 493 1000 1050 10,600 600 525 276

θ ′F (°/cm) 4.9 × 105 1.4 × 105 5.5 × 105 1 × 105 3800 5.5 × 104 320 ~8 × 103 2300 4.8 × 104

Ref.

Comments

5 6 7 8 9 10 11 12 13 14

1,4 1,2,4,8 1,4 1,5 1,5 1,4 ferri, 4 3,5,7 3,5,7 2,4,8

Comments: (1) ferromagnetic; (2) antiferromagnetic; (3) canted antiferromagnetic; (4) electrically semiconducting; (5) electrically insulating; (6) electrically conducting; (7) birefringent; (8) measured in unsaturated state. (The ferrimagnet CoCr2S4 is included because of its chemical similarity to the ferromagnets CdCr2S4 and CdCr2Se4.)

Saturation Kerr Rotation/Ellipticity Data for Nonmetallic Ferromagnetic Materials Material TmS TmSe US USe UTe CuCr2Se4 CoCr2S4

Tc (K) 5.2 1.85 177 160 104 432 221

µ0H (T) 4 4 4 4 4 2 1.5

λ (nm) 440 540 350 420 830 1290 1800

θK[εK] (°)

Ref.

Comments

[–2.4] [–3.6] [3.4] [4.0] 3.1 [–1.19] –4.6

15 15 16 16 16 17 18

1,6,8 1,6,8 1,6 1,6 1,6 1,6 ferri, 4

For materials which possess greater values of Kerr ellipticity than Kerr rotation, the ellipticity is reported in brackets [ ]. Comments: (1) ferromagnetic; (2) antiferromagnetic; (3) canted antiferromagnetic; (4) electrically semiconducting; (5) electrically insulating; (6) electrically conducting; (7) birefringent; (8) measured in unsaturated state.

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Section 1: Crystalline Materials

145

Room–Temperature Saturation Faraday Rotation and Absorption Data for Selected Iron Garnets at λ = 633 nm Material Y3Fe5O12 Gd3Fe5O12 Bi3Fe5O12 Y3Fe4.07Ga0.93O12 Y3Fe3.54Ga1.46O12 Y2.3Bi0.7Fe5O12 Y0.5Bi2.5Fe5O12 Y2.0Ce1.0Fe5O12

θ ′F ( °/cm)

α (cm–1)

835 345 –5.5 × 104 855 645 –1.25 × 104 –7.5 × 104 2.2 × 104

870 750

Growth technique LPE LPE sputtering LPE flux method flux method MOCVD sputtering

650 530 1000 540

Ref. 25 20 21 19 19 22 23 24

Room–Temperature Saturation Faraday Rotation and Absorption Data for Selected Iron Garnets at λ = 1064 nm Material Y3Fe5O12 Pr3Fe5O12 Nd3Fe5O12 Sm3Fe5O12 Eu3Fe5O12 Gd3Fe5O12 Tb3Fe5O12 Dy3Fe5O12 Ho3Fe5O12 Er3Fe5O12 Gd2.0Bi1.0Fe5O12 Y2.0Ce1.0Fe5O12

θ ′F (°/cm) 280 65 535 15 107 65 535 310 135 120 –3300 –22000

α (cm–1) 9 10

10

< 10 1700

Growth technique flux method flux method flux method flux method flux method flux method flux method flux method flux method flux method flux method sputtering

Ref. 25 26 26 25 25 25 25 25 25 25 27 24

Room–Temperature Saturation Faraday Rotation and Absorption Data for Selected Iron Garnets at λ = 1300 nm Material θ ′F (°/cm) α (cm–1) Growth technique Ref. Y3Fe5O12 Gd3Fe5O12 Tb3Fe5O12 Dy3Fe5O12 Tm3Fe5O12 Pr3Fe5O12 Nd3Fe5O12 Y1.7Bi1.3Fe5O12 Gd2.0Bi1.0Fe5O12 Y2.0Ce1.0Fe5O12

210 60 320 175 110 –1060 –690 –2100 –2100 –120000

0.3 1.0

70 < 50 < 10 250

flux method flux method flux method flux method flux method flux method LPE LPE flux method sputtering

28 28 26 26 26 26 26 29 27 24

LPE (liquid phase epitaxy), sputtering, and MOCVD (metal–organic chemical vapor deposition) are thin–film growth techniques. The flux method yields bulk crystals.

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146

Handbook of Optical Materials

The preceding tables were adapted from Deeter, M. N., Day, G. W., and Rose, A. H., Magnetooptic materials: crystals and glasses, Handbook of Laser Science and Technology, Suppl. 2: Optical Materials (CRC Press, Boca Raton, FL, 1995), p. 367 (with additions).

References: 1. 2. 3. 4. 5. 6. 7. 8. 9.

10. 11. 12. 13. 14. 15.

16. 17.

18. 19. 20. 21.

Buschow, K. H. J., Van Engen, P. G., and Jongebreur, R., Magneto–optical properties of metallic ferromagnetic materials, J. Magn. Magn. Mater., 38, 1 (1983). Egashira, K., and Yamada, T., Kerr–effect enhancement and improvement of readout characteristics in MnBi film memory, J. Appl. Phys., 45, 3643 (1974). Van Engen, P. G., Buschow, K. H. J., and Jongebreur, R., PtMnSb, a material with very high magneto–optical Kerr effect, Appl. Phys. Lett., 42, 202 (1983). Reim, W., Schoenes, J., Hulliger, F., and Vogt, O., Giant Kerr rotation and electronic structure of CeSbxTe1–x, J. Magn. Magn. Mater, 54–57, 1401 (1986). Dimmock, J. O., Optical properties of the europium chalcogenides, IBM J. Res. Dev., 14, 301 (1970), and references therein. Suits, J. C., Argyle, B. E., and Freiser, M. J., Magneto–optical properties of materials containing divalent europium, J. Appl. Phys., 37, 1391 (1966). Guntherodt, G., Schoenes, J., and Wachter, P., Optical constants of the Eu chalcogenides above and below the magnetic ordering temperatures, J. Appl. Phys., 41, 1083 (1970). Dillon, J. F., Jr., Kamimura, H., and Remeika, J, P., Magneto–optical studies of chromium tribromide, J. Appl. Phys., 34, 1240 (1963). Ahrenkiel, R. K., Moser, F., Carnall, E., Martin, T., Pearlman, D., Lyu, S. L., Coburn, T., and Lee, T. H., Hot–pressed CdCr2S4: an efficient magneto–optic material, Appl. Phys. Lett., 18, 171 (1971). Golik, L. L., Kun’kova, Z. É., Aminov, T. G., and Kalinnikov, V. T., Magnetooptic properties of CdCr2Se4 single crystals near the absorption edge, Sov. Phys. Solid State, 22, 512 (1980). Jacobs, S. D., Faraday rotation, optical isolation, and modulation at 10.6 µm using hot–pressed CdCr2S4 and CoCr2S4, J. Electron. Mater., 4, 223 (1975). Tabor, W. J., Anderson, A. W., and Van Uitert, L. G., Visible and infrared Faraday rotation and birefringence of single–crystal rare–earth orthoferrites, J. Appl. Phys., 41, 3018 (1970). Kurtzig, A. J., Wolfe, R., LeCraw, R. C., and Nielsen, J. W., Magneto–optical properties of a green room–temperature ferromagnet: FeBO3, Appl. Phys. Lett., 14, 350 (1969). Reim, W., and Schoenes, J., Magneto–optical study of the 5f 2 → 5f 16d 1 transition in UO2 , Solid State Commun., 39, 1101 (1981). Reim, W., Hüsser, O. E., Schoenes, J., Kaldis, E., Wachter, P., Seiler, K., and W. Reim, , First magneto–optical observation of an exchange–induced plasma edge splitting, J. Appl. Phys., 55, 2155 (1984). Reim, W., Schoenes, J., and Vogt, O., Magneto–optics and electronic structure of uranium monochalcogenides, J. Appl. Phys., 55, 1853 (1984). Brändle, H., Schoenes, J., Wachter, P., Hulliger, F., and Reim, W., Large room–temperature magneto–optical Kerr effect in CuCr2Se4–xBrx, x = 0 and 0.3, J. Magn. Magn. Mater., 93, 207 (1991). Ahrenkiel R. K., and Coburn, T. J., Hot–pressed CoCr2S4: a magneto–optical memory material, Appl. Phys. Lett., 22, 340 (1973). Hansen, P., and Witter, K., Magneto–optical properties of gallium–substituted yttrium iron garnets, Phys. Rev. B, 27, 1498 (1983). Hansen, P., Witter, K., and Tolksdorf, W., Magnetic and magneto–optical properties of bismuth–substituted gadolinium iron garnet films, Phys. Rev. B, 27, 4375 (1983). Okuda, T., Katayama, T., Satoh, K., and Yamamoto, H., Preparation of polycrystalline Bi3Fe5O12 garnet films, J. Appl. Phys., 69, 4580 (1991).

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Section 1: Crystalline Materials 22. 23.

24. 25. 26. 27. 28. 29.

147

Scott, G. B., and Lacklison, D. E., Magnetooptic properties and applications of bismuth substituted iron garnets, IEEE Trans. Magn., MAG–12, 292 (1976). Okada, M., Katayama, S., and Tominaga, K., Preparation and magneto–optic properties of Bi–substituted yttrium iron garnet thin films by metalorganic chemical vapor deposition, J. Appl. Phys., 69, 3566 (1991). Gomi, M., Satoh, K., Furuyama, H., and Abe, M., Sputter deposition of Ce–substituted iron garnet films with giant magneto–optical effect, IEEE Transl. J. Magn. Jpn., 5, 294 (1990). Wemple, S. H., Dillon, J. F., Jr., Van Uitert, L. G., and Grodkiewicz, W. H., Iron garnet crystals for magneto–optic light modulators at 1.064 µm, Appl. Phys. Lett., 22, 331 (1973). Dillon, J. F., Jr., Albiston, S. D., and Fratello, V. J., Magnetooptical rotation of PrIG and NdIG, in Advances in Magneto–Optics (Magnetics Society of Japan, Tokyo, 1987), p. 241. Takeuchi, H., Ito, S., Mikami, I., and Taniguchi, S., Faraday rotation and optical absorption of a single crystal of bismuth–substituted gadolinium iron garnet, J. Appl. Phys., 44, 4789 (1973). Booth, R. C. and White, E. A. D., Magneto–optic properties of rare earth iron garnet crystals in the wavelength range 1.1–1.7 µm & their use in device fabrication, J. Phys. D., 17, 579 (1984). K am ad a, O ., M in em o to , H . , an d Ish izu k a, S ., A p p l icatio n o f b ism u th – su b st itu ted iro n g arn et film s to m ag n etic field sen so rs, In A d va n ces in M a g n eto – O p tics (T h e M ag n etics S o ciety o f J ap an , T o k y o , 1 9 8 7 ), p . 4 0 1 . a

Faraday Rotation and Magnetooptic Properties of Orthoferrites

Intrinsic specific Faraday rotation (deg/cm) at 300 K 4πMS

b

Material

(gauss)

EuFeO3 GdFeO3 TbFeO3 DyFeO3 HoFeO3 ErFeO3 TmFeO3 YbFeO3 LuFeO3

83 94 137 128 91 81 140 143 119

SmFeO3 YFeO3 LaFeO3 PrFeO3 NdFeO3

84 105 83 71 62

Abs. –1

600 nm 800 nm 1000 nm 1200 nm 1400 nm 1600 nm coeff. (cm )

8000

3400

2200

|| c 1000

700

|| a 400

800

300

700

200

600

~38 ~10 ~29 ~40 ~10 ~15 ~5 ~12.5 ~5

150

~50 ~10 ~10 ~35 ~10

c

a Strong natural birefringence interferes with the Faraday effect. b Saturation induction. c

At a wavelength of 1250 nm.

References: Bobeck, A. H., Fisher, R. F., Perneski, A. J., Remeika, J. P., and Van Uitert, L. G., IEEE Trans.Magn. MAG–5, 544 (1969). Tabor, W. J., Anderson, A. W., and Van Uitert, L. G., J. Appl. Phys. 41, 3018 (1970). Chetkin, M. V. and Shcherbakov, A., Sov. Phys. Solid State 11, 1313 (1969).

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1.7 Electrooptic Properties 1.7.1 Linear Electrooptic Coefficients The linear electrooptic effect occurs in acentric crystals. Only 21 acentric groups (those lacking a center of inversion) may have nonvanishing coefficients. Reduced electrooptic matrix forms are given in the two references below. If the electrooptic coefficient rij is determined at constant strain (by making the measurement at high frequencies well above acoustic resonances of the sample) the crystal is clamped, as indicated by S. If the rij is determined at constant stress (at low frequencies well below the acoustic resonances of the sample) the sample is free, as indicated by T. The electrooptic coefficients are generally those for room temperature. Typical accuracies for rij are ±15%. Unless shown explicitly, the signs of rij have not been determined. As a rule, rij has little optical wavelength dependence in the transparent region of the crystal. The following tables were adapted from: Kaminow, I. P., Linear Electrooptic Materials, Handbook of Laser Science and Technology, Vol. IV (CRC Press, Boca Raton, FL, 1986), p. 253. Holland, W. R. and Kaminow, I. P., Linear Electrooptic Materials, Handbook of Laser Science and Technology, Suppl. 2 (CRC Press, Boca Raton, FL, 1995), p. 133. A comprehensive table of electrooptic constants including extensive data on refractive indices and curves of wavelength and temperature dependence of electrooptic coefficients is given in Cook, W. R., Hearmon, R. F. S., Jaffe, H., and Nelson, D. F., Piezooptic and electrooptic coefficient constants, Landolt-Börstein, Group III, Vol. 11, Hellewege, K.-H. and Hellewege, A. M., Eds. (Springer-Verlag, New York, 1979), p. 495. The following tables are divided according to the general structure of the electrooptic materials, i.e., tetrahedally coordinated binary AB compounds that are semiconductors, ABO3-type compounds that are ferroelectric or pyroelectric, isomorphs of ferroelectric KH2PO4 and antiferroelectric NH4H2PO4, other compounds that do not fit the previous categories, and organic compounds. Although nonlinear optic coefficients have been measured for many organic crystal and can be converted to equivalent electrooptic coefficients, only direct phase retardation measurements of the electrooptic effect are included in the last table. AB-Type Compounds Material CdS

Symmetry

T/S

6mm

T T T S S T T

© 2003 by CRC Press LLC

Electrooptic coeff.*

Wavelength

rij (10-12 m/V)

λ (µm)

rc = 4

0.589

r51 = 3.7 rc = 5.5 r33 = 2.4 r13 = 1.1 rc = 4.8 ± 0.2 r42 = 1.6 ± 0.2

0.589 10.6 0.633

Section 1: Crystalline Materials

149

AB-Type Compounds—continued Material

Symmetry

CdS

CdSe

6mm

T/S

Electrooptic coeff.*

Wavelength

rij (10-12 m/V)

λ (µm)

T T T T T T T T T T T T

r33 = 3.2 ±0.2 r13 = 3.1 ± 0.2 rc = 6.2 ± 0.2 r42 = 2.0 ± 0.2 r33 = 2.9 ± 0.1 r13 = 3.5 ± 0.1 rc = 6.5 ± 0.2 r42 = 2.0 ± 0.2 r33 = 2.75 ± 0.08 r13 = 2.45 ± 0.08 rc = 5.2 ± 0.3 r42 = 1.7 ± 0.3

1.15

S S

r33 = 4.3

3.39

3.39

10.6

r13 = 1.8 3

CdS0.75Se0.25

6mm

T

n1 rc = 70

0.63

CdTe

-43m

T T

r41 = 6.8

3.39

r41 = 6.8

10.6

T

r41 = 5.5

23.35

T

r41 = 5.0

27.95

S

n0 r41 = 100 ± 10

10.6

T S

r41 = 0.85

0.525

r41 = -2.5

0.63

S

r41 = -3.0

1.15

S

r41 = -3.0

3.39

T T

r41 = 3.6 r41 = 3.2

0.633 10.6

S

r41 = 2.35

0.633

S

r41 = 2.20

3.39

S

r41 = -2.35

0.63

S

r41 = -2.5

3.39

T

r41 = -5

0.55

CuBr

CuCl

-43m

-43m

3

3

CuI

-43m

T

n0 r41 = 30

0.63

GaAs

-43m

S S

r41 = 1.2

0.9–1.08

r41 = -1.5

3.39

S+T

r41 = 1.2 – 1.6

1.0 – 3.0

T

r41 = 1.0 – 1.2

2.0 – 12.0

T

r41 = 1.6

10.6

S

r41 = -1.33

1.06

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Handbook of Optical Materials

AB-Type Compounds—continued Material

Symmetry

GaAs

T/S

Electrooptic coeff.*

Wavelength

rij (10-12 m/V)

λ (µm)

T

r41 = 1.24 ± 0.04

3.39

T

r41 = 1.51 ± 0.05

10.6

GaP

-43m

S T S

r41 = -1.07 – -0.97 r41 = 0.79–0.80 (200 Hz) r41 = 0.95–0.87 (9.45 GHz)

0.56 – 3.39 0.552 – 1.15

GaSe

-6m2

T T

r22 = 22 n13r22 = 27.5

0.63 1.06

HgS

32

S S S S

r11 = 3.1 r41 = 1.4 r11 = 4.2 r41 = 2.4

0.633 0.633 3.39 3.39

InP

-43m

S S

r41 = -1.34 r41 = -1.68

1.06 1.50

β-SiC

43m

T

r41,52,63 = 2.7±0.5

0.633

ZnO

6mm

S

r33 = +2.6 r13 = -1.4 r33 = +1.9 r13 = +0.96 r51 = -3.1 r31 - r33 = -1.4

0.633 0.633 3.39 3.39 0.4 0.4

T T

r41 = 1.2

0.4

r41 = 2.1

0.65

S

r41 = 1.6

0.633

S

r41 = 1.4

3.39

T

r41 = -1.9

0.63

T S

r41 = 2.0

0.546

r41 = 2.0

0.633

T

r41 = 2.2

10.6

T

r41 = 1.9

0.55

T T

r41 = 4.45 – 3.95

0.59 – 0.69

r41 = 1.4

10.6

S

r41 = 4.3

0.633

S

r41 = 3.2

3.39

T

r41 = 4.2 ± 0.3 r41 = 3.9 ± 0.2

10.6

S

T ZnS

-43m

ZnS

6mm

ZnTe

-43m

T 3

3

* rc = r33 – (n1 / n3 )r33

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3.41

Section 1: Crystalline Materials

151

ABO3-Type Compounds Material BaxNaNb5O15

Symmetry

Electrooptic coeff.*

Wavelength

rij (10-12 m/V)

λ (µm)

T/S

mm2

rC = 34

0.633

r33 = 48 r42 = 92 r13 = 15 r33 = +29 42 = 75 r13 = 6.1 3

n3 r33 = 265 3

n1 r13 = 76 Ba2-ySryKxNa1-xNb5O15 (0.5<x<0.75) (0.6
no3 ro = 730

4mm

Ba1.5Sr0.5K0.75Na0.25Nb5O15

4mm

r33 = 110 r51 = 250

Ba0.5Sr1.5K0.5Na0.75Nb5O15

4mm

r33 = 180 r51 = 300

Ba0.5Sr1.5K0.25Na0.75Nb5O15

4mm

r33 = 200

BaTiO3

4mm

KNbO5

KSrxNb5O15

© 2003 by CRC Press LLC

0.561

T T T T T S S S S S

r13 = 19.5 ± 1 r33 = 97 ± 7 rc = 76 ± 7 rc = 108 r51 = 1640 rc = 23 r51 = 820 rc = 19 r33 = 28 r13 = 8

0.5145

mm2

S S S S S T T T T

r33 =25 ± 8 r42 = 270 ± 40 r13 = 10 ± 2 r51 = 23 ± 3 r23 = 2 ± 1 r33 = 64 ± 5 r42 = 380 ± 50 r13 = 28 ± 2 r51 = 105 ± 13 r23 = +1.3 ± 0.5

0.633

4mm or 4

T

rc =130

0.633

0.546

0.633

152

Handbook of Optical Materials

ABO3-Type Compounds—continued Material LiIO3

LiNbO5

LiTaO5

© 2003 by CRC Press LLC

Electrooptic coeff.*

Wavelength

rij (10-12 m/V)

λ (µm)

Symmetry

T/S

6

S S S S

r33 = +6.4 r41 = 1.4 r13 = +4.1 r51 = +3.3

0.633

3m

T T T T T T T T T S S S S S S S S S S S S S S

rc = 17.4 r22 = 6.8 r51 = 32 r33 = +32.2 r13 = +10 rc = 17 r22 = 5.7 rc = 16 r22 = 3.1 r33 = +30.6 r13 = +8.6 r51 = +28 r33 = 28 r22 = 3.1 r13 = 65 r51 = 23 r33 = +28.8 r51 = +18.2 r13 = +7.68 r33 = 27.2 r13 = +6.65 r33 = +25.5 r13 = +5.32

0.633

T S S S S S S S S S S S S T T

rc = 22 r33 = 30.3 r51 = 20 r33 = 27 r51 = 15 r13 = 4.5 r22 = 0.3 r13 = 6.2 r33 = 26.7 r51 = 8.9 r13 = 5.2 r33 = 25.2 r13 = 4.4 r33 = 30.5 ± 2 r13 = 8.4 ± 0.9

3m

1.15 3.39 0.633

3.39

0.633

1.152 3.391

0.633

3.39

1.152

3.39 0.633

Section 1: Crystalline Materials

153

ABO3-Type Compounds—continued Material

Symmetry

K5Li2Nb5O15

4mm

KTaxNb1-xO5

4mm

Lay(Sr.5Ba0.5)1-1.5yNb2O6 (0
4mm

T/S

T T

Electrooptic coeff.*

Wavelength

rij (10-12 m/V)

λ (µm)

r33 = 78 r13 = 8.9

0.633

rc = 450 r51 = +50

0.633

rc = 145-669

0.6328

rc = r33–(n1/n3)3r13 PbTiO5

4mm

S S

r33 = 5.9 r13 = 13.8

0.633

Sr0.61Ba.0.39Nb2O6

4mm

T T

r13 = 47±5 r33 = 235±21

0.5145

Sr0.75Ba.0.25Nb2O6

4mm

T T T T S

rc = 1410 r33 = 1340 r51 = 42 r15 = 67 rc = 1090

0.633

Sr0.5Ba.0.5Nb2O6

4mm

T

rc = 218

0.633

Sr0.46Ba.0.54Nb2O6

4mm

T T

r33 = 35 ± 3 r13 = 180 ± 30

0.633

Sr0.3Ba.0.79Nb2O6

4mm

T

r13 = -266 r33 = +113

0.633

3

3

* rc = r33 – (n1 / n3 )r33

KDP- and ADP-Type Compounds Material KH2PO4 (KDP)

Symmetry* -42m

T/S

Electrooptic coeff.

Wavelength

rij (10-12 m/V)

λ (µm)

T T S

r63 = 9.4 ± 0.4 r41 = +8.6 r63 = 8.8

0.633

KD2PO4 (DKDP)

-42m

T T T S

r63 = 23.8 ± 0.6 r41 = 8.8 r61 < 0 r63 = 24.0

0.633

KH2AsO4 (KDA)

-42m

T T

r63 = 10.9 r41 = = 12.5

0.633

KD2AsO4 (DKDA)

-42m

T

r63 = 18.2

0.633

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154

Handbook of Optical Materials

KDP- and ADP-Type Compounds—continued Material

Symmetry*

Electrooptic coeff.

Wavelength

rij (10-12 m/V)

λ (µm)

T/S

RbH2PO4 (RDP)

-42m

T S

r63= 15.5 r63 = 0.91

0633

RbH2AsO4 (RDA)

-42m

T

r63 = 13.0

0.633

RbD2AsO4 (DRDA)

-42m

T

r63 = 21.4

0633

CsH2AsO4 (CDA)

-42m

T

r63 = 18.6

0633

CsD2AsO4 (DCDA)

-42m

T

r63 = 36.6

0633

NH4H2PO4 (ADP)

-42m

T T S

r63 = -8.5 r41 = 24.5 r63 = 5.5

0633

NH4D2PO4 (DADP)

-42m

T

r63 = 11.9

0633

NH4H2AsO4 (ADa)

-42m

T

r63 = 9.2

0633

* Above Tc

Other Compounds Material AgGaS2

Symmetry -42m

T/S T

Electrooptic coeff..

Wavelength

rij (10-12 m/V)

λ (µm)

T

r63 = 3.0 r41 = 4.0

0.633

AgGaSe2

-42m

T T T T

r63 = 6.9 r41 = 4.5 3 n r63 = 76 3 n r41 = 85

(CH3NH3)5Bi2Br11

mm2

T

1/2 (n3 r33– n2 r23)=5.8±0.8

BaB2O4 (BBO)

3m

1.15

3

3

3

3

0.6328

T

1/2 (n3 r33– n1 r13)=3.5±0.7

T

r22 = 2.7±0.4 r31 = 0 r61 = 0.055 r22 = 2.5±0.1 rc = 0.17±0.02 r22 = 2.1±0.3 rc = 0.11±0.02

0.6328

T T T T S S Bi4Ge3O20 (BGO)

23

T T

r41 = 1.03 r41 = 0.95

0.45–0.62 0.63

Bi4Si3O20

23

T

r41 = 0.54

0.63

Bi40Ga2O63

23

T

n0 r41 = 54.9

© 2003 by CRC Press LLC

3

0.633

Section 1: Crystalline Materials

155

Other Compounds—continued Material Bi12GeO20

Symmetry 23

(BGO) Bi12SiO20

23

T

(BSO) Bi12TiO20

r41 = 3.67 ± 0.11 r41 = 3.29 ± 0.10

0.633

r41 = 4.1 ± 0.1 r41 = 4.25 ± 0.13

0.650

0.633

r41 = 5.75 ± 0.10 r41 = 3.81 ± 0.11

2

T T S S S S S S

r22 – (n1/n2) r12 = 12 3 r22 – (n1/n3) r32 = 14 3 r22 – (n3/n2) r32 = 0.6 r12 = 6.7 r22 = 25.5

-4

CHI3•3S8

3m

Cs3Sr[Cu2(SCN)9]

42m

CuGaS2

-42m

Gd2(MoO4)3 (450 K)

λ (µm)

T

S CdGaS2

Wavelength

rij (10-12 m/V)

23

(BTO) Ca2Nb2O7

Electrooptic coeff.. T/S

-42m

T T

3

0.850

0.633

0.63

r32 = 6.4 r13 = 0.37 r41 =2.7 r52 = <0.6 r63 = 0.9 r13 = 0.37

0.50

r63 = 3.5 r12 = 4.4 ± 2.5 r13 = – 0.512 r33 = 0.29 ± 0.12

0.633

T

r63 = +0.06±.002

0.633

S S S S S S

r63 = +1.35 r41 = +1.76

0.63

r63 = +1.66 r41 = +1.9

1.15

T

n1 r63 = 17

3

r63n0 r41 r41 = +1.1

3.39

3 3

3

0.633

Gd2(MoO4)3 (30 K)

mm2

T

n1 r13 – n3 r33 = 17.5

0.633

KTiOAsO4

mm2

T

r33 = 40±1 r33 = 21±1 r13 = 15±1

0.6328

r13 = +9.5±0.5 r23 = +15.7±0.8 r42 = 9.3±0.9 r13 = +8.8±0.8 r23 = +13.8±1.4

0.6328

(KTA)

KTiOPO4 (KTP)

T T mm2

T T T S S

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Handbook of Optical Materials

Other Compounds—continued Material

Symmetry

KTiOPO4

T/S

Electrooptic coeff..

Wavelength

rij (10-12 m/V)

λ (µm)

S S

r33 = +35.0±3.5 r51 = 6.9±1.4

S

r42 = 8.8±1.8

K2Mg2(SO4)3

23

T

r41 = 0.40

0.546

K2Mn2(SO4)3

23

T

r41 = 2.0

0.453–0.642

K2Ni2(SO4)3

23

T

r41 = 0.4

0.453–0.642

K2 S 2 O6

32

T

r11 = 0.26

0.546

LiInS2

mm2

T

r33 – (n1 /n3 )r13 = +0.67 3 3 r33 – (n2 /n3 )r23 = +0.60

LiInSe2

mm2

T

r33 – (n1 /n3 )r13 = +1.39 3 3 r33 – (n2 /n3 )r23 = +1.55

0.63

LiKSO4

6

T

rc = 1.6

0.546

LiNaSO4

3m

T

r22 = <0.02

0.546

NaClO3

23

T

r41 = 0.4

3

3

3

3

0.63

0.589 3

NaNO2

mm2

T T T T T

r22 – (n1/n)) r32 = 4.1 3 r32 – (n1/n)) r12 = 4.2 3 r22 – (n1/n2) r12 = 0.6 r43 = -1.9 r61 = -3.0

Na2SbS4•9H2O

23

T T T T

n1 r41 = 5.66 3 n1 r41 = 5.62 r22 = 0.82 r22 = 0.77

0.42 1.08 0.52 0.60

(NH4)3Cd2(SO4)3

23

T

r41 = 0.70

0.546

(NH2) 2CO

-42m

T T

r63 = 0.52 r41 = 0.50

0.63

(NH4)3Mn2(SO4)3

23

T

r41 = 0.53

0.546

Pb5Ge3O11

3

T T T T T T T

r11 = 0.27 r22 = 0.23 r13 = 10.5 r33 = 15.3 r41 = 0.6 r51 = 6 rc = 5.3

0.63

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3

0.546

Section 1: Crystalline Materials

157

Other Compounds—continued Material

Symmetry

Electrooptic coeff..

Wavelength

rij (10-12 m/V)

λ (µm)

T/S

Rb2Mn2(SO4)3

23

T

r41 = 1.9

0.453–0.642

SbSI

mm2

T T

r33 = 2x10 (293 K) r33 = 2000 (288 K)

Se

32

S S

n1 r11 = 89 r11 = ~2.5

1.15 10.6

SiO2

32

T T

r11 = -0.47 r41 = 0.20

0.409–0.605

S

r11 = 0.174

0.633

4

3

0.7

TeO2

422

T S

r41 = -0.76 r41 = +0.62

0.63

Tl2Mn2(SO4)3

23

T

r41 = 2.1

0.453–0.642

Tl2Cd2(SO4)3

23

T

0.546

tourmaline

3m

T S

r41 = 0.37 r22 = 0.3 r13 = 1.7

ZnGeP2

-42m

S S

r63 = -0.8 r41 = +1.6

3.39

0.589 0.633

Organic Compounds Material

Symmetry

T/S

Electrooptic coeff.

Wavelength

rij (10-12 m/V)

λ (µm)

(CH2)6N2:HMThexamethylenetetramine, hexamine

-43m

T T S

r41 = 0.72 ± 0.01 r41 = 0.78 r41 = <0.14

0.5 0.633

C(CH2OH)4

2

T T

r52 = 1.45 | r12 – r32| = 0.7

0.46–0.70

C6H4(NO2)NH2 meta-nitroaniline

mm2

T T T

r33 = 16.7 ± 0.2 r23 = 0.1 ± 0.6 r13 = 7.4 ± 0.7

0.63

Cs2C4H4O6

32

T

r11 = 1.0

0.546

DBNMNA 2,6-dibromo-Nmethyl-4-nitroaniline

mm2

T T T

n3a r13–n3c r33 = 148 r42= 86 r51 = 83 n3a r13–n3c r33 =32

0.5145

T T T

© 2003 by CRC Press LLC

r42 = 20.4 r51 = 41.4

0.6328

158

Handbook of Optical Materials

Organic Compounds—continued Material

Symmetry

DBNMNA

T/S

Electrooptic coeff.

Wavelength

rij (10-12 m/V)

λ (µm)

T T T

n3a r13–n3c r33 =18.3 r42 = 11.5 r51 = 31

0.810

T T T

r53 = 39.9±8 r23 = 19.3±4 rc2 = 30.0±3

0.6328

—

r11 = 67±25

0.6328

MMONS 3-methyl-4-methoxy4;pr-nitrostilbene

mm2

MNA 2-methyl-4-nitroaniline

m

POM 3methyl 4-nitropyridine 1-oxide

222

T T T

63 = 2.6 ± 0.3 r52 = 5.1 ± 0.4 r41 = 3.6 ± 0.6

0.63

PNP 2-(N-Prolinol)5-nitropyridine

2

T T T T

r12 = 20.2±0.3 r22 = 28.3±0.4 r12 = 13.1±0.2 r22 = 13.1±0.2

0.514

SPCD styrlpyridinium cyanine dye

mm2

r33 = 430

0.6328

—

1.7.2 Quadratic Electrooptic Materials Kerr Constants of Ferroelectric Crystals1,2 Material BaTiO3 SrTiO3 KTa0.65Nb0.35O3 KTaO3 LiNbO3 LiTaO3 Ba0.8Na0.4Nb2O6

Ttrans (K) 406 — 330 13 1483 938 833

λ (µm)

g11 (1010 esu)

g12 (1010 esu)

g11-g12 (1010 esu)

g44 (1010 esu)

0.633 0.633 0.633 0.633 — — —

1.33 — 1.50 — 0.94 1.0 1.55

-0.11 — -0.42 — 0.25 0.17 0.44

1.44 1.56 1.92 1.77 0.7 0.8 1.11

— — 1.63 1.33 0.6 0.7 —

References 1. Narasimhamurty, T. S., Photoelastic and Electro-Optic Properties of Crystals, Plenum Press, New York, 1981, p. 408. 2. Gray, D. E., Ed., AIP Handbook of Physics, McGraw Hill, New York, 1972, p. 6-241. See, also, Cook, W. R., Hearmon, R. F. S., Jaffe, H., and Nelson, D. F., Piezooptic and electrooptic coefficient constants, Landolt-Börstein, Group III, Vol. 11, Hellewege, K.-H. and Hellewege, A. M., Eds. (Springer-Verlag, New York, 1979), p. 495.

© 2003 by CRC Press LLC

Section 1: Crystalline Materials

159

1.8 Elastooptic Properties 1.8.1 Elastooptic Coefficients The following tables of elastooptic coefficients (photoelastic constants) are from the CRC Handbook of Chemistry and Physics, 82nd edition, Lide, D. R., Ed. (CRC Press, Boca Raton, FL, 2001), p. 12–180. Materials are listed alphabetically by chemical composition. Data have been measured at room temperature, except for rare gas crystals. Cubic Crystals; Point Groups 43m, 432, m3m Elastooptic coefficients Material

Wavelength (µm)

p11

p12

p44

p11–p12

Ref.

0.540–0.589 0.55–0.65 1.06 0.633 0.633 0.633 1.15 0.633 0.514 3.39 0.589 0.633 0.546 0.590 0.589 0.589 0.589 0.589 0.633 0.589 0.589 0.589 0.589 0.589 0.633 0.633 0.633 0.633 0.633 1.15 0.633 0.633

–0.278 0.038 –0.152 0.072 0.120 0.032 –0.165 –0.151 –0.086 –0.151 0.212 0.22 0.26 0.212 — 0.02 0.148 0.115 0.08 — 0.142 0.293 0.288 0.262 0.080 0.15 –0.451 –0.140 –0.029 0.025 0.091 0.091

0.123 0.226 –0.017 0.195 0.250 0.151 –0.140 –0.082 –0.027 –0.128 0.165 0.16 0.20 0.171 — 0.13 0.184 0.159 0.20 — 0.245 0.185 0.172 0.167 0.269 0.095 –0.337 0.149 0.0091 0.073 0.019 –0.01

–0.161 0.0254 –0.057 –0.083 –0.082 –0.068 –0.072 –0.074 –0.078 –0.072 –0.022 –0.025 –0.029 — –0.0177 –0.045 –0.0036 –0.011 –0.03 0.0048 0.042 –0.034 –0.041 –0.023 0.0185 0.072 –0.164 –0.0725 –0.0615 0.041 0.079 0.075

–0.385 –0.183 –0.135 –0.123 –0.130 –0.119 –0.025 –0.069 –0.059 –0.023 0.047 0.06 0.06 0.041 –0.0407 –0.11 –0.035 –0.042 –0.12 –0.0141 –0.103 0.108 0.116 0.095 –0.189 — –0.114 –0.289 –0.038 — — 0.101

13 11 10 12 12 12 15 15 23 14 5 4 1 6 3 5 1 2 1 3 9 7,8 7,8 7,8 16 17 19,20 18,20 15 15 17 15

C (diamond) CaF2 CdTe CuBr CuCl CuI GaAs GaP Gd3Ga5O12 Ge KBr KCl KF KI LiCl LiF NaBr NaCl NaF NaI NH4Cl RbBr RbCl RbI SrF2 SrTiO3 Tl(Br,Cl) Tl(Br,I) Y3Al5O12 Y3Fe5O12 Y3Ga5O12 ZnS

© 2003 by CRC Press LLC

Cubic Crystals; Point Groups 23, m3 Elastooptic coefficients Material

Wavelength (µm)

Ba(NO3)2

0.589

NaBrO3 NaClO3 Pb(NO3)2 Sr(NO3)2

0.589 0.589 0.589 0.41

p11 — 0.185 0.162 0.162 0.178

p12

p44

p11–p22 = 0.992 0.218 0.24 0.24 0.362

–0.0205 –0.0139 –0.0198 –0.0198 –0.014

p13 p11–p13 = 0.713 0.213 0.20 0.20 0.316

Ref. 13 26 26 24,25 27

Trigonal Crystals; Point Groups 3m, 32, –3m Elastooptic coefficients Wavelength (µm)

Material Ag3AsS3 Al2O3 CaCO3 HgS LiNbO3 LiTaO3 NaNO3 SiO2 Te

0.633 0.644 0.514 0.633 0.633 0.633 0.633 0.589 10.6

p11

p12

±0.10 –0.23 0.062

±0.19 –0.03 0.147

±0.034 –0.081

±0.072 0.081 ±0.21 0.27 0.130

0.16 0.155

p13 ±0.22 0.02 0.186 ±0.445 ±0.139 0.093 ±0.215 0.27 —

p14

P31

0.00 –0.011

±0.24 –0.04 0.241

±0.066 –0.026 ±0.027 –0.030 —

±0.178 0.089 ±0.25 0.29 —

Trigonal Crystals; Point Groups 3m, 32, 3m —continued Elastooptic coefficients Material

Wavelength (µm)

Ag3AsS3 Al2O3 CaCO3 α–HgS LiNbO3 LiTaO3 NaNO3 α–SiO2 Te

© 2003 by CRC Press LLC

0.633 0.644 0.514 0.633 0.633 0.633 0.633 0.589 10.6

P33 ±0.20 –0.20 0.139 ±0.115 ±0.060 –0.044 0.10 —

P41 — 0.01 –0.036 — ±0.154 –0.085 0.055 –0.047 —

P44 — –0.10 –0.058 — ±0.300 0.028 –0.06 –0.079 —

Ref. 38 15,32 33 36 15,34 15,35 39 37 15

Section 1: Crystalline Materials

161

Tetragonal Crystals; Point Groups 4/mmm, –42m, 422 Elastooptic coefficients Material

Wavelength (µm)

p11

p12

p13

P31

(NH4)H2PO4 BaTiO3 CsH2AsO4 MgF2 Hg2Cl2 KH2PO4 RbH2AsO4 RDP Sr0.75Ba0.25Nb2O6 Sr0.5Ba0.5Nb2O6 TeO2 TiO2 (rutile)

0.589 0.633 0.633 0.546 0.633 0.589 0.633 0.633 0.633 0.633 0.633 0.633

0.319 0.425 0.267 — ±0.551 0.287 0.227 0.273 0.16 0.06 0.0074 0.017

0.277 — 0.225 — ±0.440 0.282 0.239 0.240 0.10 0.08 0.187 0.143

0.169 — 0.200 — ±0.256 0.174 0.200 0.218 0.08 0.17 0.340 –0.139

0.197 — 0.195 — ±0.137 0.241 0.205 0.210 0.11 0.09 0.090 –0.080

Tetragonal Crystals; Point Groups 4/mmm, –42m, 422—continued Elastooptic coefficients Material

Wavelength (µm)

p33

p44

p66

Ref.

(NH4)H2PO4 BaTiO3 CsH2AsO4 MgF2 Hg2Cl2 KH2PO4 RbH2AsO4 RDP Sr0.75Ba0.25Nb2O6 Sr0.5Ba0.5Nb2O6 TeO2 TiO2 (rutile)

0.589 0.633 0.633 0.546 0.633 0.589 0.633 0.633 0.633 0.633 0.633 0.633

0.167 — 0.227 — –0.010 0.122 0.182 0.208 0.47 0.23 0.240 –0.057

–0.058 — — ±0.0776 — –0.019 — — — — –0.17 –0.009

–0.091 — — ±0.0488 ±0.047 –0.064 — — — — –0.046 –0.060

40 41 42 43 44 45 41 41 46 46 47 48

Tetragonal Crystals; Point Groups 4, –4, 4/m Elastooptic coefficients Material

Wavelength (µm)

CdMoO4 PbMoO4 NaBi(MoO4)2

0.633 0.633 0.633

© 2003 by CRC Press LLC

p11

p12

p13

P16

P31

0.12 0.24 0.243

0.10 0.24 0.205

0.13 0.255 0.25

— 0.017 —

0.11 0.175 0.21

162

Handbook of Optical Materials Tetragonal Crystals; Point Groups 4, –4, 4/m—continued Elastooptic coefficients

Material

Wavelength (µm)

CdMoO4 PbMoO4 NaBi(MoO4)2

0.633 0.633 0.633

p33

p44

p45

p61

p66

Ref.

0.18 0.300 0.29

— 0.067 —

— –0.01 —

— 0.013 —

— 0.05 —

49 52 —

Hexagonal Crystals; Point Groups mmc, 6mm Elastooptic coefficients Material

Wavelength (µm)

Be3Al2Si6O18 CdS ZnO ZnS

p11

0.589 0.633 0.633 0.633

0.0099 –0.142 ±0.222 –0.115

p12

p13

0.175 –0.066 ±0.099 0.017

0.191 –0.057 –0.111 0.025

p31

p33

0.313 –0.041 ±0.088 0.0271

p44

0.023 –0.20 –0.235 –0.13

Ref.

–0.152 –0.099 0.0585 –0.0627

28 2,15 30 31

Orthorhombic Crystals; Point Groups 222, m22, mmm Elastooptic coefficients Material

Wavelength (µm)

Al2SiO4 (OH,F)2 BaSO4 HIO3 NaKC4H4O6 NH4ClO4 (NH4)2SO4

p12

p11

p13

p21

p22

p23

—

–0.085

0.069

0.052

0.095

–0.120

0.065

0.589 0.633 0.589 0.633 0.633

0.21 0.302 0.35 — 0.26

0.25 0.496 0.41 0.24 0.19

0.16 0.339 0.42 0.18 ±0.260

0.34 0.263 0.37 0.23 ±0.230

0.24 0.412 0.28 — ±0.27

0.19 0.304 0.34 0.20 ±0.254

Orthorhombic Crystals; Point Groups 222, m22, mmm —continued Elastooptic coefficients Material

p31

Al2SiO4(OH,F)2 BaSO4 HIO3 NaKC4H4O6 NH4ClO4 (NH4)2SO4

0.095 0.28 0.251 0.36 0.19 0.20

© 2003 by CRC Press LLC

p32 0.085 0.22 0.345 0.35 0.18 ±0.26

p33 –0.083 0.31 0.336 0.36 ±0.02 0.26

p44 –0.095 0.002 0.084 –0.030 <±0.02 0.015

p55 –0.031 –0.012 –0.030 0.0046 — ±0.0015

p66 0.098 0.037 0.098 –0.025 ±0.04 0.012

Ref. 28 55 54 53 51 52

Section 1: Crystalline Materials Rare Gas Crystals Elastooptic coefficients p11

p12

p44

Ne (T = 24.3 K)

0.157

0.168

Ar (T = 82.3 K)

0.256

Kr (T = 115.6 K) Xe (T = 160.5 K)

Rare Gas

p11 – p12

Ref.

0.004

–0.011

59

0.302

0.015

–0.046

60

0.34

0.34

0.037

—

59

0.284

0.370

0.029

–0.086

60

Measured made at a wavelength of 488 nm.

References: 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38.

Petterson, H. E., J. Opt. Soc. Am., 63, 1243 (1973). Burstein, E. and Smith, P. L., Phys. Rev., 74, 229 (1948). Pakhnev, A. V., et al., Sov. Phys. J. (transl.), 18, 1662 (1975). Feldman, A., Horovitz, D., and Waxler, R. M., Appl. Opt., 16, 2925 (1977). Iyengar, K. S., Nature (London), 176, 1119 (1955). Bansigir, K. G. and Iyengar, K. S., Acta Crystallogr., 14, 727 (1961). Pakhev, A. V., et al., Sov. Phys. J. (transl.), 20, 648 (1975). Bansigir, K. G., Acta Crystallogr., 23, 505 (1967). Krishna Rao, K. V. and Krishna Murty, V. G., Ind. J. Phys., 41, 150 (1967). Weil, R. and Sun, M. J., Proc. Int. Symp. CdTe (Detectors), XIX–1 Strasbourg, (1972). Schmidt, E. D. D. and Vedam, K., J. Phys. Chem. Solids, 27, 1563 (1966). Biegelsen, D. K., et al., Phys. Rev. B, 14, 3578 (1976). Hellwege, K. H., Landolt–Börnstein, New Series III/II ( Springer–Verlag Berlin, 1979). Feldman, A., Waxler, R. M., and Horovitz, D., J. Appl. Phys., 49, 2589 (1978). Dixon, R. W., J. Appl. Phys., 38, 5149 (1967). Shabin, O. V., et al., Sov. Phys. Solid State (transl.), 13, 3141 (1972). Reintjes, J. and Schultz, M. B., J. Appl. Phys., 39, 5254 (1968). Rivoallan, L. and Favre, F., Opt. Commun., 8, 404 (1973). Rivoallan, L. and Favre, F., Opt. Commun., 11, 296 (1974). Afanasev, I. I., et al., Sov. J. Opt. Technol., 46, 663 (1979). Rand, S. C., et al., Phys. Rev. B, 19, 4205 (1979). Sipe, J. E., Can J. Phys., 56, 199 (1978). Christyi, I. L., et al., Sov. Phys. Solid State (transl.), 17, 922 (1975). Narasimhamurty, T. S., Curr. Sci. (India), 23, 149 (1954). Smith, T. M. and Korpel, A., IEEE J. Quant. Electron., QE–1, 283 (1965). Narasimhamurty, T. S., Proc. Indian Acad. Sci., A40, 164 (1954). Rabman, A., Bhagarantam Commem. Vol., Bangalore Print. and Publ., 173 (1969). Eppendahl, R., Ann. Phys. (IV), 61, 591 (1920). Laurenti, J. P. and Rouzeyre, M., J. Appl. Phys., 52, 6484 (1981). Sasaki, H., et al., J. Appl. Phys., 47, 2046 (1976). Uchida, N. and Saito, S., J. Appl. Phys., 43, 971 (1972). Waxler, R. M. and Farabaugh, E. M., J. Res. Natl. Bur. Stand., A74, 215 (1970). Nelson, D. F., Lazay, P. D., and Lax, M., Phys. Rev., B6, 3109 (1972). O’Brien, R. J., Rosasco, G. J., and Weber, A., J. Opt. Soc. Am., 60, 716 (1970). Avakyants, L. P., et al., Sov. Phys., 18, 1242 (1976). Sapriel, J., Appl. Phys. Lett., 19, 533 (1971). Narasimhamurty, T. S., J. Opt. Soc. Am., 59, 682 (1969). Zubrinov, I. I., et al., Sov. Phys. Solid State (transl.), 15, 1921 (1974).

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163

164

Handbook of Optical Materials

39. 40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50. 51. 52. 53. 54. 55. 56. 57. 58. 59. 60.

Kachalov, O. V. and Shpilko, I. O., Sov. Phys. JETP (transl.), 35, 957 (1972). Narasimhamurty, T. S., et al., J. Mater. Sci., 8, 577 (1973). Tada, K. and Kikuchi, K., Jpn. J. Appl. Phys., 19, 1311 (1980). Aleksandrov, K. S., et al., Sov. Phys. Solid State (transl.), 19, 1090 (1977). Afanasev, I. I., et al., Sov. Phys. Solid State (transl.), 17, 2006 (1975). Silvestrova, I. M., et al., Sov. Phys. Cryst. (transl.), 20, 649 (1975). Veerabhadra Rao, K. and Narasimhamurty, T. S., J. Mater. Sci., 10, 1019 (1975). Venturini, E. L., et al., J. Appl. Phys., 40, 1622 (1969). Vehida, N. and Ohmachi, Y., J. Appl. Phys., 40, 4692 (1969). Grimsditch, M. H. and Ramdus, A. K., Phys. Rev. B, 22, 4094 (1980). Schinke, D. P. and Viehman, W., unpublished data. Coquin, G. A., et al., J. Appl. Phys., 42, 2162 (1971). Vasquez, F., et al., J. Phys. Chem. Solids, 37, 451 (1976). Luspin, Y. and Hauret, G., C.R. Ac. Sci. Paris, B274, 995 (1972). Narasimhamurty, T. S., Phys. Rev., 186, 945 (1969). Haussühl, S. and Weber, H. J., Z. Kristallogr., 132, 266 (1970). Vedam, K., Proc. Ind. Ac. Sci., A34, 161 (1951). Yano, T., Fukumoto, A., and Watanabe, A., J. Appl. Phys., 42, 3674 (1971). Manenkov, A. A. and Ritus, A. I., Sov. J. Quant. Electr., 8, 78 (1978). Eschler, H. and Weidinger, F., J. Appl. Phys., 46, 65 (1975). Rand, S. C., Rao, B. S., Enright, G. D., and Stoicheff, B. P., Phys. Rev. B, 19, 4205 (1979). Sipe, J. E., Can. J. Phys., 56, 199 (1978).

1.8.2 Acoustooptic Materials A figure of merit for an acoustooptic material is M = n6 p2/ρv3, where n is the refractive index, p is the photoelastic constant, ρ is the density, and ν is the sound velocity. Properties of Selected Acoustooptic Materials Material

Transparency range (µm)

Ge Hg2Br2 Hg2Cl2 Hg2I2 LiNbO3 PbBr2 PbCl2 PbMoO4 SiO2 TeO2

2–20 0.40–30 0.36–20 0.45–40 0.35–5.0 0.36–60 0.35–20 0.42–5.5 0.12–4.5 0.35–5.0

Tl3AsS3

1.3–17

Acoustic mode/ direction L <111> S <110> S <110> S <110> L <100> S <010> S <001> L <001> L <100> L <001> S <110> L <001>

Acoustic velocity ((km/s) 5.5 0.273 0.347 0.254 6.5 2.30 2.51 3.63 5.72 4.2 0.62 2.15

Figure of merit 840 2600 700 3200 4.6 550 136 36.3 2.38 34.5 793 416

All measurements at 0.633 µm, except for Ge at 10.6 µm; L = longitudinal, S = shear.

Reference: Gottlieb, M. and Singh, N. B., Elastooptic materials, Handbook of Laser Science and Technology, Suppl. 2: Optical Materials (CRC Press, Boca Raton, FL, 1995), p. 416.

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Section 1: Crystalline Materials

165

1.9 Nonlinear Optical Properties 1.9.1 Nonlinear Refractive Index* Nonlinear refraction is commonly defined either in terms of the optical field intensity I n = n0 + γI or in terms of the average of the square of the optical electric field <E2> n = n0 + n2<E2>, where n0 is the ordinary linear refractive index, γ is the nonlinear refractive coefficient, and n2 is the nonlinear refractive index. The conversion between n2 and γ is given by n2[cm3/erg] = (cn0/40π) γ[m2/W] = 238.7 n0 γ[cm2/W], where c is the speed (in m/s) of light in vacuum. (3)

In terms of third-order susceptibility tensor χ (-ω,ω,ω,-ω) of the medium, the nonlinear refractive indices for a linearly polarized wave and a circularly polarized wave in an isotropic material are n2(LP) = (12π/n0)χ

(3)

and n2(CP) = (24π/n0)χ

(-ω,ω,ω,-ω)

1111

(3)

(-ω,ω,ω,-ω).

1122

Whereas in a cubic material the linear refractive index is isotropic, n2 is not. If θ is the angle made by the electric field vector with the [100] axis for a wave propagating along, say, (3) [001], the effective value of χ is given by n2(θ) = 12π/n0{χ

(3)

2

[1 + σsin(θ) /2]},

1111

where σ = [χ

(3) 1111

– χ(3)1122 + 2χ(3)1212]/χ(3)1111.

For a circularly polarized beam propagating along [100] n2(CP,100) = 6π/n0[χ

(3) 1111

+ 2χ(3)1122 – χ(3)1212]

and for a circularly polarized beam propagating along [111] n2(CP,111) = 4π/n0[χ

(3) 1111

+ 4χ(3)1122 – χ(3)1212].

The nonlinear refractive index is not a unique quantity for a given material because several physical mechanisms contribute to the polarization that is cubic in the applied optical elect* This section was adapted from Chase, L. L. and Van Stryland, E. W., Nonlinear Refractive index: inorganic materials, Handbook of Laser Science and Technology, Suppl. 2: Optical Materials (CRC Press, Boca Raton, FL, 1995), p. 269.

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Handbook of Optical Materials

ric field. These physical mechanisms require a material response that can take place on various time scales. The mechanisms that contribute most strongly to n2 , and their characteristic time scales (in parentheses) are bound electrons (10–15 s), optically created free carriers (>10–12 s), Raman-active optical phonons (10–12 s), electrostriction (>10–9 s), and thermal excitation (~10–9 s). Several methods listed below have been employed to measure n2. The details of the measurements determine the relative contributions from the various possible physical mechanisms to the measured n2. In general, experiments done with picosecond pulses and nondegenerate mixing are less likely to be affected by the “slow” electrostrictive or thermal effects than those done in the nanosecond pulse regime and with degenerate mixing. Most of the measurements include the effects of both electronic and vibrational (Raman) contributions to n2. Techniques for Measuring the Nonlinear Refractive Index Method DFWM DHG DTLC ER KE NDFWM OKE PDF PST RSS SFL SPA SPM SSMG TBI TII TRI TWR WFC ZS

Degenerate four-wave mixing Dynamic holographic grating Damage threshold for linear vs. circular polarization Ellipse rotation DC Kerr effect Nondegenerate four-wave mixing Optical Kerr effect Power-dependent focus Power for self-trapping Raman scattering spectroscopy Self-focal length Spatial profile analysis Self-phase modulation Small-scale modulation growth Two-beam interferometry Time-integrated interferometry Time-resolved interferometry Temporal waveform reshaping Wavefront conjugation Z-scan

Ref. 2 3 4 5 6 7,8 9 10 11 12 13 14 15 16 17 18 19 20 21 22

In the following tables of nonlinear refractive parameters, values in parentheses were calculated by Chase and Van Stryland1 from the quantities reported in the original references. Refractive indices in parentheses were obtained from extrapolation of available data. For noncubic crystals, or for cubic crystals where the polarization is not along a cube (3) axis or is not specified in the original reference, the value tabulated for χ 1111 is an (3) effective value of χ . Unless noted otherwise, measurements were made at room temperature.

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Measured Nonlinear Refractive Parameters Pulse duration Crystals

3 0.17 0.02 0.028 0.016 3 0.030 3 3 ~1 — 0.027 0.017 4 0.125 0.3 0.028 0.02 0.016 3 1.5 × 10–4 4 3

(nm) 1064 308 532 1064 355 560, 590 1064 1064 1064 1064 850–810 532 308 592, 575 1064 1064 1064 532 355 1064 532 545, 545-ε 560, 590

index 2.02 (1.814) 1.8 1.75 1.8 (1.76) (1.76) 1.75 1.75 1.76 NA (1.476) (1.500) (1.47) 1.47 1.468 1.47 1.48 1.5 1.73 — (2.42) (1.66)

(10

cm

3

(1.25) (0.088) (0.066) (0.056) (0.076) (0.11) (0.060) (0.060) (0.057) (0.069) — (0.031) (0.077) 0.069 (0.39) (0.026) 0.019 0.029 0.039 (0.67) — 0.46 (0.14)

erg) (10

n2,LP −13 3 cm

erg)

23.3 (1.82) (1.4) (1.2) (1.6) 2.4 1.3 1.3 1.23 1.48 –(2.2–3.3) × 104 0.8 (1.94) (1.8) (1.00) 0.67 (0.5) (0.73) (0.97) 1.46 5 (7.2) 3.2

(10

γL P −16

2

cm / W )

(48.3) 4.2 3.3 2.9 3.7 (5.7) (3.1) (3.11) (2.94) (3.52) — (2.27) 5.42 (5.0) 2.85 (1.91) 1.4 2.1 2.7 (3.54) — (12.6) (8.1)

Ref. 23 a 24 25 25 25 8 26 7 7 27 28 b 29 24 30 32 7 25 25 25 7 33 31 n 28 c

167

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NDFWM PDF ZS ZS ZS NDFWM PDF NDFWM NDFWM TRI TRI ZS PDF NDFWM TRI DFWM ZS ZS ZS NDFWM OKE NDFWM NDFWM

(ns)

χ1111

−13

Section 1: Crystalline Materials

AgCl Al2O3 Al2O3 Al2O3 Al2O3 Al2O3 Al2O3 Al2O3 (E||c) Al2O3 (E⊥c) Al2O3:Cr AlGaAs BaF2 BaF2 BaF2 BaF2 BaF2 (100) BaF2 (100) BaF2 (100) BaF2 (100) BeAl2O4 Bi 12SiO 20 C (diamond) CaCO3

Method

Linear Wavelength refractive

168

Measured Nonlinear Refractive Parameters—continued

Crystals CaCO3 (E || c) CaCO3 (E ⊥c) CaF2 CaF2 CaF2 CaF2 CaF2 CaMg2Si2O 6 CaO (100) CaWO4 (E ⊥ c) CaWO4 (E || c) CdF 2 CdF 2 CdF 2 (100) CdS CdS CdS (E||c) CdS(E⊥c) CdS 0.18Se 0.82 CdS 0.5Se 0.5 CdS 0.5Se 0.5 CdSe CdTe

© 2003 by CRC Press LLC

Method NDFWM NDFWM PDF NDFWM NDFWM TRI PDF NDFWM NDFWM NDFWM NDFWM NDFWM TRI NDFWM ZS SPA NDFWM NDFWM SPA ZS SPA ZS ZS

(ns) 3 3 0.017 4 3 0.125 0.030 3 3 3 3 4 0.125 3 0.03 20 3 3 20 0.03 20 0.03 0.04

Linear Wavelength refractive (nm) 1064 1064 308 592, 575 560, 590 1064 1064 1064 1064 1064 1064 575, 575-ε 1064 1064 532 694 1064 1064 694 1064 694 1064 1064

index 1.48 1.643 (1.453) (1.43) (1.43) 1.43 1.43 1.67 1.83 1.89 1.91 (1.57) 1.57 1.56 2.34 (2.42) 2.34 2.33 (2.6) 2.45 (2.5) 2.56 2.84

χ1111

(10

−13

cm

3

(0.033) (0.048) (0.026) 0.04 (0.055) (0.025) 0.105 (0.077) (0.25) (0.25) (0.28) 0.145 (0.061) (0.16) (–211) (130) (17.5) (18.8) (1500) (65) (230) (–6.1) (–150)

erg) (10

n2,LP −13 3 cm

0.83 1.11 (0.67) (1.1) 1.46 0.65 2.8 1.73 5.2 4.2 5.6 (3.48) (1.46) 3.95 –3400 2 × 103 283 304 2.2 × 104 1000 3.5 × 103 –90 –2000

erg)

(10

γL P −16

2

cm / W )

(2.35) (2.83) 1.92 (3.1) (4.3) 1.90 (8.1) (4.34) (11.9) (9.3) (12.3) (9.29) 3.87 (10.6) (–6090) (3.5 × 103) (507) (547) (3.5 × 104) (1710) (5.9 × 103) (–147) (–3000)

Ref. 23 23 24 30 8 32,34 10 7 7 7 7 31 32 7 35 36 7 7 36 35 36 35 35

Handbook of Optical Materials

Pulse duration

CdTe

15 3 0.125 0.006 0.006 — 3 3 0.03 ~200 2.7 × 10–3 3 3 3 0.06 ~200 2.3 — 300 CW CW CW — 3 0.030 3 0.030

1064 1064 1064 1064 1064, 532 1064, 532 773, 694 1064 1064 1064 9200–11800 577 1064 1064 1064 10600 9200–11800 10590 10600 38000 10640 5313 5405–5714 10600 1064 1064 1064 1064

2.84 ~3 ~1.6 ~1.6 (1.64) — (1.94) 1.96 1.96 3.47 (3.3) (3.396) 1.945 1.891 1.943 3.47 4. (4.) 4. 4.0 4.25 (4) (4) (4) 1.544 1.544 1.479 1.479

±150

±2100

2.5 × (0.055) (0.066) 0.086 0.029 33 (0.24) (0.30) (~249) 120 2.1 × 103 (0.30) (0.20) (0.28) (290) 1000 250 — 400 — (–6. × 1010) — ~2 × 106 (0.12) 0.58 (0.079) 0.13 105

37 d

±3100

(3.1 × 1.3 (1.55) (2.0) — 640 4.53 5.8 ~2700 (1.4 × 103) (2.33 × 104) 5.8 4.0 5.5 2700 (9.4 × 103) (2.3 × 103) — (3.8 × 103) [n = –7 × 10–3 I1/3] (–6. × 1011) 100 (~2 × 107) 2.93 14.2 2.01 3.3 106)

(4.4 × (3.4) 4.06 (5.1) — 1400 (9.7) (12.4) (~3260) (1.7 × 103) (2.87 × 104) (12.5) (8.9) (11.9) (2800) (9.9 × 103) (2.5 × 103) — (3.9 × 103) — –6 × 1011 — (~2 × 107) (8.0) (38.5) (5.7) (9.3) 106)

38 7 32 39 39 e 40m 7 7 35 41 42 7 7 7 35 41 43 44 f 45 46 g 47 l 48 h 49 i 7 10 7 59

169

© 2003 by CRC Press LLC

WFC NDFWM TRI NDFWM NDFWM NDFWM NDFWM NDFWM ZS NDFWM TDFWM NDFWM NDFWM NDFWM ZS NDFWM ER NDFWM WFC SPA SPA SPA NDFWM NDFWM PDF NDFWM PDF

0.04

Section 1: Crystalline Materials

CdTe CeF3 CeF3 CsCl CsCl CuCl Er2O3 Ga2O3 GaAs GaAs GaP Gd3Ga5O12 Gd3Sc2Al3O12 Gd3Sc2Ga3O12 Ge Ge Ge Ge Ge HgCdTe InSb InSb InSb KBr KBr KCl KCl

DFWM

170

Measured Nonlinear Refractive Parameters—continued

Crystals KF KF KH2PO4 KH2PO4 KH2PO4 (||c) KH2PO4 (⊥c) KI KI KI KTaO3 KTiOPO4 KTiOPO4 La2Be2O5:Nd La3Lu2Ga3O12 LaF3 LaF3 (||c) LAP, x + z LAP,y LiCl LiCl LiF LiF LiF LiF

© 2003 by CRC Press LLC

Method NDFWM NDFWM TRI PDF NDFWM NDFWM NDFWM NDFWM PDF NDFWM NDFWM ZS PDF NDFWM TRI NDFWM NDFWM NDFWM NDFWM NDFWM ZS ZS NDFWM TRI

(ns) 0.006 0.006 0.10 0.030 3 3 0.006 0.006 0.030 3 3 0.04 0.030 3 0.125 3 3 3 0.006 0.006 0.028 0.02 3 0.125

Linear Wavelength refractive (nm) 1064, 532 1064, 532 1064 1064 1064 1064 1064, 532 1064, 532 1064 1064 1064 1064 1064 1064 1064 1064 1064 1064 1064,532 1064,532 1064 532 560, 590 1064

index (1.36) — (1.49) 1.49 1.460 1.494 (1.7) 1.638 2.25 1.74 1.78 (1.98) 1.930 1.60(o) 1.60 1.51 1.559 (1.67) — 1.39 1.4 (1.39) 1.39

χ1111

(10

−13

cm

3

0.014 0.020 (0.040) 0.14 (0.028) (0.031) 0.38 0.13 0.49 (1.73) (0.26) (0.47) (0.11) (0.30) (0.064) (0.059) (0.12) (0.077) 0.069 0.027 (0.01) (0.011) (0.034) (0.013)

erg) (10

n2,LP −13 3 cm

(0.39) — 1.0 3.6 0.72 0.78 (8.4) — 11.2 29 5.73 (10) 2.1 5.8 1.51 1.4 3.0 1.87 (1.56) — (0.27) (0.3) 0.92 0.35

erg)

(10

γL P −16

2

cm / W )

(1.2) — (2.8) (10) (2.1) (2.2) (20) — (29) (54) (13.8) 24 (4.4) (12.6) 3.95 (3.7) (8.4) (5.0) (3.9) — (0.81) 0.9 (2.8) 1.05

Ref. 39 39 e 34 7 7 7 39 39 e 10 7 7 50 26 10 86 7 7 7 39 39 e 51 51 8 32,34

Handbook of Optical Materials

Pulse duration

5 0.125 3 3 0.028 0.02 0.016 0.125 3 3 0.030 3 0.030 3 0.125 0.030 0.125 ~200 20 3 3 3 4 0.125 3 3 3 0.08

577 1064 1064 1064 1064 532 355 1064 1064 1064 1064 1064 1064 1064 1064 1064 1064 9200–11800 694 1064 1064 1064 592, 575 1064 1064 1064 1064 1064

(2.31(o)) 1.45(o) 1.72 1.374 1.38 1.38 1.4 1.37(o) 1.72 1.623 1.62 1.531 1.532 1.321 1.32 1.321 1.76 (3.4) 2.68 1.534 1.543 1.433 (1.43) 1.43 1.81 2.31 2.48 (2.48)

— (0.023) (0.068) (0.0091) (0.0073) (0.008) (0.0085) (0.011) (0.073) (0.14) 0.41 (0.065) 0.26 (0.012) (0.015) 0.03 (0.23) 60 (36) (0.046) (0.047) (0.019) 0.052 (0.023) (0.24) (1.63) (3.67) (7.75)

— 0.60 1.5 0.25 (0.20) (0.22) (0.23) 0.30 1.61 3.26 9.6 1.59 6.5 0.34 0.43 0.9 4.94 660. 510 1.12 1.16 0.50 (1.4) 0.60 5.07 26.7 55.8 (118)

— 1.72 (3.65) (0.76) 0.61 0.67 0.69 0.92 (3.92) (8.41) (25) (4.35) (18) (1.1) 1.37 (2.9) 11.7 (820) (800) (3.06) (3.15) (1.46) (4.0) 1.76 (11.7) (48) (94) 200

52 32 7 7 51 51 25 32,34 7 7 10 7 10 7 32 10 32 41 53 7 7 7 30 32 7 7 7 2

171

© 2003 by CRC Press LLC

NDFWM TRI NDFWM NDFWM ZS ZS ZS TRI NDFWM NDFWM PDF NDFWM PDF NDFWM TRI PDF TRI NDFWM SPA,TWR NDFWM NDFWM NDFWM NDFWM TRI NDFWM NDFWM NDFWM DFWM

Section 1: Crystalline Materials

LiNbO3 LiYF4 MgAl2O4 MgF 2 MgF 2 MgF 2 MgF 2 MgF 2 MgO NaBr NaBr NaCl NaCl NaF NaF NaF PbF 2 Si SiC SiO2 (⊥c) SiO2 (||c) SrF2 SrF2 SrF2 SrO (110) SrTiO3 TiO2 TiO2

172

Measured Nonlinear Refractive Parameters—continued

Crystals Y 2O 3 Y3Al5O12 Y3Al5O12 Y3Al5O12 Y3Al5O12 Y3Al5O12:Nd Y3Ga5O12 YAlO3 ZnO (E⊥χ) ZnO (E||c) ZnS ZnS (E||c) ZnS (E⊥c) ZnSe ZnSe ZnSe ZnSe ZnTe ZrO2 ZrO2 ZrO2

Method NDFWM TRI NDFWM TRI ER PDF NDFWM NDFWM NDFWM NDFWM ZS NDFWM NDFWM ZS DFWM ZS DFWM ZS SFL SFL NDFWM

(ns) 3 0.15 3 ~1 13 0.030 3 3 3 3 0.03 3 3 0.03 0.04 0.03 0.03 0.03 0.045 0.03 3

Linear Wavelength refractive (nm) 1064 1064 560,590 1064 694 1064 1064 1064 1064 1064 1064 1064 1064 1064 1064 532 532 1064 1064 1064 1064

index 1.92 (1.83) (1.83) 1.83 1.829 1.82 1.912 1.933 1.99 1.96 2.40 2.29 2.29 2.48 2.48 2.70 2.70 2.79 (1.92) (1.92) 2.12

χ1111

(10

−13

cm

(0.27) (0.15) (0.22) (0.17) (0.21) 0.17 (0.26) (0.17) (1.32) (1.20) (3.1) (2.98) (2.85) (11) 18 (–29) ±30 (61) (0.41) (0.31) (0.33)

3

erg) (10

n2,LP −13 3 cm

5.33 3.16 4.5 3.47 4.27 3.5 5.2 3.37 25 23 48 49 47 170 (270) –400 (±420) 830 8 6 5.8

erg)

(10

γL P −16

2

cm / W )

(11.6) (7.2) (10) (7.9) (9.8) (8.1) (11.4) (7.3) (53) (49) (84) (90) (87) (290) (460) (–621) (±650) (1250) (17) (12.9) (11.5)

Ref. 7 54 i 8 27 5k 7 7 7 7 7 35 7 7 35 37 35 37 d 35 55 56 7

a polycrystalline sample; b wavelength dependent; c E || optic axis ; d absolute values measured; e in 5 mol/O acq. sc; f relative spect; impurity; 175 K, I i n W/cm2; g 175 K, I in W/cm2; h 77 K, free electrons; i 4 K, free electrons; j 4 K || [111]; k E || [100]; l 5 K, free electrons; m 15 K; n dispersion also given.

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Handbook of Optical Materials

Pulse duration

Section 1: Crystalline Materials Dispersion of the Nonlinear Refractive Index n2 x 10 Material LiF MgF2 BaF2 SiO2 Al2O3 BaB2O4 KBr CaCO3 LiNbO3 KTiOPO4

Energy gap (eV) 13.6 10.8 9.1 8.4 9.9 6.2 7.6 5.9 4.0 3.5

-14

173

*

esu

266 nm

355 nm

532 nm

1064 nm

4.0 ± 1.0 5.0 ± 1.0 11 ± 2 28 ± 6 26 ± 5 1 ± 0.3 — 46 ± 9 — —

1.9 ± 0.4 2.2 ± 0.4 9.7 ± 1.9 8.5 ± 1.7 16 ± 3 14 ± 3 — 14 ± 3 — —

1.9 ± 0.4 1.9 ± 0.4 7.5 ± 1.5 7.8 ± 1.6 14 ± 3 21 ± 4 47 ± 9 11 ± 2 440 ± 70 98 ± 15

2.5 ± 0.5 1.9 ± 0.4 5.0 ± 1.0 7.4 ± 1.5 13 ± 3 11 ± 2 29 ± 6 11 ± 2 48 ± 7 100 ± 20

*

DeSalvo, R., Said, A. A., Hagan, D. J., Van Stryland, E. W., and Sheik-Bahae, M., Infrared to ultraviolet measurements of two-photon absorption and n2 in wide bandgap solids, IEEE J. Quantum Electron. 32, 1324 (1996). See also, Adair, R., Chase, L. L., and Payne, S. A., dispersion of the nonlinear refractive index of optical crystals, Opt. Mater. 1, 185 (1992).

References: 1.

2. 3.

4. 5. 6. 7. 8. 9. 10.

11. 12.

Chase, L. L., and Van Stryland, E. W., Nonlinear refractive index: inorganic materials, in Handbook of Laser Science and Technology, Suppl. 2: Optical Materials (CRC Press, Boca Raton, FL, 1995), p. 269. Friberg, S. R., and Smith, P. W., Nonlinear optical glasses for ultrafast optical switches, IEEE J. Quantum Electron. QE-23, 2089 (1987). Odulov, S. G., Reznikov, Y. A., Soskin, M. S., and Khizhnyak, A. I., Photostimulated transformation of molecules—A new type of “giant” optical nonlinearity in liquid crystals, Sov. Phys. JETP 55(5), 854 (1982). Feldman, A., Horowitz, D., and Waxler, R. M., Mechanisms for self-focusing in optical glasses, IEEE J. Quantum Electron. QE-9, 1054 (1973). Owyoung, A., Ellipse rotation studies in laser host materials, IEEE J. Quantum Electron. QE9(11), 1064 (1973). Hellwarth, R. W., and George, N., Nonlinear refractive indices of CS2-CCl4 mixtures, Opt. Electron. 1, 213 (1969). Adair, R., Chase, L. L., and Payne, S. A., Nonlinear refractive index of optical crystals, Phys. Rev. B39, 3337 (1989). Levenson, M. D., Feasibility of measuring the nonlinear index of refraction by third-order frequency mixing, IEEE J. Quantum Electron. QE-10(2), 110 (1974). Ho, P. P., and Alfano, R. R., Optical Kerr effect in liquids, Phys. Rev. A 20(5), 2170 (1979). Smith, W. L., Bechtel, J. H., and Bloembergen, N., Dielectric-breakdown threshold and nonlinear-refractive-index measurements with picosecond laser pulses, Phys. Rev. B 12, 706 (1975). Wang, C. C., Nonlinear susceptibility constants and self-focusing of optical beams in liquids, Phys. Rev. 152(1), 149 (1966). Yang, T. T., Raman scattering and optical susceptibilities of Nd-doped glasses, Appl. Phys. 11, 167 (1976).

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174 13. 14. 15. 16.

17. 18.

19.

20.

21. 22.

23. 24. 25.

26.

27.

28. 29. 30. 31. 32. 33.

Handbook of Optical Materials Hongyo, M., Sasaki, T., and Yamanaka, C., Nonlinear effects of POCl3 liquid laser, Technol. Rep. Osaka Univ. 23 (1121–1154), 455 (1973). Bjorkholm, J. E. and Ashkin, A., cw self-focusing and self-trapping of light in sodium vapor, Phys. Rev. Lett. 32(4), 129 (1974). Stolen, R. H., and Lin, C., Self-phase-modulation in silica optical fibers, Phys. Rev. A 17(4), 1448 (1978). Smith, W. L., Warren, W. E., Vercimak, C. L., and White, W. T., III, Nonlinear refractive index at 351 nm by direct measurement of small-scale self-focusing, Paper FB4, Digest of Conference on Lasers and Electro Optic, (Optical Society of America, Washington, DC, 1983), p. 17. Owyoung, A., and Peercy, P. S., Precise characterization of the Raman nonlinearity in benzene using nonlinear interferometry, J. Appl. Phys. 48(2), 674 (1977). Witte, K. J., Galanti, M., and Volk, R., n2-Measurements at 1.32 µm of some organic compounds usable as solvents in a saturable absorber for an atomic iodine laser, Opt. Commun. 34(2), 278 (1980). Milam, D., and Weber, M. J., Measurement of nonlinear refractive-index coefficients using time-resolved interferometry: application to optical materials for high-power neodymium laser, J. Appl. Phys. 47(6), 2497 (1976). Hanson, E. G., Shen, Y. R., and Wong, G. K. L., Experimental study of self-focusing in a liquid crystalline medium, Appl. Phys. 14, 65 (1977); Self-focusing: from transient to quasi-steadystate, Opt. Commun. 20(1), 45 (1977); Wong, G. K. L., and Shen, Y. R., Transient self-focusing in a nematic liquid crystal in the isotropic phase, Phys. Rev. Lett. 32(10), 527 (1974). Grischkowsky, D., Shiren, N. S., and Bennett, R. J., Generation of time-reversed wave fronts using a resonantly enhanced electronic nonlinearity, Appl. Phys. Lett. 33(9), 805 (1978). Sheik-Bahae, M., Said, A. A., Wei, T. H., Hagan, D. J., and Van Stryland, E. W., Sensitive measurement of optical nonlinearities using a single beam, IEEE J. Quantum Electron. 26, 760 (1990). Adair, R., Chase, L. L., and Payne, S. A., Nonlinear refractive index of optical crystals, Phys. Rev. B39, 3337 (1989). Kim, Y. P., and Hutchinson, M. H. R., Intensity-induced nonlinear effects in UV window materials, Appl. Phys. B49, 469 (1989). Sheik-Bahae, M., DeSalvo, J. R., Said, A. A., Hagan, D. J., Soileau, M. J., and Van Stryland, E. W., Nonlinear refraction in UV transmitting materials, Laser-Induced Damage in Optical Materials: 1991, SPIE 1624, 25 (1992). Smith, W. L., and Bechtel, J. H., Laser-induced breakdown and nonlinear refractive index measurements in phosphate glasses, lanthanum beryllate, and Al2O3, Appl. Phys. Lett. 28, 606 (1976). Moran, M. J., She, C. Y., and Carman, R. L., Interferometric measurements of the nonlinear refractive index coefficient relative to CS2 in laser-system-related materials, IEEE J. Quantum Electron. QE-11(6), 159 (1975). LaGasse, M. J., Anderson, K. K., Wang, C. A., Haus, H. A., and Fujimoto, J. G., Femtosecond measurements of the nonresonant nonlinear index in AlGaAs, Appl. Phys. Lett. 56, 417 (1990). Sheik-Bahae, M. Said, A. A., and Van Stryland, E. W., High-sensitivity, single-beam n2 measurements, Opt. Lett. 14, 955 (1989). Lynch, R. T., Jr., Levenson, M. D., and Bloembergen, N., Experimental test for deviation from Kleinman’s symmetry in the third order susceptibility tensor, Phys. Lett. 50A(1), 61 (1974). Levenson, M. D., and Bloembergen, N., Dispersion of the nonlinear optical susceptibility tensor in centrosymmetric media, Phys. Rev. B10(10), 4447 (1974). Milam, D., Weber, M. J., and Glass, A. J., Nonlinear refractive index of fluoride crystals, Appl. Phys. Lett. 31(12), 822 (1977). Le Saux, G., Salin, F., Georges, P., Roger, G., and Brun, A., Measurement of the nonlinear index n2 of BSO crystals, Appl. Opt. 27, 2812 (1988).

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Section 1: Crystalline Materials 34. 35.

36.

37.

38. 39. 40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50. 51. 52. 53. 54. 55.

56.

175

Milam, D., and Weber, M. J., Time-resolved interferometric measurements of the nonlinear refractive index in laser materials, Opt. Commun. 18(1), 172 (1976). Sheik-Bahae, M., Said, A. A., Wei, T. H., Wu, Y. Y., Hagan, D. J., Soileau, M. J., and Van Stryland, E. W., Z-scan: a simple and sensitive technique for nonlinear refraction measurements, SPIE 1148, 41 (1989). Borshch, A. A., and Brodin, M. S., Nonlinear polarizability of some binary and mixed semiconductors, Bull. Acad. Sci. U.S.S..R, Phys. Ser. (USA) 43(2), 98 (1978); Borshch, A. A., Brodin, M. S., Krupa, N. N., Lukomiskii, V. P., Pisarenko, V.G., Petropaviovskii, A.I., and Chernyi, V.V., Determination of the coefficients of the nonlinear refractive index of a CdS crystal by the nonlinear refraction method, Sov. Phys. JETP 48(1), 41 (1978). Canto-Said, E .J., Hagan, D. J., Young, J., and Van Stryland, E. W., Degenerate four-wave mixing measurements of high-order nonlinearities in semiconductors, IEEE J. Quantum Electron. 27, 2274 (1991). Kremenitskii, V., Odulov, S., and Soskin, M., Backward degenerate four-wave mixing in cadmium telluride, Phys. Status Solidi (A) 57, K71 (1980). Penzkofer, A., Schmailzi, J., and Glas, H., Four-wave mixing in alkali halide crystals and aqueous solutions, Appl. Phys. B 29, 37 (1982). Kramer, S. D., Parson, F. G., and Bloembergen, N., Interference of third-order light mixing and second-harmonic exciton generation in CuCl, Phys. Rev. B9(4), 1853 (1974). Wynne, J. J., Optical third-order mixing in GaAs, Ge, Si, InAs, Phys. Rev. 178, 1295 (1969). Rhee, B. K., Bron, W. E., and Kuhl, J., Determination of third-order nonlinear susceptibility χ(3) through measurements in the picosecond time domain, Phys. Rev. B30, 7358 (1984). Watkins, D. E., Phipps, C. R., and Thomas, S. J., Determination of the third-order nonlinear optical coefficients of germanium through eclipse rotation, Opt. Lett. 5(6), 248 (1980). Wood, R. A., Kahn, M. A., Wolff, P. A., and Aggarwal, R. L., Dispersion of the nonlinear optical susceptibility of N-type germanium, Opt. Commun. 21(1), 154 (1977). Depatie, D., and Haueisen, D., Multiline phase conjugation at 4 µm in germanium, Opt. Lett. 5(6), 252 (1980). Hill, J. R., Parry, G., and Miller, A., Nonlinear refractive index changes in CdHgTe at 175 K with 10.6 µm radiation, Opt. Commun. 43(2), 151 (1982). Weaire, D., Wherrett, D. S., Miller, D. A. B., and Smith, S. D., Effect of low-power nonlinear refraction on laser-beam propagation in InSb, Opt. Lett. 4(10), 331 (1979). Miller, D. A. B., Seaton, C. T., Prise, M. E., and Smith, S. D., Band-gap-resonant nonlinear refraction in III-V semiconductors, Phys. Rev. Lett. 47(3) (197 (1981). Yuen, S. Y., and Wolff, P. A., Difference-frequency variation of the free-carrier-induced, thirdorder nonlinear susceptibility in n-InSb, Appl. Phys. Lett. 40(6), 457 (1982). DeSalvo, R., Hagan, D. J., Sheik-Bahae, M., Stegeman, G., and Van Stryland, E. W., Selffocusing and self-defocusing by cascaded second-order effects in KTP, Opt. Lett. 17, 28 (1992). Van Stryland, E. W., Dispersion of n 2 in solids, Laser-Induced Damage in Optical Materials: 1990, SPIE 1441, 430 (1991). Wynne, J. J., Nonlinear optical spectroscopy of χ(3) in LiNbO3, Phys. Rev. Lett. 29, 650 (1972). Borshch, A. A., Brodin, M. S., and Volkov, V. I., Self-focusing of ruby-laser radiation in singlecrystal silicon carbide, Sov. Phys. JETP 45(3), 490 (1977). Bliss, E. S., Speck, D. R., and Simmons, W. W., Direct interferometric measurements of the nonlinear refractive index coefficient n2 in laser materials, Appl. Phys. Lett. 25(12), 728 (1974). Mansour, N., Soileau, M. J., and Van Stryland, E. W., Picosecond damage in Y2O3 stabilized zirconia, in Laser-Induced Damage in Optical Materials, National Bureau of Standards Special Publication 727 (National Bureau of Standards, Washington, DC, 1984), p. 31. Guha, S., Mansour, N., and Soileau, M. J., Direct n2 measurement in yttria stabilized cubic zirconia, in Laser-Induced Damage in Optical Materials, National Bureau of Standards Special Publication 746 (National Bureau of Standards, Washington, DC, 1985), p. 80.

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Handbook of Optical Materials

1.9.2 Two-Photon Absorption* Two-photon absorption (2PA) occurs in all materials at sufficiently high irradiance when the combined energy of two quanta of light matches a transition energy between two states of the same parity. The fundamental equation describing this loss of irradiance I with depth z in a material is 2

dI/dz + βI , where β is the two-photon absorption coefficient. The coefficient β is proportional to the (3) (3) imaginary part of χ (–ω,ω,ω,–ω). The relationship between n2, β, and χ is analogous to the relationship between n0, the linear absorption coefficient α, and the linear susceptibility χ. The two-photon absorption coefficient β depends not only on the frequency arguments but also on the state of polarization, propagation direction, and crystal symmetry as β is derived (3) (3) from the imaginary part of the third-order susceptibility tensor χ . Relations for χ for cubic crystals for several polarization orientations are presented in reference 1. These (3) relations are valid for both the real and imaginary parts of χ . For a linear or circularly polarized wave: 2

2 2

(3)

2

2 2

(3)

β(LP) = (32π ω/n c )3χ 1111 and β(CP) = (64π ω/n c )3χ 1122. Because these equations are in cgs units (esu), β is in cm s/erg rather than the more common mixed unit of cm/W. Several methods have been used to measure the two-photon absorption coefficient in solids. Direct transmission measurements as a function of irradiance have been the primary method to determine absolutely calibrated values of β as well as two-photon absorption spectra. Several other techniques have been utilized to obtain calibrated as well as relative measurements and two-photon absorption spectra. These are listed in the table to follow. Many of these methods require calibration. Direct transmission experiments are best suited for absolute calibration. Because to give a value for β a measurement of the absolute irradiance is needed, single-beam experiments are most easily calirated. Once absolute calibration is obtained at a single wavelength, relative measurements and spectral measurements can be calibrated. * This section was adapted from Van Stryland, E. W. and Chase, L. L., Two-photon absorption: inorganic materials, Handbook of Laser Science and Technology, Suppl. 2: Optical Materials (CRC Press, Boca Raton, FL, 1995), p. 299.

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Section 1: Crystalline Materials

177

Techniques for Measuring Two-Photon Absorption Method AI1 AI2 AIS C CR EPR FCC GTA IA L HGE PA PC TCN TL TRT Z-scan

Attenuation vs. irradiance for a single beam Attenuation vs. irradiance; two beams, usually one scanned in ω Attenuation vs. irradiance; broad spectrum treated simultaneously Calorimetry Comparison of 2-photon loss and Raman gain Elliptical polarization rotation F-center coloration Gain measurement in a 2-photon-pumped amplifier Intracavity absorption Luminescence or fluorescence Harmonic generation efficiency Photoacoustics Photoconductivity or photo-Hall effect Two-channel normalization Thermal lensing Time-resolved transmission A propagation method to measure β and n2

Ref. 3, 4 5 6 7 8, 9 10 11 12 13 14, 15 16 17 18, 19 20 21 22 23

The experimental data on two-photon absorption coefficients (β in cm per GW) are presented in the following table. Materials are listed alphabetically. The method of measurement (using the above table), the pulse duration tp, the input two-photon excitation energy 2hω (or range of energies if spectra are given), band gap energy Eg (if given in the reference) or absorption cutoff energy for wide-gap materials, and linear index n0(hω) are listed. The linear refractive indices are taken from reference 2. The following shorthand notation is used in the table: Anisot. = anisotropy; βl and βc = β measured with linearly or circularly polarized light, respectively; Cleartran = brand name of heat-treated ZnS that makes it water clear and is grown by CVD = chemical vapor deposition; Dir. = direct; K = Kelvin; L = length; Mag. = magnetic; Pol. = polarized; SHG = second harmonic generation; T = temperature; t = time; E for SHG, means that the electric field and propagation direction are aligned for SHG phase matching.

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178

Two-Photon Absorption Data

Ag3AsS3 Ag3AsS3 Ag3AsS3 AgCl AgCl AgCl AgGaSe2 α-AgI A1As-GaAs Al2O3 Al2O3 Al2O3 As2S3 BaF2 BaF2 BaF2 BaTiO3 BaTiO3 Bi4Ge3O12 Bi4Ge3O12 Bi4Ge3O12 Bi4Ge3O12 C (diamond) C (diamond)

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Bandgap

τp (ns)

Eg (eV)

10 25 20

2.1

3.2 9 9 ~0.01

0.017 0.015 0.12 30 0.017 0.015 0.0007 17 0.0012 ~10 9 9 10 4.0 0.021

1.1 2.9 1.7 9.9

2.5 9.1

3.5 4.2

5.47

2hhω (eV) 2.7–3.2 3.56 2.34 4.0–4.4 6.6–7.6 3.3–4.2 2.33 3.0–3.06 1.65–1.8 6.99 9.32 8.05 2.4–3.6 6.99 9.32 10.0 3.4–4.2 4.16 4.1–5.1 4.27–4.83 4.2–5 4.8–5.7 4.55 4.66

Index

2PA coefficient

n0 (hhω)

(cm/GW)

~2.7 ~2.7 ~2.7 2.0 2.07 2.7

~1.79 ~1.84 ~1.8 ~2.6 1.49 ~1.5 ~1.5 ~2.4 2.1 2.1 2.1 2.42 2.42

Abs. spectr. (10 @ 3.1 eV) 20 <3 Abs. spectr. (0.5 @ 4.3 eV) Relative spectrum Relative spectrum 1.4 Relative spectrum Relative spectrum <0.0016 0.27 0.0276 Abs. spectr. (25 @ 3.4 eV) <0.0036 <0.0040 0.11 Abs. spectr. (4 @ 4 eV) 0.1 Relative spectrum Abs. spectr. (50 @ 4.5eV) Relative spectrum Abs. spectr. (10 @ 5.6 eV) <0.003 <0.26

Additional Ref. 24, 25 26 26 27 28 28 29 30 191 3 3 31 32 33 33 34 35 36 37 38 39 40 9 41

information

Indirect gap 77 K 80 K 1.6 K

392 K Photorefraction 80 K 80 K 80 K

Handbook of Optical Materials

Material

Pulse

0.000135 0.015 0.015 4.0 0.015 0.0007 0.12 4.0 0.017 0.015 9

15 3 × 105 30 40 30 30

30 30 5 0.006 30 300

5.9 10

6

3.9

2.42

8.0 6.99 9.32 4.31 9.32 10.0 8.05 4.31 6.99 9.32 3.5–4.4 2.34 3.56 2.4–3.2 3.56 2.5–3.5 2.5–3.4 3.56 2.5–3.5 2.54–3.6 2.54–3.6 3.56 2.65–3.45 2.54–2.55 2.5–3.5 2.550–2.554 3.56 2.5–2.6

~2.5 ~2.5 ~1.5–1.8 1.43 1.46 1.47 1.46

~2.42 2.35–2.42 2.35–2.4 ~2.42 2.3–2.4 2.35–2.44 2.35–2.44 ~2.42 2.35–2.4 ~2.35 2.35–2.42 ~2.35 ~2.42 ~2.35

0.74 0.3 0.24 <0.004 <0.02 0.0083 0.00092 <0.03 <0.042 1.6 Relative spectrum 160 800 Abs. spectr. (11 @ 2.9 eV) 12 Abs. spectr. (20 @ 2.8 eV) Abs. spectr. (14.7 @ 3.4 eV) 30 Relative spectrum Abs. spectr. (30 @ 3.0 eV) Abs. spectr. (30 @ 3.0 eV) 100 Abs. spectr. (35 @ 4 eV) Relative spectrum Abs. spectr. (18 @ 3.35 eV) Relative spectrum 15; 20 Abs. spect. (4000 @2.54 eV)

42 43 3 9 3 34 31 9 33 33 39 44 44 45 46 47 48 49 50 51 51 52 53 54 55 56 57 58

Indirect gap k || [001]

Indirect gap

123 K

Anisotropy 77 K 77 K β vs. length

1.6 K E || c; E ⊥ c

179

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Section 1: Crystalline Materials

C (diamond) C (diamond) CaCO3 CaF2 CaF2 CaF2 CaF2 CdF2 CdF2 CdF2 CdI2 CdP2 CdP2 CdP2 CdS CdS CdS CdS CdS CdS CdS CdS CdS CdS CdS CdS CdS CdS

180

Two-Photon Absorption Data—continued Method

CdS CdS CdS CdS CdS

L AI1 AI1 AI2 PC

CdS

CR

CdS CdS CdS.25Se.75 CdS0.5Se0.5 CdS0.5Se0.5 CdS0.8Se0.2 CdS0.9Se0.1 CdSe CdSe CdSe CdSe CdSe CdSe CdSe CdSe

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Pulse

Bandgap

τp (ns)

Eg (eV)

2hhω (eV)

~2.35 ~2.42 ~2.42

2.58

2.56–2.62 3.56 3.56 2.5–3.6 ~5.1–5.2 3.91

~2.5

~25 20 45 ~10

2.5 2.4 2.5

8

0.027 0.038 11; 26 0.038 30 30

1.78 1.93

1.7

20 15 0.030 ~20 16

4.66 4.66 2.33 2.33 2.33 3.56 3.56 2.33 2.33 2.33 2.33 2.33 2.33 1.88; 2.33 2.33

Index

2PA coefficient

n0 (hhω)

(cm/GW)

~2.8

~2.64 2.51 2.45

2.56 2.56 2.56 2.56 2.56 2.56 2.5; 2.56 2.56

Relative spectrum 56 120; 56 Abs. spectr. (20 @ 3.2 eV) Magnetospectra 0 < B < 10 Tesla 120; k || c; 110 k ⊥ c, E ⊥ c 140 k ⊥ c, E ⊥ c 0.9; 1.8 5.5 15 32;135 10 130 70 950 900; 390 200 60–140 40 30 2; <20 50

Additional Ref. 107 106 82 62 63 65 66 67 67 7 67 49 49 68 69 70 71 72 73 26 74

information

Self-focusing E || c; E ⊥ c β vs. pol. A-excitons 1.8 K β vs. T and resistance E || c; E ⊥ c

E ⊥ z; E || z

Handbook of Optical Materials

Material

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11; 26 0.040 79 0.038 ~200 0.006 30

1.9–2.4 1.56

0.030 0.030 16 11; 38 79 0.040 20 0.005 0.038 0.035 0.040 ~10 0.017 0.017 ~106

6.9

6.2

2.33 2.33 1.88 2.33 3.65 2.36 3.56 2.33, 3.56 2.33 2.33 2.33 2.33 2.33 2.33 1.88 2.33 2.33 2.34 2.33 2.33 2.33 7.2–8.0 6.99 6.99 5.7–6.8

2.56 2.56 ~2.5 2.56 ~2.6 2.56

2.84 2.84 2.84 2.84 2.84 2.84 ~2.7 2.84 2.84 2.84 2.84 2.84 2.84 ~1.8–1.9 1.6 1.6 ~1.8–1.9

25; 38 35 67 18 ~106 18 100–1700 Relative spectrum 200 180 25 βCdTe/βGaAs = 0.78 130 53; 78 120 50 170 12; 8 22; 15 8 26 Abs. spectr. (10 @ 7.5 eV) 0.051; 0.080 0.028 Relative spectrum

7 75 7 67 76 77 78 79 70 80 73 20 74 7 7 75 81 82 67 83 84 85 3 3 86,87

4.2K, t resol. No dep. SHG 300 K, 77 K

300 K, 85 K, E || z

270 K; 100 K Cryst., polycryst. Polycrystal 20 K E || z; E ⊥ z

Section 1: Crystalline Materials

CdSe CdSe CdSe CdSe CdSe CdSe CdSxSe1–x CdSxSe1–x CdTe CdTe CdTe CdTe CdTe CdTe CdTe CdTe CdTe CdTe CdTe CdTe CdTe CsBr CsD2AsO4 CsH2AsO4 CsI

181

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182

Two-Photon Absorption Data—continued

CsI CsI CsI CsI CsI Cu2O Cu2O Cu2O CuBr CuBr CuCl CuCl CuCl CuCl CuCl CuCl CuCl CuCl CuCl CuCl CuI FeBO3 GaAs GaAs

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Pulse

Bandgap

τp (ns)

Eg (eV)

~10 5 6 0.00035 40 0.0005 30 45 ~10

2.1

3 3.3

16 ~5 45 ~10 5 9 9 45 12

3.1 ~2.5 1.42

2hhω (eV) 6.2–6.8 6.0–6.8 7.0 6.99 8.05 2.0–2.8 3.4–3.9 2.03–2.17 2.97–3.10 3.56 3.2–4.25 3.21–3.56 3.16–3.20 3.16–3.18 3.56 3.2–5.4 3.2–5.4 3.18–3.19 3.34–4.1 3.34–4.1 3.56 2.6–3.6 2.33 2.33

Index

2PA coefficient

n0 (hhω)

(cm/GW)

~1.8–1.9 ~1.8–1.9 1.89 1.89 ~1.9

2.1 2.1 ~2 1.97 1.95 1.95 1.97 ~2 ~2 1.95 1.92 1.92 1.97 3.43 3.43

Abs. spectr. (40 @ 6.5 eV) Relative spectrum Relative spectrum 6 4.5 Relative spectrum Relative spectrum Relative spectrum Relative spectrum 200 Relative spectrum Relative spectrum 1 × 106 ~3 × 106 45 Relative spectrum Relative spectrum Relative spectrum Abs. spectr. (30 @ 3.5 eV) Relative spectrum 89 Abs. spectr. (5 @ 3.4 eV) 300 20

Additional Ref. 85 88 89 90 91 92 93 94 95 62 96 97 98 4 62 99 100 10 38 39 62 101 68 70

information 20 K 20 K

3 × 1018 Na+ 20 K Excitons

20 K 4.2 K 4 K, 77 K 4.2 K

4.3 K, β vs Pol 4K 80 K 80 K 108 K

Handbook of Optical Materials

Material

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22 ~125 30 ~50 15 0.030 ~10 5 0.008 0.030 30 ~0.035 0.038 0.045 0.005 0.035 0.05 0.027 0.08 0.040 50 0.030

2.26

2.33 2.33 1.88 2.33 2.33 1.5–2.33 2.33 2.33 2.33 1.4–1.8 2.33 2.33 2.33 2.33 1.3–1.7 2.33 2.33 2.34 2.33 2.33 2.33 2.33 2.33 2.33 2.33 3.92 3.18

3.43 3.43 ~3.4 3.43 3.43 ~3.4 3.43 3.43 3.43 ~3.35 3.43 3.43 3.43 3.43 3.43 3.43 3.43 3.43 3.53 3.43 3.43 3.43 3.12 3.12 3.35 3.18

800 360 33 230 80 Abs. spectr. (1100 @ 1.5eV) 60 28 35; 78 Abs. spectr. (5.1 @ 1.6eV) 70 15 30 100 Relative spectrum 23 26 45 27 29 18, 22 26 26 1.7 0.2 250 250

49 102 103 104 80 105 72 46 106 107 108 109 7 110 111 67 112 113 114 115 116 117 84 118 73 119 59

n-type

300 K, 85 K

E || z

100 K

295 K, 103 K Cross-pol. In Chinese

No anisotropy Indirect gap E || [110]

Section 1: Crystalline Materials

GaAs GaAs GaAs GaAs GaAs GaAs GaAs GaAs GaAs GaAs GaAs GaAs GaAs GaAs GaAs GaAs GaAs GaAs GaAs GaAs GaAs GaAs GaAs GaP GaP GaP GaP

183

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184

Two-Photon Absorption Data—continued

GaS GaS GaSe Ge Ge Ge Hg.0.78Cd0.22Te Hg.0.78Cd0.22Te Hg2Cl2 Hg2Cl2 Hg2Cl2 InP InP InP InP InSb InSb InSb InSb InSb InSb InSb InSb InSb

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Bandgap

τp (ns)

Eg (eV)

2hhω (eV)

20 20 20 80 100 ~480 ~200 300 2 2

2.8 2.3 2.0 0.66

200 22 30 100 ~200 ~200 ~200 ~10 ~200 30 ~150 ~200 300

1.34

3.56 2.33 2.33 1.06 0.8–1.0 0.916 0.233 0.233 4.7–5.2 4.1–5.7 4–5.5 2.33 2.33 2.33 2.34 0.233 0.233 0.257 0.233 0.257 0.233 0.233 0.233; 0258 0.233

0.17 3.9

0.17

Index

2PA coefficient

n0 (hhω)

(cm/GW)

~4 ~4 4.05

3.33 3.33 3.33 3.33 3.95 3.95 3.95 3.95 3.95 3.95 3.95 3.95 3.95

100 0.05 110 50 2500 160 14000 1 × 104, 3 × 104 Relative spectrum Relative spectrum Polarization dependence 210 260 1800 60 59.6–119 0 1151–1419 16000 946–1850 15000 220 8000; 14000 4800

Additional Ref. 120 120 120 121 122 19 123 124 125 126 127 104 102 110 128 129 129 129 130 129 104 19 123 124

information Direct gap Indirect gap

300 K; 150 K 8.5 K, E || c 8.5 K 8.5 K

βl/βc = 1.8 77 K 2K 77 K 2K

Handbook of Optical Materials

Material

Pulse

300 130 CW 0.045 15 ~10 0.015 15 10 8 0.015 10 0.017 0.030 0.030 0.017 0.017 0.017 0.015 0.5 15

20 0.017 0.015 15

7.6

8.5

7.0

7.0

0.233 0.233 0.26 0.234; 0.258 7.12 7.0–8.0 9.32 6.7 7.18 9.32 9.32 8.1–8.5 6.99 9.32 9.32 6.99 6.99 6.99 9.32 9.32 7.12 6.0–7.5 6.1–7.7 6.23–6.36 7.12 6.99 9.32 6.7

3.95 3.95 3.95 3.95 ~1.6 ~1.6 ~1.6 ~1.6 ~1.6 1.6 1.6 1.6 ~1.6 1.57–1.51 1.57–1.51 1.53–1.49 ~1.6 1.53–1.49 1.57–1.51 1.57–1.51 ~1.9 ~1.7–1.9 ~1.7–1.9 ~1.7–1.8 ~1.9 ~1.9 2.0 ~1.9

220 2000–5600 2900 2500; 1700 3.3 Relative spectrum 2.0 8.0 βKBr = 0.64 βKI 1.5 2.2 Abs. spectr. (400 @ 8.5eV) 0.027 0.027 0.027 0.0054 0.048 0.0059 0.27 0.5 4.4 Relative spectrum Relative spectrum Relative spectrum 10 7.3 3.7 18

124 130 131 132,133 134 135 3 136 137 11 3 138 3 139 140 3 3 3 3 141 134 142 88 143 144 3 3 136

77 K Magnetic field 300 K 20 K, 80 K

20 K

k⊥c

E ⊥ opt.axis

20 K

185

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Section 1: Crystalline Materials

InSb InSb InSb InSb KBr KBr KBr KBr KBr KCl KCl KCl KD2AsO4 KD2PO4 KD2PO4 KD2PO4 KH2AsO4 KH2PO4 KH2PO4 KH2PO4 KI KI KI KI KI KI KI KI

186

Two-Photon Absorption Data—continued

KI KI KI KRS-V KTa0.7Nb0.3O3 KTaO3 KTP LiF LiIO3 LiNbO3 LiNbO3 LiNbO3 LiYF4 MgF2 MgF2 NaBr NaCl NaCl NH4H2AsO4 NH4H2PO4 NH4H2PO4 NH4H2PO4 NH4H2PO4 NH4H2PO4

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Pulse

Bandgap

τp (ns)

Eg (eV)

0.024 10 10 38 0.010 17 0.019 0.015 10 30 0.025 10 0.015 0.017 0.015 0.015 0.015 10 0.017 0.030 0.015 0.017 0.5 0.5

3.5 3.5 13.6 4.0 4.0

~11 10.8 7.5 9.0

6.8

2hhω (eV) 7.12 7.12 6.0–6.7 2.33 4.66 3.9–4.6 4.66 9.32 4.4–4.8 3.56 4.66 4.4–4.8 9.32 6.99 9.32 9.32 9.32 8.1–8.6 6.99 9.32 9.32 6.99 9.32 4.67 + 5.83

Index

2PA coefficient

n0 (hhω)

(cm/GW)

~1.9 ~1.9 2.44

1.8 1.4 1.75–1.9 ~2.2 2.3–2.2 2.3–2.2 1.5 1.4 1.4 1.8 ~1.64 ~1.6 1.59–1.53 1.59–1.53 1.55–1.50 1.59–1.53 ~1.6

8 Relative value Abs. spectr. (300 @ 6.5 eV) 1.6 14 Abs. spectr. (1 @ 4.4 eV) 0.1 <0.02 <0.4 10. 3.4 Abs. spectr. (1.5 @ 4.66 eV) <0.004 <0.0062 <0.0028 2.5 3.5 Abs. spectr. (200 @ 8.5 eV) 0.035 0.11 0.24 0.0068 0.35 1

Additional Ref. 145 137 138 7 146 35 147 3 148 49 149 148 33 33 33 3 3 138 3 139 3 3 141 141

information

20 K

E for SHG

20 K No pol., k ⊥ c

E ⊥ opt. axis E for 5th harmonic

Handbook of Optical Materials

Material

0.5 20 ~10 50 ~10 0.017 0.015 15 10 0.015 0.017 0.017 ~10 0.017 0.015 10 200 25 0.020 79 0.004–0.1 0.00009 30 20 0.015 ~10

2.4 3.6 7.25

8.3

5.83

1.12 “1.1”

2.6 8.4 3.4

11.66 3.56 2.46–2.55 3.2–4.2 7.0–8.0 6.99 9.32 6.7 7.12 9.32 6.99 6.99 6.1–7.0 6.99 9.32 7.12 2.33 2.33 1.62–2.2 2.33 1.88 2.33–2.34 4–4.5; 4.0 3.56 3.0–4.6 9.32 3.555–3.573

~1.6

~1.6 1.6 1.7 1.6 1.6 1.6

1.7 1.73 2.0 1.73 3.52 3.52 ~3.5 3.52 ~3.5 3.52 ~3.8 2.6 ~2.6 1.6

9.5 250 Relative spectrum Abs. spectr. (5 @ 4 eV) Relative spectrum 2.43 2.18 11 βRbBr = 0.55 βKI 1.1 0.050 0.059 Relative spectrum 5.1 2.5 βRbBr = 0.51 βKI 40 7300 Relative spectrum 1.9; 1.5 21 1.5 15–36; 34.6 200 Relative spectrum <0.045 Relative spectrum

141 120 150 151–52 135 3 3 136 137 3 3 3 135 3 3 137 153 70 154 155 7 156 156,157 49 159 3 160

E for 5th harmonic 1.6–300 K 80 K, 300 K 20 K, 80 K

20 K

T dependence 20 K; 100 K

Dir. Eg = 3.43 E || c; E ⊥ c

187

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Section 1: Crystalline Materials

NH4H2PO4 PbI2 PbI2 PbMoO4 RbBr RbBr RbBr RbBr RbBr RbCl RbH2AsO4 RbH2PO4 RbI RbI RbI RbI Si Si Si Si Si Si Si SiC SiC SiO2 (quartz) SnO2

188

Two-Photon Absorption Data—continued

SnO2 SrF2 SrF2 SrF2 SrTiO3 SrTiO3 SrTiO3 SrTiO3 SrTiO3 SrTiO3 Te TiO2 TiO2 TiO2 TiO2 TiO2 TiO2 TICl TlCl TlCl V2 O5 Y3Fe5O12 Zn.0.85Cd0.15Se Zn0.12Cd0.88Se

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Bandgap

τp (ns)

Eg (eV)

45 0.017 0.015 0.0007 ~30

9.4

4.1

17 5 200

0.33 3.5

0.004 0.004

45 20 20 ~10 60 17 10 10

3.6

~2.3 2.66 2.65 1.92

2hhω (eV) 3.56 6.99 9.32 10.0 3.56 3.92 3.2–4.4 4.1; 4.7; 5.0 3.2–5.5 3.3–4.2 0.342 3.3–4.1 4.66 3.96 3.92 4.1; 4.7; 5.0 3.56 3.4–4.4 3.4–4.4 3.39–3.56 3.56 2.5–3.5 3.56 3.56

Index

2PA coefficient

n0 (hhω)

(cm/GW)

1.45 1.47 1.47 2.38 2.4 ~2.4 2.4–2.5 ~2.4–2.5 ~2.4 ~5–6 ~2.5–2.9 ~2.6–3 ~2.6–2.9 ~2.6–2.9 ~2.6–3 ~2.5–2.9 2.2–2.26 2.2–2.26 2.2

300; 34 <0.0057 <0.0054 0.011 2.9 3 Abs. spectr. (4 @ 4.2 eV) 1.3; 4.1; 10.2 Abs. spectr. (5 @ 5.0 eV) Abs. spectr (2 @ 4.1 eV) 800 Abs. spectr. (300 @ 4 eV) 14 6.5 23 12.7; 87; 170. 150; 120 Abs. spectr. (0.45 @ 3.8 eV) Abs. spectr. (4.7 @ 4.0 eV) Relative spectrum 720 Abs. spectr. (300 @ 3.51 eV) 56 620; 260

Additional Ref. 62 33 33 34 161 119 35,162 163 17 164 140 166 167 167 119 163 62 165 169 170 171 172 173 173

information E || c; E ⊥ c

E || c; E ⊥ c

4, 20, 77 K E || [001] T dep., β vs. pol. E ⊥ z; E || z

Handbook of Optical Materials

Material

Pulse

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45 35

~3 2.62

20

3.35

~10 45 50 0.027 9

15 25 15

2.22 3.68

20 45 5 0.027 30 10 40

2.71

3.56 2.6–3.6 2.6–3.4 3.42–3.45 3.56 3.42–3.43 3.42–3.48 4.1; 4.7; 5.0 3.56 3.4–4.2 4.67 3.4–4.2 2.34 3.56 2.4–3.2 2.2–2.7 2.4–3.4 3.7–4.2 3.6–4.0 3.56 3.56 3.65–5.5 3.7–5.3 4.67 3.56 3.56 2.6–3.6

2.0 2.0 2.0 2.0–2.1 2.0 2.0 2.05 2.0

~2.36 ~2.35 ~2.35 ~2.35 2.35–2.5 2.4 ~2.6 ~2.6 ~2.5–2.6

60 Abs. spectr. (20 @ 3.4 eV) Abs. spectr. (10 @ 3 eV) Relative spectrum 26; 21 Abs. spectr. (2 @ 3.4 eV) Relative spectrum 19.8; 20.9; 47.8 34; 16 Abs. spectr. (10 @ 3.8 eV) 5.0 Abs. Spectr. (10 @ 3.5 eV) 120 650 Abs. spectr. (10 @ 2.9 eV) Abs. spectr. (10 @ 2.6 eV) Relative spectrum Abs. spectr. (2.3 @ 4.0 eV) Relative spectrum 4.3 20; 0 Relative spectrum Abs. spectrum (2 @ 4.1 eV) 2.0; 3.5 40 45 Abs. spectr. (4 @ 3.0 eV)

62 174 63 175 176 177 88 163 62 133 67 28,38 44 44 45 179 180 154 181 18 62 17 63 67 49 173 182

β vs. pol. k⊥c 4.2 K in 42 kG field 1.6 K E || c; E⊥c β vs. pol. 80 K

Impurities

Cu-doped E || c; E ⊥ c E || z β vs. pol Cleartran, CVD

Section 1: Crystalline Materials

Zn0.5Cd0.5S Zn0.5Cd0.5S Zn0.5Cd0.5S ZnO ZnO ZnO ZnO ZnO ZnO ZnO ZnO ZnO ZnP2 ZnP2 ZnP2 ZnP2 ZnP2 ZnS ZnS ZnS ZnS ZnS ZnS ZnS ZnSe ZnSe ZnSe

189

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190

Two-Photon Absorption Data—continued

ZnSe ZnSe ZnSe ZnSe ZnSe ZnSe ZnSe ZnSe ZnSe ZnSe ZnTe ZnTe ZnTe ZnTe ZnTe ZnTe ZnTe ZnTe ZnxCd1–xSe Zn0.12Cd0.88Se Zn0.5Cd0.5Se Zn0.85Cd0.15Se ZrO2-(Y2O3)

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Method AI2 CR AI1 AI2 TCN AI2 AI2 AI1 AI1 Z-scan AI1 AI1 AI1 AI1, TCN AI1 AI2 AI1 Z-scan AI1 AI1 AI1 AI1 AI1

Bandgap

τp (ns)

Eg (eV)

40 45 15 20 15 20 0.027 0.03 30

2.3

0.030 20 45 30 0.038 0.040 10 45 10 0.03

2.45–3.55 1.92 ~3 2.65 ~4.1

Index

2PA coefficient

2hhω (eV)

n0 (hhω)

(cm/GW)

2.75–3.45 3.18 3.56 2.7–3.75 3.56 2.7–3.8 2.9–3.7 3.56 4.67 4.67 2.33 3.56 2.33 2.34; 3.56 3.56 2.8–4 2.33 2.33 3.56 3.56 3.5 3.56 4.66

~2.5–2.6 ~2.53 ~2.6 ~2.5–2.6 ~2.6 ~2.5–2.6 ~2.5–2.6 ~2.6 2.7 2.7 2.79 2.91 2.79 2.79; 2.91 2.91 ~3 2.79 2.79

2.12

Abs.spectr. (13 @ 3.45 eV) 60 17000 Abs. spectr. (10 @ 3.5 eV) 80 Abs. spectr. (10 @ 3.4 eV) Abs. spectr. (10 @ 3.4 eV) 4–15 5.5 5.8 34 500 8.0 20; 300 8000 Abs. spectr. (4 @ 3.1 eV) 4.5 4.2 50–1 620, 260 60 56 0.013

Additional Ref.

information

183 59 62 45 81 63 184 185 67 84 104 186 73 187 62 188 67 84 189 173 62 173 190

Impurity resonances 300 K, cubic

β vs. pol β vs Cu doped β vs Cu doped

77 K E || z T-tuned band gap Arb. pol. Time resolved

Anistropy

Independent of Y2O3

Handbook of Optical Materials

Material

Pulse

Section 1: Crystalline Materials

191

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112. Boggess, T. F., Smirl, A. L., Moss, S. C., Boyd, I. A. and Van Stryland, E. W., Optical limiting in GaAs, IEEE J. Quantum Electron. QE-21, 488–494 (1985). 113. Penzkofer, A., and Bugayev, A. A., Two-photon absorption and emission dynamics of bulk GaAs, Opt. Quantum Electron. 21, 283–306 (1989). 114. Valley, G. C., Boggess, T. F., Dubard, J., and Smirl, A. L., Picosecond pump-probe technique to measure deep-level, free-carrier, and two-photon cross sections in GaAs, J. Appl. Phys. 66, 2407–2413 (1989). 115. Hai-Mimg, Ma, Self-transitions of picosecond light pulses in GaAs, in Chinese, Chin. J. Phys. 38, 1530–1533 (1989). 116. Bugaev, A. A., Dunaeva, T. Yu., and Lukoshkin, V. A., Influence of nonlinear refraction, absorption by free carriers, and multiple reflection on the determination of the two-photon absorption coefficient of GaAs, Sov. Phys. Solid State 31, 2031–2034 (1990). 117. Aitchison, J. S., Oliver, M. K., Kapon, E., Colas E., and Smith, P. W. E., Role of two-photon absorption in ultrafast semiconductor optical switching devices, Appl. Phys. Lett. 56, 1305–1307 (1990). 118. Yee, J. H., and Chan, H. H. M., Two-photon indirect transitions in GaP crystal, Opt. Commun. 10, 56 (1974). 119. Lotem, H., and de Araujo, C. B., Absolute determination of the two-photon absorption coefficient relative to the inverse Raman cross section, Phys. Rev. B 16(4), 1711 (1977). 120. Catalano, I. M., Cingolani, A., and Minafra, A., Multiphoton processes in layered structures, Il Nuovo Cimento 38B(2), 579 (1977); Adduci, F., Catalano, I. M., Cingolani, A., and Minafra, A., Direct and indirect two-photon processes in layered semiconductors, Phys. Rev. B 15(2), 926 (1977). 121. Zubov, B. V., Murina, T. M., Olovyagin, B. R., and Prokhorov, A. M., Investigation of nonlinear absorption in germanium, Sov. Phys. Semicond. 4(4), 559 (1971). 122. Wenzel, R. G., Arnold, G. P., and Greiner, N. R., Nonlinear loss in Ge in the 2.5–4 µm range, Appl. Opt. 12(10), 2245 (1973). 123. Miller, A., Johnston, A., Dempsey, J., Smith, J., Pidgeon, C. R., and Holah, G. D., Two-photon absorption in InSb and Hg1-xCdxTe, J. Phys. C 12, 4839 (1979). 124. Johnston, A. M., Pidgeon, C. R., and Dempsey, J., Frequency dependence of two-photon absorption in InSb and Hgl–xCdxTe, Phys. Rev. B 22(2), 825 (1980). 125. Pelant, I., Ambroz, M., Hala, J., Kohlova, V., and Barta, C., Two-photon absorption in Hg2Cl2 crystals, Phys. Lett. 107A, 145–148 (1985). 126. Pelant, I., Lhotska, V., Hala, J., Ambroz, M., Kohlova, V., and Barta, C., Two-photon spectroscopy of Hg2Cl2 crystals, J. Lumin. 35, 37–42 (1986). 127. Pelant, I., Popova, M. N., Hala, J., Ambroz, M., Lhotska, V., and Vacek, K., Two-photon absorption and energy band structure of orthorhombic Hg2Cl2 crystals, Czech. J. Phys. B37, 1183–1197 (1987). 128. Areshev, I. P., Subashiev, V. K., and Faradzhev, B. G., Linear-circular dichroism of two-photon absorption and self-defocusing of neodymium laser radiation in n-type InP crystals, Sov. Phys. Semicond. 22, 199–200 (1987). 129. Fossom, H. J., and Chang, D. B., Two-photon excitation rate in indium antimonide, Phys. Rev. B 8(6), 2842 (1973). 130. Areshev, I. P., Guseinaliev, M. G., Danishevskii, A. M., Kochegarov, S. F., and Subashiev, V. K., Investigation of nonlinear absorption of light in indium antimonide by the two-beam method, Sov. Phys. Solid State 22(5), 849 (1980); Double-beam linear dichroism investigation of the two-photon absorption in InSb, Phys. Status Solidi (B) 102, 383 (1980). 131. Seiler, D. G., Goodwin, M. W., and Weiler, M. H., High-resolution two-photon spectroscopy in InSb at milliwatt cw powers in a magnetic field, Phys. Rev. B 23(12), 6806 (1981). 132. Sheik-bahae, M., Rossi, T., and Kwok, H. S., Frequency dependence of the two-photon absorption coefficient in InSb: tunneling effects, J. Opt. Soc. Am. B4 1964–1969 (1987). © 2003 by CRC Press LLC

Section 1: Crystalline Materials

197

133. Sheik-bahae, M., and Kwok, H. S., Picosecond CO2 laser-induced self-defocusing in InSb, IEEE J. Quantum Electron. QE-23 1974–1980 (1987). 134. Geller, M., DeTemple, T. A., and Taylor, H. F., Quantum efficiency for F-center production by two-photon absorption, Solid State Commun. 7, 1019 (1969). 135. Fröhlich, D., and Staginnus, B., New assignment of band gap in the alkali bromides by twophoton spectroscopy, Phys. Rev. Lett. 19(9), 496 (1967). 136. Prior, Y., and Vogt, H., Measurements of uv two-photon absorption relative to known Raman cross sections, Phys. Rev. B 19, 5388 (1979). 137. de Araujo, C. B., and Lotem, H., Ultraviolet two-photon absorption in alkali-halides, Phys. Rev. B 26, 1044 (1982). 138. Piacentini, M., Two-photon absorption using synchrotron radiation, Phys. Scrip. T19, 612–616 (1987). 139. Reintjes, J. F., and Eckardt, R. C., Two-photon absorption on ADP and KD*P at 266.1 nm, IEEE J. Quantum Electron. QE-13(9), 791 (1977); Efficient harmonic generation from 532 to 266 nm in ADP and KD*P, Appl. Phys. Lett. 30(2), 91 (1977). 140. Oudar, J., Schwartz, C. A., and Batifol, E. M., Influence of two-photon absorption on secondharmonic generation in semiconductors. II. Measurement of two-photon absorption in tellurium, IEEE J. Quantum Electron. QE-11(8), 623 (1975). 141. Penzkofer, A., and Kaiser, W., Nonlinear loss in Nd-doped laser glass, Appl. Phys. Lett. 21(9), 427 (1972). 142. Park, K., and Stafford, R. G., Evidence for an optical transition at a noncentrosymmetric point of the Brillouin zone in KI, Phys. Rev. Lett. 22(26), 1426 (1969). 143. Stafford, R. G., and Park, K., LO-phonon-assisted absorption in KI, Phys. Rev. Lett. 25(24), 1652 (1970); LO-phonon-assisted transitions in the two-photon absorption spectrum of KI, Phys. Rev. B 4(6), 2006 (1971). 144. Catalano, I. M., Cingolani, A., and Minafra, A., Multiphoton transitions in ionic crystals, Phys. Rev. B 5, 1629 (1972). 145. Blau, W., and Penzkofer, A., Intensity detection of picosecond ruby laser pulses by two-photon absorption, Opt. Commun. 36(5), 419 (1981). 146. von der Linde, D., Glass, A. M., and Rodgers, K. F., High sensitivity optical recording in KTN by two-photon absorption, Appl. Phys. Lett. 26(1), 22 (1975). 147. DeSalvo, R., Hagan, D. J., Sheik-Bahae, M., Stegeman, G., and Van Stryland, E. W., Selffocusing and self-defocusing by cascaded second-order effects in KTP, Opt. Lett. 17, 28–30 (1992). 148. Bityurin, N. M., Bredikhin, V. I., and Genkin, V. N., Nonlinear optical absorption and energy structure of LiNbO3 and α-LilO3 crystals, Sov. J. Quantum Electron. 8(11), 1377 (1978); Twophoton absorption and the characteristics of the energy spectrum of LiNbO3 and α-LilO3 crystals, Bull. Acad. Sci. U.S.S.R. Phys. Ser. USA 43(2), (1979). 149. Kurz, H., and Von der Linde, D., Nonlinear optical excitation of photovoltaic LiNbO3, Ferroelectrics 21, 621 (1978). 150. Fröhlich, D., and Kenlies, R., Two-photon absorption in PbI2, Il Nuovo Cimento 38B(2), 433 (1977). 151. Efendiev, Sh., Gavryushin, V., Raciukaitis, G., Puzonas, G., Kazlauskas, A., Darvishov, N., and Shakhdgan, S., Two-photon spectroscopy of PbMoO4 single crystals, Phys. Status Solidi B156, 697–704 (1989). 152. Baltrameyunas, R., Gavryushin, V., Rachyukaitis, G., Puzonas, G., Kaslauskas, A., Efendiev, Sh., Darvishov, N., and Bagiev, V., Indirect interband transitions in PbMoO4 single crystals.Two-photon spectroscopy, Sov. Phys. Solid State 31, 1455–1456 (1990). 153. Geusic, J. E., Singh, S., Tipping, D. W., and Rich, T. C., Three-photon stepwise optical limiting in silicon, Phys. Rev. Lett. 19(19), 1126 (1967). 154. Panizza, E., Two-photon absorption in ZnS, Appl. Phys. Lett. 10(10), 265 (1967). © 2003 by CRC Press LLC

198

Handbook of Optical Materials

155. Reintjes, J. F., and McGroddy, J. C., Indirect two-photon transitions in Si at 1.06 µm, Phys. Rev. Lett. 30(19), 901 (1973). 156. Boggess, T. F., Bihnert, K. M., Mansour, K., Moss, S. C., Boyd, I. A., and Smirl, A. L., Simultaneous measurement of the two-photon coefficient and free-carrier cross section above the bandgap of crystalline silicon, IEEE J. Quantum Electron. QE-22, 360–368 (1986). 157. Reitze, D. H., Zhang, T. R., Wood, Wm. M., and Downer, M. C., Two-photon spectroscopy of silicon using femtosecond pulses at above-gap frequencies, J. Opt. Soc. Am. B7, 84–89 (1990). 158. Downer, M. C., Reitze, D. H., and Focht, G., Ultrafast laser probe of interband absorption edges in 3D and 2D semiconductors, SPIE 1282, 121–131 (1990). 159. Lisitsa, M. P., Kulish, N. R., and Stolyarenko, A. V., Two-photon absoprtion spectrum of αSiC(6H), Sov. Phys. Semicond. 14(10), 1208 (1980). 160. Fröhlich, D., and Kenklies, R., Band-gap assignment in SnO2 by two-photon spectroscopy, Phys. Rev. Lett. 41(25), 1750 (1978). 161. Maker, P. D., and Terhune, R. W., Study of optical effects due to an induced polarization third order in the electric field strength, Phys. Rev. 137(3A), A801 (1965). 162. Shablaev, S. I., Danishevskii, A. M., Subashiev, V. K., and Babashkin, A. A., Investigation of the energy band structure of SrTiO3 by the two-photon spectroscopy method, Sov. Phys. Solid State 21(4), 662 (1979). 163. Lee, J. H., Scarparo, M. A. F., and Song, J. J., Two-photon absorption measurements of crystals relative to the Raman cross section, Proceedings of the VIIth International Conference on Raman Spectroscopy, Ottawa, Canada (1980), p. 684. 164. Shablev, S. I., and Subashiev, V. K., Band structure change in the transition from the cubic to the tetragonal phase in single-domain SrTiO3, determined from two-photon absorption spectra, Sov. Phys. JETP 64, 846–850 (1986). 165. Matsuoka, M., and Yajima, T., Two-photon absorption spectrum in thallous chloride, Phys. Lett. 23(1), 54 (1966). 166. Waff, H. S., and Park, K., Structure in the two-photon absorption spectrum of TiO2 (rutile), Phys. Lett. 32A(2), 109 (1970). 167. Penzkofer, A., and Falkenstein, W., Direct determination of the intensity of picosecond light pulses by two-photon absorption, Opt. Commun. 17(1) (1976). 168. Matsuoka, M., Angular dependence of two-photon absorption in thallous chloride, J. Phys. Soc. Jpn. 23(5), 1028 (1967). 169. Fröhlich, D., Staginnus, B., and Thurm, S., Symmetry assignments of two-photon transitions in TlCl, Phys. Status Solidi 40, 287 (1970). 170. Fröhlich, D., Treusch, J., and Kottler, W., Multiphonon processes in the two-photon absorption of TlCl and the temperature dependence of the band edge, Phys. Rev. Lett. 29(24), 1603 (1972). 171. Bakos, J. S., Foldes, I. B., Hevesi, I., Kovacs, J., Nanai L., and Szil, E., Two-photon absorption in V2O5 single crystals with q-switched ruby laser pulses, Appl. Phys. Lett. A37, 247–249 (1985). 172. Shablaev, S. I., and Pisarev, R. V., Nonlinear optical spectroscopy of electronic states in the yttrium iron garnet Y3Fe5O12, JETP Lett. 45, 626–631 (1987). 173. Brodin, M. S., and Goer, D. B., Two-photon absorption of ruby laser radiation by semiconductor crystals of ZnSe and ZnxCdl–xSe, Sov. Phys. Semicond. 5(2), 219 (1971). 174. Baltrameyunas, R., Vaitkus, Yu., Gavryushin, V. I., and Dmitrenko, K. A., Two-photon absorption spectra of mixed Zn0.1Cd0.9S single crystals, Sov. Phys. Semicond. 11, 60–61 (1977). 175. Staginus, G., Fröhlich, D., and Caps, T., Automatic 2-photon spectrometer, Rev. Sci. Instrum. 39(8), 1129, (1968). 176. Mollwo, E., and Pensl, G., Two-photon absorption in ZnO-crystals, Z. Phyzik 228, 193 (1969). 177. Dinges, R., Fröhlich, D., Staginnus, G., and Staude, W., Two-photon magnetoabsorption in ZnO, Phys. Rev. Lett. 25(14), 922 (1970).

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Section 1: Crystalline Materials

199

178. Kaule, W., Polarization dependence of the two quantum absorption spectrum of intrinsic excitons in ZnO, Solid State Commun. 9, 17 (1971). 179. Baltrameyunas, R., Vishchakas, Yu., Gavryushin, V., Kubertavichyus, V., and Tichina, I., Investigation of the spectral dependences of two-photon absorption in tetragonal ZnP2 single crystals, Sov. Phys. Solid State 25, 2131–2133 (1984). 180. Mozol, P. E., Patskun, I. I., Salkov, E. A., and Skubenko, N. A., Optical absorption induced by pulsed laser radiation in tetragonal ZnP2 crystals, Sov. Phys. Semicond. 20, 313–315 (1986). 181. Park, K., and Waff, H. S., Two-photon absorption spectrum of ZnS, Phys. Lett. 28A(4), 305 (1968). 182. Baltrameyunas, R., Gavryushin, V., and Vaitkus, Y., Frequency dependence of the coefficient of two-photon absorption in ZnSe, Sov. Phys. Solid State 17(10), 2020 (1976). 183. Baltrameyunas, R., Vaitkus, Y., and Gavryushin, V., Influence of impurities on the two-photon absorption spectrum of ZnSe single crystals, Sov. Phys. Solid State 18(10), 1723 (1976). 184. Borshch, V. V., Mozol’, P. E., Sal’kov, E. A., Patskun, I. I., and Fekeshgazi, I. V., Nonlinear absorption spectra of copper-doped ZnSe single crystals, Sov. Phys. Semicond. 16, 684–687 (1982). 185. Borshch, V. V., Mozol, P. E., Patskun, I. I., and Fekeshgazi, I. V., Influence of copper impurities on two-photon absorption of light in ZnSe, Sov. Phys. Semicond. 16, 213–214 (1982). 186. Yablonskii, G. N., Photoconductivity of laser-excited zinc telluride, Sov. Phys. Semicond. 8, 881–882 (1975). 187. Catalano, I. M., and Cingolani, A., Absolute two-photon absorption line shape in ZnTe, Phys. Rev. B 19(2), 1049 (1979). 188. Balrameyunas, R., Vaitkus, J., and Gavryushin, V., Light absorption by nonequilibrium, twophoton generated, free and localized carriers in ZnTe single crystals, Sov. Phys. JETP 60, 43–48 (1984). 189. Brodin, M. S., Shevel’s, S. G., Kodzhespirov, F. F., and Mozharovskii, L. A., Two-photon absorption of ruby laser radiation in mixed ZnxCd l–xS crystals, Sov. Phys. Semicond. 5(12), 2047 (1972). 174. Mansour, N., Mansour, K., Soileau, M. J., and Van Stryland, E. W., Observation of two-photon absorption prior to laser induced damage in dielectric ZrO2, NIST Special Publication, No. 756, Proceedings of the Boulder Damage Symposium, p. 501, Boulder, CO (1987). 191. van der Ziel, J. P., and Gossard, A. C., Two-photon absorption spectrum of AlAs-GaAs monolayer crystals, Phys. Rev. B 17(2), 765 (1978).

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Handbook of Optical Materials

1.9.3 Second Harmonic Generation Coefficients Crystal System—Cubic Cubic material

Symmetry class

dim (pm/V)

Wavelength λ (µm)

NaBrO3

23

d14 = 0.19

0.6943

NaClO3

23

d14 = 0.46

0.6943

AlSb

–43m

d14 = 49 ± 36

1.058

Bi4Ge3O12

–43m

d14 = 1.28

1.064

CdTe

–43m

d14 = 167.6 ± 63 d14 = 59.0 ± 24

10.6 28.0

CuBr

–43m

d14 = 8.04 ± 30% d14 = –4.38 ± 20% d14 = –6.37 ± 20% d14 = –6.53 ± 20%

10.6 1.318 1.064 0.946

CuCl

–43m

d14 = 6.7 ± 30% d14 = –4.0 ± 20% d14 = –3.97 ± 20% d14 = –3.47 ± 20%

10.6 1.318 1.064 0.946

CuI

–43m

d14 = 8.04 ± 30% d14 = –5.47 ± 20% d14 = –6.08 ± 20% d14 = –6.04 ± 20%

10.6 1.318 1.064 0.946

GaAs

–43m

d14 = 134.1 ± 41.9 d14 = 209.5 ± 13.3 d14 = 256.5

10.6 1.058 0.694

GaP

–43m

d14 = 71.8 ± 12.3 d36 = 59.5 ± 6.0 d14 = +70.6

1.058 1.318 3.39

GaSb

–43m

d14 = +628 ± 6.3

10.6

InAs

–43m

d14 = 364 ± 47 d14 = 249 ± 62

1.058 10.6

InP

–43m

d14 = 143

InSb

–43m

d14 = 520 ± 47 d14 = 16345 ± 503 d14 = 560 ± 230

N4(CH2)6

–43m

d14 = 4.1

β-ZnS

–43m

d14 = 30.6 ± 8.4 d36 = 20.7 ± 1.3

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1.058 1.058 10.6 28 1.06 10.6 1.058

Crystal System—Cubic—continued Cubic material

Symmetry class

dim (pm/V)

Wavelength λ (µm)

ZnSe

–43m

d14 = 78.4 ± 29.3 d36 = 26.6 ± 1.7

10.6

ZnTe

–43m

d14 = 92.2 ± 33.5 d14 = 83.2 ± 8.4 d36 = 89.6 ± 5.7

10.6 1.058 1.058

Crystal System—Hexagonal Hexagonal material

Symmetry class

dim (pm/V)

LiIO3

6

d31 = ±10.17 ± 0.32 d33 = –5.15 ± 0.32 d31 = –4.96 ± 0.32 d33 = –5.54 ± 0.61 d31 = –6.82

0.5145 1.064 1.064 1.318 1.318

LiKSO4

6

d31 = 0.38 d33 = 0.71

0.6943 0.6943

GaS

6m2

d16 =135

0.6943

GaSe

6m2

d22 = 75.4 ± 10.8 d16 = 972

InSe

6m2

d16 = 281

0.6943

AgI

6mm

d31 = +8.2 ± 20% d33 = – 16.8 ± 22%

1.318 1.318

AlN

6mm

d31 = <0.30 d33 = 7.42 ± 35%

1.064 1.064

BeO

6mm

d33 = –0.20 ± 0.01 d31 = –0.15 ± 0.01

1.064 1.064

CdS

6 mm

d33 = 25.8 ± 1.6 d31 = –13.1 ± 0.8 d15 = 14.4 ± 0.8 d33 = +44.0 ± 12.6 d31 = –26.4 ± 6.31 d15 = 28.9 ± 7.1

1.058 1.058 1.058 1.064 1.064 1.064

CdSe

6 mm

d33 = 66.9 ± 4.2 d31 = –26.8 ± 2.7 d33 = 54.5 ± 12.6

1.064 1.064 1.064

© 2003 by CRC Press LLC

Wavelength λ (µm)

10.6 0.6943

Crystal System—Hexagonal System—continued Hexagonal material

Symmetry class

dim (pm/V)

Wavelength λ (µm)

LiClO4•3H2O

6mm

SiC

6mm

d31 = +0.22 ± 20% d33 = +0.25 ± 20% d15 = +0.25 ± 20% d31 = +8.6 ± 0.9 d33 = -14.4 ± 1.3 d15 = +8.0 ± 0.9

1.064 1.064 1.064 1.064 1.064 1.064

Zn3AgInS5

6mm

d31 = +7.2 ± 20% d33 = ±15.9 ± 20%

1.064 1.064

Zn5AgInS7

6mm

d31 = +9.22 ± 20% d33 = +20.95 ± 20%

1.064 1.064

ZnO

6mm

d33 = –5.86 ± 0.16 d31= 1.76 ± 0.16 d15 = 1.93 ± 0.16

1.058 1.058 1.058

α-ZnS

6mm

d33 = 11.37 ± 0.07 d33 = 37.3 ± 12.6 d31 = –18.9 ± 6.3 d15 = 21.37 ± 8.4 d15 = 6.7 ± 1.0 d31 = –7.6 ± 1.5 d33 = +13.8 ± 1.7

1.058 10.6 10.6 10.6 1.064 1.064 1.064

Crystal System—Tetragonal Tetragonal material

Symmetry class

dim (pm/V)

Wavelength λ (µm)

BaTiO3

4mm

d33 = 6.8 ± 1.0 d31 = 15.7 ± 1.8 d15 = 17.0 ± 1.8

1.064 1.064 1.064

Ba6Ti2Nb8O3

4mm

d31 = 9.7 ± 1.8 d33 = 13.2 ± 1.8

1.064 1.064

K3Li2Nb5O15

4mm

d33 = 11.2 ± 1.6 d31 = 6.18 ± 1.28 d15 = 5.45 ± 0.54

1.064 1.064 1.064

K0.8Na0.2Ba2Nb5O15

4mm

d31 = 13.6 ± 1.6

1.064

PbTiO3

4mm

d33 = 7.5 ± 1.2 d31 = 37.6 ± 5.6 d15 = 33.3 ± 5

1.064 1.064 1.064

© 2003 by CRC Press LLC

Crystal System—Tetragonal System—continued Tetragonal material

Symmetry class

dim (pm/V)

Wavelength λ (µm)

SrBaNb5O15

4mm

d33 = 11.3 ± 3.3 d31 = 4.31 ± 1.32 d15 = 5.98 ± 2

1.064 1.064 1.064

AgGaS2

-42m

d36 = 18 ± 2.7 d36 = 23.36 ± 3.52

10.6 1.064

AgGaSe2

-42m

d36 = 37.4 ± 6.0 d36 = 67.7 ± 13

10.6 2.12

AgInSe2

-42m

d36 = 55.9 ± 10%

10.6

CdGeAs2

-42m

d36 = 351 ± 105

10.6

BeSO4•4H2O

-42m

d36 = 0.30 d36 = 0.29 ± 0.03

CdGeP2

-42m

d36 = 162 ± 30%

CsD2AsO4

-42m

d36 = 0.40 ± 0.05

1.064

CsH2AsO4

-42m

d36 = 0.22 d36 = 0.40 ± 0.05

0.6943 1.064

CuGaSe2

-42m

d36 = 44.2 ± 10%

10.6

CuGaS2

-42m

d36 = 14.5 ± 15%

10.6

CuInS2

-42m

d36 = 10.6 ± 15%

10.6

KD2PO4 (KD*P)

-42m

d36 = 0.38 ± 0.016 d36 = 0.34 ± 0.06 d14 = 0.37

1.058 0.694 1.058

KH2PO4 (KDP)

-42m

d36 = 0.44 d36 = 0.47 ± 0.07

1.064 0.694

KD2AsO4 (KD*A)

-42m

d36 = 0.39

1.064

KH2AsO4 (KDA)

-42m

d36 = 0.43 ± 0.025 d36 = 0.39 ± 0.4

1.06 0.694

ND4H2PO4 (AD*P)

-42m

d36 = 0.495 ± 0.07

0.6943

NH4H2PO4 (ADP)

-42m

d36 = 0.762 d36 = 0.85 d36 = 0.85

1.064 0.6943 0.694

(NH2)2CO (urea)

-42m

d36 = 1.35

1.06

RbH2AsO4 (RDA)

-42m

d36 = 0.39 ± 0.04

0.6943

© 2003 by CRC Press LLC

0.6328 0.5321 10.6

Crystal System—Tetragonal System—continued Tetragonal material

Symmetry class

dim (pm/V)

Wavelength λ (µm)

RbH2PO4 (RDP)

-42m

d36 = 0.414 ± 0.045 d36 = 0.38 ± 0.04

ZnGeP2

-42m

d36 = 111.2 ± 30%

TeO2

422

d14 = 0.34 ± 0.05 d14 = 0.38 ± 0.03 d14 = 4.13 ± 1.03

1.318 1.064 0.659

CdGa2S4

-4

d36 = 25.6 ± 3.8

1.064

HgGa2S4

-4

d36 = 25.6 ±7.7

1.064

InPS4

-4

d36 = 20.1 ± 2.1 d31 = 26.3 ± 2.58

1.064 1.064

0.6943 1.064 10.6

Crystal System—Trigonal Trigonal material

Symmetry class

dim (pm/V)

Wavelength λ (µm)

PbGe3O11

3

d11 = 0.96 ± 0.16 d22 = –2.1 ± 0.3 d31 =+0.51 ± 0.07 d33 = –0.79 ± 0.12

1.064 1.064 1.064 1.064

AlPO4

32

d11 = 0.35 ± 0.03 d14 <0.008

1.058 1.058

HgS

32

d11 = 50.3 ± 17 d11 = 47.2 ± 4

Nd0.2Y0.8Al3(BO3)4

32

d11 = d12 = 1.36 ± 0.16 d14 = d12 <0.01

1.32 1.32

PbS2O6•4H2O

32

d11 = 0.096 d11 = 0.15

1.0645 0.694

RbS2O6

32

d11 = 0.081 ± 0.03

0.6943

Se

32

d11 = 79.6 ± 42

SrS2O6•4H2O

32

d11 = 0.06 ± 0.02

Te

32

d11 = 650 ± 30

SiO2 (quartz)

32

d11 = 0.335

1.064

(C6H5CO)2 (benzil)

32

d11 = 3.6 ± 0.5

1.064

© 2003 by CRC Press LLC

10.6 1.32

10.6 0.6943 10.6

Crystal System—Trigonal—continued Trigonal material

Symmetry class

dim (pm/V)

Wavelength λ (µm)

Ag3AsS3 (proustite)

3m

d31 = 16.8 ± 1 d22 = 26.8 ± 4 d22 = 20.0 d31 = 12.0

10.6 10.6 1.152 1.152

Ag3SbS3 (pyrargerite)

3m

d31 = 12.6 ± 4 d22 = 13.4 ± 4

10.6 10.6

β-BaB2O4 (BBO)

3m

d22 = 13.4 ± 4 d31 = 12.6 ± 4

1.06 1.06

(CN3H6)As(SO4)2•6H2O (GASH)

3m

d22 = −1.05 ± 0.017 d31 = +0.008 ± 0.017 d33 = +0.020 ± 0.003

1.064 1.064 1.064

LiNbO3

3m

d33 = −34 ± 8.6 d31 = –4.88 ± 0.7 d22 = +2.58 ± 0.25 d31 = –4.35 ± 0.4 d22 = +2.1 ± 0.8 d33 = −31.8 d31 = −29.1

1.058 1.058 1.058 1.152 1.152 1.318 1.318

LiTaO3

3m

d33 = –16.4 ± 2 d31 = –1.07 ± 0.2 d22 = +1.7 ± 0.2

1.058 1.058 1.058

d15 = 0.24 ± 0.04 d31 = 0.14 ± 0.03 d22 = 0.07 ± 0.01 d33 = 0.50 ± 0.06

1.064 1.064 1.064 1.064

(Na,Ca)(Mg,Fe)(BO3)3Al6Si6(OH,O,F) (tourmaline)

3m

TlIO3

3m

d15 = 3.49 ± 20% d31 = 3.36 ± 20% d23 = 1.11 ± 20% d 24 = 3.85 ± 20% d32 = 3.98 ± 20% d33 = 6.85 ± 20%

1.064 1.064 1.064 1.064 1.064 1.064

SbI3•3S8

3m

d22 = 5.2 d33 = 7.23 d31 = 4.8

1.064 1.064 1.064

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206

Handbook of Optical Materials Crystal System—Orthorhombic

Orthorhombic material

Symmetry class

dim (pm/V)

Wavelength λ (µm)

Ba(COOH)2

222

d14 = 0.11 ± 11% d25 = 0.11 ± 14% d36 = 0.13 ± 11%

1.064 1.064 1.064

α−HIO3

222

d36 = 5.15 ± 0.16

1.064

NO2•CH3NOC5H4 (POM)

222

d36 = 6.4 ± 1.0

1.064

Sr(COOH)2

222

d34 = 0.51

1.064

BaMgF4

mm2

d31 = 0.023 ± 20% d32 = ±0.035 ± 12% d33 = 0.0094 ± 14% d24 = 0.025 ± 17%

1.064 1.064 1.064 1.064

Ba2NaNb5O15

mm2

d33 = –17.6 ± 1.28 d32 = –12.8 ± 0.64 d31 = –12.8 ± 1.28

1.064 1.064 1.064

BaZnF4

mm2

d32 = 0.08 ± 20% d15 = 0.011 ± 20% d33 = 0.035 ± 20%

1.06 1.06 1.06

C6H4(NO2)2 [MDB]

mm2

d33 = 0.74 d32 = 2.7 d31 = 1.78

1.064 1.064 1.064

Gd2(MoO4)3

mm2

d33 = –0.044 ± 0.008 d32 = +2.42 ± 0.36 d31 = –2.49 ± 0.37

1.064 1.064 1.064

KB5O8•4H2O

mm2

d31 = 0.046 d32 = 0.003

0.4342 0.4342

mm2

d31 = ±0.57 ± 25% d32 = ±0.16 ± 25% d33 = ±2.79 ± 25% d15 = 0.49 ± 25% d24 = 0.25 ± 25%

1.064 1.064 1.064 1.064 1.064

K2La(NO3)4•2H2O

mm2

d31 = d15 = –1.13 ± 0.15 d32 = d24 = –1.10 ± 0.1 d33 = 0.13 ± 0.1

1.064 1.064 1.064

KNbB2O6

mm2

d24 = 6.10 d32 = 3.00 d33 = 1.44

1.064 1.064 1.064

KIO2F2

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Section 1: Crystalline Materials Crystal System—Orthorhombic—continued Orthorhombic material

Symmetry class

dim (pm/V)

KNbO3

mm2

d33 = –19.58 ± 1.03 d32 = +11.34 ± 1.03 d31 = –12.88 ± 1.03

1.064 1.064 1.064

KTiOPO4 [KTP]

mm2

d33 = 13.7 d32 = ±5.0 d31 = ± 6.5 d24 = 7.6 d15 = 6.1

1.06 1.06 1.06 1.06 1.06

LiB3O5

mm2

1.064

LiGaO2

mm2

d15 = +0.85 d24 = –0.67 d33 = +0.04 d31 = d15 = –1.13 ± 0.15 d33 = –0.59 ± 0.06

LiH2PO3

mm2

d31 = 0.03 d32 = 0.16 d33 = 0.43 d15 = 0.035 d24 = 0.17

1.064 1.064 1.064 1.064 1.064

LiInO2

mm2

d31 = 9.9 ± 15% d32 = 8.58 ± 15% d33 = 15.8 ± 15%

1.064 1.064 1.064

Na(COOH)

mm2

d15 = –0.22 ± 0.11 d32 = d15 ≈ 0.22 d33 = 0.33 ± 0.16

1.064 1.064 1.064

NaNO2

mm2

d31 = 0.074 ± 0.008 d32 =1.89 ± 0.25 d33 = 0.094 ± 0.008 d15 = 0.04 ± 0.008 d24 = 1.80 ± 0.25 d31 = d15 = 0.18 d32 = d24 = 0.76

1.064 1.064 1.064 1.064 1.064 1.153 1.153

NO2•C6H4NH2 [mNA]

mm2

d33 = 13.12 ± 1.28 d32 = 1.02 ± 0.22 d31 = 12.48 ± 1.28

1.064 1.064 1.064

PbNb2O11

mm2

d31 = +6.5 ± 0.97 d32 = −5.87 ± 0.88 d33 = −8.88 ±1.32 d15 = +5.89 ± 0.88 d24 = −5.42 ± 0.39

1.064 1.064 1.064 1.064 1.064

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Wavelength λ (µm)

1.064 1.064

207

208

Handbook of Optical Materials Crystal System—Orthorhombic—continued

Orthorhombic material

Symmetry class

dim (pm/V)

Wavelength λ (µm)

RbNbB2O6

mm2

d24 = 2.40 d32 = 2.30 d33 = 0.94

1.064

Sr(COOH)2

222

d34 = 0.51

1.064

SbNbO4

mm2

d32 = 4.72 ± 0.82

1.058

SbTaO4

mm2

d32 = 4.1 ± 0.82

1.058

Tb2(MoO4)3

mm2

d31 = –2.99 ± 0.35 d32 = +2.22 ± 0.33 d33 = −0.11 ± 0.03 d15 = –2.52 ± 0.38 d24 = +2.55 ± 0.35

1.064 1.064 1.064 1.064 1.064

Tb2(MoO4)3

Crystal System—Monoclinic Monoclinic material

Symmetry class

dim (pm/V)

Wavelength λ (µm)

GdCa4O(BO3)4

Cm

d11 = 0.04 d12 = 0.128 d13 = −0.17 d31 = 0.148 d32 = 0.64 d33 = 0.58

1.064 1.064 1.064 1.064 1.064 1.064

GdCa4O(BO3)4

Cm

d11 = −0.104 d12 = 0.015 d13 = −0.253 d31 = 0.12 d32 = 1.36 d33 = −0.93

1.064 1.064 1.064 1.064 1.064 1.064

CH3-NH2−NO2-C6H4 [MNA]

m

d11 = 160 ± 40 d12 = 24 ± 6

1.064 1.064

4-(CH3)2N-C6H4 [DAST]

m

d11 = 600 ± 200 d22 = 10 ± 30 d12 = 30 ± 10

1.064 1.064 1.064

C10H12N3O6 [MAP]

2

d23 = 10.67 ± 1.3 d22 = 11.7 ± 1.3 d21 = 2.35 ± 0.5 d25 = –0.35 ± 0.3

1.064 1.064 1.064 1.064

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Section 1: Crystalline Materials

209

Crystal System—Monoclinic—continued Monoclinic material

Symmetry class

dim (pm/V)

Wavelength λ (µm)

C14H17NO2 [DMC]

2

d21 = 4.1 d22 = 1.6 d23 = 0.53

1.06 1.06 1.06

N’-(4-nirophenyl)-(s)proplinol (NPP)

2

d21 = ~84 d22 = 29

1.06 1.06

Li2SO4•H2O

2

d22 = 0.4 ± 0.06 d23 = 0.29 ± 0.04 d34 = 0.25 ± 0.04

1.064 1.064 1.064

(NH2CH2COOH)3H2SO4 [TGS]

2

d23 = 0.32

0.694

PbHPO4

2

d31 = 0.11 d11 = 0.4 d33 = 0.23

1.064 1.064 1.064

The above data are from tables of S. Singh, Nonlinear optical materials, Handbook of Laser Science and Technology, Vol. III: Optical Materials, Part 1 (CRC Press, Boca Raton, FL, 1986), p. 54 ff and S. Singh, Nonlinear optical materials, Handbook of Laser Science and Technology, Suppl. 2: Optical Materials (CRC Press, Boca Raton, FL 1995), p. 237 ff. These references list the original sources of the data; they also contain additional nonlinear coefficients for other organic materials and powders.

1.9.4 Third-Order Nonlinear Optical Coefficients Coefficient

Nonlinear Crystal

Cjn × 10

optical process (3)

20

2

m V

Wavelength –2

(µm)

Al0.2Ga0.8As

(−2ω2− ω1; ω1, ω1, −ω2)

χ

Al2O3

(−2ω1+ ω2; ω1, ω1, −ω2) (−ω; ω, ω,−ω)

C11 = 0.0159 ± 0.002 C11 ≤ 0.28

0.5250 0.6943

BaF2

(−2ω1+ ω2; ω1, ω1, −ω2)

C11 = 0.0387 ± 0.00042 C18 = 0.0159 ± 0.00014

0.5750 0.5750

Bi1−xSbx

(−2ω2− ω1; ω1, ω1, −ω2)

χ

C (diamond)

(−3ω; ω, ω, −ω) (−2ω1+ ω2; ω1, ω1, −ω2)

C11 + 3C18 = 0.1456 ± 10% C11 + 3C18 = 0.163 ± 0.046 C11 + 3C18 = 0.0738 ± 0.0019 C18 = 0.01218 ± 0.0009 C11 = 0.02147 C18 = 0.00803 ± 0.0003

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(3)

= 116.7

0.84

8

= 4.18 x 10

10.6 1.06 1.06 0.407 0.407 0.545 0.545

210

Handbook of Optical Materials Third-Order Nonlinear Optical Coefficients—continued Coefficient

Nonlinear Crystal

optical process

Cjn × 10

20

2

m V

Wavelength -2

(µm)

CaCO3

(−2ω1+ ω2; ω1, ω1, −ω2)

C11 = 0.0084 ± 0.0037 C11 = 0.0078 ± 0.00033 C33 = 0.0047 ± 0.0009

0.530 0.556 0.530

CaF2

(−2ω1+ ω2; ω1, ω1, −ω2)

C11 = 0.002 ± 0.0006 C18 = 0.00089 ± 0.00023 C11 = 0.005 C18 = 0.0025

0.575 0.575 0.6943 0.6943

CdF2

(−2ω1+ ω2; ω1, ω1, −ω2)

C11 = 0.0068 ± 0.0010 C18 = 0.0022 ± 0.0003

0.5750 0.5750

CdGeAs2

(−3ω; ω, ω, ω)

C11 = 182 ± 84 C16 = 175 C18 = −35

CdS

(−2ω1+ ω2; ω1, ω1, −ω2)

C11 = 2.24

GaAs

(−2ω1+ ω2; ω1, ω1, −ω2)

C11 = 16.80 ± 10% C18 = 4.2 ± 0.168

10.6 10.6

Ge

(−2ω1+ ω2; ω1, ω1, −ω2)

C11 = 140 ± 50% C18 = 85.4 ± 2.8 C11 = 42.8 ± 80% C18 =12 ± 3.6

10.6 10.6 10.6 10.6

(−3ω; ω, ω, −ω)

10.6 10.6 10.6 0.6943

HgCdTe

(−2ω1+ ω2; ω1, ω1, −ω2)

C11 = 1.75

10.6

InAs

(−2ω1+ ω2; ω1, ω1, −ω2)

C11 = 63

10.6

KBr

(−2ω1+ ω2; ω1, ω1, −ω2)

C11 = 0.042 C18 = 0.0154 C11 = 0.0392

0.6943 0.6943 1.06

(−3ω; ω, ω, −ω)

C11 = 0.0266 C18 = 0.0081 C11 = 0.0168

0.6943 0.6943 1.06

KH2PO4

(−3ω; ω, ω, −ω)

C11 – C18 = 0.04

1.06

KI

(−2ω1+ ω2; ω1, ω1, −ω2)

C11 = 0.0035 C18 = 0.00216

0.6943 0.6943

LiF

(−2ω1+ ω2; ω1, ω1, −ω2)

C11 = 0.0048 ± 0.0008 C11 = 0.0028 C18 = 0.00126 C11 = 0.0014 ± 0.00002 C11 = 0.0042

0.5250 0.6943 0.6943 1.89 1.06

(−3ω; ω, ω, −ω) KCl

(−2ω1+ ω2; ω1, ω1, −ω2)

(−3ω; ω, ω, −ω)

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Section 1: Crystalline Materials

211

Third-Order Nonlinear Optical Coefficients—continued Coefficient

Nonlinear Crystal

optical process

Cjn × 10

20

Wavelength

2

m V

-2

(µm)

LiIO3

(−3ω; ω, ω, −ω)

C12 = 0.2285 C35 = 6.66 ± 1

1.06 1.06

MgO

(−2ω1+ ω2; ω1, ω1, −ω2)

C11 = 0.014 C18 = 0.0077 C11 =0.0336

0.6943 0.6943 1.06

C11 = 0.0238 C18 = 0.0101 C11 =0.0168 C18/C11 = 0.4133

0.6943 0.6943 1.06 1.06

(−3ω; ω, ω, −ω) NaCl

(−2ω1+ ω2; ω1, ω1, −ω2) (−3ω; ω, ω, −ω)

NaF

(−3ω; ω, ω, −ω)

C11 = 0.0035

1.06

NH4H2PO4

(−3ω; ω, ω, −ω)

C11 = 0.0104 C18 = 0.0098

1.06 1.06

Si

(−2ω1+ ω2; ω1, ω1, −ω2)

C11 = 8.4 ± 10% C18 = 4.03 ± 0.252 C11 = 60.7 ± 9.7

(−3ω; ω, ω, −ω)

10.6 10.6 1.06

α−SiO2

(−2ω1+ ω2; ω1, ω1, −ω2)

C11 = 0.014 C11 = 0.0059 ± 50%

0.6943 1.89

SrF2

(−2ω1+ ω2; ω1, ω1, −ω2)

C11 = 0.00205 ± 0.0005 C18 = 0.0014 ± 0.00019

0.575 0.575

SrTiO3

(−2ω1+ ω2; ω1, ω1, −ω2)

C11 = 5.6 C18 = 2.63

0.6943 0.6943

Tb3Al5O12

(−2ω1+ ω2; ω1, ω1, −ω2)

C11 = (3.1 ± 0.62) x 10 6 C18 = (0.95 ± 0. 2) x 10

4.0 4.0

Y3Al5O12

(−2ω1+ ω2; ω1, ω1, −ω2)

C11 = 0.03052 ± 0.0018 C18 = 0.0084

0.5250 0.694

6

The above data are from tables of S. Singh, Nonlinear optical materials, Handbook of Laser Science and Technology, Vol. III: Optical Materials, Part 1 (CRC Press, Boca Raton, FL 1986), p. 54 ff and S. Singh, Nonlinear optical materials, Handbook of Laser Science and Technology, Suppl. 2: Optical Materials, (CRC Press, Boca Raton, FL, 1995), p. 237 ff. These references list the original sources of the data; they also contain additional nonlinear coefficients for other organic materials and powders.

© 2003 by CRC Press LLC

212

Handbook of Optical Materials

1.9.5 Optical Phase Conjugation Materials* Photorefractive and semiconducting media are widely used for optical phase conjugation. Photorefractive materials are electrooptic photoconductors in which a refractive index grating can be written by charge generation, transport, and trapping. The most general interaction used to produce phase conjugation in photorefractive materials is degenerate four−wave mixing (DFWM). 1

Photorefractive materials may be classified into several major structural categories.

Ferroelectric oxides, including LiNbO3, BaTiO3, KNbO3, and Sr1–xBaxNb2O6 (SBN). These materials have large electrooptic coefficients and are thus characterized by large values of diffraction efficiency, gain coefficient, and phase conjugate reflectivity. They are not effective photoconductors;, thus the response times in these materials with typical CW beams are slow. Cubic oxides or sillenites, including Bi12SiO2 0 (BSO), Bi12 GeO 20 (BGO) and Bi12TiO 20 (BTO). These materials have relatively small electrooptic coefficients, but they are good photoconductors, thus their response times are fast. In order to improve the phase conjugate reflectivity of the sillenites, applied DC or AC electric fields are generally used. Bulk compound semiconductors, including GaAs, InP, and CdTe. These materials have small electrooptic coefficients but they are excellent photoconductors, with response times approaching the fundamental limit for bulk photorefractive materials. As with the sillenites, both DC and AC electric fields have been used to enhance the gain and phase conjugate reflectivity of semiconductor conjugators. Other photorefractive materials include multiple quantum wells in the GaAs/AlGaAs or CdZnTe/ZnTe systems. These materials require an applied AC electric field; the periodic space charge field is due to periodic screening of the applied field. Photorefractive multiple quantum wells are faster than bulk semiconductors, but are relatively inefficient, because of the small thickness (typically 1 mm) of the active layers. Organic crystals. Organic crystals are in principle easier to grow than inorganics, but they are also more difficult to handle. Only limited work on these materials has been performed. Polymer films. These materials are simple and inexpensive to fabricate. In addition, there is great flexibility in modifying the structure to separately optimize the electro−optic properties and the charge transport properties. 1

Fisher, R. A., Phase conjugation materials, Handbook of Laser Science and Technology, vol. V, Optical Materials, Part 3, (CRC Press, Boca Raton, FL 1987), p. 261.

* This section was adapted from Pepper, D. M., Minden, M. L., Bruesselbach, H. W., and Klein, M. B., Nonlinear optical phase conjugation materials, Handbook of Laser Science and Technology, Suppl. 2: Optical Materials (CRC Press, Boca Raton, FL, 1995), p. 467.

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Section 1: Crystalline Materials

213

Semiconducting media possess a wide range of nonlinearities and materials are available at wavelengths from the visible spectral region to 10.6 µm and beyond. The variety of nonlinearities in semiconductors results from the presence of free carrier states, as well as the bound carrier states which are present in all optical materials. Large concentrations of free carriers can be created through doping or through optical excitation. Semiconductors are particularly useful materials in the infrared spectral region because in most cases the nonlinear susceptibility increases rapidly as the operating wavelength increases. In addition, the susceptibility is larger in materials with smaller values of band gap energy. Nonlinear processes in semiconductors can be broadly divided into two categories: resonant and nonresonant. In general, nonresonant nonlinearities involve virtual transitions and are quite fast. By contrast, resonant nonlinearities involve real transitions (usually involving free carrier generation), and are thus slower. Nonlinear processes used for phase conjugation via DFWM in semiconductors include anharmonic response of bound electrons, nonlinear motion of free carriers, plasma generation by valence−to−conduction band transitions, interband population modulation through optically induced carrier temperature fluctuations, saturation of exciton absorption in multiple quantum wells, and saturation of intersubband transitions in multiple quantum wells.

General References on Nonlinear Optical Phase Conjugation Fisher, R. A., Ed., Optical Phase Conjugation, (Academic Press, New York, 1983). Pepper, D. M., Nonlinear optical phase conjugation, The Laser Handbook, Vol. 4, M. Bass and M. L. Stitch, Eds. (North−Holland Press, Amsterdam, 1985). Zel’dovich, B. Ya., Pilipetsky, N. F., and Shkunov, V. V., Principles of Phase Conjugation, Springer Ser. Opt. Sci. 42, T. Tamir, Ed. (Spinger−Verlag, Berlin, 1985). Pepper, D. M., Guest Ed., Special issue on nonlinear optical phase conjugation, IEEE J. Quantum Electron. 25, (1989). Günter, P., and Huignard, J.−P., Photorefractive materials and their applications I and II, Topics in Applied Physics, Vol. 61 (Springer-Verlag, Berlin, 1988).

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214

Semiconductor Phase Conjugate Materials

Material

(µm )

Pump χ(3)

Nonlinearity

Temp.

width

intensity

mechanism

(K)

(ns)

(W/cm 2 )

Reflectivity

(esu)

4 × 107 1.2 × 108 1.2 × 107 10 6 10 7 7 × 106

2% 800% 0.14% 1%** 150% 100%

2 × 10–10 — 4 × 10–11 — 10 – 7 —

1 7 3 4 5,6 7 8,9 10 11 8,12,13

50 1.5 — 10 15 15

Ref.

Ge Ge Ge Si Si Si

10.6 10.6 3.8 1.06 1.06 1.06

AMBE NLPlasma AMBE Plasma Plasma Plasma

300 300 300 300 300 300

InAs InSb InSb InSb

10.6 5.3 5.3 10.6

3PA-Plasma Plasma Plasma 2PA-Plasma

300 5 80 300

~200 CW CW ~200

1.8 × 106 40 1 10 5

13% 1% 20% 30%

2.5 × 10–7 — 1.1 2 × 10–5

n-Hg0.768Cd0.232Te n-Hg0.78Cd0.22Te n-Hg0.78Cd0.22Te

10.6 10.6 10.6

CBNP Plasma Plasma

295 77 120

200 CW CW

10 7 1 12

9% 8% 2%

4 × 10–8 3 × 10–2 5 × 10–2

14 15 16

HgTe CdTe CdS ZnSe

10.6 1.06 0.53 0.69

Plasma* TSA-Plasma Plasma TSA-Plasma

300 300 300 300

∼200

5 × 105 10 7 2 × 107 5 × 107

— 200% — 200%

2 × 10–4

17 18 19 20

15 15

3 × 10–9 —

AMBE, anharmonic motion of bound electrons; Plasma, nonlinearity due to index change from free carriers; also known as band filling nonlinearity; NL Plasma, plasma nonlinearity induced by high-order nonlinear absorption; 2PA-Plasma, plasma nonlinearity induced by two-photon absorption; 3PA-Plasma, plasma nonlinearity induced by three-photon absorption; SIA, saturation of intersubband absorption; SEA, saturation of exciton absorption; CBNP, conduction band nonparabolicity; TSA-Plasma, plasma nonlinearity induced by two-step absorption via impurity states; *Fast (5 ps) interband population modulation; **Diffraction efficiency.

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Handbook of Optical Materials

Wavelength

Pulse

Section 1: Crystalline Materials

215

References: 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20.

Bergmann, E. E., Bigio, I. J., Feldman, B. J., and Fisher, R. A., Opt. Lett. 3, 82 (1978). Watkins, D. E., Phipps, Jr., C. R., and Thomas, S. J., Opt. Lett. 6, 26 (1981). DePatie, D., and Haueisen, D., Opt. Lett. 5, 252 (1980). Woerdman, J. P., Opt. Commun. 2, 212–14 (1970). Jain, R. K., and Klein, M. B., Appl. Phys. Lett. 35, 454 (1979). Jain, R. K., Klein, M. B., and Lind, R. C., Opt. Lett. 4, 328 (1979). Eichler, H. J., Chen, J., and Richter, K., Appl. Phys. B 42, 215 (1987). Basov, N. G., Kovalev, V. I., and Faizulov, F. S., Bull. Acad. Sci. U.S.S.R Phys. Ser. 51, 67 (1987). Basov, N. G., Kovalev, M. A., Musaev, M. A., and Faysullov, F. S. (Nova Science Publishers, Commack, NY, 1988). Miller, D. A. B., Harrison, R. G., Johnston, A. M., Seaton, C. T., and Smith, S. D., Opt. Commun. 32, 478 (1980). MacKenzie, H. A., Hagan, D. J., and Al−Attar, H. A., Opt. Commun. 51, 352 (1984). Erokhin, A. I., Kovalev, V. I., and Shmelev, A. K., Sov. J. Quantum Electron. 17, 742 (1987). An, A. A., and Kovalev, V. I., Sov. J. Quantum Electron. 17, 1075 (1987). Khan, M. A., Kruse, P. W., and Ready, J. F., Opt. Lett. 5, 261 (1980). Khan, M. A., Bennet, R. L. H., and Kruse, P. W., Opt. Lett. 6, 560 (1981). Jain, R. K., and Steel, D. G., Opt. Commun., 43, 72 (1982). Wolff, P. A., Yuen, S. Y., Harris, Jr., K. A., Cook, J. W., and Schetzina, J. F., Appl. Phys. Lett. 50, 1858 (1987). Kremenitskii, V., Odoulov, S. G., and Soskin, M. S., Phys. Status Solidi A 57, K71 (1980). Jain, R. K., and Lind, R. C., J. Opt. Soc. Am. 73, 647 (1983). Borshch, A., Brodin, M., Volkov, V., and Kukhtarev, N. V., Opt. Commun. 35, 287 (1980).

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216

Photorefractive Phase Conjugation Materials

Ferroelectric oxide BaTiO3

BaTiO3:Co

SBN:Ce SBN:Rh BSKNN:Ce KNbO3:Fe KNbO3:Fe Sillenite BSO BTO

© 2003 by CRC Press LLC

Wavelength (µm )

0.515 1.09 0.532 0.532 0.515 0.515 0.85 0.515 0.442 0.532 0.515 0.458 0.488 0.488

0.568 0.568 0.633 0.633 0.633

Gain coeff. (cm -1 )

—

Response time(s)

Intensity (W/cm 2 )

Interaction

Reflectivity 4

Ref.

Notes

— 14

— 500 10–8 3 × 10–11 10–3 — — 0.021 0.3 10–8 10 100 5 × 10–5 10 – 3

— 1 2 × 106 3 × 108 4 — — 1 0.5 10 6 1 1 1 300

DFWM Ring TWM — — SPBS Internal — Internal Internal TWM Internal — Ring

100 (10 %) 17% — 3 × 10–6 — 60% 70% — 30% 29% — 28% — 60%

1 2 3 4 5 6 7 8 9 10 11 12 13 14

f g h i

12 9 35 35

0.2 0.2 — — 10

0.1 0.1

DFWM TWM Mutual Ring TWM

270% — 40% 7% —

15 16 17 18 19

j k l m n

15 — — — 38 — — 60

0.1 0.1

b c d a e

Handbook of Optical Materials

Structural category and material

Bulk semiconductor InP:Fe

GaP CdTe:V GaAs:Cr GaAs ZnTe:V Organic crystal COANP

1.32 1.064 0.970 0.633 1.32 1.5 1.064 1.064 1.064 0.633

0.676

2.5 11 31 0.4 10 2.4 6 7.7 0.4

0.1%

10 –3 0.1 0.1

0.1 0.07 0.023

Ring Mutual Ring

10–3 2 × 10–3 0.040 — — 1.5 × 10–5

0.075 0.003 0.050 0.02 4.7

TWM TWM TWM DFWM Ring TWM

500% 3% —

20 21 18 22 23 24 25 26 27 28

10 3

3.2

—

—

29

11% 74% 0.3% 0.3% — —

o p q r s t u u v

Section 1: Crystalline Materials

a Reflectivity constant from 0.6–0.9 µm; b Experiment performed with 10-ns pulses; c Experiment performed with 30-ps pulses; d Samples operated at 120°C; e 45-degree cut sample; f Rhodium concentration = 0.07 wt %; g Ba1.5Sr0.5K 0.75Na 0.25Nb 5O 15 (BSKNN-1) and Ba 0.5Sr1.5K 0.50Na 0.50Nb 5O 15 (BSKNN-2); h Electrochemically reduced sample; i Reflection grating geometry; j DC electric field (E=10 kV/cm) with moving grating; beam ratio=10 4 ; k DC electric field (E=10 kV/cm) with moving grating; beam ratio=10 5 ; l AC square-wave electric field (E=20 kV/cm; f=50 Hz); m,n AC square-wave electric field (E=10 kV/cm; f=60 Hz); beam ratio=10 5 ; o AC square-wave electric field (E=10 kV/cm); p DC electric field (E=13 kV/cm); temperature/intensity resonance; q DC electric field (E=10 kV/cm); beam ratio=106; r band edge resonance and temperature/intensity resonance; s AC square-wave electric field (E=23 kV/cm; f=230 kHz); t beam ratio=10 4 ; u DC electric field (E=5 kV/cm) with moving grating; beam ratio=10 4 ; v DC electric field (E=12 kV/cm).

217

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Handbook of Optical Materials

References: 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29.

Feinberg, J., and Hellwarth, R. W., Opt. Lett. 5, 519 (1980). Cronin−Golomb, M., Lau, K. Y., and Yariv, A., Appl. Phys Lett. 47, 567 (1985). Barry, N., and Damzen, M. J., J. Opt. Soc. B 9, 1488 (1992). Smirl, A. L., Valley, G. C., Mullen, R. A., Bohnert, K., Mire, C. D., and Boggess, T. F., Opt. Lett. 12, 501 (1987). Rytz, D., Klein, M. B., Mullen, R. A., Schwartz, R. N.,Valley, G. C., and Wechsler, B. A., Appl. Phys. Lett. 52, 1759 (1988). Mullen, R. A., Vickers, D. J., West, L., and Pepper, D. M., J. Opt. Soc. Am. B 9, 1726 (1992). Rytz, D., Stephens, R. R., Wechsler, B. A., Keirstad, M. S., and Baer, T. M., Opt. Lett. 15, 1279 (1990). Garrett, M. H., Chang, J. Y., Jenssen, H. P., and Warde, C., Opt. Lett. 17, 103 (1992). Salamo, G., Miller, M. J., Clark III, W. W., Wood, G. L., and Sharp, E. J., Opt. Commun. 59, 417 (1986). Monson, B., Salamo, G. J., Mott, A. G., Miller, III, M. J., Sharp, E. J., Clark, W. W., Wood, G. L., and Neurgaonkar, R. R., Opt. Lett. 15, 12 (1990). Vasquez, R. A., Neurgaonkar, R. R., and Ewbank, M. D., J. Opt. Soc. Am. B 9, 1416 (1992). Rodriguez, J., Siahmakoun, A., Salamo, G., Miller, III, M. J., Clark, W. W., Wood, G. L., Sharp, E. J., and Neurgaonkar, R. R., Appl. Opt. 26, 1732 (1987). Voit, E., Zha, M. Z., Amrein, P., and Günter, P., Appl. Phys. Lett. 51, 2079 (1987). Dyakov, V. A., Korolkov, S. A., Mamaev, A. V., Shkunov, V. V., and Zozulya, A. A., Opt. Lett. 16, 1614 (1991). Rajbenbach, H., Huignard, J. P., and Refregier, P., Opt. Lett. 9, 558 (1984). Refregier, P., Solymar, L., Rajbenbach, H., and Huignard, J. P., J. Appl. Phys. 58, 45 (1985). Petrov, M. P., Sochava, S. L., and Stepanov, S. I., Opt. Lett. 14, 284 (1989). Millerd, J. E., Garmire, E. M., and Klein, M. B., J. Opt. Soc. Am. B 9, 1499 (1992). Millerd, J. E., Garmire, E. M., Klein, M. B., Wechsler, B. A., Strohkendl, F. P., and Brost, G. A., J. Opt. Soc. Am. B 9, 1449 (1992). Bylsma, R. B., Glass, A. M., Olson, D. H., and Cronin−Golomb, M., Appl. Phys. Lett. 54 (1968 (1989). Vieux, V., Gravey, P., Wolffer, N., and Picoli, G., Appl. Phys. Lett. 58, 2880 (1991). Itoh, M., Kuroda, K., Shimura, T., and Ogura, I., Jpn. J. Appl. Phys. 29, L1542 (1990). Ziari, M., Steier, W. H., Ranon, P. M., Klein, M. B., and Trivedi, S., J. Opt. Soc. Am. B 9, 1461 (1992). Partovi, A., Millerd, J., Garmire, E. M., Ziari, M., Steier, W. H., Trivedi, S. B., and Klein, M. B., Appl. Phys Lett. 57, 846 (1990). Imbert, B., Rajbenbach, H., Mallick, S., Herriau, J. P., and Huignard, J.−P, Opt. Lett. 13, 327 (1988). Rajbenbach, H., Imbert, B., Huignard, J. P., and Mallick, S., Opt. Lett. 14, 78 (1989). Chua, P. L., Liu, D. T. H., and Cheng, L. J., Appl. Phys. Lett. 57, 858 (1990). Ziari, M., Steier, W. H., Ranon, P. M., Trivedi, S., and Klein, M. B., Appl. Phys. Lett. 60, 1052 (1992). Sutter, K., Hulliger, J., and Günter, P., Solid State Commun. 74, 867 (1990); Sutter, K. and Günter, P., J. Opt. Soc. Am. B 7, 2274 (1990).

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Section 2: Glasses

2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 2.10 2.11

Introduction Commercial Optical Glasses Specialty Optical Glasses Fused Silica Fluoride Glasses Chalcogenide Glasses Magnetooptic Properties Electrooptic Properties Elastooptic Properties Nonlinear Optical Properties Special Glasses

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Section 2: Glasses

221

Section 2 GLASSES 2.1 Introduction Classification and Designation Optical glasses are characterized and designated by their refractive index and dispersion. The most common measure is the refractive index at the wavelength of the He d line (587.6 nm) or the Na D line (589.3 nm). The difference in the refractive index at the hydrogen F (486.1 nm) and C (656.3 nm) lines, nF – nC is called the average or principal dispersion. The ratio (nF – nC)/(nd – 1) is called the relative dispersion; the reciprocal of this quality is the Abbe number νd. i.e., νd = (nd – 1)/(nF – nC). A useful code for finding information on a specific optical glass composition is the mil spec designation. This is a six-digit number where the first three digits designate the refractive index nd with the preceding “l” omitted and the last three digits designate the Abbe number νd with the decimal point omitted. Thus a borosilicate glass BK 7 having an nd = 1.51680 and νd = 64.17 has a designation 517 642. Glasses having nd > 1.60, νd > 50 or nd < 1.60, νd > 55 are called “crown” (K) glass; other glasses are called “flint” (F). These letters, plus others, are usually contained in the manufacturer's designation of optical glasses. Representative manufacturer’s designations, glass types, and principal compositional components of commercial optical glasses are given in Table 2.1.1. Designations vary with the country of origin and some alternate designations are given in parentheses. “Light” or “dense” indicate the relative amounts of heavy metal oxides such as PbO or La2O3. Glasses with prefixes U or IR denote extended ultraviolet or infrared transmitting glasses. Other designators are used for glasses for special applications such as LG—laser glass, FR—Faraday rotator glass, and AO—acoustooptic glass. Various manufacturers of multicomponent optical glass use their own designations. Table 2.1.2 relates these designations to actual composition in terms of major components. The table is comprehensive for Schott Optical Glass Inc. (Duryea, PA), Hoya Glass Works Ltd (Japan), Ohara Optical Glass Manufacturing Company, and Chance–Pilkington (England) glass designations. Corning Glass Works (France) uses another form of identification in which glass type does not play as signficant a role in the name. A cross-reference chart from Corning is presented in Table 2.1.2. There are more than 200 types of optical glasses. Some are always available, others are generally available or available on short notice, and others are available on request. Section 2.2 presents properties of representative types of glasses that are generally preferred or standard glasses. Data are for Schott glasses; however, as indicated in Table 2.1.2, comparable glasses are offered by other companies. Most optical glasses are oxides; only a few nonoxide optical glasses such as heavy metal fluorides and chalcogenides are available commercially. Some of these are included as specialty glasses in Section 2.3.

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222

Handbook of Optical Materials Table 2.1.1 Designation, Type, and Major Compositional Components of Optical Glasses

Designation FB FA FP(FK) FZ FK(FC) BK(BSC) PK(PC) PSK(DPC, PCD) K(C) ZK(ZC, ZnC) BaK(BaC, LBC) SK(DBC, BCD) SSK(EDBC, BCDD) LaK(LaC, LaCL) LaSK LgSK TiK TiF TiSF(FF) KzF(CHD, SbF) KzFS(ADF) KF(CF, CHD) LLF(BLF, FEL) LF(FL) F(DF, FD) SF(EDF, FDS) SFS BaLF(LBC, BCL) BaF(BF, FB) BaSF(DBF, FBD) LaF(LaFL) LaSF TaK TaF TaSF NbF NbSF

Glass Type

Compositiona

Fluoroberyllate Fluoroaluminate Fluorophosphate Fluorozirconate Fluorocrown Borosilicate crown Phosphate crown Dense phosphate crown Crown Zinc crown Barium crown Dense barium crown Extra-dense barium crown Lanthanum crown Dense lanthanum crown Special long crown Titanium crown Titanium flint Dense titanium flint Short flint Dense short flint Crown flint Extra light flint Light flint Flint Dense flint Special dense flint Light barium flint Barium flint Dense barium flint Lanthanum flint Dense lanthanum flint Tantalum crown Tantalum flint Dense tantalum flint Niobium flint Dense niobium flint

BeF2-AF3-RF-MF2 AlF3-RF-MF2-(Y,La)F3 P2O5-AlF3-RF-MF2 ZrF4-RF-MF2-(Al,La)F3 SiO2-B2O3-K2O-KF SiO2-B2O3-R2O-BaO P2O5-B2O3-R2O-BaO P2O5-(B,Al)2O3-R2O-MO SiO2-R2O-(Ca,Ba)O SiO2(B2O3)-ZnO SiO2(B2O3)-BaO-R2O SiO2-B2O3-BaO SiO2-B2O3-BaO B2O3(SiO2)-La2O3-ZnO-MO B2O3(SiO2)-La2O3-ZnO-MO B2O3-Al2O3-MF2

}SiO2(B2O3)-TiO2-Al2O3-KF SiO2-B2O3-R2O-Sb2O3 B2O3(Al2O3)-PbO-MO

}SiO2-R2O-PbO-MO }SiO2-R2O-MO-TiO2 }SiO2-B2O3-BaO-PbO-R2O B2O3(SiO2)-La2O3-MO-PbO B2O3(SiO2)-La2O3-MO-PbO B2O3-La2O3-(Gd,Y)2O3-(Ta,Nb)2O5 B2O3-La2O3-(Gd,Y)2O3-(Ta,Nb)2O5 B2O3-La2O3-ZnO-Nb2O5 B2O3(SiO2)-La2O3-ZnO-(Ti,Zr)O2

a R and M denote one or more alkali or alkaline earth elements, respectively.

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Section 2: Glasses Table 2.1.2 Designations for Equivalent Optical Glasses Mil spec

Schott type

Hoya type

Corning type

465-657 486-817 487-704 510-635 511-604

FK 3 FK 52 FK 5 BK 1 K7

FC PFC FC BSC C

A63-65 A86-82 A87-70 B10-63 B11-60

517-642 518-603 518-651 523-594 529-518

BK 7 BaLK N3 PK 2 K5 KzF 2

BSC C BSC C CHD

B16-64 B18-60 B18-65 B23-59 B29-52

540-597 548-457 548-535 564-609 569-560

BaK 2 LLF 1 BaLF 5 SK 11 BaK 4

BCL FeL FBL BCD BCL

B39-59 B48-46 B48-53 B64-61 B69-56

573-575 581-408 589-612 604-381 606-439

BaK 1 LF 5 SK 5 F5 BaF 4

BCL FL BCD FD FB

B72-57 B81-41 B89-61 C04-38 C06-44

607-566 609-590 613-443 613-585 614-564

SK 2 SK 3 KzFS N4 SK 4 SK 6

BCD BCD FSB BCD BCD

C07-57 C09-59 C13-44 C13-58 C13-56

618-551 620-363 620-603 623-531 623-569

SSK 4 F2 SK 16 SSK 2 SK 10

BCD FD BCD BCDD BCD

C17-55 C20-36 C20-60 C23-53 C23-57

623-581 624-469 626-356 637-353 639-555

SK 15 BaF 8 F1 F6 SK N18

BCD FB FD FD BCD

C23-58 C24-47 C26-36 C37-35 C39-56

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Handbook of Optical Materials Table 2.1.2—continued Designations for Equivalent Optical Glasses

Mil spec

Schott type

641-601 648-339 650-392 651-559 652-585

LaK 21 SF 2 BaSF 10 LaK22 LaK N7

BCS FDD FBD BCS BCS

C41-60 C48-34 C51-39 C51-56 C52-58

658-572 659-510 667-331 667-484 670-471

LaK11 SSK N5 SF 19 BaF N11 BaF N10

BCS BCDD FDD FB FB

C57-57 C58-51 C67-33 C67-48 C70-47

678-555 689-312 689-496 691-548

LaK N12 SF 8 LaF 23 LaK N9

BCS FeD FBS BCS

C78-56 C89-31 C90-50 C90-55

697-554 699-301 702-411 713-538 717-295

LaK N14 SF 15 BaSF 52 LaK 8 SF 1

BCS FeD FBD BCS FeD

C97-55 C99-30 D01-41 D13-54 D17-29

717-480 720-503 724-380 728-284 734-514

LaF N3 LaK 10 BaSF 51 SF 10 LaK N16

FBS BCS FBD FeD BCS

D17-48L D20-50 D23-38 D28-28 D34-51

740-281 744-448 755-276 762-269 785-258

SF 3 LaF N2 SF 4 SF 55 SF 11

FeD FBS FeD FeD FeD

D40-28 D44-45 D56-27 D62-27 D85-25

785-259 788-474 803-464 805-255 878-385

SF 56 LaF 21 LaSF N30 SF 6 LaSF 15

FeD FBS FBS FeD FBS

D85-26 D88-47 E03-47 E05-25 E78-38

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Hoya type

Corning type

Section 2: Glasses

225

2.0

1.9

TaSF LaSF

1.8

LaSK TaF

Refractive index nd

LaF

SF

NbF 1.7

SFS

LaK

BaSF BaF

SK

1.6

PSK

SSK

BaK FZ

1.5 FP

PK

BK

K

F

KzFS BaLF KF

TiSF

LF LLF TiF

TiK

FK SiO2

FA

1.4 FB 1.3

BeF2 100

80

60 Abbe number νd

40

20

Figure 2.1.1 Glass map of the optical glass compositions in Table 2.1.1.

Refractive Index Optical glasses cover a general range of refractive indices nd = 1.4 to 2.0 and reciprocal dispersions νd = 20 to 90. These are almost exclusively oxide glasses. The location of the glasses is shown in the glass map above, where the lines divide the main compositional types. The range of nd – νd in this figure is larger than that given in the ordinary glass catalogs so as to include low-index, low-dispersion fluoride glasses. Amorphous SiO2 and BeF2 are added to indicate the extrema for oxide and fluoride glasses. Many higher index chalcogenide glasses cannot be located in an nd – νd plot because the absorption edge extends into the visible and it is not always possible to measure νd. Therefore for infrared materials, plots are made using a reciprocal dispersion based on measurements of refractive index at longer wavelengths. Manufacturer’s data sheets usually report the refractive index (the mean value for a number of melts) at a number of specific wavelengths. Wavelengths of a number of commonly used spectral lines and laser wavelengths are given in Table 2.1.3. For interpolating values of the refractive index at the other wavelengths, glass manufacturers use an approximate dispersion formula derived from a power series expansion of the form n2 = A0 + A12 + A2 λ-2 + A3 λ-4 + A4 λ-6 + A5 λ-8, where the constants Ai are determined from a least squared fit of the measured values.

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Handbook of Optical Materials Table 2.1.3 Principal Wavelengths Used for Refractive Index Measurements

Wavelength (nm)

Spectral line

365.0 404.7 435.8 480.0 486.1 546.1 587.6 589.3 632.8 643.8

i n g F' F e d D He-Ne laser C'

Element

Wavelength (nm)

Spectral line

656.3 706.6 768.2 852.1 1014.0 1060.0 1064 1529.6 1970.1 2325.4

C r A' s t Nd glass laser Nd:YAG laser

Hg Hg Hg Cd H Hg He Na Cd

Element H He K Cs Hg

Hg Hg Hg

Using the above equation, refractive indices in the wavelength range 365-1014 nm can be calculated to an accuracy of ± 5 x 10−6 or better. The thermal coefficient of refractive index depends on the wavelength, temperature, and pressure. Transmission The transmission of optical glasses is frequently given in terms of the internal transmission Ti after correction for reflective losses R, that is, Ti = T/R. The deviation of Ti from 100% is a measure of absorption due to impurities and scattering due to defects. The internal transmittance is usually reported at a number of standard wavelengths from the ultraviolet to the infrared. The transmission (I/Io) and the absorption coefficient α for a sample of length l are related by αl = ln(Ι0/Ι) = 2.303OD, where OD = log10(Io/I) is the absorbance or optical density. The absorption cross section σ is derived from α = σN, where N is the number of absorbing centers to unit volume. Glasses exist that are optically transparent in the vacuum ultraviolet and in the mid-infrared. Variations of the ultraviolet and infrared absorption edges of representative optical glasses are illustrated below. 100

Transmission (%)

80

Fused silica

Fluorophosphate (LG–810) Fluorozirconate

60

Borosilicate (BK 7)

40 Lead silicate (SF 6)

20 0 150

200

250 300 Wavelength (nm)

350

400

Figure 2.1.2. Ultraviolet absorption edge of representative optical glasses. Sample thicknesses: 5 mm except for SiO2 and LG 810 which are 2 mm. © 2003 by CRC Press LLC

Section 2: Glasses

227

100 Fluorohafnate

Transmission (%)

80 As2S3 Silicate

60

As2Se3

Germanate As2Te3

40 Tellurite 20

0

2

4

6

8 10 12 Wavelength (µm)

14

16

18

20

Figure 2.1.3. Infrared absorption edge of representative optical glasses. Sample thicknesses: 2 mm.

Thermal Properties The temperature range in which a glass transforms from its solid state into a “plastic” state is called the transformation region. A transformation (annealing) temperature Tg is used to define this region and is determined from a standard thermal expansion measurement. The viscosity of the melt at Tg is approximately 1013.4 poise. The softening temperature is that temperature at which, in a standard test, the glass deforms under its own weight and corresponds to a melt viscosity of 107.6 poise. Thermal expansion varies the dimensions of glass and affects refractive optics subject to either uniform or gradient temperature variations. The coefficient of thermal expansion α of glass ranges from near zero for special low expansion glasses such as titania-doped SiO2 and tailored glass ceramics to values greater than 20 x 10–6/K. For optical glasses α ranges from about 4 to 16 x 10–6/K. The thermal expansion coefficient increases with increasing temperature, exhibiting a nonlinear increase up to about room temperature, followed by an approximately linear range until the glass begins to exhibit plastic behavior, and then a rapid increase with increasing structural mobility in the glass. Therefore, mean thermal expansion coefficients are given for a specific temperature range. Because of its disordered atomic structure, the thermal conductivity of glass is much lower than that for crystalline materials. The thermal conductivity of optical glasses ranges from about 0.5 to 1.5 W/m K, being high for silica and low for glasses containing large quantities of heavy elements such as lead, tantalum, barium, and lanthanum. The thermal conductivity of glass increases with temperature but only slightly above 300 K. Mechanical Properties The mechanical response of a glass to an applied force is described by various moduli. Optical glass catalogs usually list moduli such as Young’s modulus E (extension in tension) and the modulus of rigidity or shear G which are important for thermal and mechanical stress determinations. These are related to Poisson’s ratio µ (ratio of lateral to longitudinal strain under unilateral stress) by µ + 1 = E/2G. © 2003 by CRC Press LLC

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The bulk modulus B (1/isothermal compressibility) is related to the above moduli by B = E/3(1 − µ). Elastic moduli can also be expressed in terms of the longitudinal and transverse sound velocities and the density. The hardness of a glass is usually measured from the indentation of Knoop or Vickers penetrators. Values (Knoop) for oxide glasses range from ~250 for high-lead-content glasses to 2 >600 kg/mm for lanthanum crown glasses. The Knoop hardness generally correlates with Young’s modulus. The stress-optical coefficient K varies with glass type and wavelength. It is usually positive, although it can become negative (so-called Pockels glasses) for silicate glasses having a high lead content. The stress-optical coefficient is measured in units of 1 Brewster = (TPa)–1 = 10–12 m2/N. Values of K are included in the table and generally range from –2 < K < 4 TPa–1 for oxide glasses to –40 < K < 20 TPa–1 for chalcogenide glasses.

Chemical Properties An important consideration for many optical glasses is their chemical reactivity with slurries during cutting and polishing of components such as lenses, windows, and prisms and with its environment where it may be subject to chemical attack by water, water vapor, gases, acids, etc. Corrosion, dimming, and straining occur and vary greatly depending on the chemical composition of the glass. No simple test and parameter is sufficient to characterize chemical reactivity under all conditions. Thus many terms and tests are used to rank glasses with respect to their resistance to acids, straining, climate, weathering, etc. Manufacturers typically list several categories of acid and alkali resistance to cover the above ranges.

2.2 Commercial Optical Glasses Data for selected commercial optical glasses representative of the various glass types are presented in Sections 2.2 and 2.3 are from manufacturers’ catalogs and data sheets and from the Handbook of Optics, Vol. II (McGraw-Hill, New York, 1995), chapter 33, and references cited therein.

© 2003 by CRC Press LLC

Section 2: Glasses 2.2.1

Optical Properties

Glass type

Refractive index nd

FK 5 FK 51 PK 2 PSK 3 PSK 53 BK 7 BaLK N3 K5 UK 50 ZK 1 ZK N7 BaK 50 SK 2 SK 14 KF 9 BaLF 4 SSK 4 SSK N5 LaK N7 LaK 10 LLF 6 BaF 4 BaF N10 LF 5 F2 BaSF 2 BaSF 51 LaF N2 LaF N21 LaSF 30 LaSF 31 SF 2 SF 59 SF N64 TiK 1 TiF 1 TiF 6 KzF N1 KzFS N4 LgSK 2

1.48749 1.48656 1.51821 1.55232 1.62014 1.51680 1.51849 1.52249 1.52257 1.53315 1.50847 1.56774 1.60738 1.60311 1.52341 1.57957 1.61765 1.65844 1.65160 1.72000 1.53172 1.60562 1.67003 1.58144 1.62004 1.66446 1.72373 1.74400 1.78831 1.80318 1.88067 1.64769 1.95250 1.70585 1.47869 1.51118 1.61650 1.55115 1.61340 1.58599

70.41 84.47 65.05 63.46 63.48 64.17 60.25 59.48 60.38 57.98 61.19 57.99 56.65 60.60 51.49 53.71 55.14 50.88 58.52 50.41 48.76 43.93 47.11 40.85 36.37 35.83 38.11 44.77 47.39 46.45 41.10 33.85 20.36 30.30 58.70 51.01 30.97 49.64 44.30 61.04

NbF 1

1.74330

59.23

* dn/dT in air; 0/+20˚C

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Abbe number νd

Dispersion -3 nF − nC(x10 ) 6.924 5.760 7.966 8.704 9.769 8.054 8.606 8.784 8.654 9.196 8.310 9.790 10.721 9.952 10.166 10.790 11.201 12.940 11.134 14.282 10.905 13.787 14.222 14.233 17.050 18.545 18.991 16.618 16.633 17.292 21.429 19.135 46.774 22.295 8.155 10.022 19.904 11.103 13.848 9.600 –

-6

dn/dT (10 /K)* 435.8 nm 1060 nm −1.1 −5.9 3.7 – −1.7 3.4 3.1 2.4 – 4.4 6.8 8.7 5.6 3.6 5.1 6.3 4.0 – 1.7 5.8 4.4 5.1 – 4.4 5.9 – 12.1 3.4 6.1 – 6.2 −1.8 – 4.3 −1.8 −0.1 – 5.0 6.2 −2.5 7.9 (633 nm)

−1.8 −6.4 2.3 – −2.6 2.3 1.9 1.1 – 2.8 6.1 7.7 3.9 2.3 3.3 4.3 2.2 – 0.5 3.8 2.6 2.6 – 1.6 2.8 – 8.1 1.1 3.8 – 3.5 −2.6 – 0.9 −2.6 −1.5 – 3.1 4.4 −4.0 –

229

230

Handbook of Optical Materials

2.2.2 Internal transmittance (5 mm) Wavelength Glass type

320 nm

400 nm

700 nm

1530 nm

2325 nm

FK 5 FK 51 PK 2 PSK 3 PSK 53 BK 7 UBK 7 BaLK N3 K5 UK 50 ZK 1 ZK N7 BaK 50 SK 2 SK 14 KF 9 BaLF 4 SSK 4 SSK N5 LaK N7 LaK 10 LLF 6 BaF 4 BaF N10 LF 5 F2 BaSF 2 BaSF 51 LaF N2 LaF 21 LaSF 30 LaSF 31 SF 2 SF 59 SF N64 TiK 1 TiF 1 TiF 6 KzF 1 KzFS N4 LgSK 2

0.975 0.87 0.84 0.85 0.05 0.81 0.920 0.82 0.78 0.92 0.77 0.69 0.36 0.71 0.73 0.41 0.08 0.4 – 0.46 0.20 0.84 0.15 – 0.60 0.20 – – 0.02 – – 0.13 0.01 – – 0.17 – – 0.46 0.50 0.07

0.998 0.996 0.998 0.997 0.96 0.998 0.998 0.998 0.997 0.998 0.996 0.992 0.998 0.995 0.994 0.996 0.995 0.994 0.981 0.992 0.981 0.998 0.994 0.965 0.998 0.998 0.963 0.956 0.968 0.975 0.975 0.93 0.994 0.60 0.93 0.94 0.981 0.90 0.986 0.988 0.970

0.999 0.999 0.999 0.999 0.997 0.999 0.999 0.999 0.999 0.997 0.999 0.999 0.999 0.999 0.999 0.999 0.999 0.999 0.998 0.999 0.999 0.999 0.999 0.999 0.999 0.999 0.999 0.998 0.999 0.999 0.999 0.999 0.999 0.994 0.999 0.998 0.998 0.996 0.999 0.999 0.996

0.993 0.999 0.999 0.996 0.985 0.997 0.997 0.997 0.998 0.996 0.995 0.995 0.994 0.998 0.994 0.999 0.997 0.997 0.997 0.997 0.998 0.998 0.999 0.997 0.999 0.999 0.998 0.999 0.996 0.999 0.999 0.998 0.999 0.999 0.998 0.999 0.999 0.998 0.990 0.996 0.979

0.91 0.999 0.975 0.91 0.94 0.89 0.88 0.91 0.91 0.92 0.92 0.92 0.93 0.952 0.90 0.90 0.94 0.94 0.93 0.89 0.87 0.90 0.951 0.93 0.92 0.93 0.959 0.89 0.93 0.88 0.87 0.961 0.94 0.950 0.950 – 0.89 0.68 0.92 0.790 –

© 2003 by CRC Press LLC

Section 2: Glasses 2.2.3 Mechanical Properties Glass type FK 5 FK 51 PK 2 PSK 3 PSK 53 BK 7 BaLK N3 K5 UK 50 ZK 1 ZK N7 BaK 50 SK 2 SK 14 KF 9 BaLF 4 SSK 4 SSK N5 LaK N7 LaK 10 LLF 6 BaF 4 BaF N10 LF 5 F2 BaSF 2 BaSF 51 LaF N2 LaF N21 LaSF 30 LaSF 31 SF 2 SF 59 SF N64 TiK 1 TiF 1 TiF 6 KzF N1 KzFS N4 LgSK 2 NbF 1

Density 3 (g/cm ) 2.45 3.73 2.51 2.91 3.60 2.51 2.61 2.59 2.62 2.71 2.49 2.93 3.55 3.44 2.71 3.17 3.63 3.71 3.84 3.81 2.81 3.50 3.76 3.22 3.61 3.90 4.31 4.54 4.44 4.56 5.24 3.86 6.26 3.00 2.39 2.47 2.79 2.71 3.20 4.15 4.17

© 2003 by CRC Press LLC

Young’s modulus E 3 2 (10 N/mm ) 62 79 84 84 77 81 72 71 73 68 71 81 78 86 67 76 79 88 90 111 63 66 89 59 58 66 80 87 120 124 123 55 51 93 40 58 65 60 60 76 108

Poisson’s ratio µ

Knoop hardness 2 (kg/mm )

0.205 0.287 0.209 0.226 0.287 0.208 0.212 0.227 0.240 0.214 0.259 0.263 0.261 0.202 0.244 0.265 0.278 0.277 0.288 0.205 0.247 0.281 0.226 0.225 0.245 0.289 0.293 0.294 0.290 0.298 0.231 0.269 0.250 0.254 0.239 0.263 0.225 0.276 0.290 0.308 –

450 360 520 510 370 520 470 450 460 430 450 520 460 490 440 460 460 470 460 580 420 400 480 410 370 410 450 450 630 630 620 350 250 500 330 440 410 500 380 340 675

Stress-optical coefficient -1 K (TPa) 2.91 0.67 – – – 2.74 – – – – 3.62 – – 2.00 – – – – – – – – – 2.81 – – – 1.65 – – – 2.65 −1.46 – – – – – – – –

231

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Handbook of Optical Materials

2.2.4 Thermal Properties Glass type FK 5 FK 51 PK 2 PSK 3 PSK 53 BK 7 BaLK N3 K5 UK 50 ZK 1 ZK N7 BaK 50 SK 2 SK 14 KF 9 BaLF 4 SSK 4 SSK N5 LaK N7 LaK 10 LLF 6 BaF 4 BaF N10 LF 5 F2 BaSF 2 BaSF 51 LaF N3 LaF N21 LaSF 30 LaSF 31 SF 2 SF 59 SF N64 TiK 1 TiF 1 TiF 6 KzF N1 KzFS N4 LgSK 2 NbF 1 * 20/300˚C

© 2003 by CRC Press LLC

Thermal expansion* ( 10-6/K) 9.2 16.9 6.9 7.4 10.7 7.1 9.0 8.2 8.1 7.5 5.4 4.6 7.0 7.0 638 6.4 6.1 7.9 8.2 6.9 8.5 8.8 7.9 9.1 8.2 9.3 6.4 9.1 6.9 7.1 7.9 9.2 10.3 9.7 10.3 9.1 16.7 7.5 5.5 12.1 5.3

Thermal conductivity (W/m K)

Specific heat ( J/g K)

0.925 – 1.149 0.990 0.612 1.114 1.029 0.950 0.964 0.894 1.042 1.044 0.776 0.851 1.01 0.827 0.806 – – – – 0.766 0.798 0.866 0.780 – 0.722 0.670 – – – 0.735 0.506

0.818 – 0.80 0.682 0.603 0.858 0.749 0.783

0.773 0.953 – – 0.769 0.866 0.845

0.842 0.81 – – 0.64 0.51 0.48

0.77 0.770 0.758 0.595 0.636 0.75 0.67 0.57 0.574 – – – 0.557 0.595 0.657 0.557 – 0.536 0.481 – – – 0.498 0.306

Transform. temp. (˚C) 464 403 568 602 614 563 562 583 554 562 528 629 654 649 445 569 639 641 618 620 422 521 630 419 432 493 522 616 667 684 753 441 362 578 340 443 410 470 492 515 590

Softening temp. (˚C) 672 – 721 736 – 766 738 720 735 732 721 820 823 773 661 731 791 751 716 703 627 694 745 585 593 640 630 736 – – – 600 – 666 – – 494 675 594 – 625

Section 2: Glasses

233

2.3 Specialty Optical Glasses Designation Vycor (Corning 7913) Pyrex (Corning 7740)

Glass type

Composition

silica borosilicate

96% SiO2 SiO2–B2O3–Na2O–Al2O3

alkali borosilicate borosilicate

SiO2–B2O3–Na2O + . . . SiO2–B2O3–Na2O–CaO + . . .

Infrared transmitting glasses Fused germania Corning 9753 Corning 9754 Barr&Stroud BS-39B Kigre BGA Schott IRG 2 Schott IRG 9 Schott IRG 11 Schott IRG 100 Arsenic trisulfide Arsenic triselenide AMTIR-1 AMTIR-3

germanium oxide calcium aluminate calcium aluminate calcium aluminate germanate germanate fluorophosphate calcium aluminate chalcogenide chalcogenide chalcogenide chalcogenide chalcogenide

100% GeO2 SiO2–CaO–Al2O3 GeO2–CaO–Al2O3–BaO–ZnO CaO–Al2O3–MgO BaO–Ga2O3–GeO2

Fluoride glass Ohara HTF-1

fluoride

Low expansion glasses CLEARCERAM 55 (Ohara) CLEARCERAM 63 (Ohara) LE30 (Hoya) Zerodur (Schott) ULE (Corning 7971)

glass ceramic glass ceramic glass ceramic glass ceramic glass ceramic

aluminosilicate SiO2–Al2O3–P2O5 + . . . SiO2–TiO2

Athermal glasses Schott PSK 54 Schott TiF 6

dense phosphate crown titanium flint

P2O5– (B,Al)2O3–R2O–MO SiO2(B2O3) –TiO2–Al2O3–KF

Acoustooptic glasses Hoya AOT-5 Hoya AOT-44B

tellurite tellurite

TeO2 + . . . TeO2 + . . .

Ultraviolet transmitting glasses Corning 9741 Schott UBK 7 ULTRAN 30 (Schott) Hoya UBS250

Low nonlinear refractive index glass Schott FK 54 fluorophosphate

© 2003 by CRC Press LLC

P 2 O5 + . . . CaO–Al2O3 + . . . 100% As2S3 100% As2Se3 Ge33As12Se55 Ge28As12Se60

P 2 O5 + . .

234

Handbook of Optical Materials

2.3.1 Optical Properties

Glass type Vycor (Corning 7913) Pyrex (Corning 7740)

Transmission range (µm)

Refractive index n d

Abbe number νd

0.3–2.4 1.474

Ultraviolet transmitting glasses Corning 9741 Schott UBK 7 ULTRAN 30 (Schott) Hoya UBS250

0.25– 0.32–2.1 0.28– 0.27–

1.47 1.5168 1.5483 1.472

65 64.3 74.3 65.8

Infrared transmitting glasses Fused germania Corning 9753 Corning 9754 Barr&Stroud BS-39B Kigre BGA Schott IRG 2 Schott IRG 9 Schott IRG 11 Schott IRG 100 Arsenic trisulfide Arsenic triselenide AMTIR-1 AMTIR-3

0.30–4.9 0.38–4.3 0.36–4.8 0.38–4.9 0.5–5.0 0.44–5.1 0.38–4.1 0.44–4.75 0.93–13 0.62–11.0 0.87–17.2 0.75–14.5 0.93–16.5

1.60832 (nD) 1.60475 (nD)) 1.6601 (nD) 1.6764 (nD) 1.663 (nD) 1.8918 1.4861 1.6809 2.7235 (n1) 2.47773 (n1) 2.7728 (n12) 2.6055 (n1) 2.6366 (n3)

41.2

Fluoride glass Ohara HTF-1

0.21–6.9

1.44296

92.5

Low expansion glasses CLEARCERAM 55 (Ohara) CLEARCERAM 63 (Ohara) LE30 (Hoya) Zerodur (Schott) ULE (Corning 7971)

0.42– 0.40– 0.35– 0.4–2.3 0.23–3.9

1.547 1.547 1.532 1.5424 1.5418

55.0 55.1 56.1 75.2

Athermal glasses Schott PSK 54 Schott TiF 6

0.4–1.7

1.5860 1.6165

64.6 31.0

Acoustooptic glasses Hoya AOT-5 Hoya AOT-44B

2.10238 1.97961

18.10 20.58

Low nonlinear refractive index glass Schott FK 54 0.35–2.5

1.4370

90.7

© 2003 by CRC Press LLC

dn/dT (10-6/K)

46.5 44.5 45.6 30.0 81.0 44.2

−5.8 (546 nm)

7.4 (589.3 nm) 12

103 (2.5 µm) 85 (0.6 µm) 55 (0.83 µm) 101 (1 µm) 98 (3 µm)

15.7 −5.5

−5.68 (546 nm)

Section 2: Glasses

235

2.3.2 Mechanical Properties

Glass type Vycor (Corning 7913) Pyrex (Corning 7740)

Density (g/cm3)

Young’s modulus E (103 N/mm2)

Poisson’s ratio µ

Knoop hardness (kg/mm2)

2.18 2.23

68.8 62.8

0.19 0.200

487 418

Ultraviolet transmitting glasses Corning 9741 Schott UBK 7 ULTRAN 30 (Schott) Hoya UBS250

2.17 2.51 4.02 2.26

72 81 76 59.1

0.23 0.212 0.297 0.222

500 380 488

Infrared transmitting glasses Fused germania Corning 9753 Corning 9754 Barr&Stroud BS-39B Kigre BGA Schott IRG 2 Schott IRG 9 Schott IRG 11 Schott IRG 100 Arsenic trisulfide Arsenic triselenide AMTIR-1 AMTIR-3

3.60 2.798 3.581 3.1 3.6 5.00 3.63 3.12 4.67 3.20 4.69 4.41 4.67

43.1 98.6 84.1 104 84.1 95.9 77.0 107.5 21 15.8 18.3 22.1 21.4

0.192 0.28 0.290 0.29 0.29 0.282 0.288 0.284 0.261 0.295 0.288 0.27 0.26

Fluoride glass Ohara HTF-1

3.94

64.2

0.28

320

Low expansion glasses CLEARCERAM 55 (Ohara) CLEARCERAM 63 (Ohara) LE30 (Hoya) Zerodur (Schott) ULE (Corning 7971)

2.56 2.57 2.58 2.53 2.205

95.8 95.5 75.4 91 67.3

0.25 0.25 0.159 0.24 0.17

680 660 657 630 460

Athermal glasses Schott PSK 54 Schott TiF 6

3.52 2.79

65

0.262

340 310

Acoustooptic glasses Hoya AOT-5 Hoya AOT-44B

5.87 5.06

Low nonlinear refractive index glass Schott FK 54 3.18

© 2003 by CRC Press LLC

0.286

3.9

600 560 560 481 346 610 150 180 120 170 150

290 226

76

Stress-optic coefficient K (TPa)-1

320

2.9 3.0 4.0

236

Handbook of Optical Materials

2.3.3 Thermal Properties

Glass type Vycor (Corning 7913) Pyrex (Corning 7740)

Thermal expansion (10-6/K) 0.75 3.25

Ultraviolet transmitting glasses Corning 9741 Schott UBK 7 ULTRAN 30 (Schott) Hoya UBS250

3.8 8.3 13.9 5.6

Infrared transmitting glasses Fused germania Corning 9753 Corning 9754 Barr&Stroud BS-39B Kigre BGA Schott IRG 2 Schott IRG 9 Schott IRG 11 Schott IRG 100 Arsenic trisulfide Arsenic triselenide AMTIR-1 AMTIR-3

6.3 6.0 6.2 6.3 6.3 8.8 16.1 8.2 15.0 26.1 24.6 12.0 13.5

Fluoride glass Ohara HTF-1

16.1

Low expansion glasses CLEARCERAM 55 (Ohara) CLEARCERAM 63 (Ohara) LE30 (Hoya) Zerodur (Schott) ULE (Corning 7971)

0.2 −2.1 0.4 0.5 0.03

Athermal glasses Schott PSK 54 Schott TiF 6 Acoustooptic glasses Hoya AOT-5 Hoya AOT-44B

Thermal conduct. (W/m K) 1.38 1.13

0.667 0.96

2.3 0.81

0.91 0.88 1.13 0.3 0.17 0.20 0.25 0.22

Specific heat ( J/g K) 0.75 1.05

0.58

0.746 0.795 0.54 0.865 0.495 0.695 0.749 0.473 0.349 0.293 0.276

Transform. Softening temp. (K) temp. (K) 890 560

1200 821

733 563 513 449

978 716 600 645

800 1015 1008 741 975 696 1075 550 436 635 550

1147 970 873

624 573 345 678 570

658

1.62 1.62

0.76 0.73

1.64 1.31

0.821 0.776

690

921

1000

1490

11.9 16.7

486 410

568 494

16.1 20.1

332 296

347 314

Low nonlinear refractive index glass Schott FK 54 16.9

403

© 2003 by CRC Press LLC

Section 2: Glasses

237

2.4 Fused (Vitreous) Silica* Different types of silica have been commercially available from several suppliers (Corning Incorporated, Hereaus Amersil, Thermal Syndicate Ltd, General Electric Co., Quartz et Silice [France], Dynasil Corp. of America, NSG Quartz [Japan], Westdeutsche Quartzschmelze GmbH (Germany), Nippon Glass [Japan]). The glasses are compositionally the same except for metallic impurities, structural defects, and water content, but these differences and fabrication variations cause the properties of the silicas to differ significantly. The vitreous silicas can be distinguished by the source of raw material used and the process of melting or consolidating the raw material into bulk vitreous silica. It is produced commercially from naturally occurring quartz of high purity and from silicon tetrachloride liquid or vapor or from tetraethyl orthosilicate liquid. These precursors are 1 processed in several different ways. Hetherington et al. divided the different silicas into four types based on manufacturing method In one method, naturally occurring quartz is purified to varying degrees by preselection of clean crystalline material, fragmented to a fine powder, and fused to bulk glass. The fusion is performed by electric melting in a refractory crucible or container under vacuum, an inert atmosphere, or a hydrogen atmosphere. This produces a type of vitreous silica designated as type I. If the same raw material is fused using an oxyhydrogen torch or an isothermal plasma torch, then the resultant vitreous silica is designated type II. The principal differences between these are the lower hydroxyl content and different impurities of type I. Melting atmosphere influences the glass structure and properties. After fusion, various amounts of hot working are performed to homogenize the resultant silica glasses. The synthetic precursors, mainly SiCl4, are fused to a solid glass with an oxyhydrogen torch producing a very pure but wet material denoted type III. These precursors also can be used to produce vitreous silica under relatively dry conditions such as those present using an oxygen or argon plasma torch. This material has been designated type IV. The principal difference between types III and IV fused silica is OH content which introduces strong absorption around 2.8 µm. Using similar torches but depositing on a cooler bait, the synthetic material can also be formed into a porous boule that is subsequently consolidated to a fully dense silica boule in a furnace. Consolidation of the porous silica body can involve firing in different atmospheres and can be achieved at a temperature several hundred degrees below that used for fusion of the type III and type IV silica. The commercialization of this latter technology has occurred principally in the fabrication of optical fibers based on vitreous silica. Certain manufacturers have used this technology for the fabrication of bulk silica. This vitreous silica is similar to type III or IV depending on the method of consolidation, but the processing is sufficiently different that it should be considered in a class by itself. Although there is varied opinion on what kind of silica should be designated type V, there is general agreement that there are many types of vitreous silica which, because of the dependence on 2 fabrication, do not fall into the earlier established four types. Fleming has viewed the consolidated soot sufficiently close to type III and IV that it is designated type V in the following tables. Fluoride-doped, low-OH silica glass has recently been developed for deep 3 UV and vacuum UV applications and is designated as modified silica. Optical, mechanical, and thermal properties of the various types of silicas are compared below. * From Fleming, J. W., Optical glasses, Handbook of Laser Science and Technology, Suppl. 2: Optical Materials (CRC Press, Boca Raton, 1995), p. 69 (with additions).

© 2003 by CRC Press LLC

238

Handbook of Optical Materials

Glass Type

Brand name

Source

SiO2 I

IR-Vitreosil Infrasil Pursil 453, Ultra GE 104, 105, 201, 204, 124, 125

4 5 6 7

SiO2 II

Herasil, Homosil, Ultrasil, Optosil Vitreosil 055, 066, 077

5 4

SiO2 III

Suprasil Spectrosil 7940, 7980 (HPFS) Dynasil Tetrasil NSG-ES GE 151 Synsil

SiO2 IV

Suprasil W Spectrosil WF

SiO2 V

Nippon Sheet Glass

12

Sol gel SiO2

Gelsil

13

5 4 8 9 6 10 7 11 5 4

Refractive Index Properties14

λ (nm) 193 238 248 308 365 405 436 486 546 588 633 644 656 1064 1500 2000 2500 3000 3500

Refractive index Homosil/ Herasil/ Infrasil Suprasil 1.56077 1.50855 1.48564 1.47447 1.46962 1.46669 1.46313 1.46008 1.45846 1.45702

1.560841

1.47462 1.46975 1.46681 1.46324 1.46018 1.45856

1.45637

1.45646

1.44462 1.43809 1.42980 1.41925 1.40589

1.44473 1.43821 1.42995 1.41941 1.40605

© 2003 by CRC Press LLC

HPFS 7980

1.508601 1.485663 1.474555 1.469628 1.466701 1.463132 1.460082 1.458467 1.457021 1.456370 1.449633

λ (nm) 193 238 248 308 365 405 436 486 546 588 633 644 656 1064 1500 2000 2500 3000 3500

dn/dT (10-6/K) Homosil/ Herasil/ Infrasil Suprasil

HPFS 7980 20.6

14.6

15.2

11.0

11.5

9.9 9.8

10.6 10.5

9.6

10.4

14.2 12.1 11.2 10.8 10.6 10.4 10.2 10.1 10.0 9.9 9.6

Section 2: Glasses

239

Optical Properties Glass type

Data source

Transmission range (µm)

Refractive index nd

Abbe number νd

dn/dT (10-6/K) 10.5

SiO2 I

4,5,7

0.21–2.8

1.45867

67.56

SiO2 II

4,5

0.19–3.5

1.45857

67.6

SiO2 III

5,8

0.17–2.2

1.45847

67.7

SiO2 IV

5

0.18–3.5

–

–

–

SiO2 V

12

0.18–3.5

1.45847

67.7

9.9

Sol gel SiO2

13, 15

0.17–3.5

1.458–1.463

Mod. SiO2

16,17

0.155–3.5

1.65423 (157 nm)

9.9

66.4–67.8

–

–

39 (157 nm)

Resistance to humidity: fused silica exhibits no or very little surface deterioration due to climatic conditions. 18

Dispersion formula 2

2

(wavelength λ in µm)

2

2

2

Range (µm)

2

2

n = 1 + 0.6961663λ /[λ − (0.0684043) ] + 0.4079426λ /[λ − (0.1162414) ] 2

2

0.21–3.71

2

+ 0.8974794λ /[λ − (9.896161) ]

Mechanical Properties Glass type

Density (g/cm3)

Young’s modulus E (103 N/mm2)

Poisson’s ratio µ

Hardness (Knoop) (kg/mm2)

Stress-optical coefficient K (TPa)-1

SiO2 I

2.203

72

0.17

570

3.5

SiO2 II

2.203

70

0.17

600

–

SiO2 III

2.201

70

0.17

610

–

SiO2 IV

2.201

70

0.17

600

–

SiO2 V

2.201

70

0.17

600

–

Sol gel SiO2

2.204

73

–

–

–

Mod. SiO2

2.201

69

0.17

–

–

Thermal Properties Glass type

Thermal expansion ( 10-6/K)

Thermal conductivity (W/m K)

Specific heat (J/g K)

Transformation temperature (°C)

Softening temperature (°C)

SiO2 I

0.55

1.4

0.67

1215

1683

SiO2 II

0.55

1.38

0.75

1175

1727

SiO2 III

0.60

1.38

0.74

1080

1590

SiO2 IV

0.55

1.38

0.75

1110

1650

SiO2 V

0.60

1.38

0.74

Sol gel SiO2

0.57

–

–

Mod. SiO2

0.51*

1.37

0.77

* 0–300ºC

© 2003 by CRC Press LLC

1080

1590

~1160

–

–

–

240

Handbook of Optical Materials 19

Properties of Modified Silica

Refractive Index Data For Fluorine-Doped Silica Blanks Wavelength (nm) 435.8 480 546.1 589.3 632.8 643.8 777 1300 1541

0% F

0.17 wt.% F 0.67 wt.% F 0.8 wt.% F 1.12 wt.%F 1.48 wt.%F

1.4671 1.4639 1.4605 1.4588 1.4576 1.4572 1.4533 1.4472 1.4441

1.466 1.4628 1.4594 1.4578 1.4568 1.4561 1.4526 1.4461 1.4433

1.4638 1.4606 1.4573 1.4556 1.4546 1.4539 1.4502 1.4444 1.4409

1.4634 1.4603 1.4569 1.4552 1.4542 1.4536 1.4499 1.4436 1.4405

1.4618 1.4586 1.4553 1.4537 1.4529 1.452 1.4485 1.4423 1.4393

1.4604 1.4573 1.4539 1.4524 1.4515 1.4507 1.4474 1.4411 1.438

Coeff. thermal expansion (10-6/K)

0.59

–

–

0.51

–

0.43

Anneal point (°C)

1094

962

883

866

833

807

References: 1. Hetherington, G., Jack, K. H., and Kennedy, J. C., The viscosity of vitreous silica, Phys. Chem. Glass 5, 123 (1970). 2. Flerming, J. W., Optical glasses, Handbook of Laser Science and Technology, Suppl. 2: Optical Materials (CRC Press, Boca Raton, 1995), p. 69. 3. Smith, C. M. and Moore, L. A., Proc. SPIE 3676, 834 (1999). 4. Thermal Syndicate Ltd, Montville, NJ 5. Hereaus Amersil, Duluth, GA 6. Quartz et Silice, France 7. General Electric Co., Cleveland, OH 8. Corning Incorporated 9. Dynasil Corp. of America, Berlin, NJ 10. NSG Quartz, Japan 11. Westdeutsche Quartzschmelze GmbH, Germany 12. Nippon Sheet Glass, Japan 13. Hench, L. L., Wang, S. H., and Nogues, J. L., Gel-silica optics, Proc. SPIE 878, 76 (1988). 14. Data from Hereaus Amersil (Suprasil, Homosil, Herasil, Infrasil) and Corning (HPFS, 7980). 15. Shoup, R. D., Gel-derived fused silica for large optics, Ceramic Bull. 70, 1505 (1991). 16. Smith, C. M., Modified silica transmits vacuum UV, Optoelectronics World (July 2001), p. S15. 17. Moore, L. A. and Smith, C. M., Fused silica for 157-nm transmittance, Proc. SPIE 3673, 392 (1999). 18. Rodney, W. S. and Spinder, R. J., Index of refraction of fused quartz glass for ultraviolet, visible, and infrared wavelengths, J. Res. Nat. Bur. Stand. 53, 185 (1954). 19. Moore, L. A. and Smith, C. M. (private communication, 2002).

© 2003 by CRC Press LLC

Section 2: Glasses

241

2.5 Fluoride Glasses 2.5.1 Fluorozirconate Glasses Fluorozirconate Glass Compositions Glass ZBL ZBG ZBGA ZBT ZTL ZBAN ZBLA ZBGA ZBLAL ZBLYAL ZBLAN

Composition (mol %) LaF3 YF3 AlF3

ZrF4

BaF2

GdF3

62 63 61 60 60 58 57 60 52 49 56

33 33 32 33

– 4 4 –

5 – – – 7

– – – –

15 34 32 20 22 14

– 4 – – –

5 – 5 3 6

– – – 3 –

– – 3 – – 6 4 4 3 3 4

ThF4

LiF

NaF

– – – 7 23

– – – – –

– – – – –

– – 20 20 –

– – – – – 21 – – – – 20

Optical Properties Glass type

Transmission range (µm)

ZBL ZBT ZBLA ZBLAN

Refractive index nD

0.25–7.0 0.32–6.8 0.29–7.0 0.25–6.9

dn/dT (10−6/K) 435.8 nm 1060 nm

Abbe number νd

1.523 1.53 1.521 1.480

– – 62 64

– – – −14.5 (633 nm)

– – – –

Mechanical Properties Glass type

Density 3 (g/cm )

ZBL ZBT ZBLA ZBLAN

4.78 4.8 4.61 4.52

Young’s modulus E 60 60 60.2 60

Poisson’s ratio µ 0.31 0.28 0.25 0.31

Hardness (Knoop)

Stress-optical coeff. K (TPa) −1

228 250 235 225

– – – –

Thermal Properties Glass type

Thermal expansion −6 ( 10 /K)

ZBL ZBT ZBLA ZBLAN

© 2003 by CRC Press LLC

18.8 4.3 18.7 17.5

Thermal conductivity (W/m K) – – – 0.4

Specific heat ( J/g K) 0.538 0.511 0.534 0.520

Transformation temperature (K) 580 568 588 543

Softening temperature (K) – 723 – –

242

Handbook of Optical Materials

2.5.2 Fluorohafnate Glasses Fluorohafnate Glass Composition (mol %) Glass

HfF4

HBL HBT HBLA

62 60 58

BaF2

LaF3

AlF3

33 33 33

5 – 5

– – 4

ThF4 – 7 –

Optical Properties Glass type HBL HBT HBLA

Transmission range (µm) 0.25–7.3 0.22–7.7 0.29–7.3

Refractive index nD 1.498 1.53 1.504

dn/dT (10−6/K) 435.8 nm 1060 nm

Abbe number νd – – –

– – –

– – –

Mechanical Properties Glass type

Density 3 (g/cm )

HBL HBT HBLA

5.78 6.2 5.88

Young’s modulus E 55 55 56

Poisson’s ratio µ 0.3 0.3 0.3

Hardness (Knoop) 228 250 240

Stress-optical coeff. K (TPa) −1 – – –

Thermal Properties Glass type

Thermal expansion (10−6/K)

HBL HBT HBLA

18.3 6.0 17.3

Thermal conductivity (W/m K) – – –

Specific heat ( J/g K) 0.413 0.428 0.414

Transformation temperature (K) 605 593 580

Softening temperature (K) – – –

Data in the tables of Sections 2.5.1 and 2.5.2 are from the Handbook of Optics, Vol. II (McGraw-Hill, New York, 1995), chapter 33, and references cited therein.

© 2003 by CRC Press LLC

Section 2: Glasses

243

2.5.3 Other Fluoride Glasses Fluoroberyllate Glasses Composition (mol %) Glass

BeF2

BF BLK BACK BAMCBa

MgF2

100 60 49 35

– – – 19

CaF2

BaF2

AlF3

LiF

KF

– – 14 10

– – – 14

– – 10 22

– 20 – –

– 20 27 –

Properties of Fluoroberyllate Glasses Glass

Density (g/cm3)

BF BACK BAMCBa

Refractive index nD

2.122 2.621 3.247

Abbe number

Nonlinear index (m2/W)

1.275 1.3459 1.3538

0.75 1.03 1.14 (calc.)

Hardness (kg/mm2)

105 96 ~95

300 215 315

Barium Indium Fluoride Glasses Glass

BaF3

InF3

30 30

30 18

BIZnYbT BlG

Composition (mol %) GaF3 ZnF2 YbF3 – 12

20 20

ThF4

ZrF4

10 6

– 4

10 10

Aluminofluoride Glasses Composition (mol %)

YABC CLAP ABC

AlF3

BaF2

CaF2

40 30.6 30.2

20 – 9.9

20 – 19.2

© 2003 by CRC Press LLC

YF3

SrF2

20 – 8.3

– – 12.4

MgF2

CdF2

– – 3.5

– 26.1 –

LiF

NaF

ZrF4

PbF2

– 10 –

– – 3.8

– – 10.2

– 33.3 2.5

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Handbook of Optical Materials

2.6 Chalcogenide Glasses Chalcogenide Glass-Forming Systems System

Example glass (atomic %)

As-S As-Se Ge-S Ge-Se Ge-As-S Ge-As-Se Ge-As-Te Ge-Se-Te Ge-Sb-Se Ge-P-S Ge-As-Se-Te

As 40, S 60 As 40, Se 60 Ge 20, S 80 Ge 20, Se 80 Ge 25, As 15, S 60 Ge 33, As 12, Se 55 Ge 10, As 20, Te 70 Ge 22, Se 20, Te 58 Ge 28, Sb 12, Se 60 Ge 70, P 5, S 25 Ge 30, As 13, Se 27, Te 30

Refractive Indices of Chalcogenide Glasses Refractive Index (nλ), λ in µm

Glass (atomic %)

n2

As40, S60 2.4268 As40, Se60 – Ge20, Se80 – Ge25, As15, Se60 2.22 Ge10, As20, Se70 – Ge10, As30, Se60 – Ge10, As40, Se50 – Ge33, As13, Se55 2.5310 Ge10, As20, Te70 – Ge28, Sb12, Se60 – Ge30, As13, Se27, Te30 –

[dn/dT]λ

(10–5K–1)

n3

n4

n5

n8

n10

n12

2.4152 – – – – – – 2.5184 – 2.6266 2.8818

2.4116 – – – – – – 2.5146 – 2.6210 2.8732

2.4074 – – – – – – 2.5112 3.55 2.6173 2.8688

2.3937 2.7789 2.4071 – 2.4649 2.6256 2.6108 2.5036 – 2.6088 2.8610

2.3822 2.7789 2.4027 – 2.4594 2.6201 2.6067 2.4977 – 2.6023 2.8563

– 2.7738 2.3973 – 2.4526 2.6135 2.6016 2.4902 – 2.5942 2.8509

[0.9]5 – – – – – [7.2]10.6 – [9.1]10 [15]10

Physical Properties of Chalcogenide Glasses Glass (atomic %)

Tg (°C)

Thermal expansion (10–6/°C)

Density (g/cm3)

As40, S60 As40, Se60 Ge20, Se80 Ge25, As15, Se60 Ge10, As20, Se70 Ge10, As30, Se60 Ge10, As40, Se50 Ge 33, As13, Se55 Ge10, As20, Te70 Ge28, Sb12, Se60 Ge30, As13, Se27, Te30

180 178 154 425 159 210 222 362 – 277 262

21.4 21.0 24.8 12.8 24.8 190 20.9 12.0 18.0 13.5 12.8

3.15 4.62 4.37 3.00 4.47 4.51 4.49 4.40 – 4.67 4.91

K, Knoop; V, Vickers © 2003 by CRC Press LLC

Hardness (kg/mm2) 109(K) – 147(V) 200(K) 154(V) 176(V) 173(V) 170(K) 111(K) 159(K) 226(V)

Young’s modulus (G Pa) 15.9 – – – 16.5 18.0 15.9 22.1 – 21.5 –

Fracture toughness (N mm–3/2) – – – – 6.7 ± 0.4 7.1 ± 0.6 7.4 ± 0.8 – – – –

Section 2: Glasses

245

Chalcohalide Glass-Forming Systems As-based systems

Ge-based systems

As-S-Cl As-S-Br As-S-I As-Se-Br As-Se-I As-Se-In-I As-Te-Br As-Te-I

Ge-S-Br Ge-S-I Ge-S-Ag-I Ge-As-S-I Ge-Se-Br Ge-Se-I Ge-Te-I

Te-based systems

Other systems

Te-Cl Te-Br Te-S-Cl Te-S-Br Te-S-I Te-Se-Cl Te-Se-Br Te-Se-I Te-Se-As-I

Sb-S-Br Sb-S-I Sb-Se-I Si-S-Cl Si-S-I Si-Se-I Cs-Al-S-Cl Cs-Ga-S-Cl

Properties of Chalcohalide Glasses Glass (atomic %) As 30, S 60, Br 10 As 30, Se 60, Br 10 As 30, Te 60, Br 10 As 40, S 50, Cl 10 As 30, S 60, Cl 10 Ge 30, S 60, Br 10 Ge 30, S 60, I 10 Te 60, Cl 40 Te 60, Br 40 Te 60, I 40 Te 50, Sl6.7, Cl 33.3 Te 50, Se16.7, Cl 33.3 Te 30, S 50, Cl 20 Te 30, S 50, Br 20 Te 50, S 16.7, Br 33.3 Te 50, Se 30, Br20 Te10, Se 70, I 20 Te 30, Se 25, I 45 Te 30, Se 30, I 40 Te 20, Se 30, As 40 I 10

Tg (°C)

Thermal expansion (10–6/°C)

120 70 95 145 122 322 370 82 73 44 80 81 73 64 71 – 53 49 48 120

– – – 46.7 49.0 – – 31.0 – – 33.0 – 74 60 33 – 44.6 – 62.7 –

Density (g/cm3) 3.1 4.33 4.92 2.62 4.26 – 2.90 4.63 – – – 4.2 – – – – 4.6 – 5.0 4.71

Hardness (kg/mm2) 110 110 110 71 40 – – – – – – – – – – – – – – –

nλ (λ in µm) – – – – – 1.883 (0.63) 2.0 (0.63) – – – – – – – – 2.86 (10.6) – – 2.80 (10.6) 2.87 (10.6)

Tables in Section 2.6 are from Bruce, A. J., Optical waveguide materials:glasses, Handbook of Laser Science and Technology, Suppl. 2 (CRC Press, Boca Raton, FL, 1998), p. 691.

© 2003 by CRC Press LLC

246

Handbook of Optical Materials

2.7 Magnetooptic Properties 2.7.1 Diamagnetic Glasses Verdet Constants and Dispersion of Commercial Diamagnetic Glasses1 V=π λ Glass typea FK 3 FK 5 FK 51 FK 52 PK 2 BK 3 BK 7 BaLKN3 K3 BaK 50 SK 16 SSK N 5 LaKN12 LaKN14 LF 3 F2 FN 11 F 13 LaSFN31 LaSF 32 SF 1 SF 2 SF 6 SF 14 SF 18 SF 53 SF 57 SF 58 SF 59 SFN 64 TiK 1 TiF 3 TiF 6 KzFSN 4 LgSK 2

n 1.4630 1.4860 1.4853 1.4848 1.5165 1.4967 1.5151 1.5167 1.5164 1.5657 1.6182 1.6557 1.6753 1.6941 1.5793 1.6166 1.6175 1.6188 1.8762 1.7981 1.7124 1.6438 1.7988 1.7561 1.7165 1.7232 1.8396 1.9091 1.9432 1.7011 1.4770 1.5450 1.6125 1.6105 1.5840

n2(λ)- 1 n(λ)

V (633 nm) (rad/(m Τ))

λo (nm)

A (10–7 rad/T)

4.1 4.7 3.5 3.2 4.7 4.4 4.9 5.2 5.2 5.8 5.5 5.8 6.1 4.9 8.4 10.8 2.6 10.8 5.5 2.6 15.4 11.6 20.1 15.1 15.7 15.1 21.8 27.1 28.5 1.5 4.7 2.3 2.3 7.9 6.1

95.3 92.3 84.7 86.2 96.4 96.1 97.0 100.0 101.0 102.6 101.2 110.6 106.5 106.5 120.4 129.7 130.1 130.4 125.4 143.9 144.7 134.6 156.4 152.8 145.2 146.7 161.7 170.5 175.3 142.8 100.8 119.9 140.6 117.8 100.6

7.2702 7.3531 5.4805 4.1070 7.1672 6.8316 5.5387 5.9938 1.2978 7.2536 5.5302 8.3749 6.7875 6.4470 9.4425 11.1061 1.2158 10.6164 7.0445 0.9594 13.4192 7.0169 15.7116 12.3008 12.2097 11.0378 16.7417 18.2033 22.6382 0.7433 9.1198 5.9402 0.9432 8.7691 8.2800

aSchott glass designations. Similar glasses are available from other sources.

© 2003 by CRC Press LLC

A+

B 2

2

λ - λ0 B (10–19 m2 rad/T) 1.3333 1.2647 1.2695 1.6842 1.5350 1.5282 2.1116 2.2601 3.8205 1.9887 2.1438 1.2103 1.8439 1.0542 3.4867 4.0872 1.2041 4.3176 0.5728 0.9845 5.4231 5.7546 6.3430 4.9536 5.8514 5.8444 6.7168 7.7697 6.8410 37.1043 1.4464 0.0959 1.0387 2.8597 1.7067

Section 2: Glasses

247

Verdet Constants V of Noncommercial Diamagnetic Glasses Glass

Composition

type

(wt %)

V (rad/(m T), wavelength (nm) 442

633

700

853

–

–

B2 O3

100 B2O3

–

3.77

Bi2O3

95 Bi2O3, 5 B2O3

–

–

25.0

PbO

95 PbO, 5 B2O3 82 PbO, 18 SiO2 50 PbO, 15 K2O, 35 SiO2

– – –

– – –

Tl2O

95 Tl2O, 5 B2O3 82 Tl2O, 18 SiO2 50 Tl2O, 15 K2O

– – –

SnO

76 SnO, 13 B2O3, 11 SiO2

CdO

1060

Ref.

–

2

14.8

9.6

3

27.1 22.3 9.3

17.8 13.1 5.8

9.1 7.9 3.1

3 3 3

– – –

26.7 29.1 10.5

17.8 19.5 6.5

9.3 12.6 3.5

3 3 3

–

–

20.6

13.4

7.5

3

47.5 CdO, 52.5 P2O5

9.6

6.5

–

–

–

4

ZnO

36.4 ZnO, 63.6 P2O5

12.7

5.8

–

–

–

4

TeO2

75 TeO2, 25 Sb2O3 88.9 TeO2, 11.1 P2O5 80 TeO2, 20 ZnCl2 84 TeO2, 16 BaO 70 TeO2, 30 WO3 20 TeO2, 80 PbO

– 57.1 – – – –

– 22.2 – – – –

22.2 – 21.3 16.2 15.2 37.2

15.2 – 13.4 11.9 10.1 21.8

9.3 6.5 7.3 8.4 6.5 14.0

3 3 3 3 3 3

Sb2O3

25 Sb2O3, 75 TeO2 – – 75 Sb2O3, 20 Cs2O, 5 Al2O3 75 Sb2O3, 10 Cs2O, 10 Rb2O, 5 Al2O3

– – –

22.2 21.5 22.7

15.2 12.7 15.2

9.3 7.3 8.7

3 3 3

ZrF4

63.1 ZrF4, 14.9 BaF2, 7.2LaF3, 1.9 AlF3, 9.1 PbF2, 3.8 LiF

3.1

–

–

–

2

V (rad/(m T), wavelength (nm) Chalcogenide glasses

500

633

700

1000

Ref.

As2S3

–

0.28

0.21

0.081

5,6

As20S80

0.22

0.12

0.093

As2Se3

–

–

–

0.110

6

As40 S57 Se3

–

0.31

0.23

6

Ge20 As20S60

–

0.20

0.155

6

© 2003 by CRC Press LLC

6

248

Handbook of Optical Materials Verdet Constants of SiO2

λ(nm)

V (rad/T m)

254 410 436

29.8 11.0 7.68 8.38 8.12

Ref.

λ(nm)

7 8 9 10 11

500 578 620 633

V (rad/T m) 7.2 4.35 4.40 4.5 3.67

Ref. 8 9 11 8 11,12

Wavelength Dependence of Verdet Constants (300 K) Glass type

435.8 nm

SF 59 SF 58 SF 57 SF 6 SF 1 SF 5 SF 2 F2 BK 7

69.8 63.1 52.4 45.1 34.9 29.7 27.1 24.2 9.6

V (rad/(m T)) 546.1 nm 632.8 nm 37.2 34.3 28.8 25.3 19.8 16.9 15.4 13.7 5.8

25.9 23.9 20.1 17.6 13.7 11.9 11.1 9.9 4.1

1060 nm 8.1 7.6 6.7 6.1 4.9 4.1 3.8 3.5 1.7

From Schott Optical Glass, Technical Information Optical Glass, Tl. No. 11.

Temperature Dependence of the Faraday Effect in Several Glasses13,14

1 d (VL ) (VL ) 0 dT

1 dV V0 dT Glass

V (rad/(m T)

Theory (10–4/K)

Experiment –4 (10 /K)

Experiment –4 (10 /K)

α –6 (10 /K)

SF-57 SiO2 BK-7

21.8 3.7 4.9

1.29 0.81 0.56

1.26 ± 0.08 0.69 ± 0.03 0.63 ± 0.06

1.35 ± 0.08 0.69 ± 0.03 0.71 ± 0.06

9.2 0.55 8.3

Values for 633 nm.

References: 1. 2. 3. 4.

5. 6.

Faraday effect in optical glass–the wavelength dependence of the Verdet constant, Tech. Information No. 17, Schott Glaswerke, Postfach 2480, D-6500 Mainz, Germany. Pye, L. D., Cherukuri, S. C., Mansfield, J., and Loretz, T., The Faraday rotation in some noncrystalline fluorides, J. Non-Cryst. Solids, 56, 99 (1983). Borelli, N. F., Faraday rotation in glasses, J. Chem. Phys. 41, 3289 (1964). Weber, M. J., Faraday Rotator Materials, Lawrence Livermore Laboratory Report M-103 (1982) and Faraday rotator materials for laser systems, Proc. Soc. Photo Opt. Instrum. Eng. 681, 75 (1986). R o b in so n , C . C ., T h e F arad ay ro tatio n o f d iam ag n etic g lasses fro m 0 .3 3 4 µ to 1 .9 µ, Appl. Opt. 3, 1163 (1964). Qui, J., Kanbara, H., Nasu, H. and Hirao, K., J. Ceram. Soc. Jpn. 106, 228 (1998).

© 2003 by CRC Press LLC

Section 2: Glasses 7. 8. 9. 10. 11. 12. 13. 14.

249

Dexter, J. L., Landry, J., Cooper, D. G., and Reintjes, J., Opt. Commun. 80, 115 (1990). Khalilov, V. Kh., Malyshkin, S. F., Amosov, A. V., Kondratev, Yu. N., and Grigoreva, L. Z., Faraday effect in crystalline and vitreous SiO2, Opt. Spectrosc. 38, 665 (1975). Ramaseshan, S., Determination of the magneto-optic anomaly of some glasses, Proc. Ind. Acad. Sci. A, 24, 426 (1946). Herlack, F., Knoepfel, H., Luppi, R., and Van Montfoort, J. E., Proceedings of the Conference on Megagaus Magnetic Field Generation by Explosives and Related Experiments (1965). Garn, W. B., Caird, R. S., Fowler, C. M., and Thomson, D. B., Measurement of Faraday rotation in megagauss fields over the continuous visible spectrum, Rev. Sci. Instrum. 39, 1313 (1968). George, N., Waniek, R. W., and Lee, S. W., Faraday effect at optical frequencies in strong magnetic fields, Appl. Opt. 4, 253 (1965). Faraday effect in optical glass—the wavelength dependence of the Verdet constant, Tech. Information No. 17, Schott Glaswerke, Postfach 2480, D-6500 Mainz, Gemany. Williams, P.A., Rose, A. H., Day, G. W., Milner, T. E., and Deeter, M. N., Temperature dependence of the Verdet constant in several diamagnetic glasses, Appl. Opt. 30, 1176 (1991).

2.7.2 Paramagnetic Glasses Verdet Constants V of Paramagnetic Glasses (295 K) Rare earth ion Host glass Ce

Ion conc. (1021/cm3)

V (rad/(m T), wavelength (nm) 400

500

633

700

1064

Ref.

3+

aluminoborate phosphate silicophosphate

8.33 6 4.8

– –196(a) –169

– –94.9 –

–64 –50.3(b) 39.9

– –38.4 –

– – –9.0

1 2 3

Pr3+ aluminoborate borate lanthanum borate metaphosphate phosphate silicate

6.64 9.2 5.0 3.32 5.3 3.79

–178 – –111(a) – –130 –

– – –64.0 –125(c) –76.0 –

– – – –39.6(b) –43.7(b) –)

– –59.1 – – –35.8 –20.9

– –17.5 – –12.3 – –7.9

3 4 5 6 1 4

Eu3+ aluminoborate

4.1

–343

–86.7

–32.9(d)

–26.5

Tb3+ aluminosilicate fluoroberyllate fluorophosphate lanthanum borate phosphate

6.6 2.92 4.72 5.5 5.4

– – – –149(a) –163(a)

– –25.2(c) –52.4(c) –83.8 –94.0

–73.6 –10.7 –23.3 –48.6(b) –55.3(b)

– – – – –43.6

–20.1 –2.9 –5.4 – –

8 6 6 5 2

Dy3+ aluminoborate borate phosphate silicate

8.6 5.8 6.2 3.46

–271 –127(a) –157(a) –

– –79.4 –96.3 –

–70.1 –46.3(b) –57.3(b) –

– – –46.3 –19.5

– – – –9.3

3 5 2 4

(a)

405 nm, (b) 635 nm, (c) 442 nm, (d) 650 nm.

© 2003 by CRC Press LLC

7

250

Handbook of Optical Materials Verdet Constants of Commercial Paramagnetic Glasses (295 K) V (rad/(m T), wavelength (nm)

Glass type Hoya FR-4 (discontinued) (cerium phosphate)

325

442

532

633

1064

Ref.

–

–82.6

–

–30.5

–8.4

9

–444

–174

–

–71.0

–20.6

9

–

–82.3

–

–34.9

–9.6

6

–

–

–74.8

–

–20.6

10

–

–

–88.2

–

–26.1

10

–

–

–98.4

–

–29.0

10

–273

–98

—

–41.9

–11.9

6

–

–

–

–

–11

6

Hoya FR-5 (terbium borosilicate) Hoya FR-7 (terbium fluorophosphate) Kigre M-18 (terbium boroaluminosilicate) Kigre M-24 (terbium boroaluminosilicate) Kigre M-32 (terbium boroaluminosilicate) Ownes-Illinois EY-1 (discontinued) (terbium silicate) Ownes-Illinois EY-2(discontinued) (terbium silicate)

References: 1. 2.

Asahara, Y. and Izumitani, T., Proc. 1968 Meeting, Ceramic Assoc. of Jpn. A10 (1968). Berger, S. B., Rubenstein, C. B., Kurkjian, C. R., and Treptow, A. W., Faraday rotation of rareearth (III) phosphate glasses, Phys. Rev. 133, A723 (1964). 3. Petrovskii, G. T., Edelman, I. S., Zarubina, T. V. et al., J. Non-Cryst. Solids 130, 35 (1991). 4. Borrelli, N. F., J. Faraday rotation in glasses, Chem. Phys. 41, 3289 (1964). 5. Rubenstein, C. B., Berger, S. B., Van Uitert, L. G., and Bonner, W. A., Faraday rotation of rareearth (III) borate glasses, J. Appl. Phys. 35, 2338 (1964). 6 . Web er, M. J. , Faraday Rotator Materials, Lawrence Livermore Laboratory Report M-103 (1982) and F arad ay ro ta to r m aterials fo r laser sy stem s, P ro c. S o c. P h o to O p t. In stru m . E n g . 6 8 1 , 7 5 (1 9 8 6 ). 7. Shafer, M. W., and Suits, J., Preparation and Faraday rotation of divalent europium glasses, J. Am. Ceram. Soc. 49, 261 (1966). 8. Ballato, J. and Snitzer, E., Fabrication of fibers with high rare-earth concentration for Faraday isolator applications, Appl. Opt. 34, 6848 (1995). 9. Data sheets, Hoya, Inc. 10. Data sheets, Kigre, Inc.

© 2003 by CRC Press LLC

Section 2: Glasses

251

2.8 Electrooptic Properties Electric-field-induced birefringence, the DC electrooptic Kerr effect, is given by 2

n = n – n⊥ = λBE ,

n = n|| - n⊥

where λ is the wavelength in centimeters, E is the applied electric field strength in volts per centimeter, n and n⊥ are the refractive indices in the directions parallel and perpendicular to the electric field, and B is the Kerr constant in centimeters per volt squared. In terms of the third-order nonlinear susceptibilities [in electrostatic units (esu )], χeff(–ω,ω,0,0) = χ

(3) 1111

–χ

(3)

1122 =

4

(9λBn/24π) 10 .

A positive electrooptic constant is obtained when the induced index change in the direction of the applied field is larger than the induced index change for the perpendicular direction. A negative sign for B implies that the major effect is a large decrease in the refractive index in the direction of the electric field. DC Electrooptic Kerr Constants

1,2

nD

ε

B(10–14 m/V2)

Commercial glasses: Schott Schott Schott Schott Schott

SF 6 SF 57 SF 58 SF 59 LASF 7

1.805 1.847 1.918 1.962 1.850

15.7 16 18 23 19

Corning Corning Corning Corning Corning Corning

8310 8363 8391 8393 8427 8463

– 1.94 – – – 1.97

– 20 – – – –

0.07 0.2 0.06 0.08 0.09 0.36

2.48

–

8.7

40 SiO2 - 60 PbO

2.06

–

0.38

60 SiO2 - 40 Tl2O

2.0

–

1.10

54 SiO2 - 41 Tl2O - 5 PbO

–

–

0.96

76 SiO2 - 9 Tl2O - 15 K2O

–

–

0.30

73 SiO2 - 14 K2O - 13 Ta2O5

–

–

–0.57

85 TeO2 - 7.5 BaO - 7.5 ZnO

2.17

–

0.7

60 TeO2 - 20 BaO - 20 ZnO

2.02

–

0.5 1.1

Arsenic trisulfide

As2S3

0.08 0.11 0.16 0.30 –0.22

Experimental glasses (mol %):

36 TeO2 - 51 PbO - 12 SiO2

–

–

32 Tl2O - 28 Bi2O3 - 40 GeO2 –

–

1.15

© 2003 by CRC Press LLC

252

Handbook of Optical Materials

DC Electrooptic Kerr Constants1,2—continued ε

nD

B(10–14 m/V2)

57 PbO - 25 Bi2O3 - 18 Ga2O3

2.46

28.4

1.4

34 Nb2O5 - 36 SiO2 - 30 Na2O

–

–

2.80

70 PbO - 12 Ga2O3 - 6 Tl2O - 12 CdO

2.31

21

1.6

57 PbO - 18 Bi2O3 - 18 Ga2O3 - 7 Tl2O

2.30

25.5

1.4

48 PbO - 14 Bi2O3 - 10 Ga2O3 - 14 Tl2O - 14 CdO

2.27

23

1.4

43 SiO2 - 15.5 Li2O - 11.5 K2O - 4 Al2O3 - 31 Ta2O5

1.81

17.4

–0.8

20 SiO2 - 20 B2O3 - 20 Na2O - 20 Na2O - 20 Nb2O5 - 20 TiO2

1.93

15.3

–1.23

41 B2O3 - 10 ZnO - 11 La2O3 - 22 ThO2 - 5Ta2O5 - 11 Nb2O5

1.94

–

–0.18

23 PbO - 22 SiO2 - 11 MgO - 14 BaO - 16 TiO2 - 4 Al2O3 - 8Nb2O5

–

22

–0.4

46 PbO - 42 Bi2O3 - 11 Ga2O3- 9 Tl2O

2.46

29

1.4

46 PbO - 33 Bi2O3 - 12 Ga2O3 - 9 Tl2O

2.31

26

1.2

71.6 PbO - 26.5 SiO2 - 0.5 Na2O - 0.9 K2O - 0.5 As2S3

1.79

16

0.14

66.5 PbO - 28.1 SiO2 - 3.4 TiO2 - 0.5 Na2O - 1.0 K2O - 0.5 As2S3

1.84

16

0

54.2 PbO - 32.0 SiO2 - 11.6 TiO2 - 0.6 Na2O - 1.1 K2O - 0.5 As2S3

1.82

16

-0.22

71.6 PbO - 26.5 SiO2 – 3.4 TiO2 - 0.6 Na2O - 1.2 K2O - 0.5 As2S3

1.86

16

0.25

Measured at 633 nm. References: 1. Hall, D. W. and Borrelli, N. F., Nonlinear optical properties of glasses, Optical Properties of Glass, Kreidl, N. and Uhlmann, D. R., Eds., American Ceramic Society (1991), pp. 87–125. 2. Borrelli, N.F., Aitken, B.G., Newhouse, M.A., and Hall, D.W., Electric-field induced birefringence properties of high refractive under glasses exhibiting large Kerr nonlinearaties, J. Appl. Phys. 70, 2774 (1991). See, also, Borrelli, N.F., Electric field induced birefringence in glass, Phys. Chem. Glass 12, 9 (1971) and Paillette, M., Temperature dependent behavior of the Kerr constant in the vitreous state, J. NonCryst. Solids 91, 253 (1987).

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Section 2: Glasses

253

2.9 Elastooptic Properties The stress optic coefficients are defined as Kp = dnp/dP and Ks = dns/dP, where the ordinary and extraordinary indices of refractive are designated ns and np, respectively, according as the light polarization is perpendicular (s) or parallel ( p) to the pressure vector. The elastooptic coefficients can be calculated from the experimentally determined values of the stress optic coefficients through the relations p11 = 2E[2µKs + (1 – µ)Kp]/[n3(2µ – 1)(µ + 1)] and p12 = 2E[µKp + Ks]/[n3(2µ – 1)(µ + 1)], where E is the elastic modulus and µ is Poisson’s ratio. The elastooptic coefficients for several representative glasses are given below. Elastooptic Coefficients Glass

Wavelength (µm)

p11

p12

p44

Ref.

fused silica (SiO2) tellurite glass As2S3 Ge33Se55As12 LaSF SF4 TaFd7

0.633 0.633 1.15 1.06 0.633 0.633 0.633

0.121 0.257 0.308 0.21 0.088 0.215 0.099

0.270 0.241 0.299 0.21 0.147 0.243 0.138

-0.075 0.0079 0.0045 — -0.030 -0.014 -0.020

1 2 1 1 3 3 3

1. Pinnow, D. A., Elasto-optical materials, CRC Handbook of Lasers, Pressley, R. J., Ed. (The Chemical Rubber Co., Cleveland, OH, 1971). 2. Yano, T., Fukomoto, A., and Watanabe, A., Tellurite glass: a new acousto-optic material, J. Appl. Phys. 42, 3671 (1971). 3. Eschler, H. and Weidinger, F., J. Appl. Phys., 46, 65 (1975).

Two acoustooptic figures of merit, M1 and M2, are: M1i = n7p1i/ρν1 and M2i = n6p1i/ρν31. A compilation of these properties for most of the optical glasses carried in the Schott Optical Glass Catalog is given in Modification of the refractive index of optical glass by tensile and compressive stresses, Schott Technical Information TI No. 20, 4/88 and in Gottlied, M. and Singh, N. B., Elastooptic materials, Handbook of Laser Science and Technology, Suppl. 2: Optical Materials (CRC Press, Boca Raton, FL, 1995), p. 415.

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254

Handbook of Optical Materials Elastooptic Properties of Schott Glasses –Kpa

–Ksa

FK 3 FK 5 FK 51 FK 52 FK 54

1.0 0.9 1.1 1.1 0.8

4.9 3.8 1.8 1.8 1.6

0.15 0.14 0.17 0.16 0.14

0.24 0.23 0.20 0.19 0.17

3 2 2 2 1

7 6 3 3 2

1 1 1 1 0

2 1 1 1 0

PK 1 PK 2 PK 3 PK 50 PK 51A

0.8 0.4 0.5 1.2 1.4

3.9 3.1 3.1 3.4 1.9

0.14 0.11 0.11 0.14 0.16

0.25 0.22 0.21 0.21 0.18

2 1 2 3 3

7 6 6 6 3

0 0 0 1 1

1 1 1 1 1

PSK 2 PSK 3 PSK 50 PSK 52 PSK 53A

0.6 0.8 1.2 1.0 1.5

2.9 3.3 3.1 2.4 2.6

0.13 0.14 0.16 0.14 0.17

0.21 0.23 0.21 0.18 0.20

2 3 3 3 5

6 7 6 5 6

0 0 1 1 1

1 1 1 1 1

BK 1 BK 3 BK 6 BK 7 UBK 7

0.6 0.5 0.4 0.5 0.5

3.4 3.8 2.9 3.3 3.3

0.12 0.12 0.11 0.12 0.12

0.21 0.24 0.20 0.22 0.23

2 2 1 2 2

6 7 5 6 6

0 0 0 0 0

1 1 1 1 1

BK 8 BK 10 BaLK 1 BaLK N3 K3

0.4 0.7 1.4 0.7 1.2

3.1 3.9 4.1 4.0 4.1

0.11 0.13 0.17 0.13 0.16

0.21 0.24 0.26 0.24 0.26

1 2 4 2 3

5 7 9 8 9

0 0 1 0 1

1 1 2 2 2

K4 K5 K7 K 10 K 11

0.8 0.6 0.7 1.4 1.1

3.5 3.7 3.8 4.6 4.1

0.12 0.13 0.12 0.15 0.14

0.21 0.23 0.23 0.26 0.24

2 2 2 3 2

6 7 7 8 7

0 0 0 1 1

1 1 1 2 2

K 50 UK 50 K 51 ZK 1 ZK 5

0.5 0.5 1.0 0.3 0.3

3.7 3.8 4.6 4.0 3.8

0.12 0.13 0.15 0.13 0.12

0.23 0.24 0.27 0.24 0.22

2 2 3 2 2

7 7 9 8 7

0 0 1 0 0

1 1 2 2 2

Glass type

© 2003 by CRC Press LLC

P11

P 12

M11b

M12b

M21c

M22c

Section 2: Glasses

255

Elastooptic Properties of Schott Glasses—continued –Kpa

–Ksa

P11

P 12

M11b

M12b

M21c

M22c

ZK N7 BaK 1 BaK 2 BaK 4 BaK 5

0.3 0.7 1.0 0.5 0.9

3.8 3.2 3.6 3.2 3.6

0.11 0.13 0.14 0.12 0.15

0.23 0.20 0.22 0.21 0.23

2 2 3 2 3

7 6 7 6 7

0 1 1 0 1

1 1 2 1 2

BaK 6 BaK 50 SK 1 SK 2 SK 3

0.8 0.0 0.7 0.8 0.7

3.2 3.0 3.0 3.0 2.6

0.14 0.11 0.13 0.14 0.12

0.21 0.21 0.20 0.20 0.18

3 2 3 3 2

6 6 6 6 5

1 0 1 1 0

1 1 1 1 1

SK 4 SK 5 SK 6 SK 7 SK 8

0.6 0.8 0.7 0.8 0.8

2.5 2.8 3.0 2.6 3.1

0.12 0.14 0.14 0.13 0.14

0.18 0.21 0.20 0.19 0.21

2 3 3 3 3

5 6 6 5 7

0 1 1 1 1

1 1 1 1 2

SK 9 SK 10 SK 11 SK 12 SK 13

0.8 0.8 0.7 0.5 0.9

3.1 2.6 3.2 2.8 3.2

0.14 0.13 0.13 0.11 0.15

0.21 0.19 0.22 0.19 0.22

3 3 2 2 3

7 5 6 5 7

1 1 0 0 1

2 1 1 1 2

SK 14 SK 15 SK 16 SK N18 SK 19

0.8 0.8 1.0 0.5 1.0

2.6 2.7 2.8 2.4 2.8

0.13 0.14 0.16 0.13 0.14

0.19 0.20 0.22 0.19 0.20

3 3 4 3 3

5 6 7 6 6

1 1 1 1 1

1 1 1 1 1

SK 20 SK 51 SK 52 SK 55 KF 1

0.6 1.1 0.0 0.2 1.3

3.0 2.7 2.3 2.2 4.3

0.12 0.15 0.10 0.10 0.16

0.20 0.20 0.18 0.17 0.25

2 4 2 1 3

5 6 5 4 9

0 1 0 0 1

1 1 1 1 2

KF 3 KF 6 KF 9 KF 50 BaLF 3

0.8 1.2 1.4 1.1 0.8

3.8 4.1 4.5 4.3 3.9

0.13 0.14 0.16 0.14 0.15

0.22 0.23 0.25 0.23 0.24

2 2 3 3 3

6 7 9 8 8

0 1 1 1 1

1 2 2 2 2

Glass type

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256

Handbook of Optical Materials Elastooptic Properties of Schott Glasses—continued –Kpa

–Ksa

P11

P 12

M11b

M12b

M21c

M22c

BaLF 4 BaLF 5 BaLF 6 BaLF 8 BaLF 50

0.2 0.9 0.4 0.8 0.6

3.3 4.0 3.1 3.7 2.9

0.11 0.14 0.11 0.12 0.12

0.20 0.23 0.19 0.21 0.19

2 3 2 2 2

6 7 6 6 5

0 1 0 1 0

1 2 1 2 1

BaLF 51 SSK 1 SSK 2 SSK 3 SSK 4

0.9 0.9 1.2 0.9 0.8

3.3 3.1 3.4 3.2 2.9

0.13 0.14 0.16 0.14 0.13

0.21 0.21 0.22 0.20 0.20

3 3 4 3 3

6 7 8 6 6

1 1 1 1 1

1 2 2 2 1

SSK N5 SSK N8 SSK 50 SSK 51 SSK 52

0.5 0.7 0.9 1.1 –

2.3 3.1 2.7 3.3 –

0.11 0.13 0.14 0.16 –

0.17 0.21 0.19 0.23 –

2 3 3 4 –

5 7 6 8 –

0 1 1 1 –

1 1 1 2 –

LaK N6 LaK .N7 LaK 8 LaK 9 LaK 10

1.0 0.6 0.1 0.3 0.1

2.6 2.1 1.9 2.0 2.0

0.15 0.11 0.10 0.11 0.10

0.20 0.16 0.16 0.17 0.16

3 2 2 2 2

6 4 5 5 5

1 0 0 0 0

1 1 1 1 1

LaK 11 LaK N12 LaK L12 LaK N13 LaK N14

0.5 0.8 0.0 1.2 0.2

2.3 2.3 1.6 2.5 2.0

0.12 0.13 0.07 0.15 0.10

0.17 0.17 0.13 0.19 0.17

2 3 1 4 2

5 5 3 6 5

0 1 0 1 0

1 1 0 1 1

LaK 16A LaK 21 LaK L21 LaK N22 LaK 23

– 0.1 1.0 0.0 0.7 0.7

1.8 2.8 2.0 2.5 2.2

0.08 0.16 0.09 0.13 0.12

0.15 0.22 0.17 0.18 0.16

1 4 1 3 2

4 7 5 5 4

0 1 0 1 1

1 1 1 1 1

0.2 0.1 0.3 1.7 1.6

2.0 1.7 1.7 4.7 4.6

0.11 0.09 0.10 0.15 0.15

0.17 0.15 0.15 0.23 0.23

6 4 5 8 8

0 0 0 1 1

1 1 1 2 2

Glass type

LaK 28 LaK 31 LaK 33 LLF 1 LLF 2

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2 1 2 3 3

Section 2: Glasses

257

Elastooptic Properties of Schott Glasses—continued –Kpa

–Ksa

P11

P 12

M11b

LLF 3 LLF 4 LLF 6 LLF 7 BaF 3

1.4 1.5 1.5 1.5 0.8

4.2 4.5 4.7 4.6 3.8

0.15 0.15 0.15 0.14 0.12

0.23 0.24 0.25 0.23 0.20

3 4 3 3 2

8 9 8 8 6

1 1 1 1 1

2 2 2 2 2

BaF 4 BaF 5 BaF N6 BaF 8 BaF 9

1.3 1.3 1.3 0.8 0.8

3.9 4.0 3.8 3.1 2.9

0.14 0.17 0.16 0.12 0.13

0.21 0.24 0.24 0.19 0.19

3 4 4 3 3

7 9 9 6 6

1 1 1 1 1

2 2 2 1 1

BaF N10 BaF N11 BaF 12 BaF 13 BaF 50

0.7 0.4 0.7 1.1 0.9

2.7 2.3 2.9 2.9 2.7

0.14 0.11 0.12 0.15 0.14

0.20 0.16 0.19 0.20 0.19

3 2 3 4 3

7 5 6 7 7

1 0 1 1 1

1 1 1 2 1

BaF 51 BaF 52 BaF 53 BaF 54 LF 1

0.2 0.8 0.3 0.5 1.9

2.4 3.1 2.5 2.3 4.9

0.09 0.12 0.10 0.11 0.17

0.16 0.19 0.17 0.16 0.24

2 3 2 2 4

5 6 5 5 9

0 1 0 0 1

1 1 1 1 3

LF 2 LF 3 LF 4 LF 5 LF 6

1.9 1.8 1.5 2.3 1.9

4.6 4.6 4.6 5.2 4.8

0.16 0.16 0.14 0.18 0.16

0.23 0.23 0.22 0.25 0.23

4 4 3 6 4

9 9 8 11 9

1 1 1 2 1

3 3 2 3 3

LF 7 LF 8 F1 F2 F3

2.2 2.1 2.7 2.4 2.3

5.3 5.1 5.4 5.2 5.2

0.18 0.18 0.18 0.17 0.17

0.25 0.25 0.23 0.23 0.23

5 5 6 5 5

10 10 11 10 10

2 1 2 2 2

3 3 4 3 3

F4 F5 F6 F7 F8

2.3 2.0 2.6 2.7 1.8

5.2 4.9 5.1 5.6 4.9

0.16 0.15 0.17 0.19 0.16

0.22 0.22 0.22 0.25 0.23

5 4 6 7 4

9 9 10 12 9

2 1 2 2 1

3 3 3 4 3

Glass type

© 2003 by CRC Press LLC

M12b

M21c

M22c

258

Handbook of Optical Materials Elastooptic Properties of Schott Glasses—continued –Kpa

–Ksa

P11

P 12

M11b

F9 F N11 F 13 F 14 F 15

2.0 0.3 2.9 1.9 2.4

4.7 3.4 5.8 4.9 5.3

0.16 0.10 0.19 0.15 0.17

0.23 0.20 0.25 0.22 0.24

5 2 7 4 5

9 7 12 9 10

1 0 2 1 2

3 1 4 3 3

BaSF 1 BaSF 2 BaSF 5 BaSF 6 BaSF 10

1.4 1.7 1.8 1.2 1.6

4.1 4.1 4.2 3.2 3.8

0.14 0.15 0.15 0.15 0.15

0.20 0.20 0.21 0.20 0.21

3 4 4 4 4

7 8 8 8 8

1 1 1 1 1

2 3 2 2 2

BaSF 12 BaSF 13 BaSF 14 BaSF 50 BaSF 51

1.4 1.1 1.8 0.9 0.6

3.5 2.9 3.8 3.1 2.8

0.15 0.13 0.17 0.13 0.12

0.20 0.18 0.22 0.19 0.17

4 4 6 4 3

8 7 10 7 6

1 1 2 1 1

2 2 3 2 1

BaSF 52 BaSF 54 BaSF 55 BaSF 56 BaSF 57

0.3 2.5 1.3 1.9 1.2

2.6 3.9 3.5 4.3 3.2

0.11 0.18 0.15 0.17 0.14

0.17 0.21 0.20 0.22 0.19

2 8 5 5 3

6 11 8 10 7

0 2 1 2 1

1 3 2 3 2

BaSF 64 LaF 2 LaF 3 LaF N7 LaF N8

– 0.1 0.7 0.6 1.2 0.2

2.4 2.2 2.1 2.9 2.2

0.09 0.11 0.11 0.13 0.10

0.17 0.15 0.15 0.17 0.16

1 3 2 4 2

6 5 5 7 5

0 1 0 1 0

1 1 1 2 1

LaF 9 LaF N10 LaF 11A LaF 13 LaF 20

3.5 0.2 2.6 1.2 0.8

4.3 1.9 4.1 2.6 2.6

0.19 0.10 0.18 0.15 0.14

0.21 0.15 0.21 0.18 0.19

11 2 8 5 3

13 5 11 8 7

4 0 2 1 1

4 1 3 2 1

LaF N21 LaF 22A LaF N23 LaF N24 LaF 25

0.1 0.5 1.2 – 0.2 – 0.5

1.4 2.0 2.8 1.6 1.6

0.07 0.09 0.15 0.06 0.05

0.12 0.14 0.19 0.13 0.11

1 2 4 1 0

3 4 7 3 3

0 0 1 0 0

0 1 2 0 0

Glass type

© 2003 by CRC Press LLC

M12b

M21c

M22c

Section 2: Glasses

259

Elastooptic Properties of Schott Glasses—continued –Ksa

P11

P 12

M11b

0.1 0.1 0.0 2.0 0.3

2.1 1.4 1.8 3.5 2.1

0.09 0.07 0.08 0.17 0.09

0.14 0.12 0.14 0.21 0.14

2 1 2 8 2

4 3 5 12 6

0 0 0 2 0

1 0 1 3 1

0.3 0.3 0.3 0.6 – 0.1

1.5 1.6 1.7 1.7 2.3

0.08 0.08 0.10 0.10 0.07

0.11 0.11 0.14 0.14 0.14

2 2 2 3 1

4 4 5 5 6

0 0 0 1 0

1 1 1 1 1

LaSF 33 SF 1 SF 2 SF 3 SF 4

0.7 4.5 3.3 4.4 4.6

2.5 6.2 5.9 6.0 5.9

0.11 0.22 0.19 0.20 0.20

0.16 0.25 0.25 0.23 0.23

3 12 8 11 12

7 16 13 15 15

1 5 3 5 5

1 6 5 6 6

SF 5 SF 6 SF L6 SF 7 SF 8

3.1 6.0 0.2 2.7 3.6

5.4 6.8 3.0 5.5 5.9

0.18 0.24 0.09 0.17 0.19

0.22 0.25 0.16 0.23 0.24

7 19 3 6 9

11 21 8 11 13

3 8 0 2 3

4 9 1 4 5

SF 9 SF 10 SF 11 SF 12 SF 13

3.2 3.6 3.8 2.8 3.3

5.8 5.6 5.0 5.3 5.2

0.20 0.20 0.19 0.18 0.18

0.25 0.24 0.21 0.24 0.22

8 10 10 7 9

13 15 13 12 13

3 3 4 2 3

5 5 5 4 4

SF 14 SF 15 SF 16 SF 17 SF 18

3.8 3.0 3.3 3.3 4.1

5.4 5.1 6.0 6.1 5.9

0.20 0.18 0.20 0.20 0.20

0.23 0.22 0.25 0.25 0.23

11 7 8 8 11

15 11 13 13 14

4 3 3 3 4

5 4 5 5 6

SF 19 SF 50 SF 51 SF 52 SF 53

3.1 – 2.3 3.5 3.8

5.5 – 4.7 5.7 5.4

0.18 – 0.16 0.20 0.19

0.23 – 0.21 0.24 0.22

7 – 5 9 10

12 – 9 14 13

3 – 2 3 4

4 – 3 5 5

Glass type

–Kpa

LaF 26 LaF N28 LaSF 3 LaSF 8 LaSF N9 LaSF N15 LaSF N18 LaSF N30 LaSF N31 LaSF 32

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M12b

M21c

M22c

260

Handbook of Optical Materials Elastooptic Properties of Schott Glasses—continued –Kpa

–Ksa

P11

P 12

M11b

SF 54 SF 55 SF 56 SF L56 SF 57

4.7 4.3 4.8 0.0 6.7

6.4 5.7 5.8 2.8 6.7

0.22 0.20 0.21 0.07 0.23

0.26 0.22 0.22 0.15 0.23

14 11 13 2 20

18 14 16 6 20

5 5 5 0 9

7 6 6 1 9

SF 58 SF 59 SF 61 SF 62 SF 63

8.2 9.0 4.5 3.5 4.2

7.2 7.6 6.0 5.8 5.8

0.24 0.25 0.21 0.19 0.20

0.23 0.24 0.23 0.24 0.22

29 34 12 8 11

26 30 15 13 14

14 17 5 3 4

13 15 6 5 6

SF N64 TiK 1 TiF 1 TiF 2 TiF 3

0.2 2.3 1.1 1.1 1.1

3.1 6.1 4.2 4.5 4.4

0.10 0.19 0.15 0.15 0.15

0.18 0.27 0.23 0.25 0.24

2 5 3 4 4

8 10 7 9 9

0 2 1 1 1

1 3 2 2 2

TiF 4 TiF N5 TiF 6 KzF N1 KzF N2

0.9 0.6 0.7 1.0 1.3

4.2 3.9 3.0 4.2 5.0

0.14 0.12 0.11 0.13 0.14

0.23 0.21 0.16 0.21 0.24

3 3 2 3 3

9 8 5 7 9

1 1 0 1 1

2 2 1 2 2

KzF 6 KzFS1 KzFS N2 KzFS N4 KzFS N5

1.7 1.0 0.1 0.6 0.7

5.8 4.2 3.8 3.8 3.4

0.16 0.15 0.12 0.13 0.12

0.26 0.21 0.23 0.20 0.18

4 4 2 3 3

10 8 8 7 7

1 1 0 1 1

3 2 2 2 2

KzFS 6 KzFS N7 KzFS 8 KzFS N9 LgSK 2

0.6 0.6 1.5 0.4 1.1

4.0 3.1 3.7 3.5 2.2

0.14 0.12 0.15 0.12 0.15

0.22 0.18 0.20 0.20 0.18

3 3 5 2 3

8 7 9 7 4

1 1 1 1 1

2 1 2 2 1

Glass type

a 10–6 mm2/N;

b

© 2003 by CRC Press LLC

10–7 cm2 s/g; c 10–18 s3/g.

M12b

M21c

M22c

Section 2: Glasses

261

2.10 Nonlinear Optical Properties 2.10.1 Nonlinear Refractive Index* Nonlinear refraction is commonly defined either in terms of the optical field intensity I n = n0 + γI or in terms of the average of the square of the optical electric field <E2> n = n0 + n2 <E2>, where n0 is the ordinary linear refractive index, γ is the nonlinear refractive coefficient, and n0 is the nonlinear refractive index. The conversion between n2 and γ is given by n2[cm3/erg] = (cn0/40π) γ[m2/W] = 238.7 n0 γ[cm2/W], where c is the speed(in m/s) of light in vacuum. In terms of third-order susceptibility tensor χ(3)(−ω,ω,ω,−ω) of a medium, the nonlinear refractive indices for a linearly polarized wave and for a circularly polarized wave in an isotropic material are n2(LP) = (12π/n0) χ(3)1111(−ω,ω,ω,−ω) and n2(CP) = (24π/n0) χ(3)1122(−ω,ω,ω,−ω). The two-photon absorption coefficient β is proportional to the corresponding imaginary part of χ(3)(–ω,ω,ω,–ω). The relationship between n2, β, and χ(3) is analogous to the relationship between n0, the linear absorption coefficient α, and the linear susceptibility χ. The nonlinear refractive index is not a unique quantity for a given material because a number of physical mechanisms contribute to the polarization that is cubic in the applied optical electric field. The mechanisms that contribute most strongly to n2 , and their characteristic time scales (in parentheses) are bound electrons (10–15 s), optically created free carriers (>10–12 s), Raman-active optical phonons (10–12 s), electrostriction (>10–9 s), and thermal excitation (~10–9 s). Several methods listed below have been employed to measure n2. The details of the measurements determine the relative contributions from the various possible physical mechanisms to the measured n2. In general, experiments done with picosecond pulses and nondegenerate mixing are less likely to be affected by the “slow” electrostrictive or thermal effects than those done in the nanosecond pulse regime and with degenerate mixing. Most of the measurements include the effects of both electronic and vibrational (Raman) contributions to n2. In the following tables values of the parameters in parentheses were calculated by Chase and Van Stryland1 from the quantities reported in the original references. Refractive indices in parentheses were obtained from extrapolation of available data. For noncubic crystals, or for cubic crystals where the polarization is not along a cube axis or is not specified in the original reference, the value tabulated for χ(3)1111 is an effective value of χ(3). * This section was adapted from Chase, L. L., and Van Stryland, E. W., Nonlinear refractive index: inorganic materials, Handbook of Laser Science and Technology, Suppl. 2: Optical Materials (CRC Press, Boca Raton, FL, 1995), p. 269. © 2003 by CRC Press LLC

Techniques for Measuring the Nonlinear Refractive Index Method DFWM DTLC ER NDFWM OKE PDF RSS SPM SSMG TII TRI TWM TWR

Ref.

Degenerate four-wave mixing Damage threshold for linear vs. circular polarization Ellipse rotation Non-degenerate four-wave mixing Optical Kerr effect Power-dependent focus Raman scattering spectroscopy Self-phase modulation Small-scale modulation growth Time-integrated interferometry Time-resolved interferometry Three-wave mixing Temporal waveform reshaping

2 3 4 5, 6 7 8 9 10 11 12 13 5 14

Boling, Glass, and Owyoung15 derived an empirical formula relating n2 at wavelengths much longer than the interband absorption to the linear refractive index and its dispersion. This formula for estimating n2 is accurate to within about 25% for a wide range of crystals and glasses.6,16 The equation is generally not applicable to chalcogenide glasses. Lines of constant n2 predicted from this equation are plotted as a function of nd and νd in the figure below and are superimposed on regions of known oxide and fluoride glasses.

2.0

Oxide glasses

Refractive index nd

1.8

20 Fluoride glasses

1.6

10

5

SiO2

1.4

3 2

1.2

© 2003 by CRC Press LLC

n2 (10–20 m2/W)

1

BeF2 100

80

60 Abbe number υd

40

20

Measured Nonlinear Refractive Parameters of Glasses Glass

Refractive

χ1111

n2,LP

γLP

(nm)

index

(10–13 cm3erg)

(10–13 cm3erg)

(10–16 cm2/W)

3 0.15 3 3 20 20 0.125 0.17 3 12. 20 0.15 3 3 3 3 3 0.125 0.125 0.125 3 0.09 0.09 0.09

1064 1064 1064 1064 1064 694 1064 355 560,590 694 1064 1064 1064 1064 1064 1064 1064 1064 1064 1064 1064 1064 1064 1064

(1.6637) 1.28 (1.606) (1.5168) 1.51 1.52 1.52 1.50 1.51 (1.50) 1.73 1.34 (1.4899) (1.4372) (1.4423) (1.4511) (1.4364) 1.49 1.49 1.49 (1.5314) 2.48 2.30 1.84

(.116) (0.0078) (0.080) (0.052) (1.150) (0.056) (0.050) (0.024) (0.092) (0.080) (0.38) (0.012) (0.032) (0.023) (0.027) (0.026) (0.025) (0.028) (0.027) (0.042) (0.049) 4.2 0.8 0.48

2.64 0.26 1.88 1.30 1.24 1.4 1.24 0.6 2.3 2.0 8.3 0.33 0.80 0.61 0.70 0.68 0.65 0.71 0.69 1.07 1.21 (227) (15.7) (9.66)

(6.6) (0.75) (4.9) (3.59) (3.44) (3.86) 3.43 1.7 (6.4) (5.6) (20.) (1.0) (2.25) (1.78) (2.03) (1.96) (1.90) 2.0 1.94 3.01 (3.31) (383) (29) (22)

Ref. 16 17 16 16 3a 19b 13 20 5 21 3 17 16 16 16 16 16 21 13 13 16 22 22 77

263

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NDFWM TRI NDFWM NDFWM DTLC ER TRI TRI TWM TWR DTLC TRI NDFWM NDFWM NDFWM NDFWM NDFWM TRI TRI TRI NDFWM DFWM DFWM DFWM

Wavelength

length (ns)

Section 2: Glasses

Aluminate L-65 Beryllium fluoride Borate L-109 Borosilicate BK-7 Borosilicate 517 Borosilicate BK-7 Borosilicate BK-7 Borosilicate BK-10 Borosilicate BSC Borosilicate BSC-2 Flint SF-55 Fluoroberyllate:Nd Fluorophosphate E-115 Fluorophosphate E-131 Fluorophosphate E-132 Fluorophosphate E-133 Fluorophosphate K-1172 Fluorophosphate A86-82 Fluorophosphate FK-51 Fluorosilicate FC-5 Fluorozirconate 9028 Gallate “RN” Germanate Q-5 Germanate VIR-3

Method

Pulse

264

Measured Nonlinear Refractive Parameters of Glasses—continued

Phosphate:Ce FR-4 Phosphate EV-1 Phosphate LHG-5 Phosphate:Nd LHG-5 Phosphate LHG-6 Posphate:Nd LHG-6 Phosphate:Nd LHG-5 Phosphate:Nd LHG-6 Phosphate Q-88 Phosphate P-108 Phosphate 5037 Phosphate 5038 Silica (Dynasil 4000) Silica (fiber) Silica (Suprasil II) Silica (Suprasil II) Silica, SiO2 Silica, SiO2 Silica, SiO2 Silica, SiO2 Silica, SiO2 Silica, SiO2 Silica, SiO2 Silica, SiO2

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Wavelength

Refractive

Method

length (ns)

(nm)

Index

χ1111 –13 (10 cm3erg)

TRI TRI NDFWM TRI NDFWM TRI PDF PDF NDFWM NDFWM NDFWM NDFWM TRI SPM TRI SSMG NDFWM OKE TII TII/SPM/SS PDF ER NDFWM DTLC

0.15 0.125 3 0.125 3 0.125 0.030 0.030 3 3 3 3 0.125 ~0.15 0.17 1.1 3 10–4 20 0.004 0.17 13 3 20

(1.56) 1.51 (1.51) 1.54 (1.53) 1.53 1.54 1.53 (1.5449) (1.5312) (1.5772) (1.5915) 1.46 (1.47) 1.50 1.50 (1.46) 1.4519 (1.46) (1.508) (1.489) 1.45 1.46 1.45

(0.081) (0.036) (0.058) (0.047) (0.045) (0.040) (0.061) (0.061) (0.052) (0.052) (0.065) (0.072) (0.037) (0.044) (0.036) (0.024) (0.033) 0.024 0.044 (0.06–0.08) (0.042) (0.039) (0.070) (0.036)

1064 1064 1064 1064 1064 1064 1064 1064 1064 1064 1064 1064 1064 514 355 351 1064 620 1064 249 308 694 560,590 1064

n2,LP –13 (10 cm3erg) 1.95 0.91 1.44 1.16 1.12 1.01 1.5 1.5 1.27 1.28 1.56 1.71 0.95 1.14 0.9 0.6 0.85 0.62 (1.1) 1.5–2.0 (1.07) 1.00 1.8 0.93

γLP –16 (10 cm2/W)

Ref.

(5.2) 2.53 (4.0) 3.15 (3.07) 2.76 (4.1) (4.1) (3.44) (3.50) (4.14) (4.50) 2.73 (3.2) 2.5 1.7 (2.44) (1.80) (3.3) (4.2–5.6) 3.0 (2.88) (5.2) (2.7)

23 24 16 24 19 24 25 25 16 16 16 16 13 10 20 11 16 26 27 28 29 4 5 3a

Handbook of Optical Materials

Glass

Pulse

0.08 0.09 ~1 ~1 3 ~1 10–4 0.08 3 ~1 0.125 0.125 0.15 3 3 0.030 13 3 13 0.15 0.08 0.08 10–4 0.08 3 ~1

1064 1064 1064 1064 647 1064 1064 620 1064 1064 1064 1064 1064 647 1064 1064 560,590 1064 694 1064 694 1064 1064 1064 620 1064 1064 1064

1.56–1.95 1.94 1.50 1.50 1.51 (1.5418) 1.53 1.8050 1.93 (1.57) (1.57) 1.57 1.57 (1.57) (1.57) (1.5714) 1.55 1.55 1.56 (1.6008) 1.61 (1.61) 1.77 1.77 1.8052 1.81

(0.072–0.97) 1.0 (0.073) (0.073) (0.060) (0.063) (0.084) 0.48 (1.16) (0.066) (0.064) (0.059) (0.059) (0.075) (0.063) (0.064) (0.011) (0.086) (0.072) (0.072) (0.088) (0.076) (0.61) (0.39) 0.42 (0.46)

1.75–18.8 (19.4) 1.83 1.83 1.5 1.54 2.08 (10.0) (22.6) 1.58 1.53 1.41 1.41 1.8 1.52 1.53 2.6 2.1 1.73 1.69 2.06 1.77 (13.1) (8.4) (8.77) (9.5) 1.93 1.16

(4.7–40) (42) (5.1) (5.1) (4.2) (4.18) (5.7) (23.) 49 (4.22) (4.1) 3.77 3.77 (4.8) (4.1) (4.08) (7.0) (5.7) (4.6) (4.42) (5.4) (4.6) 31 20 (20) 22

30 22 31 31 9c 16 31 26 2 16 31 21 13 9c 23 16 5 25 4 16 32 3 2 2 26 2 16 34

265

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DFWM DFWM TRI TRI RSS NDFWM TRI OKE DFWM NDFWM TRI TRI TRI RSS TRI NDFWM NDFWM PDF ER NDFWM ER TRI DFWM DFWM OKE DFWM NDFWM PDF

Section 2: Glasses

Silicate (Si-Nb-Ti-Na) Silicate 8463 Silicate C835 Silicate C1020 Silicate C1020 Silicate C-2828 Silicate C2828 Silicate E-0525 Silicate E-1 Silicate ED-2 Silicate ED-2 Silicate ED-2 Silicate ED-2:Nd Silicate ED-2:Nd Silicate ED-2:Nd Silicate ED-3 Silicate ED-4 Silicate ED-4 Silicate ED-4 Silicate ED-8 Silicate EY-1 Silicate EY-1 Silicate FD-6 Silicate FD-60 Silicate FD-60 Silicate FDS-9 Silicate FR-5 Silicate GLS-1

266

Measured Nonlinear Refractive Parameters of Glasses—continued

Silicate La SF30 Silicate LG-650 Silicate K-8 Silicate KGSS-1621 Silicate LGS-247 Silicate LSO Silicate Q-246 Silicate “QR” Silicate SF-56 Silicate SF-57 Silicate SF-57 Silicate SF-58 Silicate SF-58 Silicate SF-59 Silicate SF-59 Silicate SF-6 Silicate SF-6 Silicate SF-6 Silicate SF-7 Silicate:TB FR-5 Silicate ZF-7 Tellurite 3151 Tellurite K-1261

Method OKE NDFWM TII PDF PDF ER NDFWM DFWM DFWM DFWM OKE DFWM DFWM DFWM OKE NDFWM OKE TRI ER TRI TII NDFWM NDFWM

Wavelength

Refractive

length (ns)

(nm)

index

10–4 3 10 ~1 ~1 13 3 0.09 0.08 0.08 10–4 0.09 0.08 0.09 10–4 3 10–4 ~1 20 0.125 3 3

620 1064 694 1064 1064 694 1064 1064 1064 1064 620 1064 1064 1064 620 1064 620 1064 694 1064 532 1064 1064

1.8032 (1.5214)

0.12 (0.058) 1.5

1.51 (1.558) 2.02 1.75 1.81 1.8467 1.88 1.88 1.91 1.9176 (1.77) 1.8052 1.77 1.67

(0.058) (0.054) 1.1 (0.51) (0.85) 0.51 0.52 (1.10) 0.75 0.78 (0.38) 0.45 (0.42) (0.093)

2.05 2.05

(1.31) (1.25)

a total n2; b electronic assumption; c also nuclear/electronic ratio; d low frequency assumption.

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χ1111 –13 (10 cm3erg)

n2,LP –13 (10 cm3erg) (2.51) 1.44 1.07 1.17 1.44 1.31 (20.7) (10.9) (17.7) (10.4) (10.3) (22) (14.6) (15.3) 8.0 (9.40) 9.0 5.9 2.1 0.7 24 23

γLP –16 (10 cm2/W) (5.83) (3.96)

(3.25) (4.0) (3.52) (43) 26 41 (23.6) (23) 49 (32) (33.5) (18.9) (21.8) (21) (15) 5.2 (49) (47)

Ref. 26 16 35 34 34 4 16 22 2 2 26d 22 2 22 26d 16 26d 31 19b 13 35 16 16

Handbook of Optical Materials

Glass

Pulse

Section 2: Glasses

267

References: 1.

2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14.

15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26.

Chase, L. L., and Van Stryland, E. W., Nonlinear refractive index: inorganic materials, in Handbook of Laser Science and Technology, Suppl. 2: Optical Materials (CRC Press, Boca Raton, FL, 1995), p. 269. Friberg, S. R., and Smith, P. W., Nonlinear optical glasses for ultrafast optical switches, IEEE J. Quantum Electron. QE-23, 2089 (1987). Feldman, A., Horowitz, D., and Waxler, R. M., Mechanisms for self-focusing in optical glasses, IEEE J. Quantum Electron. QE-9, 1054 (1973). Owyoung, A., Ellipse rotation studies in laser host materials, IEEE J. Quantum Electron. QE9(11), 1064 (1973). Levenson, M. D., Feasibility of measuring the nonlinear index of refraction by third-order frequency mixing, IEEE J. Quantum Electron. QE-10, 110 (1974). Adair, R., Chase, L. L., and Payne, S. A., Nonlinear refractive index of optical crystals, Phys. Rev. B39, 3337 (1989). Ho, P. P., and Alfano, R. R., Optical Kerr effect in liquids, Phys. Rev. A 20(5), 2170 (1979). Smith, W. L., Bechtel, J. H., and Bloembergen, N., Dielectric-breakdown threshold and nonlinear-refractive-index measurements with picosecond laser pulses, Phys. Rev. B 12, 706 (1975). Yang, T. T., Raman scattering and optical susceptibilities of Nd-doped glasses, Appl. Phys. 11, 167 (1976). Stolen, R. H., and Lin, C., Self-phase-modulation in silica optical fibers, Phys. Rev. A 17(4), 1448 (1978). Smith, W. L., Warren, W. E., Vercimak, C. L., and White, W. T., III, Nonlinear refractive index at 351 nm by direct measurement of small-scale self-focusing, Paper FB4, Digest of Conference on Lasers and Electro Optics (Optical Society of America, Washington, DC, 1983), p. 17. Witte, K. J., Galanti, M., and Volk, R., n 2-Measurements at 1.32 µm of some organic compounds usable as solvents in a saturable absorber for an atomic iodine laser, Opt. Commun. 34(2), 278 (1980). Milam, D., and Weber, M. J., Measurement of nonlinear refractive-index coefficients using time-resolved interferometry: application to optical materials for high-power neodymium laser, J. Appl. Phys. 47(6), 2497 (1976). Hanson, E. G., Shen, Y. R., and Wong, G. K. L., Experimental study of self-focusing in a liquid crystalline medium, Appl. Phys. 14, 65 (1977); Self-focusing: from transient to quasi-steadystate, Opt. Commun. 20(1), 45 (1977); Wong, G. K. L., and Shen, Y. R., Transient self-focusing in a nematic liquid crystal in the isotropic phase, Phys. Rev. Lett. 32(10), 527 (1974). Boling, N. L., Glass, A. J., and Owyoung, A., Empirical relationships for predicting nonlinear refractive index changes in optical solids, IEEE J. Quantum Electron. QE-14, 601 (1978). Adair, R., Chase, L .L., and Payne, S. A., Nonlinear refractive index measurements of glasses using three-wave frequency mixing, J. Opt. Soc. Am. B4, 875 (1987). Weber, M. J., Cline, C. F., Smith, W. L., Milam, D., Heiman, D., and Hellwarth, R. W., Measurements of the electronic and nuclear contributions to the nonlinear refractive index of beryllium fluoride glasses, Appl. Phys. Lett. 32(7), 403 (1978). Owyoung, A., Hellwarth, R. W., and George, N., Intensity-induced changes in optical polarizations in glasses, Phys. Rev. B5(2), 628 (1972). White, W. T., III, Smith, W. L., and Milam, D., Direct measurement of the nonlinear refractive index coefficient γ at 355 nm in fused silica and in BK-10 glass, Opt. Lett. 9, 10 (1984). Newnham, B. E., and DeShazer, L. B., Direct nondestructive measurement of self-focusing in laser glass, NBS Spec. Publ. 356, 113 (1971). Garaev, R. A., Vlasov, D. V., and Korobkin, V. V., Need to allow for slow nonlinearity in measurements of n2, Sov. J. Quantum Electron. 12(1), 100 (1982). Hall, D. W., Newhouse, M. A., Borelli, N. F., Dumbaugh, W. H., and Weidman, D. L., Nonlinear optical susceptibilities of high-index glasses, Appl. Phys. Lett. 54, 1293 (1989). Bliss, E. S., Speck, D. R., and Simmons, W. W., Direct interferometric measurements of the nonlinear refractive index coefficient n2 in laser materials, Appl. Phys. Lett. 25(12), 728 (1974). Milam, D., and Weber, M. J., Nonlinear refractive index coefficient for Nd phosphate laser glasses, IEEE J. Quantum Electron. QE-12, 512 (1976). Smith, W. L., and Bechtel, J. H., Laser-induced breakdown and nonlinear refractive index measurements in phosphate glasses, lanthanum beryllate, and Al2O3, Appl. Phys. Lett. 28, 606 (1976). Thomazeau, I., Etcheparre, J., Grillon, G., and Migus, A., Electronic nonlinear optical susceptibilities of silicate glasses, Opt. Lett. 10, 223 (1985).

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27. 28. 29. 30. 31. 32. 33. 34. 35. 36.

Altshuler, G. B., Barbashev, A. I., Karasev, V. B., Krylov, K. I., Ovchinnikov, V. M., and Sharlai, S. F., Direct measurement of the tensor elements of the nonlinear optical susceptibility of optical materials, Sov. Tech. Phys. Lett. 3(6), 213 (1977). Ross, I. N., Toner, W. C., Hooker, C. J., Barr, J. R. M., and Coffey, I., Nonlinear properties of silica and air for picosecond ultraviolet pulses, J. Mod. Opt. 37, 555 (1990). Kim, Y. P., and Hutchinson, M. H. R., Intensity-induced nonlinear effects in UV window materials, Appl. Phys. B49, 469 (1989). Vogel, E. M., Kosinski, S. G., Krol, D. M., Jackel, J. L., Friberg, S. R., Oliver, M. K., and Powers, J. D., Structural and optical study of silicate glasses for nonlinear optical devices, J. Non-Cryst. Solids 107, 244 (1987). Moran, M. J., She, C. Y., and Carman, R. L., Interferometric measurements of the nonlinear refractive index coefficient relative to CS2 in laser-system-related materials, IEEE J. Quantum Electron. QE-11, 159 (1975). Owyoung, A., Nonlinear refractive index measurements in laser media, NBS Spec. Publ. 387, 12 (1973). Miller, D. A. B., Seaton, C. T., Prise, M. E., and Smith, S. D., Band-gap-resonant nonlinear refraction in III-V semiconductors, Phys. Rev. Lett. 47, 197 (1981). Weaire, D., Wherrett, D. S., Miller, D. A. B., and Smith, S. D., Effect of low-power nonlinear refraction on laser-beam propagation in InSb, Opt. Lett. 4, 331 (1979). Chi, K., Interferometric measurement of nonlinear refractive index of ZF-7 glass, Laser J. (China) 8, 48 (1981). Veduta, A. P., and Kirsanov, B. P., Variation of refractive index of liquids and glasses in a high intensity field of a ruby laser, Sov. Phys. JETP 27, 736 (1968).

2.10.2 Two-Photon Absorption Two-Photon Absorption Data Glass As2S3 As2S3 BK 3 (Schott) BK 7 (Schott) BK 7 (Schott) BK 10 (Schott) BK 10 (Schott) Holmium oxide LG630:Nd (Schott) Silica 7940 (Corning) Silica (Suprasil) Silica (Suprasil) Silica (Suprasil) Silica (Suprasil) Silica (fused) Silica (fused) Silica (fused) Silica (fused) Silica (fused)

Pulse width tp (ns)

Band gap Eg (eV)

2hhω (eV)

~30 30 1.2 1.1, 7 1.2 1.1, 7 1.2 – 0.006 1.1, 7 0.017 0.015 0.015 0.00045 0.0007 ~10 0.008 0.00028 0.004

– 2.3 4.4 3.9 4.0 4.1 4.5 – – 7.8 7.8 7.8 7.8 7.8 7.8 – – 7.8 –

3.56 2.4–3.6 4.67 7.07 4.67 7.07 4.67 4.26–4.32 2.33 7.07 6.99 9.32 9.32 10.0 10.0 12.8 10.0 10.0 10.0

(a) Relative spectrum, (b) Absorption spectrum (30 @ 3.1 eV)

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Index n0(hhω) ~2.58 2.5–2.6 – 1.54 1.52 – – – ~1.6 ~1.6 ~1.6 ~1.6 ~1.6 ~1.6 – ~1.6 ~1.6 ~1.6

2PA coeff. β (cm/GW) 14 (a) 0.0006 0.0060 0.0029 0.0045 0.0004 (b) 0.004 <0.0005 <0.0012 <0.045 0.017 0.058 0.045 0.11 0.08 0.014 0.06

Ref. 1 2 3 4 3 4 3 5 6 4 7 7 8 9 10 11 12 13 14

The preceding table was adapted from Van Stryland, E. W. and Chase, L. L., Two-photon absorption: inorganic materials, in Handbook of Laser Science and Technology, Suppl. 2: Optical Materials (CRC Press, Boca Raton, FL, 1995), p. 299. References: 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14.

Maker, P. D., and Terhune, R. W., Study of optical effects due to an induced polarization third order in the electric field strength, Phys. Rev. 137(3A), A801 (1965). Nasyrov, U., Two-photon absorption spectrum of cyrstalline and glassy As2S3, Sov. Phys. Semicond. 12(6), 720 (1978). White III, W. T., Henesian, M. A., and Weber, M. J., Photothermal-lensing measurements of twophoton absorption and two-photon-induced color centers in borosilicate glasses at 532 nm, J. Opt. Soc. Am. B 2, 1402–1408 (1985). Smith, W. L., Lawrence Livemore National Laboratory, 1981 Laser Program Annual Report, U.C.R.L. - 50021-81, p. 7–23. Munir, Q., Wintner, E., and Schmidt, A. J., Optoacoustic detection of nonlinear absorption in glasses, Opt. Commun. 36(6), 467 (1981). Penzkofer, A., and Kaiser, W., Nonlinear loss in Nd-doped laser glass, Appl. Phys. Lett. 21(9), 427 (1972). Liu, P., Smith, W. L., Lotem, H., Bechtel, J. H., Bloembergen, N., and Adhav, R. S., Absolute two-photon absorption coefficients at 355 and 266 nm, Phys. Rev. B 17(12), 4620 (1978). Liu, P., Yen, R., and Bloembergen, N., Two-photon absorption coefficients in UV window and coating materials, Appl. Opt. 18(7), 1015 (1979). Simon, P., Gerhardt, H., and Szatmari, S., Intensity-dependent loss properties of window materials at 248 nm, Opt. Lett. 14, 1207–1209 (1989). Taylor, A. J., Gibson, R. B., and Roberts, J. P., Two-photon absorption at 248 nm in ultraviolet window materials, Opt. Lett. 13, 814–816 (1988). Devine, R. A. B., Defect creation and two-photon absorption in amorphous SiO2, Phys. Rev. Lett. 62, 340 (1989). Tomie, T., Okuda, I., and Yano, M., Three-photon absorption in CaF2 at 248.5 nm, Appl. Phys. Lett. 55, 325 (1989). Hata, K., Watanabe, M., and Watanabe, S., Nonlinear processes in UV optical materials at 248 nm, Appl. Phys. B 50, 55–59 (1990). Ross, I. N., Toner, W. T. Hooker, C. J., Barr, J. R. M., and Coffey, I. C., Nonlinear properties of silica and air for picosecond pulses, J. Modern Opt. 37, 555–573 (1990).

2.10.3 Third-Order Nonlinear Optical Coefficients Glass BK–7 Borosilicate ED–4 glass K-8 LaSF–7 LSO-glass SF–7 Silica, SiO2

TF–7

Nonlinear optical process (−ω; ω, ω, −ω) (−2ω1+ ω2; ω1, ω1, −ω2) (−2ω1+ ω2; ω1, ω1, −ω2) (−ω; ω, ω, −ω) (−ω; ω, ω, −ω) (−ω; ω, ω, −ω) (−ω; ω, ω, −ω) (−2ω1+ ω2; ω1, ω1, −ω2) (−ω; ω, ω,−ω) (−2ω1+ ω2; ω1, ω1, −ω2)

Coefficient 20 2 -2 Cjn x 10 m V C11 = 0.00257 C11 = 0.0018 C11 = 0.01498 ± 0.0011 C11 = 0.21 ± 0.042 C11 = 0.014 C11 = 0.0026 C11 = 0.01108 C11 = 0.098 C18 = 0.0017 C11 = 0.672 ± 0.126 C11 = 0.42 ± 0.098

Wavelength (µm) 0.6943 0.6943 0.525 0.6943 0.694 0.694 0.694 0.6943 0.694 0.6943 0.6943

Table adapted from Singh, S., Nonlinear optical materials, Handbook of Laser Science and Technology, Vol. III: Optical Materials, Part 1 (CRC Press, Boca Raton, FL, 1986), p. 54.

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2.10.4 Brillouin Phase Conjugation Glasses Used for Brillouin Phase Conjugation Glass Silica, SiO2

Wavelength λ (nm)

Brillouin shift at λ (GHz)

1064

532 488

Linewidth ∆vb (MHz)

Gain g (cm/GW)

16 29–75(a) 29 43–162(b)

4.7, 5 2.5 2.3 2.9 4.48

1 2 3 4 5

25.18

Ref.

Silicate glass

488

21.79–23.41

170–208

2.78–5.18

5

Borate glass

488

17.54–23.31

100–138

3.44–14.29

5

Halide glasses(c) ZBL ZBLA ZBLAN HBL HBLA HBLAPC BeF2 95BeF2-5ThF4 91BeF2-9ThF4 88BeF2-12ThF4

488 488 488 488 488 488 488 488 488 488

2.832 1.713 3.608 1.127 0.96 1.023 16.06 11.54 12.44 24.69

5 5 5 5 5 5 5 5 5 5

17.64 17.80 18.82 15.83 15.63 17.82 17.19 17.61 19.33 18.40

213.6 98.7 96.0 151.4 162.3 179.5 52.5 74.8 42.8 21.3

(a) The authors report gain narrowing. (b) The authors report the transverse and longitudinal linewidth, respectively. (c) Gain calculated from the authors measurements of other parameters.

The above table was adapted from Pepper, D. M., Minden, M. L., Bruesselbach, H. W. and Klein, M. B., Nonlinear optical phase conjugation materials, in Handbook of Laser Science and Technology, Suppl. 2: Optical Materials (CRC Press, Boca Raton, FL, 1995), p. 467. References: 1. Bespalov, V. I., and Pasmanik, G. A., Nonlinear Optics and Adaptive Laser Sytems (Nauka, Moscow, USSR, 1985). Trans. by Translation Division, Foreign Technology Division, Wright Patterson Air Force Base, OH, document FTD-ID(RS)T-0889-86. 2. Gaeta, A. L., and Boyd, R. W., Stochastic dynamics of stimulated Brillouin scattering in an optical fiber, Phys. Rev. A (Atomic, Molecular, and Optical Physics), 44, 3205 (1 Sept. 1991). 3. Tsun, T.-O. Wada, A., Sakai, T., and Yamauchi, R., Novel method using white spectral probe signals to measure Brillouin gain spectra of pure silica core fibres, Electron. Lett. 28, 247–249 (30 Jan. 1992). 4. Faris, G. W., Jusinski, L. E., Dyer, M. J., Bischel, W. K., and Hickman, A. P., High-resolution Brillouin gain spectroscopy in fused silica, Opt. Lett. 15, 703–705 (15 June 1990). 5. Hwa, L.-G., et al., J. Opt. Soc. Am. B (Opt. Phys.), Topical Meeting on Nonlinear Optical Properties of Materials, 833 (1989).

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2.11 Special Glasses 2.11.1 Filter Glasses There are three general types of filter glasses: (1) colorless—optical glasses with different ultraviolet cutoffs, (2) ionically colored by heavy metal or rare earth ions, and (3) colloidically colored. The optical, thermal, and mechanical properties, chemical resistance, and internal quality of these glasses are carefully controlled and are generally similar to those of optical glasses. Manufacturer’s catalogs should be consulted for specific transmission curves and transmittance. Several of the colored filter glasses exhibit photoluminescence [see W. H. Turner, Photoluminescence of color filter glasses, Appl. Opt. 12, 480 (1973) and tables later in this section]. Glass filters may be classified according to their optical properties—short wavelength cutoff, long wavelength cutoff, bandpass, band blocking, and neutral density. Filter glasses produced by major manufacturers are listed by groups in the following table. Commercial Filter Glasses Corning

UV cutoff filters (visible and IR transmitting)

Near UV and visible cutoff filters

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Glass no.

C.S. no.

Hoya

Schott

7940 UV 7940 7910 7906 7058 — 7740 — 9754 7953 7380 — — 3850 — 3060 3391 — 3389 3387 — 3385 3384 3486 3484 3482 3480

9-57 9-58 9-54 9-30 0-56 — 0-53 — 9-56 9-55 0-52 — — 0-51 — 3075 3-74 3-144 3-73 3-72 — 3-71 3-70 3-69 3-68 3-67 3-66

— — UV-22 UV-28 — UV-30 — UV-32 UV-34 — UV-36 L-36 L-38 L-39 L-40

— — WG-230 WG-280 — WG-395 WG-305 WG-320 WG-335 WG-345 WG-360 — GG-375 GG-385 GG-395 GG-400 GG-420 — GG-435 GG-455 GG-475 GG-495 OG-515 OG-530 OG-550 — OG-570

L-42 — L-44 Y-46 Y-48 Y-50 Y-52 O-54 O-56 — O-58

272

Handbook of Optical Materials Commercial Filter Glasses—continued Corning Glass no.

C.S. no.

Hoya

Schott

Near UV and visible cutoff filters

2434 2424 2418 2412 2408 2404 2403 2030

2-73 2-63 2-62 2-61 2-60 2-59 2-58 2-64

IR transmitting sharp cutoff filters

— — — — — 2550 — 2563 2540 — 2600 5970 9863 — 5860 5840 5113 5073 5071 5330 5070 — — 5030 5113 5850 5874 5031 5562 — — 5900 5900

— — — — — 7-57 — 7-99 7-56 — 7-69 7-51 7-54 — 7-37 7-60 5-58 7-64 7-63 1-64 7-62 — — 5-57 5-58 7-59 7-39 5-56 5-61 — — 1-62 1-62

— R-60 — R-62 V — R-64 R-66 R-68 R-70 R-72 IR-76 IR-80 IR-83 IR-85 RM-86 RM-90 — RM-1000 — B-370 U-330 U-340 U-350 U-360 — M-30 M-50 B-380 — — M-10 M-30 M-50 — — B-410 B-390 — — LB-80 LB-20

— OG-590 RG-610 — RG-630 — RG-645 RG-665 — RG-695 RG-715 — RG-780 RG-830 RG-850 — — — RG-1000 — UG-1 UG-5 UG-11 — — — UG-3 — BG-1 BG-1 BG-3 BG-24 — — — — — BG-12 BG-25 BG-37 BG-34 BG34

UV transmitting, visible rejection (variable IR transmission)

UV, IR transmitting, visible rejection (blue-violet glass)

Blue transmitting, red IR absorbing

© 2003 by CRC Press LLC

Section 2: Glasses Commercial Filter Glasses—continued Corning

Blue transmitting, red IR absorbing

Blue, green transmitting, red, IR absorbing

Green transmitting

IR absorbing, visible transmitting

© 2003 by CRC Press LLC

Glass no.

C.S. no.

Hoya

Schott

5900 5900 5900 5900 5900 5900 5900 5433 5543 4308 4303 4305 — — 4060 4-74 4309 9788 9782 — — — — 9780 4784 — 4015 5300 — — 4010 — — — — — 4084 9830 3961 3962 3965

1-62 1-62 1-62 1-62 1-62 1-62 1-62 5-59 5-60 4-70 4-72 4-71 — — 4-67 4-74 4-39 4-97 4-96 — — — — 4-76 4-94 — 4-65 4-106 — — 4-64 — — — — — 4-68 4-77 1-56 1-57 1-58

LB-40 LB-60 LB-100 LB-120 LB-145 LB-165 LB-200 B-430 B-440 — B-460 — B-480 — — — CS-500 C-500 CM-500 C-500 CL-500 CC-500 — — — — — — — G-530 G-5633 G-545 G-550 — — — — — — — —

BG-34 BG34 BG-34 BG34 BG-34 BG34 BG-34 — — BG-14 BG-23 BG-26 BG-28 BG-13 BG-7 BG-7 BG-38 — BG-39 — — — BG-40 — BG-18 VG-4 VG-5 — VG-6 — VG-9 — VG-10 VG-14 GG-4 GG-10 GG-19 — KG-1 KG-2 KG-3

273

274

Handbook of Optical Materials Commercial Filter Glasses—continued Corning

IR absorbing, visible transmitting

IR transmitting, visible absorbing filters

Neutral density filters

Fluorescent color compensating filters Signal yellow and uranium yellow filters

Color converion filters

Calibration filters

Glass no.

C.S. no.

Hoya

Schott

3966 4605 — 2600 2540 2550 — — — — — 8364 — — — 3390 — — — — 3304 3307 3750 3780 3718 5572 — — — — — — — — — — 5121 311 — —

1-59 1-75 — 7-69 7-56 7-57 — — — — — 7-98 — — — 7-58 — — — — 3-76 3-77 3-79 3-80 3-94 1-61 — — — — — — — — — — 1-60 3-142 — —

HA-20 HA-30 HA-50 HA-60 RT-830 RM-86 RM-89 RM-100 — ND-03 ND-25 ND-40 ND-50

KG-4 — KG-5 RG-9 RG-1000 — — — NG-1 NG-3 — NG-4 NG-5 NG-9

ND-13 ND-0 ND-70 — FLD-60 FLW-85 — — — — — — LA-20 LA-40 LA-60 LA-80 LA-100 LA-120 LA-140 1-1B — HY-1 V-10 V-30

NG-10 NG-4 NG-12 — — — — — — — FG-3 — FG-6 FG-13 FG-15 FG-16 — — — — — — — BG-20 BG-36

Table from Cook, L. M. and Stokowski, S. E., Filter materials, Handbook of Laser Science and Technology, Vol. IV, Optical Materials, Part 2 (CRC Press, Boca Raton, FL, 1986), p. 93.

© 2003 by CRC Press LLC

Section 2: Glasses

275

Fluorescence Data for Schott Filter Glasses Filter type UG-3 UG-10 BG-13 BG-14 BG-23 BG-38 BG-39 BG-39 BG-38 VG-3 VG-13 GG-17 GG-21 GG-375 GG-400 GG-420 GG-435 GG-455 GG-475 GG-495 OG-515 OG-530 OG-550 OG-570 OG-590 WG-9 WG-10 WG-230 WG-280 WG-295 WG-305 WG-320 WG-335 WG-345 WG-360 FG-1 FG-4 FG-5 FG-12 RG-610

© 2003 by CRC Press LLC

Xenon-arc lamp Emission Intensity max. (nm) relative to GG-17 520 515 542 522 520 520 515 480 490 515 515 532 532 432 565 570 590 620 620 630 660 670 650 670 680 440 465 540 530 515 425 430 450 460 530 555 515 515 515 660

0.2 2.7 0.7 1.9 0.3 4.1 0.3 0.1 0.04 0.5 5.2 100 87 2.5 12.4 30 13 30 30 19 8.2 4.5 4.1 2.1 0.6 21 0.02 0.03 0.08 0.08 0.02 0.2 0.3 0.1 0.4 0.05 1.8 0.9 2.5 0.6

Mercury-arc lamp Emission Intensity max. (nm) relative to GG-17 432 450 525 490 490 505 460 510 500 520 515 532 535 460 548 575 580 580 580 590 575 585 595 605 625 460 465 420 530 525 435 455 455 500 490 610 450 460 455 660

0.3 1.4 0.4 0.8 0.3 2.8 0.2 0.2 0.2 0.05 0.1 100 72 0.5 0.9 4.1 1.6 1.7 3.2 1.9 1.4 0.4 0.6 0.6 0.3 0.6 1.7 1.6 1.1 1.0 6.4 2.8 3.3 0.5 0.6 0.2 0.7 0.5 1.4 0.2

276

Handbook of Optical Materials Fluorescence Data for Schott Filter Glasses—continued

Filter type RG-630 RG-645 RG-665 RG-695 RG-715

Xenon-arc lamp Emission Intensity max. (nm) relative to GG-17 660 635 690 710 680

Mercury-arc lamp Emission Intensity max. (nm) relative to GG-17

0.8 3.3 0.3 0.08 1.0

660 680

0.18 0.4

Fluorescence Data for Corning Filter Glasses Filter number 0-54 0-51 0-52 0-53 3-75 3-74 3-73 3-72 3-71 3-70 3-69 3-68 3-67 3-66 2-73 2-63 2-62 2-61 3-79 3-94 4-69 4-69 4-71 9-30 9-54

Excitation wavelength (nm) 300 350 345 225 350 400 420 420 450 470 440 420 440 450 450 450 450 450 300 400 345 250 345 250 250

Emission peak (nm) 405 560 420 420 560 570 570 620 630 680 685 730 735 740 740 780 780 790 535 535 510 500 500 390 395

Fluorescence intensity 1.0 0.0031 0.286 0.077 0.0064 0.104 0.108 0.065 0.065 0.022 0.014 0.0024 0.0008 0.0005 0.0004 0.0003 0.0002 0.0002 1.513 0.098 0.0014 0.111 0.0059 0.314 0.154

Preceding two tables are from Cook, L. M. and Stokowski, S. E., Filter materials, Handbook of Laser Science and Technology, Vol. IV, Optical Materials, Part 2 (CRC Press, Boca Raton, FL, 1986), p. 93.

© 2003 by CRC Press LLC

Section 2: Glasses

277

2.11.2 Laser Glasses Compositions of commercial laser glasses are rarely published. Most current glasses are similar to the following: • Silicate glasses of the Li2 O-CaO-SiO2 or Li2O-Na2O-SrO-SiO2 type. Examples of these glasses include the Schott LG-680, Kigre Q-246, and Hoya LSG-91H. These glasses generally have excellent physical properties and, because of their high Li2O content, can be strengthened by ion exchange. Therefore, these glasses can be very resistant to thermal shock. • Potassium-barium-phosphate glasses with a high cross section for stimulated emission. Examples of these glasses include Schott LG-760, Hoya LGH-80, and Kigre Q-98. These glasses are often modified with Na2O, Li2O, Al2O3, etc. to produce a glass with a near-zero optical distortion. Examples of these athermal glasses include Schott LGLG-760, Hoya LGH-8, and Kigre Q-98. • Lithium-aluminum-phosphate glasses with a relatively high thermal shock resistance for high average power applications. These glasses can usually be ion exchanged to further improve their resistance to breakage. Examples of these glasses include Schott APG-1 and Hoya HAP-4. • Fluorophosphate glasses feature a low nonlinear refractive index which reduces spatial beam breakup due to small scale self-focusing. An example is Schott LG-810. In addition to commercial laser glasses, a large number of different glasses have been used in experimental lasers. Below is a summary of the range of spectroscopic properties that have been obtained for the 4F3/2–4I11/2 transition of Nd3+. For additional data of glass lasers, see the Handbook of Lasers (CRC Press, Boca Raton, FL, 2000), p. 161. Spectroscopic Properties for Nd3+ Observed in Different Glasses at 295 K Radiative Effective Peak Cross Refractive lifetime linewidth wavelength section index Host (µs) (nm) (µm) (pm2) (nd) glass Oxides Silicate Germinate Tellurite Phosphate Borate Halides

1.46–1.75 1.61–1.71 2.0–2.1 1.49–1.63 1.51–1.69

0.9–3.6 1.7–2.5 3.0–5.1 2.0–4.8 2.1–3.2

1.057–1.088 1.060–1.063 1.056–1.063 1.052–1.057 1.054–1.062

34–55 36–43 26–31 22–35 34–38

170–1090 300–460 140–240 280–530 270–450

Beryllium fluoride Aluminum fluoride Heavy metal fluoride Chloride Oxyhalides

1.28–1.38 1.39–1.49 1.50–1.56 1.67–2.06

1.6–4.0 2.2–2.9 2.5–3.4 6.0–6.3

1.046–1.050 1.049–1.050 1.048–1.051 1.062–1.064

19–29 28–32 25–29 19–20

460–1030 540–650 360–500 180–220

Fluorophosphate Chlorophosphate Chalcogenides

1.41–1.56 1.51–1.55

2.2–4.3 5.2–5.4

1.049–1.056 1.055

27–34 22–23

310–570 290–300

Sulfide Oxysulfide

2.1–2.5 2.4

6.9–8.2 4.2

1.075 1.075

21 28

64–100 92

© 2003 by CRC Press LLC

278

Handbook of Optical Materials

Glass designation Glass type

Properties of Hoya Laser Glasses LHG-5 LHG-8

Lasing Properties Peak laser wavelength (nm) Stimulated emission cross section (pm2) Specific gain coefficient (cm–1/J/cm3) Loss at lasing wavelength (cm–1) Fluorescence linewidth FWHM (nm) Effective (nm) Fluorescence lifetime (µs) at [Nd3+] (1020 / cm3)

Nd-doped phosphate

1054 4.1 0.217 0.0015 22.0 – 290 3.2

Nd-doped phosphate

1054 4.2 0.223 0.0015 21.8 – 315 3.1

LHG-80 Nd-doped phosphate

1054 4.8 0.255 0.0015 20.2 – 320 3.1

Optical properties Refractive index at

lasing wavelength (nm) 633 587 nm, nd Abbe value Nonlinear refractive index, n2 (10-13 esu) Temperature coefficient of refractive index, dn/dT (20–40°C) (10–6/°C) Temperature coefficient of optical path length, w = CTE (n – 1) + dn/dT (20–40°C) (10–6/°C) Stress optical coefficient (nm/cm/kgf/cm2) Thermal Properties Coefficient of thermal expansion, dl/dT (10–6/°C) (20–40°C) (100–300°C) Thermal conductivity (W/m K) Specific heat (J/g K) Glass transformation temperature, Tg (°C) Other Properties Density (g/cm3) Young’s modulus, E (kgf/mm2) Poisson’s ratio Knoop hardness (kgf/mm2)

© 2003 by CRC Press LLC

1.5308 1.5391 1.5410 63.5 1.28

1.5200 1.5279 1.5296 66.5 1.13

1.5329 1.5415 1.5429 64.7 1.24

–0.4

–5.3

–3.8

4.2 2.26

0.6 1.93

1.8 1.77

8.4 9.8 0.77 0.71 455

11.2 12.7 0.58 0.75 485

10.2 13.0 0.63 0.63 402

2.68 6910 0.237 429

2.83 5110 0.258 350

2.92 5100 0.267 342

Section 2: Glasses

279

Properties of Hoya Laser Glasses—continued Glass designation Glass type

Lasing Properties Peak laser wavelength (nm) Stimulated emission cross section (pm2) Specific gain coefficient (cm–1/J/cm3) Loss at lasing wavelength (cm–1) Fluorescence linewidth FWHM (nm) Effective (nm) Fluorescence lifetime (µs) at [Nd3+] (1020 / cm3) Optical properties Refractive index at lasing wavelength (nm) 632.8 nm 587 nm, nd Abbe value Nonlinear refractive index, n2 (10-13 esu) Temperature coefficient of refractive index, dn/dT (20–40°C) (10–6/°C) Temperature coefficient of optical path length, w = CTE (n – 1) + dn/dT (20–40°C) (10–6/°C) Stress optical coefficient (nm/cm/kgf/cm2)

LSG-91H Nd-doped silicate

1062 2.7 0.144 0.0015 27.4 – 300 3.0

1.5498 1.5590 1.5611 56.6 1.58

HAP-4 Nd-doped phosphate

1054 3.6 0.197 0.0015 27.0 – 350 3.2

1.5331 1.5416 1.5433 64.6 1.25

LEG-30 Er-doped phosphate

1535 0.77 – – 32.0 – 8.7 –

1.527 1.5402 1.5419 65.4 1.22

1.6

1.8

–3.0

6.6 2.16

5.7 2.44

2.2 –

Thermal Properties Coefficient of thermal expansion, dl/dT (10–6/°C) (20–40°C) (100–300°C) Thermal conductivity (W/m K) Specific heat (J/g K) Glass transformation temperature, Tg (°C)

9.0 10.5 1.03 0.63 465

7.2 8.5 1.02 0.71 486

9.6 10.9 – 0.55 515

Other Properties Density (g/cm3) Young’s modulus, E (kgf/mm2) Poisson’s ratio Knoop hardness (kgf/mm2)

2.81 8890 0.237 590

2.70 7020 0.236 470

3.09 5640 0.26 346

© 2003 by CRC Press LLC

280

Handbook of Optical Materials Properties of Kigre Laser Glasses

Glass designation Glass type Lasing Properties Peak laser wavelength (nm) Stimulated emission cross section (pm2) Specific gain coefficient (cm–1/J/cm3) Loss at lasing wavelength (cm–1) Fluorescence linewidth FWHM (nm) Effective (nm) Fluorescence lifetime (µs) at [Nd3+] (1020 / cm3) Optical properties Refractive index at lasing wavelength (nm) 632.8 nm 587 nm, nD Abbe value Nonlinear refractive index, n2 (10-13 esu) Temperature coefficient of refractive index, dn/dT (20–40°C) (10–6/°C) Temperature coefficient of optical path length, w = CTE (n – 1) + dn/dT (20–40°C) (10–6/°C) Stress optical coefficient (nm/cm/kgf/cm2) Thermal Properties Coefficient of thermal expansion dl/dT (10–6/°C) (20–40°C) (100–300°C) Thermal conductivity (W/m K) Specific heat (J/g K) Glass transformation temperature, Tg (°C) Other Properties Density (g/cm3) Young’s modulus, E (kgf/mm2) Poisson’s ratio Knoop hardness (kgf/mm2)

© 2003 by CRC Press LLC

Q-88 Nd-doped phosphate

1054 4.0 – 0.0008 21.9 26.3 326 –

Q-98 Nd-doped phosphate

1053 4.5 – 0.0008 21.1 25.5 308 –

Q-100 Nd-doped phosphate

1054 4.4 – 0.0008 21.2 25.1 357 –

1.504 1.513 1.515 67.5 1.08

1.516 1.524 1.526 68.2 1.08

1.508 1.514 1.519 69.2 1.02

–3.2

–5.1

–6.8

2.3 2.1

0.8 1.8

–0.4 2.0

10.9 – 0.69 0.84 458

11.4 – 0.52 0.72 450

12.5 – 0.60 0.75 350

2.63 6181 0.243 320

2.83 5110 0.256 290

2.60 5477 0.267 310

Section 2: Glasses

281

Properties of Kigre Laser Glasses—continued Glass designation Glass type Lasing Properties Peak laser wavelength (nm) Stimulated emission cross section (pm2) Specific gain coefficient (cm–1/J/cm3) Loss at lasing wavelength (cm–1) Fluorescence linewidth FWHM (nm) Effective (nm) Fluorescence lifetime (µs) at [Nd3+] (1020 / cm3) Optical properties Refractive index at lasing wavelength (nm) 632.8 nm 587 nm, nD Abbe value Nonlinear refractive index, n2 (10-13 esu) Temperature coefficient of refractive index, dn/dT (20–40°C) (10–6/°C) Temperature coefficient of optical path length, w = CTE (n–1) + dn/dT (20–40°C) (10–6/°C) Stress optical coefficient (nm/cm/kgf/cm2) Thermal Properties Coefficient of thermal expansion dl/dT (10–6/°C) (20–40°C) (100–300°C) Thermal conductivity (W/m K) Specific heat (J/g K) Glass transformation temperature, Tg (°C) Other Properties Density (g/cm3) Young’s modulus, E (kgf/mm2) Poisson’s ratio Knoop hardness (kgf/mm2)

© 2003 by CRC Press LLC

Q-246 Nd-doped phosphate

MM-2 Er-doped phosphate

QE-7S Er-doped phosphate

1054.5 3.5 0.186 0.0015

1535 0.8 – –

23.0 26.65 350 2.0

55

30

7900 –

8000 –

1.526 1.535 1.537 67.7 1.13

1.53 – 1.54 – –

1.535 0.8 – 0.002

1.531 – 1.542 – –

1.2

-3.8

6.3

5.2 2.2

3.3 2.1

0.3

7.6 – 0.83 0.84 450

7.3 8.4 0.85

11.4 – 0.82 0.80 462

2.64 7242 0.239 315

506

2.70 7100 0.24 435

2.94 7210 0.24 556

282

Handbook of Optical Materials Properties of Kigre Laser Glasses—continued

Glass designation Glass type Lasing Properties Peak laser wavelength (nm) Stimulated emission cross section (pm2) Specific gain coefficient (cm–1/J/cm3) Loss at lasing wavelength (cm–1) Fluorescence linewidth FWHM (nm) Effective (nm) Fluorescence lifetime (µs) at [Nd3+] (1020 / cm3) Optical properties Refractive index at lasing wavelength (nm) 632.8 nm 589.3 nm, nD Abbe value Nonlinear refractive index, n2 (10-13 esu) Temperature coefficient of refractive index dn/dT (20–40°C) (10–6/°C)

QX/Nd Nd-doped phosphate

1054 3.8 – – – 27.2 – 353 –

1.53 – 1.538 66.0 1.17 −0.4

QX/Er Nd-doped phosphate

1535 0.8 – – – 55.0 – 7900 –

1.521 – 1.538 64.5 1.22

QX/Yb Nd-doped phosphate

1025-1060 1.4 – – – 56.5 – 2000 –

1.52 – 1.535 61.1 1.22

0

0

Temperature coefficient of optical path length, w = CTE (n – 1) + dn/dT (20–40°C) (10–6/°C) Stress optical coefficient (10-6 mm2/N)

5.1 2.1

3.3 2.3

3.3 2.3

Thermal Properties Coefficient of thermal expansion dl/dT (10–6/°C) (20–40°C) (20–100°C) Thermal conductivity (W/m K) Specific heat (J/g K) Glass transformation temperature, Tg (°C)

7.2 8.4 0.85 – –

8.2 9.4 0.85 – –

8.3 9.5 0.85 – –

2.66 7100 0.24 503

2.90 6700 0.24 435

2.81 6700 0.24 435

Other Properties Density (g/cm3) Young’s modulus, E (103 N/ mm2) Poisson’s ratio Knoop hardness (kgf/mm2)

© 2003 by CRC Press LLC

Section 2: Glasses

283

Properties of Schott Laser Glasses Glass designation Glass type Lasing Properties Peak laser wavelength (nm) Stimulated emission cross section (pm2) Specific gain coefficient (cm–1/J/cm3) Loss at lasing wavelength (cm–1) Fluorescence linewidth FWHM (nm) Effective (nm) Fluorescence lifetime (µs) at [Nd3+] (1020 / cm3) Optical properties Refractive index at lasing wavelength (nm) 632.8 nm 587 nm, nd Abbe value Nonlinear refractive index, n2 (10-13 esu) Temperature coefficient of refractive index dn/dT (20–40°C) (10–6/°C) Temperature coefficient of optical path length, w = CTE (n – 1) + dn/dT (20–40°C) (10–6/°C) Stress optical coefficient (nm/cm/kgf/cm2) Thermal Properties Coefficient of thermal expansion dl/dT (10–6/°C) (20–40°C) (100–300°C) Thermal conductivity (W/m K) Specific heat (J/g K) Glass transformation temperature, Tg (°C) Other Properties Density (g/cm3) Young’s modulus, E (103 N/mm2) Poisson’s ratio Knoop hardness (N/mm2)

© 2003 by CRC Press LLC

LG-700

LG-750

LG-760

Nd-doped phosphate

Nd-doped phosphate

Nd-doped phosphate

1053 3.7 0.195 0.0015 22.3 26.6 350 2.0

1053.5 4.0 0.212 0.0020 21.5 25.5 360 2.0

1053.5 4.2 0.223 – 19.6 23.6 350 2.0

1.504 1.513 1.515 67.5 1.08

1.516 1.524 1.526 68.2 1.08

1.508 1.514 1.519 69.2 1.02

–3.2

–5.1

–6.8

2.3 2.1

0.8 1.8

–0.4 2.0

10.9 – 0.69 0.84 458

11.4 – 0.52 0.72 450

12.5 – 0.60 0.75 350

2.63 6181 0.243 320

2.83 5110 0.256 290

2.60 5477 0.267 310

284

Handbook of Optical Materials Properties of Schott Laser Glasses–continued

Glass designation Glass type

LG-660 Nd-doped silicate

Lasing Properties Peak laser wavelength (nm) Stimulated emission cross section (pm2) Specific gain coefficient (cm–1/J/cm3) Loss at lasing wavelength (cm–1) Fluorescence linewidth FWHM (nm) Effective (nm) Fluorescence lifetime (µs) at [Nd3+] (1020 / cm3) Optical properties Refractive index at lasing wavelength (nm) 632.8 nm 587 nm, nd Abbe value Nonlinear refractive index, n2 (10-13 esu) Temperature coefficient of refractive index dn/dT (20–40°C) (10–6/°C) Temperature coefficient of optical path length, w = CTE (n – 1) + dn/dT (20–40°C) (10–6/°C) Stress optical coeff. (546 nm) (nm/cm/N/mm2) Thermal Properties Coefficient of thermal expansion dl/dT (10–6/°C) (20–40°C) (100–300°C) Thermal conductivity (W/m K) Specific heat (J/g K) Glass transformation temperature, Tg (°C) Other Properties Density (g/cm3) Young’s modulus, E (103 N/mm2) Poisson’s ratio Knoop hardness (N/mm2)

© 2003 by CRC Press LLC

LG-670 (ED-2) Nd-doped silicate

1057 2.0 0.106 0.002

1061 2.7 0.144 <0.003

24.9 33.3 480 1.4

27.8 34.4 330 1.4

LG-680 (ED-3) Nd-doped silicate

1061 2.9 0.155 0.002 28.2 34.7 >350 2.0

1.509 1.517 1.519 58.2 1.34

1.561 1.570 1.572 57.5 1.41

1.560 1.568 1.570 57.7 1.6

1.1

2.9

2.9

6.5 29

8.0 21.0

8.1 20

10.7 12.2 1.05 0.72 395

9.26 10.3 1.35 0.92 468

9.3 – 1.35 0.92 468

2.60 69.4 0.233 4415

2.54 90.1 0.242 5876

2.54 9190 0.242 599

Section 2: Glasses

285

Properties of Schott Laser Glasses—continued Glass designation Glass type

Lasing Properties Peak laser wavelength (nm) 2 Stimulated emission cross section (pm ) –1 3 Specific gain coefficient (cm /J/cm ) –1 Loss at lasing wavelength (cm ) Fluorescence linewidth FWHM (nm) Effective (nm) Fluorescence lifetime (µs) 3+ 3 at [Nd ] (1020 / cm ) Optical properties Refractive index at lasing wavelength (nm) 632.8 nm 587 nm, nd Abbe value 2 –13 Nonlinear refractive index, n (10 esu) Temperature coefficient of refractive index dn/dT (20–40°C) (10–6/°C) Temperature coefficient of optical path length, w = CTE (n – 1) + dn/dT (20–40°C) (10–6/°C) 2 Stress optical coeff. (546 nm) (nm/cm/N/mm ) Thermal Properties Coefficient of thermal expansion dl/dT (10–6/°C) (20–40°C) (100–300°C) Thermal conductivity (W/m K) Specific heat (J/g K) Glass transformation temperature, Tg (°C) Other Properties Density (g/cm3) Young’s modulus, E (103 N/mm2) Poisson’s ratio Knoop hardness (N/mm2) * Properties are not final. ** −30–+70°C

© 2003 by CRC Press LLC

APG-1 Nd-doped phosphate

1054.5 3.5 0.186 0.0015 23.0 26.65 350 2.0

1.526 1.535 1.537 67.7 1.13

LG-810 Nd-doped fluorophosphate

1051 2.6 0.138 <0.002 26.1 31.0 470 1.4

LG-812 Nd-doped fluorophosphate*

1051 2.7 0.15 0.005 22 – 400 2.86

1.429 1.434 1.435 91 0.52

1.428 – 1.435 91.0 0.5

1.2

−7.7

−7.7

5.2 2.2

−1.4 9.3

−1.4 9.3

7.6 – 0.83 0.84 450

14.5** 16.5 1.06 0.71 395

14.5** – 1.06 0.71 401

2.64 7242 0.239 315

3.19 75.3 0.275 3237

3.19 75.3 0.275 330

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Handbook of Optical Materials

2.11.3 Faraday Rotator Glasses Diamagnetic Glasses The Verdet constant of diamagnetic glasses is proportional to the dispersion of the refractive index, dn/dλ. Thus high index, large dispersion glasses are generally used for Faraday rotation applications. Data for representative diamagnetic glasses are given below.* Schott BK 7

435.8

Verdet constant, V(rad/T m) –1 Loss coefficient, α (cm ) Index of refraction, n

9.6 0.0017 1.5267

Schott SF 6

435.8

Verdet constant, V(rad/T m) –1 Loss coefficient, α (cm ) Index of refraction, n

Schott SF 57 Verdet constant, V(rad/T m) –1 Loss coefficient, (cm ) Index of refraction, n

Schott SF 59 Verdet constant, V(rad/T m) –1 Loss coefficient, α (cm ) Index of refraction, n

As2S3 Verdet constant, V(rad/T m) –1 Loss coefficient, α (cm ) Index of refraction, n

48.1 0.024 1.8470

435.8 52.4 0.0205 1.8939

435.8 69.8 — 2.0156

435.8 86.7 — 2.636

Wavelength (nm) 480.0 546.1 7.6 — 1.5228

5.8 0.0016 1.5187

Wavelength (nm) 480.0 546.1 34.9 0.008 1.8297

25 0.002 1.8126

Wavelength (nm) 480.0 546.1 39.6 — 1.8742

29 0.002 1.8550

Wavelength (nm) 480.0 546.1 — — 1.9890

37.2 — 1.9635

Wavelength (nm) 480.0 546.1 56.4 — 2.562

38.7 — 2.521

* Schott glass designations. Similar glasses are available from other sources.

© 2003 by CRC Press LLC

632.8

1060

4.1 — 1.5151

1.7 — 1.5067

632.8

1060

18 — 1.7988

6.1 — 1.7738

632.8

1060

20 0.002 1.8396

6.7 0.002 1.8118

632.8

1060

25.9 — 1.9432

8.1 — 1.9078

632.8

1060

19 — 2.465

13 — 2.448

Section 2: Glasses Paramagnetic Glasses Data from manufacturer’s data sheets. Hoya FR 4 (discontinued)

325

Verdet constant, V(rad/T m) –1 Loss coefficient, α (cm ) Index of refraction, n

— — —

Hoya FR 5

325

Verdet constant, V(rad/T m) –1 Loss coefficient, α (cm ) Index of refraction, n

Hoya FR 7

–444 — 1.731

325

Wavelength (nm) 442 632.8 –82.6 1.584

–30.5 0.00597 1.570

Wavelength (nm) 442 632.8 –174 — 1.701

–71.0 0.0291 1.684

Wavelength (nm) 442 632.8

Verdet constant, V(rad/T m) –1 Loss coefficient, α (cm ) Index of refraction, n

— — —

–82.3 — 1.540

Kigre M-18

543.1

Wavelength (nm) 632.8 830.0

Verdet constant, V(rad/T m) –1 Loss coefficient, α (cm ) Index of refraction, n

–103 — —

–70.9 — 1.6845 (nD)

Verdet constant relative to FR 5 measured at 21.7 rad/T m.

Kigre M-24 Verdet constant, V(rad/T m) –1 Loss coefficient, α (cm ) Index of refraction, n

Kigre M-32 Verdet constant, V(rad/T m) –1 Loss coefficient, α (cm ) Index of refraction, n

© 2003 by CRC Press LLC

Wavelength (nm) 532 1064 –87 — 1.701 (nD)

–26 — 1.687

Wavelength (nm) 532 1064 –98 — 1.727 (nD)

–29 — 1.713

–34.9 — 1.530

–37.9 — —

1064 –8.4 0.0054 1.561

1064 –20.6 0.0086 1.673

1064 –9.6 — 1.524

1064 –21.3 — 1.664

287

Section 2: Glasses

O-I EY-1 (discontinued)

Wavelength (nm 442 632.8

325

–273

Verdet constant, V(rad/T m) –1 Loss coefficient, α (cm ) Index of refraction, n

O-I EY-2 (discontinued) Verdet constant, V(rad/T m) –1 Loss coefficient, α (cm ) Index of refraction, n

–98.0

–41.9

— 1.665

— 1.639

— 1.624

325 —

Wavelength (nm) 442 632.8 — —

— —

— —

288

1064 –11.9 <0.005 1.615

1064

–11

— —

<0.010 1.607

Optical Properties of Paramagnetic Faraday Rotator Glasses Glass type

Transmission range (µm)

Refractive index nD

Abbe number νD

dn/dT (10-6/K)

Nonlinear index n2 calc. (10--13esu)

FR-4 FR-5 FR-7

~0.4–2.0 ~0.4–1.5* ~0.4–1.5*

1.5732 1.6864 1.5316

58.0 53.5 74.9

2.8 7.5 –

1.59 2.45 0.95

M-18 M-24 M-32

~0.4–1.5* ~0.4–1.5* ~0.4–1.5*

1.682 1.701 1.727

48.8 52.0 51.1

7.5 – –

2.7 2.6 2.9

3+

* Tb

absorption line at ~0.54 µm.

Mechanical and Thermal Properties of Paramagnetic Faraday Rotator Glasses Glass type

Density (g/cm3)

Young’s modulus E (103 N/mm2)

Poisson’s ratio µ

Knoop hardness (N/mm2)

FR-4 FR-5 FR-7

3.10 4.28 4.32

65.2 108 –

0.244 0.22 –

6020 7310 5070

M-18 M-24 M-32

4.33 4.45 4.85

113 121 120

0.339 0.326 0.306

7380 7500 7930

Data from manufactures’ sheets.

© 2003 by CRC Press LLC

Thermal expansion ( 10-6/°C) 98 47 17.1 5.63 5.59 6.00

Transform. temp (°C) 625 756 398 757 775 774

Section 2: Glasses

289

2.11.4 Gradient-Index Glasses Gradient-index (GRIN) glasses are ones in which the index of refraction varies spatially within the glass. A radial gradient is one that is symmetric about a line; therefore the surfaces of constant index of refraction are cylinders. There are two commonly used mathematical representations for such gradients. The first, used to specify products manufactured by Nippon Sheet Glass, is N(r)= N0(1 – Ar2/2 + h4r4 + h6r6 + . . . ); the second is N(r)= N 00 + N10r2 + N 20r4 + . . . ). In both cases, the quadratic coefficient determines the focal length, numerical aperture, and other first-order properties of the lens. The higherorder coefficients determine the image quality. The tables below present catalog data for Nippon Sheet Glass (NSG) materials and those of Gradient Lens Corporation(GLC) together with calculated maximum numerical aperture (NA) and quarter-pitch length. Other diameters and numerical apertures may be available; the reader should contact the appropriate vendor for current data. NSG Radial Gradient Lenses (Selfoc) SLS Numerical aperture Diameter (mm) Wavelength (µm) Square root A N00 N10 ∆N Index at edge Quarter-pitch length

SLS

SLW

SLW

SLW

SLW

0.37 0.37 0.46 0.46 0.46 0.46 1 2 1 1.8 2 31.8 0.63 0.63 0.63 0.63 0.63 0.63 –1 –2 –1 –1 –2 6.10E 3.70E 1.15E 9.24E 4.24E–2 2.49E 0.499 0.247 0.608 0.339 0.304 0.206 1.5637 1.5637 1.6075 1.6075 1.6075 1.6075 –1.95E–1 –4.77E–2 –2.97E–1 –9.24E–2 –7.43E–2 –3.41E–2 –4.87E–2 –4.77E–2 –7.43E–2 –7.48E–2 –7.43E–2 –7.67E–2 1.515 1.516 1.5332 1.5326 1.5332 1.5307 3.15 6.36 2.58 4.63 5.17 7.63

SLH 0.6 0.634 1.85E–1 0.43 1.6576 –1.53E–1 –1.24E–1 1.5334 3.65

Data from SELFOC Product Guide, NSG America, Inc., Somerset, NJ 08873.

GLC Radial Gradient Lenses (BIG GRINS)

Numerical aperture Diameter (mm) Wavelength (µm) A Square root A N00 N10 ∆N Index at edge Quarter-pitch length

BG 30

BG 40

0.19 3 0.63 5.78E–3 0.076 1.643 –4.74E–3 –1.07E–2 1.6323 20.67

0.19 4 0.63 3.25E–3 0.057 1.643 –2.67E–3 –1.07E–2 1.6323 27.56

BG 50 0.19 5 0.63 2.12E–3 0.046 1.643 –1.74E–3 –1.09E–2 1.6321 34.15

Data from Gradient Lens Corporation Data Sheets, Rochester, NY 14608. Tables from Moore, D. T., Gradient-index materials, Handbook of Laser Science and Technology, Suppl. 2: Optical Materials (CRC Press, Boca Raton, 1995), p. 499.

© 2003 by CRC Press LLC

Section 2: Glasses

290

2.11.5 Mirror Substrate Glasses Properties of Mirror Substrate Glasses Material (supplier)

Density (g/cm3)

Thermal expansion coefficient (10-6/K)

Knoop hardness (kg/mm2)

Stress-optical coefficient (TPa–1)

BK 7 (various)

2.51

8.3

520

2.7

fused silica*

2.20

0.55

635

3.5

LE30 (Hoya)

2.58

0.4

657

2.9

Pyrex (Corning)

2.23

3.2

418

3.9

ULE (Corning)

2.21

0.03

460

4.0

Zerodur® (Schott)

2.53

0.10

630

3.0

* For a list of suppliers, see the section on fused silica.

2.11.6 Athermal Glasses Athermal glass compositions are selected such that the optical path length, defined as the refractive index times the actual geometric distance the light traverses in the glass, is independent of temperature. The change in optical path length ∆W with temperature is ∆W = s[α(n – 1) + dn/dT]∆T = sGT, where s is the actual distance in the glass, α is the coefficient of thermal expansion, n is the refractive index, and T is the temperature. G is the thermo-optical coefficient. For ∆w to approach zero, the gradient of the refractive index as a function of temperature must be negative. Examples of glasses with this property can be found in the FK, PK, PSK, SSK, BaLF, F, TiF, and BaSF families on the glass map. Data for several representative athermal optical and laser glasses are given in the table (see, also, sections 2.2.2 and 2.9.2). Properties of Athermal Glasses dn/dT (10-6/K)**

nd

νd

Thermal expansion coefficient α (10-6/K)*

Optical glasses Ultran (Schott) PSK 54 (Schott) TiF 6 (Schott) FK 54 (Schott) ATF4 (Hoya)

1.5483 1.5860 1.6165 1.4370 1.65376

74.2 64.6 31.0 90.7 44.72

11.9 11.9 13.9 14.6 12.9

–6.5 –7.0 –6.4 –5.9 –6.6

Nd-doped laser glasses LHG-8 (Hoya) Q-98 (Kigre) LG-760 (Schott) LG-810 (Schott)

1.530 1.555 1.519 1.537

66.5 63.6 69.2 67.7

11.2 9.9 12.5 14.5

–5.3 –4.5 –6.8 –7.7

Glass type

*

–30 – +70°C; ** +20 – +40°C

© 2003 by CRC Press LLC

Section 2: Glasses

291

2.11.7 Acoustooptic Glasses Acoustic waves create a time-varying refractive index grating in a material via the photoelastic effect. The grating spacing is equal to the acoustic wavelength; the grating depth is determined by the drive power of the transducer. A light beam traversing the medium is deflected by the grating at the Bragg angle Θ B from the normal to the sound propagation direction given by sin ΘB = (1/2)λ/ Λ, where λ and Λ are the wavelengths of the light and sound beams. The diffraction efficiency for a transducer of height H and interaction length L is 2

6 2

3

I/I0 = (π /2)(L/H)(n p /νn )Pa/λ

2

where Pa is the acoustic power, p is the photoelastic constant, ρ is the density, and ν is the sound velocity. Thus an acoustooptic material, in addition to having low losses at the acoustic and optical wavelengths, should also have a large index of refraction and small sound velocity. A figure of merit for an acoustooptic material is M = n6 p2/ρv3. Properties and figures of merit for several glasses are compared below. Properties of Acoustooptic Glasses Transmission range (µm)

Acoustic wave polar.

Sound velocity (km/sec)

Optical wave polar.

Refract. index (632.8 nm)

Relative merit(a)

fused silica (SiO2)

0.2–4.0

long.

5.96

⊥

1.46

1.0

lead silicate (Schott SF 4)

0.38–1.8

long.

3.63

⊥

1.62

3.0

lead silicate (Schott SF 59)

0.46–2.5

long.

3.20

 or

⊥

1.95

12.6

tellurite (Hoya AOT 5)

0.47–2.7

long. shear

3.40 1.96

⊥ or ⊥

2.090

23.9



tellurite (Hoya AOT 44B)

0.43–2.5

long.

3.33



1.971

20.9

arsenic trisulfide (As2S3)

0.6–11

long.

2.6



2.61

256

Ge55As12S33

1.0–14

2.52

2.52

⊥

Glass

54

(a) Figure of merit relative to that of SiO2. Data from Gottlieb, M., Elastooptic materials, Handbook of Laser Science and Technology, Vol. 4 (CRC Press, Boca Raton, FL, 1986), p. 319.

© 2003 by CRC Press LLC

Section 2: Glasses

292

2.11.8 Abnormal Dispersion Glass Various relative partial dispersions Px,y = (nx – ny)/(nF – nC) are defined for other wavelengths x and y. The relative partial dispersion of most glasses obeyed a linear relationship on νd of the form Px,y ≈ axy + bxy νd , where a and b are constants. It is not possible to correct for second-order chromatic aberrations using so-called “normal” glasses that satisfy this equation. Because of the linear relationship between the relative partial dispersions and Abbe number, the difference in partial dispersions will always be the same for normal glasses. Correction for second-order chromatic aberration (secondary spectrum) is accomplished using glasses with equal partial dispersions for different Abbe values (the corrected systems are called apochromats). These abnormal dispersion glasses depart from the “normal line” and the linear relationship above. The relative dispersion (ng – nF)/(nF – nC ) of optical glasses is plotted in the figure below and shows the magnitude of the deviations from the normal line that are possible. The deviations can be either positive or negative. Optical glass catalogs list deviations of the relative partial dispersions from the normal for glasses covering a wide range of νd values. 0.65

nF – nc

Pg,f =

ng – nF

0.60

0.55

0.50 100

80

60

νd

40

20

Deviation of the relative partial dispersion Pg,f of optical glasses from the normal line (Schott Optical Glass Catalog).

© 2003 by CRC Press LLC

Section 3: Polymeric Materials

3.1 3.2 3.3 3.4 3.5

Optical Plastics Index of Refraction Nonlinear Optical Properties Thermal Properties Engineering Data

© 2003 by CRC Press LLC

Section 3: Polymeric Materials

295

Section 3 POLYMERIC MATERIALS Of the large number of known polymers, several exhibit useful optical properties. Various properties of optical plastics are compared with those of glasses below. The documentation of optical properties and the accuracy of data on plastics are generally not comparable to that of optical glasses. In addition, mechanical and chemical resistance properties should be checked with the material supplier because they may vary widely within a polymer group. Numerous caveats about the use and application of plastics in optical systems are noted in reference 1. Property Optical Refractive index (nd) Abbe number (vd) Index homogeneity Index change with temperature (10−6 K−1) Birefringence (nm/cm) Transmission range (nm) Mechanical Density (g/cm3) Young modulus (103 N/mm2) Poisson’s ratio Thermal Expansion coefficient (10−6 K−1) Heat capacity (J g−1 K−1) Thermal conductivity (W m−1 K−1) Softening temperature (°C)

Plastic

Glass

1.31–1.65 92–20 ±1 x 10-4 −143 to −100 60–80,000 200–2500

1.28–1.95 91–20 ± 1 x 10-6 −8.5 to 6.0 5 150–3500

0.83–1.46 1–10

2.3–6.3 46–129 0.192–0.309

25–130 1–2 0.1–0.3 360–430

3.7–14.6 0.31–0.89 0.51–1.28 750–1100

From Cook, L. M. and Stokowski, S. E., Filter materials, Handbook of Laser Science and Technology, Volume IV: Optical Materials, Part 2 (CRC Press, Boca Raton, FL, 1995), p. 151.

Common optical plastics include: polymethyl methacrylate (PMMA) (acrylic) polystyrene (styrene) (PS) methyl methacrylate styrene copolymer (NAS) stryrene acrylonitrile (SAN), acrylic/styrene copolymer polycarbonate (PC) polymethylpentene (TPX) acrylonitrile, butadienne, and styrene terpolymer (ABS) nylon, amorphous polyamide polyetherimide (PEI) polysulfone allyl diglycol carbonate (CR-39) Telfon (Telfon AF® ) (TPFE), fluorinated-(ethylenic-cyclo oxyaliphatic substituted ethylenic) copolymer

In the following tables properties of these and other optical plastics are given in order of decreasing index of refraction.

© 2003 by CRC Press LLC

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Handbook of Optical Materials

3.1 Optical Plastics Properties of Optical Plastics–I Polymer Polyetherimide (PEI)

Trade name

Manufacturer

Density (g/cm3)

Ultem

G.E. Plastics

Polyarylsulfone

Radel

Amoco Performance

1.37

1.651

Polyurethane

Isoplast 301

Dow

1.2

1.64–1.65

Polysulfone

Udel P-1700

Amoco Performance

1.24

1.633

Polyarylate

1.27

Index nD 1.658

Durel 400

Hoecsht Celanese

1.21

1.61

Ardel D-100

Amoco Performance

1.21

1.61

Poly α-methylstyrene

Resin 18

Amoco Chemical

1.075

1.61

Polyamide, amorphous nylon

Durethan T40

Miles Inc.

1.185

1.590

Aliphatic/aromatic

22.5

(Bayer AG)

Polystyrene (PS)

Styron

Dow

1.06

1.589

Polyamide, amorphous nylon

Zytel 330

DuPont

1.18

1.588

Polycarbonate (PC)

Abbe νD

31

Calibre

Dow

1.20

1.586

30

Lexan

G.E. Plastics

1.20

1.586

30.3

Makrolon

Miles Inc.

1.2

1.586

30

Polystyrene co-maleic anhydride (SMA)

Dylark 232

Arco

1.08

1.586

31.8

Modified polyestercarbonate

Lexan SP

G.E. Plastics

1.18

1.582

Polystyrene-butadiene copolymer

K Resin

Phillips 66

1.01

1.571

Polystyrene-

Lustran

Monsanto

1.07

1.57

coacrylonitrile (SAN)

Lustran Sparkle

Monsanto

1.07

1.57

Tyril 990

Dow

1.07

1.57

Polyester (PETG)

Kodar 6763

Eastman

1.27

1.567

Polyamide, amorphous (nylon type 6/3)

Trogamid T

Huls-America

1.12

1.566

Polystyrene co-methylmethacrylate (2:1) (SMMA)

NAS 30

Novacor

1.09

1.564

Epoxy casting resin

OS-4000

Dexter Corp. (Hysol)

A = 1.15

A = 1.563

B = 1.22

B = 1.565

Amorphous polyolefin

35.3

35

APO

Mitsui Petrochem.

1.05

1.54

Cycolac CTBZ

G.E. Plastics

1.07

1.536

Polyamide, amorphous (nylon type 12)

Grilamid

EMS-AmericaGrilon

1.06

1.535

Polystyrene comethylmethacrylate (1:2)

NAS-55

Novacor

1.13

1.535

41.15

ZEONEX

Zeon Chemicals

1.01

1.528

55.7

from dicyclopentadiene Acrylonitrile-butadiene-

35

styrene terpolymer (ABS)

(SMMA) Amorphous polyolefin (APO)

© 2003 by CRC Press LLC

Section 3: Polymeric Materials

297

Properties of optical plastics–I—continued Polymer

Trade name

Manufacturer

Density (g/cm3)

Index nD

Abbe νD

Dicyclopolyolefin

Telene

B F Goodrich

1.0

1.528

55.3

Epoxy molding compound

MG-18

Dexter Corp. (Hysol)

1.35

1.52

Tricyclodecyl

OZ-1000

Hitachi Chemical

1.16

1.500

Low moisture acrylic

WF-201

Mitsubishi Rayon

1.495

58

Allyl diglycol carbonate

CR-39

PPG Industries

1.32

1.498

59.3

Polymethylmethacrylate

Plexiglas

Rohm and Haas

1.19

1.491

57.4

PMMA, acrylic

Acrylite

Cyro

1.19

1.491

57.4

CP

ICI

1.18

1.491

57.4

Perspex

ICI

1.18

1.491

57.4

Shinkolite P

Mitsubishi Rayon

1.19

1.491

57.4

57

co-methacrylate (TCDMA)

Polymethylmethacrylate impact modified, 20%

MI-7

Rohm and Haas

1.17

1.49

impact modified, 40%

DR-G

Rohm and Haas

1.15

1.49

Poly(4-methylpentene-1)

TPX RT-18

Mitsui Plastics

0.833

1.463

56.3

Cellulose acetate butyrate

Tenite

Eastman

1.15–1.2

1.46–1.49

51.9

Teflon AF 1600

DuPont

1.8

1.32

92

(CAB) Fluoropolymer (TPFE)

Optical Transmission Optical plastics transmit well in the visible and the near infrared, but absorb strongly in the ultraviolet (fluoropolymers are an exception) and throughout the infrared. Most plastics degrade somewhat both in physical and optical properties when exposed to ultraviolet radiation.

Transmission spectra of optical plastics. sample thickness: 3.2 mm.

© 2003 by CRC Press LLC

298

Handbook of Optical Materials Properties of Optical Plastics–II Polymer

Relative hazea

Hueb

Deflect.c temp. (˚C)

Comments

Polyetherimide (PEI)

light

amber

200

Good thermal/chemical resistance, high color but good in near IR

Polyarylsulfone Polyurethane

light light

yellow colorless

204 88

Polysulfone

light

yellow

174

Polyarylate

noticeable

light straw

158

Tough Can be custom tailored, good chemical resistance Good thermal and moisture stability, high temperature High temperature, good UV resistance

Poly α-methylstyrene

slight

colorless

n/a

Brittle, can be modifier for K resin

Polyamide, amorphous nylon

slight

light straw

110

Tough, hard

Polystyrene (PS)

low

colorless

82110

Polyamide, amorphous nylon

noticeable

colorless

123

Low haze grades available Good abrasion resistance, moisture sensitive

Polycarbonate (PC)

slight

light straw

123129

Very tough, high impact

Polystyrene co-maleic anhydride (SMA)

slight

colorless

96

Brittle

Modified polyestercarbonate Polystyrene-butadiene copolymer

slight noticeable

light straw light straw

107 76

Processes at lower temperature Tough

Polystyrene-coacrylonitrile ∂8 (SAN)

slight

light straw

93104

Tougher than polystyrene

Polyester (PETG) Polyamide, amorphous (nylon type 6/3)

slight noticeable

light straw straw

70 124

Film extruding Good abrasion resistance

Polystyrene co-methylmethacrylate (2:1) (SMMA) Amorphous polyolefin from dicyclopentadiene Acrylonitrile-butadienestyrene terpolymer (ABS) Polyamide, amorphous (nylon type 12) Polystyrene co-methylethacrylate (1:2) (SMMA)

slight

colorless

98

Optical quality

n/a

n/a

Tg = 141

Optical quality, very low moisture

noticeable

yellow

79

Tough

noticeable

straw

150

Good abrasion resistance

slight

colorless

99

Optical quality

Amorphous polyolefin (APO)

slight

light straw

123

Optical quality

Dicyclopolyolefin

slight

light straw

107

Very low moisture (0.01%)

Epoxy molding compound

slight

colorless

120

Semiconductor embedment

Tg = 110

Two-part casting resin

Tricyclodecyl co-methacrylate (TCDMA)

low

colorless

Low moisture acrylic

sligth

light straw

Allyl diglycol carbonate

low

light straw

Epoxy casting resin

© 2003 by CRC Press LLC

Lower moisture than PMMA (1.2%) 103

Optical quality

91

Cast thermoset, hard

55–65

Ophthalmic use

Section 3: Polymeric Materials

299

Properties of optical plastics–II—continued Relative hazea

Polymer

Hueb

Polymethylmethacrylate

low to

light straw

PMMA, acrylic

slight

to colorless

light light

Poly(4-methylpentene-1)

Cellulose acetate butyrate (CAB) Fluoropolymer (TPFE)

Impact modified, 20% Impact modified, 40%

Deflect.c temp. (˚C)

Comments

72–102

Optical quality, hard, widely used, scratch resistant

colorless colorless

85 79

Tougher than PMMA Tough, will creep with mild force

slight

colorless

90 at 66 psi

Unusual properties, lowest density of all thermoplastics, infrared transmission, very tough

noticeable

light straw

43–88

Tough

noticeable

colorless

154

Very low index of refraction, good ultraviolet transmission.

aRelative haze estimates: low (<0.7%); slight (to 1.5 %); light (to 3%); noticeable (>3%). bHue (yellowness) estimates: colorless, light straw, straw, yellow, amber. cHeat deflection temperature at 264 psi.

The above tables are from D. Keyes, Optical plastics, Handbook of Laser Science and Technology, Suppl. 2: Optical Materials (CRC Press, Boca Raton, FL, 1995), pp. 85–94.

Loss Contributions (in dB/km) for PS, PMMA, and PMMA-d8 Core Fibers Core material

PS

PMMA

PMMA-d8

Wavelength (nm)

552

580

624

672

518

567

650

680

780

850

Total loss Absorption Electronic transition tail Rayleigh scattering Structural imperfections Loss limit

162 0 22 95 45 117

138 4 11 78 45 93

129 22 4 58 45 84

114 24 2 43 45 69

57 1 0 28 28 29

55 7 0 20 28 27

128 88 0 12 28 100

20 0 0 10 10 10

25 9 0 6 10 15

50 36 0 4 10 40

Source: Kaino, T., Fujiki, M., and Jinguji, K., Preparation of plastic optical fibers, Rev. Electr. Commun. Lab. 32, 478 (1984).

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Handbook of Optical Materials

3.2 Index of Refraction Index of Refraction of Common Optical Plastics Wavelength (nm) 365.0 404.7 435.8 480.0 486.1 546.1 587.6 589.3 643.9 656.3 706.5 852.1 1014.0 Abbe number

PMMA

Polystyrene

Polycarb.

SAN

1.5136 1.5066 1.5026 1.4983 1.4978 1.4938 1.4918 1.4917 1.4896 1.4892 1.4878 1.4850 1.4831

1.6431 1.6253 1.6154 1.6052 1.6041 1.5950 1.5905 1.5903 1.5858 1.5849 1.5820 1.5762 1.5726

1.6432 1.6224 1.6115 1.6007 1.5994 1.5901 1.5855 1.5853 1.5807 1.5799 1.5768 1.5710 1.5672

1.6125 1.5971 1.5886 1.5800 1.5790 1.5713 1.5674 1.5673 1.5634 1.5627 1.5601 1.5551 1.5519

57.4

30.9

29.9

34.8

PEI

NAS

— — — 1.687 — 1.668 1.660

TPFE

1.651 — — — —

— — — — 1.574 — — 10564 — 1.558 — — —

— — — — — — — 1.31 — — — — —

18.3

34.7

92

Adapted from a table of J. D. Lytle, Handbook of Optics, Vol. II (McGraw-Hill, New York, 1995), Chapter 34 ( with additions).

Being carbon-based materials, the index of refraction and dispersion of polymers differ significantly from those of glasses and crystals. The locations of optical plastics relative to optical glasses are shown in the refractive index–Abbe number diagram below. 2.0

1.9

TaSF LaSF

1.8

LaSK TaF

Refractive index nd

LaF

NbF 1.7

SFS

LaK

BaSF BaF

SK

1.6

PSK FZ

1.5 FP

PK FK

SSK

F

KzFS BaLF

SF

PEI p-sulfone p-styrene

LF

p-carbonate BaK SAN LLF KF NAS-55 ABS K BK CR-39 CR-39 PMMA TPX

1.4 fluoropolymer (TPFE) 1.3 100

© 2003 by CRC Press LLC

80

60 Abbe number νd

40

20

Section 3: Polymeric Materials

3.3 Nonlinear Optical Properties Abbreviations 3-BCMUr 3-DDCTP 4-BCMUr 4-BCMUy AO AY BBB BBL BBPEN BSQ DCV DEANS DNBA DNTA DR1 ISQ LTFPG MDCB MDNB Mg:OPTAP MNA MV757 NFAI NPCV OMPS PBT PC PDES PDTT PMMA PPMS PPV PS PT PTS PTS-PDA PVK rB SiNc SiPc TCDU: TCV TNF TPO-N

© 2003 by CRC Press LLC

Material Red form of poly-3-BCMU Poly(3-dodecylthiophene) Red form of poly-4-BCMU Yellow form of poly-4-BCMU Acridine orange Acridine yellow Poly(6,9-dihydro-6,9-dioxobisbenzimidazo[2,1b:1',2'j]benzo[1mn] [3,8]phenanthroline-3,12-diyl) Poly{(7-oxo-7,10H-benz[de]imidazo[4',5':5,6]benzimidazo[2,1a]isoquinoline 3,4:10,11-tetrayl)-10-carbonyl} Bis[n-butyl, 2-phenyl-1,2-ethenedithiolato(2-)-S,S'] nickel 1,3-Bis(4'-N,N-dibutylamino-2'-hydroxyphenyl)-cyclobutene-2,4-dione 4-N,N-Diethylamino-4'-b,b-dicyanovinyl (azobenzene) 4-Diethylamino-4'-nitrostilbene 4-Nitrobenzylidenyl (4'-N,N-dimethylaminoanilide) 4-Nitrothenylidenyl (4'-N,N-dimethylaminoanilide) Disperse red 1 1,3-Bis(3',3'-dimethyl-2'-indoleninylidenyl)-cyclobutene-2,4-dione Lead-tin fluorophosphate glass m-Dicyanobenzene m-Dinitrobenzene Magnesium octaphenyl tetra-azaporphyrin 2-Methyl-4-nitroaniline MV757 commercial epoxy resin 5-Nitro(2-furanacroleindenyl (4'-N,N-dimethylaminoanilide) 4-N,N-Dibutylamino-4'-(b-cyano-b-(4≤-nitrophenyl) vinyl) (azobenzene) Poly(n-octylmethylpolysilane Poly-p-phenylenebenzobisthiazole Polycarbonate Polydiethynylsilane Polydithieno(3,2-b,2',3'-b)thiophene Poly(methyl) methacrylate Polyphenylmethylsilane Poly ( p-phenylene vinylene) Polysilane Polythiophene Bis-( p-toluene sulfonate) of 2,4-hexadiyne-1,6 diol (polydiacetylene) Single crystal poly PTS polydiacetylene Poly-N-ninyl carbazole Rhodamine B Silicon naphthalocyanine Silicon phthalocyanine Bis-(phenylurethane) of 5,7-dodecadiyne-1,2-diol (polydiacetylene) 4-N,N-Diethylamino-4'-tricyanovinyl (azobenzene) 2,4,7-Trinitrofluorenone Thiophene oligomer with N units

301

302

Handbook of Optical Materials Bulk Two-Photon Absorption Coefficients

Material

Excitation duration(ns)

Applied two-photon energy (eV)

Two-photon cross section (cm/GW)

Ref.

Additional information

3-BCMU

0.033

2.33

0.52

33

Benzene chloride 2.3% blue gel

4-BCMU

0.033

2.33

0.76

33

Benzene chloride 1.7% red gel

4-BCMU

0.033

2.33

<0.1

33

14% yellow form solution in DMF

4-BCMU

0.06

1.88

<0.25

34

Polymer waveguide

PPV

0.00006

4

6.8

35

PTS

0.015

2.28

28

36

PPV in silica solgel Pump @1.17 eV

PTS

0.015

2.55

300

36

Pump @1.17 eV

PTS

0.015

2.78

500

36

Pump @1.17 eV

PTS

0.015

2.96

900

36

Pump @1.17 eV

TCDU

0.015

2.2

1

36

Pump @0.81 eV

TCDU

0.015

2.3

14

36

Pump @1.17 eV

TCDU

0.015

2.4

3

36

Pump @0.81 eV

TCDU

0.015

2.6

6.4

36

Pump @0.81 eV

TCDU

0.015

2.6

54

36

Pump @1.17 eV

TCDU

0.015

2.9

80

36

Pump @1.17 eV

From Garito, A. E. and Kuzyk, M. G., Two-photon absorption: organic materials, Handbook of Laser Science and Technology, Suppl. 2: Optical Materials (CRC Press, Boca Raton, FL, 1995), p. 329.

Techniques for Measuring Nonlinear Refraction Abbreviation DFWM KE MSI OKE SA TBC TRI

Method Degenerate four-wave mixing DC Kerr effect Modified Sagnac interferometry Optical Kerr effect Saturated absorption Two-beam coupling Time-resolved interferometry

All measurements in the following tables were made at room temperature.

© 2003 by CRC Press LLC

Ref. 1 2 3 4 5 5 6

Section 3: Polymeric Materials

303

Nonlinear Refraction Data for Polymers ( 3)

( ) ( ) χ1111 − χ1122 (10 – 1 2 c m 3 /erg) R e f . 3

3

Meth.

Pulse duration (ns)

4-BCMUr 4-BCMUy

DFWM DFWM DFWM DFWM DFWM DFWM DFWM DFWM DFWM DFWM

0.0004 0.00006 0.00035 0.00035 0.00035 0.00035 0.00035 0.00035 0.0005 0.0005

620 620 590 602 705 590 602 705 605 605

4-BCMUy

DFWM

0.033

1064

( 3) χ 1212 = 1.4

4-BCMUy

DFWM

0.033

1064

( 3) χ 1212 = 9.0

4-BCMUy BBB BBL BBL BBLc OMPS PBT PDES PDTT PDTT PDTT PDTT PDTT Poly(4-BCMU) PPMS PS PT PT PT PT PT PTS-PDA PTS-PDA PTS-PDA PTS-PDA PTS-PDA PTS-PDA PTS-PDA PTS-PDA a TPO-1 TPO-2 TPO-3 TPO-4 TPO-5 TPO-6

DFWM DFWM DFWM DFWM DFWM DFWM DFWM DFWM DFWM DFWM DFWM DFWM DFWM TRI OKE OKE DFWM DFWM DFWM DFWM DFWM DFWM DFWM DFWM DFWM DFWM DFWM MSI TRI DFWM DFWM DFWM DFWM DFWM DFWM

0.033 0.035 0.025 0.035 0.035 10 0.0005 0.00009 0.008 0.008 0.008 0.008 0.008 0.06 0.003 0.008 0.008 0.008 0.008 0.008 0.008 0.006 0.006 0.006 0.006 0.006 0.006 0.06 0.1 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004

1064 1064 532 1064 1064 532 585–604 620 530 585 605 630 1060 1319 1060,532 1060,532 530 585 605 630 1060 651.5 661 671 681 691 701.5 1060 1060 602 602 602 602 602 602

Material 3-DDCTP 3-DDCTP 3-DDCTPa 3-DDCTPa 3-DDCTPa 3-DDCTPb 3-DDCTPb 3-DDCTPb

Wavelength (nm)

χ 1111

Linear index n

1.585 1.585 1.585 1.61 1.61 1.61

2 2 2 2 2

2 2 2 2 2 3 3 3 3 3 3 3 3 1.529 1.562 1.581 1.600 1.623

(10 – 1 2 c m 3 /erg) 330 55 450 330 40 700 500 40 400 25

5.5 2000 15 20 2.9 9 3000 11,400 7,700 5,500 1,300 30 0.456 2.0 2 6,680 5,000 3,000 700 30 9,000 7,275 2,317 1,025 380 500 1250 6840 0.14 0.50 2.6 11 30 100

7 7 8 8 8 8 8 8 9 9

( 3) χ 1212 = 13 3.7 1300 10 13

10 10 10 11 11 11 11 12 13 14 15 15 15 15 15 16 17 18 15 15 15 15 15 19 19 19 19 19 19 3 20 21 21 21 21 21 21

a Chemically prepared; b Electrochemically prepared; c Electrochemically doped; d Single crystal waveguides.

© 2003 by CRC Press LLC

304

Handbook of Optical Materials Nonlinear Refraction Data for Solid Solutions and Copolymers

Dye

Host

AO AO AY AY BBPEN BEPEN BSQ BSQ DCV DCV DCV DEANS DNBA DNTA DR1 DR1 DR1 ISQ ISQ ISQ ISQ ISQ MDCB MDNB Mg:OPTAP MNA NFAI NPCV PPV

LTFPG LTFPG LTFPG LTFPG PMMA PMMA PMMA PMMA PMMA PMMA PMMA PC PMMA PMMA PMMA PMMA PMMA PMMA PMMA PMMA PMMA PMMA PMMA PMMA PMMA PMMA PMMA PMMA Sol-gel silica Sol-gel silica Sol-gel silica MV757 PMMA PMMA PMMA PVK PVK PVK PVK PVK

PPV PPV rB SiNc SiPcc TCV TNF TNF TNF TNF TNF

Dye density ( 1 0 2 2 cm – 3 )

Meth.

0.00008 0.00008 0.000077 0.000077 saturation saturation 0.0028 0.0028 0.0148 0.0148 0.0148 17 0.0137 0.0276 0.01 0.0244 0.04 0.0019 0.0019 0.0019 0.0019 0.0019 0.109 0.124 5 wt% 0.143 0.0240 0.0119 1:1 by weight

SA TBC SA TBC DFWM DFWM MSIb KE KE KE KE KE KE KE KE KE KE KE KE KE KE KE KE KE DFWM OKEb KE KE DFWM

15,000 15,000 15,000 15,000 0.1 0.1 0.06 8 kHz 8 kHz 8 kHz 8 kHz 500 Hz 8 kHz 8 kHz 8 kHz 8 kHz 8 kHz 8 kHz 8 kHz 8 kHz 8 kHz 8 kHz 8 kHz 8 kHz 0.001 8 kHz 8 kHz 0.00006

514 514 514 514 1064 1064 1064 799 632.8 676 799 597 632.8 632.8 632.8 632.8 632.8 479 570 632.8 680 799 632.8 632.8 598 1064 632.8 632.8 620

1:1 by weight

DFWM

0.0004

1:1 by weight

OKE

0.0077 M/l 30 wt% 10 wt% 0.0218 1:2 molar ratio 1:4 molar ratio 1:8 molar ratio 1:16 molar ratio 1:32 molar ratio

DFWM DFWM DFWM KE DFWM DFWM DFWM DFWM DFWM

Pulse (ns)

Wavelength (nm)

(3) χ1111 Linear ( 1 0 – 1 2 i n d e x c m 3/erg) R e f .

3 x 1010 4 x 1010 6 x 1010 2 x 1010 29.9 131 2.8 0.97a 1.8a 0.53a 0.156a 6 0.093a 0.282a 0.23a 0.51a 0.84a 0.263a 0.341a 0.155a 0.418a 0.387a 0.0274a 0.0205a 11.7 2.08 0.471a 0.315a 45

22 22 22 22 23 23 24 25 26 26 26 27 26 26 26 26 26 26 26 26 26 26 26 26 28 29 26 26 30

608

91

30

0.00006

620

38

30

0.00035 0.001 0.001 8 kHz 0.002 0.002 0.002 0.002 0.002

595 598 598 632.8 602 602 602 602 602

10.7 20.9 94 3.9a

31 28 28 26 32 32 32 32 32

1.77 1.77 1.77 1.77 1.49 1.49 1.48 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.48 1.5 1.5 1.5

1.81 1.434 1.42 1.5

20 12 7.4 3.4 2.0

a Assumes χ(3)1111 = 3 χ(3)1133. b Waveguide measurement; c Copolymer. From Garito, A. E. And Kuzyk, M. G., Nonlinear refractive index: organic materials, Handbook o f Laser Science and Technology, Suppl. 2 (CRC Press, Boca Raton, FL 1995), p. 289.

© 2003 by CRC Press LLC

Section 3: Polymeric Materials

305

References: 1. 2. 3.

4. 5. 6.

7.

8. 9.

10. 11.

12.

13.

14.

15.

16.

17.

18.

Friberg, S. R., and Smith, P. W., Nonlinear optical glasses for ultrafast optical switches, IEEE J. Quantum Electron. QE-23, 2089 (1987). Hellwarth, R. W., and George, N., Nonlinear refractive indices of CS2-CCl4 mixtures, Opt. Electron. 1, 213 (1969). Gabriel, M. C., Whitaker, Jr., N. A., Dirk, C. W., Kuzyk, M. G., and Thakur, M., Measurement of ultrafast optical nonlinearities using a modified Sagnac Interferometer, Opt. Lett. 1 6 (17), 1334 (1991). Ho, P. P., and Alfano, R. R., Optical Kerr effect in liquids, Phys. Rev. A 20(5), 2170 (1979). Tompkin, W. R., Boyd, R. W., Hall , D. W., Tick, P. A., J. Opt. Soc. Am. B 4 (6), 1030 (1987). Milam, D., and Weber, M. J., Measurement of nonlinear refractive-index coefficients using time-resolved interferometry: application to optical materials for high-power neodymium laser, J. Appl. Phys. 47(6), 2497 (1976). Pang, Y., and Prasad, P. N., Photoinduced processes and resonant third-order nonlinearity i n poly(3-dodecylthiophene) studied by femtosecond time resolved degenerate four wave mixing, J. Chem. Phys. 93(4), 2201 (1990). Singh, B. P., Samoc, M., Nalwa, H. S., and Prasad, P. N., Resonant third-order nonlinear optical properties of poly(3-dodecylthiophene), J. Chem. Phys. 92 (5), 2756 (1990). Rao, D. N., Chopra, P., Goshal, S. K., Swiatkiewicz, J., and Prasad, P. N., Third-order nonlinear optical interaction and conformational transition in poly-4-BCMU polydiacetylene studied by picosecond and subpicosecond degenerate four wave mixing, J. Chem. Phys. 84(12), 7049 (1986). Nunzi, J. M., and Grec, D., Picosecond phase conjugation in polydiacetylene gels, J. Appl. Phys. 62(6), 2198 (1987). Lindle, J. R., Bartoli, F. J., Hoffman, C. A., Kim, O.-K., Lee, Y. S., Shirk, J. S., and Kafafi, Z. H., Nonlinear optical properties of benzimidazobenzophenanthroline type ladder polymers, Appl. Phys. Lett. 56(8), 712 (1990). McGraw, D. J., Siegman, A. E., Wallraff, G. M., and Miller, R. D., Resolution of the nuclear and electronic contributions to the optical nonlinearity in polysilanes, Appl. Phys. Lett. 54(18), 1713 (1989). Rao, D. N., Swiatkiewicz, J., Chopra, P., Ghoshal, S. K., and Prasad, P. N., Third order nonlinear optical interactions in thin films of poly-p-phenylenebenzobisthiazole polymer investigated by picosecond and subpicosecond degenerate four wave mixing, Appl. Phys. Lett. 48(18), 1187 (1986). Wong, K. S., Han, S. G., Vardeny, Z. V., Shinar, J., Pang, Y., Ijadi-Maghsoodi, S., Barton, T. J., Grigoras, S., and Parbhoo, B., Femtosecond dynamics of nonlinear optical response i n polydiethynylsilane, Appl. Phys. Lett. 58(16), 1695 (1991). Dorsinville, R., Yang, L., Alfano, R. R., Zamboni, R., Danieli, R., Ruani, G., and Taliani, C., Nonlinear-optical response of polythiophene films using four-wave mixing techniques, Opt. Lett. 14(23), 1321 (1989). Rochford, K., Zanoni, R., Stegeman, G. I., Krug, W., Miao, E., and Beranek, M. W., Measurement of nonlinear refractive index and transmission in polydiacetylene waveguides at 1.319 µm, Appl. Phys. Lett. 58(1), 13 (1991). Yang, L., Wang, Q. Z., Ho, P. P., Dorsinville, R., Alfano, R. R., Zou, W. K., and Yang, N. L., Ultrafast time response of optical nonlinearity in polysilane polymers, Appl. Phys. Lett. 53(14), 1245 (1988). Yang, L., Dorsinville, R., Wang, Q. Z., Zou, W. K., Ho, P. P., Yang, N. L., and Alfano, R. R., Third-order optical nonlinearity in polycondensed thiophene-based polymers and polysilene polymers, J. Opt. Soc. Am. B 6(4), 753 (1989).

© 2003 by CRC Press LLC

306 19.

20. 21.

22. 23.

24.

25. 26. 27.

28. 29. 30.

31. 32.

33. 34.

35.

36.

Handbook of Optical Materials Carter, G. M., Thakur, M. K., Chen, Y. J., and Hryniewicz, J. V., Time and wavelength resolved nonlinear optical spectroscopy of a polydiacetylene in the solid state using picosecond dye laser pulses, Appl. Phys. Lett. 47 (5), 457 (1986). Krol, D. M., and Thakur, M., Measurement of the nonlinear refractive index of single-crystal polydiacetylene channel waveguides, Appl. Phys. Lett. 56(15), 1406 (1990). Zhao, M.-T., Singh, B. P., and Prasad, P. N., A systematic study of polarizability and microscopic third-order optical nonlinearity in thiophene oligomers, J. Chem. Phys. 89 (9), 5535 (1988). Tompkin, W. R., Boyd, R. W., Hall , D. W., Tick, P. A., J. Opt. Soc. Am. B 4, 1030 (1987). Winter, C. S., Oliver, S. N., Rush, J. D., Hill, C. A. S., and Underhill, A. E., Large third-order optical nonlinearities of nickel-dithiolene-doped polymethylmethacrylate, J. Appl. Phys. 71(1), 512 (1992). Gabriel, M. C., Whitaker, Jr., N. A., Dirk, C. W., Kuzyk, M. G., and Thakur, M., Measurement of ultrafast optical nonlinearities using a modified Sagnac Interferometer, Opt. Lett. 16(17), 1334 (1991). Kuzyk, M. G., Paek, U. C., and Dirk, C. W., Appl. Phys. Lett. 59(8), 902 (1991). Kuzyk, M. G., Sohn, J. E., and Dirk, C. W., Mechanisms of quadratic electrooptic modulation of dye-doped polymer systems, J. Opt. Soc. Am. B 5(5), 842 (1990). Uchiki, H., and Kobayashi, T., New determination method of electro-optic constants and relevant nonlinear susceptibilities and its application to doped polymer, J. Appl. Phys 64(5), 2625 (1988). Norwood, R. A., and Sounik, J. R., Third-order nonlinear-optical response in polymer thin films incorporating porphyrin derivatives, Appl. Phys. Lett. 60(3), 295 (1992). Goodwin, M. J., Edge, C., Trundle, C., and Bennion, I., Intensity-dependent birefringence i n nonlinear organic polymer waveguides, J. Opt. Soc. Am. B 5(2), 419 (1988). Pang, Y., Samoc, M., and Prasad, P. N., Third-order nonlinearity and two-photon-ionduced molecular dynamics: femtosecond time-resolved transient absorption, Kerr gate, and degenerate four-wave mixing studies in poly (p-phenylene vinylene)/sol-gel silica film, J. Chem. Phys. 94(8), 5282 (1991). Rossi, B., Byrne, H. J., and Blau, W., Degenerate four-wave mixing in rhodamine doped epoxy waveguides, Appl. Phys. Lett. 58(16), 1712 (1991). Ghoshal, S. K., Chopra, P. C., Singh, B. P., Swiatkiewicz, J., and Prasad, P. N., Picosecond degenerate four-wave mixing study of nonlinear optical properties of the poly-N-vinyl carbazole: 2,4,7-trinitrofluorenone composite polymer photoconductor, J. Chem. Phys. 90(9), 5078 (1989). Nunzi, J. M., and Grec, D., Picosecond phase conjugation in polydiacetylene gels, J. Appl. Phys. 62(6), 2198 (1987). Rockford, K., Zanoni, R., Stegeman, G. I., Krug, W., Miao, E., and Beranek, M. W., Measurement of nonlinear refractive index and transmission in polydiacetylene waveguides, Appl. Phys. Lett. 58(1), 13 (1991). Pang, Y., Samoc, M., and Prasad, P. N., Third-order nonlinearity and two-photon-induced molecular dynamics: femtosecond time-resolved transient absorption, Kerr gate, and degenerate four-wave mixing studies in poly(p-phenylene vinylene)/sol-gel silica film, J. Chem. Phys. 94(8), 5282 (1991). Lequime, M. and Hermann, J. P., Reversible creation of defects by light in one dimensional conjugated polymers, Chem. Phys. 26, 431 (1977).

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Section 3: Polymeric Materials

307

3.4 Thermal Properties Thermal Properties of Common Plastics Thermal conductivity (W m – 1 K– 1 )

Material

Linear thermal expansion ( 1 0 – 5 K– 1 )

Refractive index dn/dT (10– 4 K –1)

Maximum service temp. (K)

polymethylmethacrylate

0.16–0.24

3.6–6.5

–1.05

360

polystyrene

0.10–0.13

6.0–8.0

–1.2– –1.4

350

NAS

0.18

5.6–6.5

styrene acrylonitrile (SAN)

0.11

6.4–6.7

–1.1

350

polycarbonate

0.19

6.6–7.0

–1.07– –1.43

390

polymethyl pentene (TPX)

0.16

polyamide (Nylon)

0.2–0.23

360

11.7

385

8.2

350

polyarylate

0.28

6.3

polysulfone

0.11

2.5

polyallyl diglycol carbonate

0.20

12.0

370

cellulose acetate butyrate

0.16–0.32

polyethersulfone

0.13–0.17

5.5

470

polychloro-trifluoroethelyne

0.25

polystyrene co-butadiene

430

7.8–12

4.7

470

polyvinylidene fluoride

7.4–13

420

polyetherimide

5.6

440

From a table of J. D. Lytle, Handbook of Optics, Vol. II (McGraw-Hill, New York, 1995), Chapter 34 (with additions).

3.5 Engineering Data Engineering Data for Transparent Polymers–I Tensile strength Manufacturer yield psi

Tensile modulus 1 0 5 , psi

Flexural Impact modulus s t r e n g t h 1 0 5 , psi ( I z o d )

Magnum

Dow

7300

3.8

4.2

2

Cycolac

GE Plastics

Plexiglas

Rohm & Haas

9400–10800

4.5–4.7

2.5–4.5

0.4–1.2

CP

ICI

Acrylite

CYRO

Lucite

Dupont

Generic family Transparent ABS

Acrylic (PMMA)

Trade name

Allyl diglycol carbonate CR-39 Cellulosics (acetate, Tenite butyrate, proponiate)

PPG

5500

3

2.5–3.3

0.2–0.4

Eastman

2000–7800

0.6–2.15

1.5–3.4

1.5–7.8

Nylon, amorphous

Zytel 330

Dupont

9800–11000

4. 05

3.86

1.8–2.8

Grilamid

EMS

Trogamid T

Huls America

© 2003 by CRC Press LLC

308

Handbook of Optical Materials Engineering Data for Transparent Polymers–I—continued Generic family

PET

Trade name

Tensile strength Manufacturer yield psi

Kodapak

Eastman

Petlon

Miles Inc.

Selar

Dupont

PETG

Kodar

Polyarylate

T e n s i l e Flexural Impact modulus modulus s t r e n g t h 1 0 5 , psi 1 0 5 , psi (Izod)

8500–10500

4–6

3.5–4.5

0.25–0.7

Eastman

7100

2.5

2.9

1.7

Durel

Hoescht Celanese

9500–10500

2.9–3.05

3.3

4.2–5.5

Arylon

Dupont

Ardel

Amoco

9000–10500

3.4

3.5

14–18

Performance Polycarbonate

Calibre

Dow

Markrolon

Miles Inc. (Bayer)

Lexan

GE Plastics

Polyetherimide

Ultem

GE Plastics

15200

4.3

4.8

0.6–1.0

Polyester (polypthalate)

Lexan PPC

GE Plastics

9500

n/a

2.94–3.38

10

carbonate Polyethersulfone

Victrex

ICI

12200

n/a

3.73

1.6

Poly-4-methylpentene-1

TPX

Mitsui Plastics

3000

2

n/a

2.0–3.0

Polyphenylsulfone

Radel

Amoco Performance

10400

3.1

0.124

12

Polystyrene

Styron

Dow

5000–12000

4–5

4–4.7

0.25–0.4

Polystyrol

BASF

Hostyren

Hoescht Celanese

Bapolan

Bamberger

polystyrene

Chevron

polystyrene

Dart, Mobil

polystyrene

Amoco, Novacor

polystyrene

Huntsman

Polysulfone

Udel

Amoco

10200

3.6

3.9

1.3

PVC, rigid

Geon

B.F. Goodrich

6000–7700

3.6–3.7

3.6–5

0.5–1.6

PVC, rigid

Georgia Gulf

Oxyblend

Occidental

Unichem

Colorite

Styrene acronylitrile)

Tyril

Dow

9000–1200

4–5.6

5–5.5

0.35–0.5

(SAN

Lustran

Monsanto

Styrene butadiene Styrene maleic anhydride

Luran

BASF

Blendex

GE Plastics

K Resin Dylark

Phillips Arco

4000 7400

1.8 4.4

2.4 4.6–4.9

0.25–0.40 0.4

Novacorp Dow

9000 9000

4.5–5.0 2.6

3.5–3.9 3.4

0.2–0.3

Styrene methylmethacrylate NAS Thermoplastic Isoplast 301 polyurethane, rigid

© 2003 by CRC Press LLC

1.5

Section 3: Polymeric Materials

309

Engineering Data for Transparent Polymers–II Chemical Generic family Transparent ABS

Trade name Magnum

A l i p h . Arom. C o n c . HC HC base

resistance C o n c . Dilute Dilute i n o r g . i n o r g . acid acid base

F

P

G

G

P

G

G

P

F/P

G

P

G

Cycolac Acrylic (PMMA)

Plexiglas CP Acrylite Lucite

Allyl diglycol carbonate Cellulosics (acetate, butyrate, proponiate)

CR-39 Tenite

G F

G P

G P

G F

G P

G F

Nylon, amorphous

Zytel 330

EX

EX

G

EX

P

F

G

P/F

P

F

G/F

G

Grilamid Trogamid T PET

Kodapak Petlon Selar

PETG

Kodar

G

P/F

P

F

G/F

G

Polyarylate

Durel

P/F

P

P

N/A

F

G

F

P

P

P/F

F

G

Arylon Ardel Polycarbonate

Calibre Markrolon Lexan

Polyetherimide

Ultem

EX

EX

N/A

N/A

EX

EX

Polyester (polypthalate)

Lexan PPC

F

F/P

P

F

F

G

Polyethersulfone

Victrex

G

F

G

G

G

G

Poly-4-methylpentene-1

TPX

F

P

EX

EX

EX

EX

Polyphenylsulfone

Radel

G

P

G

G

N/A

N/A

Polystyrene

Styron

P

P

G

G

EX

G

carbonate

Polystyrol Hostyren Bapolan polystyrene Polysulfone

Udel

P/F

P

EX

EX

EX

EX

PVC, rigid

Geon

G

P

EX

EX

G

EX

Oxyblend Unichem

© 2003 by CRC Press LLC

310

Handbook of Optical Materials Engineering Data for Transparent Polymers–II—continued Chemical

Generic family Polyarylate

Trade name Durel

resistance C o n c . Dilute A l i p h . Arom. C o n c . Dilute i n o r g . i n o r g . acid acid HC HC base base P/F

P

P

N/A

F

G

F

P

P

P/F

F

G

Arylon Ardel Polycarbonate

Calibre Markrolon Lexan

Polyetherimide

Ultem

EX

EX

N/A

N/A

EX

EX

Polyester (polypthalate)

Lexan PPC

F

F/P

P

F

F

G

Polyethersulfone

Victrex

G

F

G

G

G

G

Poly-4-methylpentene-1

TPX

F

P

EX

EX

EX

EX

Polyphenylsulfone

Radel

G

P

G

G

N/A

N/A

Polystyrene

Styron

P

P

G

G

EX

G

carbonate

Polystyrol Hostyren Bapolan polystyrene Polysulfone

Udel

P/F

P

EX

EX

EX

EX

PVC, rigid

Geon

G

P

EX

EX

G

EX

G

P

G

G

G

G

P F/G

P P

P G

F/G P

P F

F/G G

Styrene methylmethacrylate NAS

F/P

P

F

G

F

G

(SMMA) Thermoplastic polyurethane, rigid

EX

EX

EX

EX

F/G

EX

PVC, rigid Oxyblend Unichem Styrene acronylitrile (SAN)

Tyril Lustran Luran Blendex

Styrene butadiene Styrene maleic anhydride (SMA)

K Resin Dylark

Isoplast 301

Chemical resistance codes: Aliphatic hydrocarbons; aromatic hydrocarbons; concentrated base; dilute base; concentrated inorganic acid; dilute inorganic acid. Excellent; Good; Fair; Poor.

The above tables are from Keyes, D., Optical plastics, Handbook of Laser Science and Technology, Suppl. 2: Optical Materials (CRC Press, Boca Raton, FL, 1995), pp. 85–94.

© 2003 by CRC Press LLC

Section 4: Metals

4.1 4.2 4.3 4.4 4.5

Physical Properties of Selected Metals Optical Properties Mechanical Properties Thermal Properties Mirror Substrate Materials

© 2003 by CRC Press LLC

Section 4: Metals

313

Section 4 METALS Metals are used in optical systems as reflective optical components, optical thin films, structural elements, and mirror substrates. For these optical applications only a limited number of metals are useful. The materials and properties included in this section are therefore necessarily selective. Depending upon the application, various physical, optical, mechanical, and thermal properties are of interest; for example, structural stiffness with low mass, thermal diffusivity to reduce thermal gradients and associated distortions, and smooth surface finish to accept of optical coatings. Thermal, elastic, electrical and magnetic properties may be anisotropic, thus crystal structure is also important.

4.1 Physical Properties of Selected Metals Metal

Symbol

Crystal structure

Space group

Aluminum

Al

cubic

Fm3m

Beryllium

Be

hexagonal

P63/mmc

Chromium

Cr

cubic

Copper

Cu

cubic

Atomic weight

Density (g/cm3)

26.98

2.70

9.01

1.85

Im3m

52.00

7.15

Fm3m

63.55

8.96

Germanium

Ge

cubic

Fd3m

72.61

Gold

Au

cubic

Fm3m

196.97

19.3

5.32

Iridium

Ir

cubic

Fm3m

192.22

22.5

Iron

Fe

cubic

Im3m

55.85

Magnesium

Mg

hexagonal

P63/mmc

24.30

Molybdenum

Mo

cubic

Im3m

95.94

7.87 1.74 10.2

Nickel

Ni

cubic

Fd3m

58.69

8.9

Niobium

Nb

cubic

Im3m

92.91

8.57

Osmium

Os

hexagonal

P63/mmc

190.23

22.59

Palladium

Pd

cubic

Fm3m

106.42

12.0

Platinum

Pt

cubic

Fm3m

195.08

21.5

Rhenium

Re

cubic

Fm3m

186.21

20.8

Rhodium

Rh

cubic

Fm3m

102.91

12.4

Silicon

Si

cubic

Fd3m

28.09

2.33

Silver

Ag

cubic

Fm3m

107.87

10.50

Tantalum

Ta

cubic

Im3m

180.95

16.4

Tin

Sn

tetragonal

Fd3m

118.71

7.28

Titanium

Ti

cubic

Im3m

47.88

4.5

183.84

19.3

Tungsten

W

cubic

Im3m

Zinc

Zn

hexagonal

P63/mmc

65.39

7.14

Zirconium

Zr

hexagonal

P63/mmc

91.22

6.51

© 2003 by CRC Press LLC

314

Handbook of Optical Materials Electrical Resistivity of Pure Metals (nohm m)

Temp. (K) Aluminum Beryllium Chromium Copper Gold Iron Molybdenum Nickel Palladium Platinum Silver Tantalum Tungsten Zinc Zirconium

10 0.0010 0.332 — 0.0200 0.226 0.238 0.0089 0.057 0.0242 0.154 0.0115 1.02 0.00137 0.112 0.253

20 0.00755 0.336 — 0.0280 0.35 0.287 0.0261 0.140 0.0563 1.17 0.042 1.46 0.0196 0.387 0.357

80 2.45 0.75 — 2.15 4.81 6.93 4.82 5.45 1.75 19.22 2.89 26.2 6.06 11.5 6.64

200

300

15.87 12.9 77 10.46 14.62 52.0 31.3 36.7 6.88 67.7 10.29 86.6 31.8 38.3 26.3

27.33 376 127 17.25 22.71 99.8 55.2 72.0 10.80 108 16.29 135 54.4 60.6 43.3

400

600

38.7 67.6 158 24.02 31.07 161 80.2 118 14.48 146 22.41 182 78.3 83.7 60.3

61.3 132 247 37.92 48.7 329 131 255 21.2 219 35.3 274 130 134.9 91.5

From the CRC Handbook of Chemistry and Physics, 82nd edition, Lide, D. R., Ed. (CRC Press, Boca Raton, FL, 2001), p. 12-45. Values of resistivity at other temperatures are given in this reference.

4.2 Optical Properties The following tables list the index of refraction n, the extinction coefficient k, and the normal incidence reflection R(φ = 0) as a function of photon energy E expressed in electron volts (eV). The dielectric function ε = ε1 + iε2 can be computed from the complex index of refraction N = n + ik using ε1 = n2 – k2 and ε2 = 2nk. The tables are from Weaver, J. H. and Frederikse, H. P. R., Optical properties of selected elements, in CRC Handbook of Chemistry and Physics, 82nd edition, Lide, D. R., Ed. (CRC Press, Boca Raton, FL, 2001), p. 12-133. The optical constants in these tables are abridged 1-3 from three more extensive tabulations. For critical applications the reader should refer to the original work. References for individual metals are listed at the end of the tables. Generally tabulated values for the optical properties are accurate to better than 10%. Data in parentheses are extrapolated or interpolated values. For most elements the spectral range covered is from the far infrared (0.010 or 0.10 eV) to the far ultraviolet (10, 30, or 300 eV). The intervals between successive energies in the tables are chosen in such a way that the major spectral features are preserved. Tables of n, k, and R(φ = 0) are given for the following metals: Aluminum Chromium Copper Germanium Gold Iridium

© 2003 by CRC Press LLC

Iron Magnesium Molybdenum Nickel Niobium Osmium

Palladium Platinum Rhenium Rhodium Silicon Silver

Tantalum Titanium Tungsten Zinc Zirconium

Section 4: Metals

315

Aluminum4 Energy eV

n

0.040 0.050 0.060 0.070 0.080 0.090 0.100 0.125 0.150 0.175 0.200 0.250 0.300 0.350 0.400 0.500 0.600 0.700 0.800 0.900 1.000 1.100 1.200 1.300 1.400 1.500 1.600 1.700 1.800 1.900 2.000 2.200 2.400 2.600 2.800 3.000 3.200 3.400 3.600 3.800 4.000 4.200 4.400 4.600 4.800 4.000 4.200

98.595 74.997 62.852 53.790 45.784 39.651 34.464 24.965 18.572 14.274 11.733 8.586 6.759 5.438 4.454 3.072 2.273 1.770 1.444 1.264 1.212 1.201 1.260 1.468 2.237 2.745 2.625 2.143 1.741 1.488 1.304 1.018 0.826 0.695 0.598 0.523 0.460 0.407 0.363 0.326 0.294 0.267 0.244 0.223 0.205 0.294 0.267

© 2003 by CRC Press LLC

k 203.701 172.199 150.799 135.500 123.734 114.102 105.600 89.250 76.960 66.930 59.370 48.235 40.960 35.599 31.485 25.581 21.403 18.328 15.955 14.021 12.464 11.181 10.010 8.949 8.212 8.309 8.597 8.573 8.205 7.821 7.479 6.846 6.283 5.800 5.385 5.024 4.708 4.426 4.174 3.946 3.740 3.552 3.380 3.222 3.076 3.740 3.552

R(φ = 0) 0.9923 0.9915 0.9906 0.9899 0.9895 0.9892 0.9889 0.9884 0.9882 0.9879 0.9873 0.9858 0.9844 0.9834 0.9826 0.9817 0.9806 0.9794 0.9778 0.9749 0.9697 0.9630 0.9521 0.9318 0.8852 0.8678 0.8794 0.8972 0.9069 0.9116 0.9148 0.9200 0.9228 0.9238 0.9242 0.9241 0.9243 0.9245 0.9246 0.9247 0.9248 0.9248 0.9249 0.9249 0.9249 0.9248 0.9248

Energy eV

n

k

4.400 4.600 4.800 8.000 8.500 9.000 9.500 10.000 10.500 11.000 11.500 12.000 12.500 13.000 13.500 14.000 14.200 14.400 14.600 14.800 15.000 15.200 15.400 15.600 15.800 16.000 16.200 16.400 16.750 17.000 17.250 17.500 17.750 18.000 18.500 19.000 19.500 20.000 20.500 21.000 21.500 22.000 22.500 23.000 23.500 24.000 24.500

0.244 0.223 0.205 0.072 0.063 0.056 0.049 0.044 0.040 0.036 0.033 0.033 0.034 0.038 0.041 0.048 0.053 0.058 0.067 0.086 0.125 0.178 0.234 0.280 0.318 0.351 0.380 0.407 0.448 0.474 0.498 0.520 0.540 0.558 0.591 0.620 0.646 0.668 0.689 0.707 0.724 0.739 0.753 0.766 0.778 0.789 0.799

3.380 3.222 3.076 1.663 1.527 1.402 1.286 1.178 1.076 0.979 0.883 0.791 0.700 0.609 0.517 0.417 0.373 0.327 0.273 0.211 0.153 0.108 0.184 0.073 0.065 0.060 0.055 0.050 0.045 0.042 0.040 0.038 0.036 0.035 0.032 0.030 0.028 0.027 0.025 0.024 0.023 0.022 0.021 0.021 0.020 0.019 0.018

R(φ = 0) 0.9249 0.9249 0.9249 0.9269 0.9272 0.9277 0.9282 0.9286 0.9293 0.9298 0.9283 0.9224 0.9118 0.8960 0.8789 0.8486 0.8312 0.8102 0.7802 0.7202 0.6119 0.4903 0.3881 0.3182 0.2694 0.2326 0.2031 0.1789 0.1460 0.1278 0.1129 0.1005 0.0899 0.0809 0.0664 0.0554 0.0467 0.0398 0.0342 0.0296 0.0258 0.0226 0.0199 0.0177 0.0157 0.0140 0.0126

316

Handbook of Optical Materials Aluminum4—continued

Energy eV

n

k

R(φ = 0)

Energy eV

n

25.000 25.500 26.000 27.000 28.000 29.000 30.000 35.000 40.000 45.000 50.000 55.000 60.000 65.000 70.000 72.500 75.000 77.500 80.000

0.809 0.817 0.826 0.840 0.854 0.865 0.876 0.915 0.940 0.957 0.969 0.979 0.987 0.995 1.006 1.025 1.011 1.008 1.007

0.018 0.017 0.016 0.015 0.014 0.014 0.013 0.010 0.008 0.007 0.006 0.005 0.004 0.004 0.004 0.004 0.024 0.025 0.024

0.0113 0.0102 0.0092 0.0076 0.0063 0.0053 0.0044 0.0020 0.0010 0.0005 0.0003 0.0001 0.0000 0.0000 0.0000 0.0002 0.0002 0.0002 0.0002

85.000 90.000 95.000 100.000 110.000 120.000 130.000 140.000 150.000 160.000 170.000 180.000 190.000 200.000 220.000 240.000 260.000 280.000 300.000

1.007 1.005 0.999 0.991 0.994 0.991 0.987 0.989 0.990 0.989 0.989 0.990 0.990 0.991 0.992 0.993 0.993 0.994 0.995

0.028 0.031 0.036 0.030 0.025 0.024 0.021 0.016 0.015 0.014 0.011 0.010 0.009 0.007 0.006 0.005 0.004 0.003 0.002

0.0002 0.0002 0.0003 0.0002 0.0002 0.0002 0.0001 0.0001 0.0001 0.0001 0.0001 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000

k

R(φ = 0)

k

R(φ = 0)

Chromium5 Energy eV

n

k

R(φ = 0)

Energy eV

n

0.06 0.10 0.14 0.18 0.22 0.26 0.30 0.42 0.54 0.66 0.78 0.90 1.00 1.12 1.24 1.36 1.46 1.77 2.00 2.20 2.40 2.60

21.19 11.81 15.31 8.73 5.30 3.91 3.15 3.47 3.92 3.96 4.13 4.43 4.47 4.53 4.50 4.42 4.31 3.84 3.48 3.18 2.75 2.22

42.00 29.76 26.36 25.37 20.62 17.12 14.28 8.97 7.06 5.95 5.03 4.60 4.43 4.31 4.28 4.30 4.32 4.37 4.36 4.41 4.46 4.36

0.962 0.955 0.936 0.953 0.954 0.951 0.943 0.862 0.788 0.736 0.680 0.650 0.639 0.631 0.629 0.631 0.632 0.639 0.644 0.656 0.677 0.698

2.80 3.00 3.20 3.40 3.60 3.80 4.00 4.20 4.40 4.50 4.60 4.70 4.80 4.90 5.00 5.10 5.20 5.40 5.60 5.80 6.00 6.20

1.80 1.54 1.44 1.39 1.26 1.12 1.02 0.94 0.90 0.89 0.88 0.86 0.86 0.86 0.85 0.86 0.87 0.93 0.95 0.97 0.94 0.89

© 2003 by CRC Press LLC

4.06 3.71 3.40 3.24 3.12 2.95 2.76 2.58 2.42 2.35 2.28 2.21 2.13 2.07 2.01 1.94 1.87 1.80 1.74 1.74 1.73 1.69

0.703 0.695 0.670 0.657 0.661 0.660 0.651 0.639 0.620 0.607 0.598 0.586 0.572 0.557 0.542 0.523 0.503 0.466 0.443 0.437 0.444 0.446

Section 4: Metals

317

Chromium5—continued Energy eV 6.40 6.60 6.80 7.00 7.20 7.40 7.60 7.80 8.00 8.20 8.50 9.0 9.50 10.00 10.50 11.00 11.50 12.00 12.50 13.00 13.50 14.00 14.50 15.00 15.50 16.00

n 0.85 0.80 0.75 0.74 0.71 0.69 0.66 0.67 0.68 0.71 0.74 0.83 0.92 0.98 1.01 1.05 1.09 1.13 1.15 1.15 1.12 1.09 1.03 1.00 0.96 0.92

k

R(φ = 0)

1.66 1.59 1.51 1.45 1.39 1.33 1.23 1.15 1.07 1.00 0.92 0.81 0.74 0.73 0.72 0.69 0.69 0.70 0.73 0.77 0.80 0.82 0.82 0.82 0.80 0.77

0.447 0.444 0.439 0.425 0.414 0.404 0.378 0.347 0.315 0.278 0.235 0.170 0.132 0.120 0.112 0.103 0.100 0.101 0.108 0.119 0.128 0.135 0.142 0.143 0.141 0.139

Energy eV 16.50 17.00 17.50 18.00 18.50 19.00 20.00 20.5 21.0 21.5 22.0 22.5 23.0 23.5 24.0 24.5 25.0 25.5 26.0 26.5 27.0 27.5 28.0 29.0 30.0

n 0.31 0.90 0.88 0.87 0.84 0.82 0.77 0.76 0.74 0.72 0.71 0.70 0.69 0.68 0.68 0.67 0.68 0.68 0.70 0.71 0.72 0.73 0.75 0.77 0.78

k 0.75 0.73 0.72 0.70 0.69 0.68 0.64 0.63 0.58 0.55 0.52 0.50 0.48 0.45 0.43 0.39 0.36 0.33 0.31 0.28 0.26 0.25 0.23 0.22 0.21

R(φ = 0) 0.134 0.132 0.130 0.129 0.130 0.131 0.130 0.129 0.121 0.116 0.112 0.109 0.105 0.101 0.096 0.089 0.080 0.072 0.063 0.055 0.048 0.043 0.037 0.032 0.030

Copper6 Energy eV 0.10 0.50 1.00 1.50 1.70 1.75 1.80 1.85 1.90 2.00 2.10 2.20 2.30 2.40 2.60 2.80

© 2003 by CRC Press LLC

n

k

R(φ = 0)

29.69 1.71 0.44 0.26 0.22 0.21 0.21 0.22 0.21 0.27 0.47 0.83 1.04 1.12 1.15 1.17

71.57 17.63 8.48 5.26 4.43 4.25 4.04 3.85 3.67 3.24 2.81 2.60 2.59 2.60 2.50 2.36

0.980 0.979 0.976 0.965 0.958 0.956 0.952 0.947 0.943 0.910 0.814 0.673 0.618 0.602 0.577 0.545

Energy eV 3.00 3.20 3.40 3.60 3.80 4.00 4.20 4.40 4.60 4.80 5.00 5.20 5.40 5.60 5.80 6.00

n

k

R(φ = 0)

1.18 1.23 1.27 1.31 1.34 1.34 1.42 1.49 1.52 1.53 1.47 1.38 1.28 1.18 1.10 1.04

2.21 2.07 1.95 1.87 1.81 1.72 1.64 1.64 1.67 1.71 1.78 1.80 1.78 1.74 1.67 1.59

0.509 0.468 0.434 0.407 0.387 0.364 0.336 0.329 0.334 0.345 0.366 0.380 0.389 0.391 0.389 0.380

318

Handbook of Optical Materials Copper6—continued

Energy eV 6.50 7.00 7.50 8.00 8.50 9.00 9.50 10.00 11.00 12.00 13.00 14.00 14.50 15.00 15.50 16.00 17.00 18.00 19.00 20.00 21.00 22.00 23.00 24.00 25.00 26.00 27.00 28.00 29.00 30.00 31.00 32.00 33.00 34.00 35.00 36.00 37.00

n

k

R(φ = 0)

0.96 0.97 1.00 1.03 1.03 1.03 1.03 1.04 1.07 1.09 1.08 1.06 1.03 1.01 0.98 0.95 0.91 0.89 0.88 0.88 0.90 0.92 0.94 0.96 0.96 0.92 0.88 0.86 0.85 0.86 0.88 0.89 0.90 0.91 0.92 0.92 0.92

1.37 1.20 1.09 1.03 0.98 0.92 0.87 0.82 0.75 0.73 0.72 0.72 0.72 0.71 0.69 0.67 0.62 0.56 0.51 0.45 0.41 0.38 0.37 0.37 0.40 0.40 0.38 0.35 0.30 0.26 0.24 0.22 0.21 0.20 0.20 0.19 0.19

0.329 0.271 0.230 0.206 0.189 0.171 0.154 0.139 0.118 0.111 0.109 0.111 0.111 0.111 0.109 0.106 0.097 0.084 0.071 0.059 0.048 0.040 0.035 0.035 0.040 0.044 0.043 0.039 0.032 0.025 0.020 0.017 0.015 0.014 0.013 0.012 0.011

Energy eV 38.00 39.00 40.00 41.00 42.00 43.00 44.00 45.00 46.00 47.00 48.00 49.00 50.00 51.00 52.00 53.00 54.00 55.00 56.00 57.00 58.00 59.00 60.00 61.00 62.00 63.00 64.00 65.00 66.00 67.00 68.00 69.00 70.00 75.00 80.00 85.00 90.00

n

k

R(φ = 0)

0.93 0.93 0.93 0.94 0.94 0.94 0.95 0.95 0.95 0.95 0.95 0.95 0.95 0.95 0.95 0.96 0.96 0.96 0.96 0.96 0.96 0.97 0.97 0.97 0.97 0.96 0.96 0.97 0.97 0.97 0.97 0.97 0.97 0.98 0.98 0.97 0.96

0.18 0.17 0.17 0.16 0.16 0.15 0.15 0.15 0.15 0.14 0.14 0.14 0.13 0.13 0.13 0.12 0.12 0.12 0.11 0.11 0.11 0.11 0.11 0.11 0.11 0.10 0.10 0.10 0.10 0.09 0.09 0.09 0.09 0.09 0.09 0.09 0.08

0.010 0.009 0.009 0.008 0.007 0.007 0.007 0.006 0.006 0.006 0.006 0.005 0.005 0.005 0.005 0.004 0.004 0.004 0.004 0.004 0.004 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.002 0.002 0.002 0.002 0.002 0.002 0.002

n

k

R(φ = 0)

(4.0060)

1.50E-03 1.50E-03 1.60E-03 1.60E-03

0.361

Germanium7 Energy eV

n

k

R(φ = 0)

Energy eV

0.01240 0.01364 0.01488 0.01612

(4.0065) 4.0063 (4.0060) (4.0060)

3.00E-03 2.40E-03 1.70E-03 1.55E-03

0.361 0.361 0.361 0.361

0.01736 0.01860 0.01984 0.02108

© 2003 by CRC Press LLC

Section 4: Metals

319

Germanium7—continued Energy eV 0.02232 0.02356 0.02480 0.02604 0.02728 0.02852 0.02976 0.03100 0.03224 0.03348 0.03472 0.03596 0.03720 0.03844 0.03968 0.04092 0.04215 0.04339 0.04463 0.04587 0.04711 0.04835 0.04959 0.05083 0.05207 0.05331 0.05455 0.05579 0.05703 0.05827 0.05951 0.06075 0.06199 0.06323 0.06447 0.06571 0.06695 0.06819 0.06943 0.07067 0.07191 0.07315 0.07439 0.07514 0.07749 0.07999

© 2003 by CRC Press LLC

n

3.9827

(3.9900)

(3.9930)

(3.9955)

3.9992

(4.0000)

4.0009 4.0011

k 1.55E-03 1.53E-03 1.50E-03 1.25E-03 8.50E-04 6.50E-04 7.00E-04 8.50E-04 1.55E-03 2.75E-03 3.55E-03 3.05E-03 2.75E-03 2.70E-03 2.90E-03 2.95E-03 3.20E-03 6.30E-03 3.40E-03 2.50E-03 2.10E-03 2.00E-03 8.00E-04 1.40E-03 1.35E-03 1.10E-03 8.00E-04 6.00E-04 9.0 E-04 6.5 E-04 4.6 E-04 4.0 E-04 3.98E-04 4.0 E-04 4.3 E-04 4.4 E-04 4.3 E-04 3.1 E-04 3.3 E-04 3.8 E-04 3.3 E-04 2.5 E-04 1.9 E-04 1.58E-04 9.55E-05 1.71E-04

R(φ = 0)

0.358

0.359

0.359

0.360

0.360

0.360

0.360 0.360

Energy eV 0.08266 0.08551 0.08920 0.09460 0.09840 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 4.0 4.1

n 4.0013 4.0015

4.0063 4.0108 4.0246 4.0429 (4.074) (4.104) 4.180 4.275 4.285 4.325 4.385 4.420 4.495 4.560 4.635 4.763 4.897 5.067 5.380 5.588 5.748 5.283 5.062 4.610 4.340 4.180 4.082 4.035 4.037 4.082 4.141 4.157 4.128 4.070 4.020 3.985 3.958 3.936 3.920 3.905 3.869

k

R(φ = 0)

9.78E-05 5.77E-05 3.98E-05 4.59E-05 3.51E-05 3.70E-05

0.360 0.360

6.58E-07 1.27E-04 5.67E-03 7.45E-02 8.09E-02 0.103 0.123 0.167 0.190 0.298 0.345 0.401 0.500 0.540 0.933 1.634 2.049 2.318 2.455 2.384 2.309 2.240 2.181 2.140 2.145 2.215 2.340 2.469 2.579 2.667 2.759 2.863 2.986 3.137 3.336 3.614

0.361 0.361 0.362 0.364 0.367 0.370 0.377 0.385 0.386 0.390 0.395 0.398 0.405 0.411 0.418 0.428 0.439 0.453 0.475 0.495 0.523 0.516 0.519 0.508 0.492 0.480 0.471 0.464 0.461 0.463 0.471 0.482 0.490 0.497 0.502 0.509 0.517 0.527 0.539 0.556 0.579

320

Handbook of Optical Materials Germanium7—continued

Energy eV 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 5.0 5.1 5.2 5.3 5.4 5.5 5.6 5.7 5.8 5.9 6.0

n 3.745 3.338 2.516 1.953 1.720 1.586 1.498 1.435 1.394 1.370 1.364 1.371 1.383 1.380 1.360 1.293 1.209 1.108 1.30

k

R(φ = 0)

4.009 4.507 4.669 4.297 3.960 3.709 3.509 3.342 3.197 3.073 2.973 2.897 2.854 2.842 2.846 2.163 2.873 2.813 2.34

0.612 0.659 0.705 0.713 0.702 0.690 0.677 0.664 0.650 0.636 0.622 0.609 0.600 0.598 0.602 0.479 0.632 0.641 0.517

Energy eV 6.5 7.0 7.5 8.0 8.5 9.0 9.5 10.0 20.0 22.0 24.0 26.0 28.0 30.0 32.0 34.0 36.0 38.0 40.0

n 1.10 1.00 0.92 0.92 0.92 0.93

k 2.05 1.80 1.60 1.40 1.20 1.14 1.00 0.86 0.237 0.179 0.144 0.110 0.0747 0.1020 0.0999 0.0856 0.0740 0.0651 0.0604

R(φ = 0) 0.489 0.448 0.348 0.282 0.262 0.167

Gold8 Energy eV 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 1.00 1.20 1.40 1.60 1.80 2.00 2.10 2.20 2.40 2.50 2.60 2.70 2.80

© 2003 by CRC Press LLC

n 8.17 2.13 0.99 0.59 0.39 0.28 0.22 0.18 0.15 0.13 0.10 0.08 0.08 0.09 0.13 0.18 0.24 0.50 0.82 1.24 1.43 1.46

k 82.83 41.73 27.82 20.83 16.61 13.78 11.75 10.21 9.01 8.03 6.54 5.44 4.56 3.82 3.16 2.84 2.54 1.86 1.59 1.54 1.72 1.77

R(φ = 0)

Energy eV

n

k

R(φ = 0)

0.995 0.995 0.995 0.995 0.994 0.994 0.994 0.993 0.993 0.992 0.991 0.989 0.986 0.979 0.953 0.925 0.880 0.647 0.438 0.331 0.356 0.368

2.90 3.00 3.10 3.20 3.30 3.40 3.50 3.60 3.70 3.80 3.90 4.00 4.10 4.20 4.30 4.40 4.50 4.60 4.70 4.80 4.90 5.00

1.50 1.54 1.54 1.54 1.55 1.56 1.58 1.62 1.64 1.63 1.59 1.55 1.51 1.48 1.45 1.41 1.35 1.30 1.27 1.25 1.23 1.22

1.79 1.80 1.81 1.80 1.78 1.76 1.73 1.73 1.75 1.79 1.81 1.81 1.79 1.78 1.77 1.76 1.74 1.69 1.64 1.59 1.54 1.49

0.368 0.369 0.371 0.368 0.362 0.356 0.349 0.346 0.351 0.360 0.366 0.369 0.368 0.367 0.368 0.370 0.370 0.364 0.354 0.344 0.332 0.319

Section 4: Metals

321

Gold8—continued Energy eV 5.20 5.40 5.60 5.80 6.00 6.20 6.40 6.60 6.80 7.00 7.20 7.40 7.60 7.80 8.00 8.20 8.40 8.60 8.80 9.00 9.20 9.40 9.60 9.80 5.60 5.80 6.00 6.20 6.40 6.60 6.80 7.00 7.20 7.40 7.60 7.80 8.00 8.20 8.40 8.60 8.80 9.00 9.20 9.40 9.60 9.80

© 2003 by CRC Press LLC

n 1.21 1.21 1.21 1.21 1.22 1.24 1.25 1.27 1.30 1.34 1.36 1.38 1.38 1.35 1.31 1.30 1.30 1.31 1.31 1.30 1.31 1.33 1.36 1.37 1.21 1.21 1.22 1.24 1.25 1.27 1.30 1.34 1.36 1.38 1.38 1.35 1.31 1.30 1.30 1.31 1.31 1.30 1.31 1.33 1.36 1.37

k

R(φ = 0)

1.40 1.33 1.27 1.20 1.14 1.09 1.05 1.01 0.97 0.95 0.95 0.96 0.98 0.99 0.96 0.92 0.89 0.88 0.86 0.83 0.81 0.78 0.78 0.79 1.27 1.20 1.14 1.09 1.05 1.01 0.97 0.95 0.95 0.96 0.98 0.99 0.96 0.92 0.89 0.88 0.86 0.83 0.81 0.78 0.78 0.79

0.295 0.275 0.256 0.236 0.218 0.203 0.190 0.177 0.167 0.162 0.161 0.164 0.169 0.171 0.165 0.155 0.147 0.144 0.140 0.133 0.126 0.122 0.121 0.124 0.256 0.236 0.218 0.203 0.190 0.177 0.167 0.162 0.161 0.164 0.169 0.171 0.165 0.155 0.147 0.144 0.140 0.133 0.126 0.122 0.121 0.124

Energy eV 10.00 10.20 10.40 10.60 10.80 11.00 11.20 11.40 11.60 11.80 12.00 12.40 12.80 13.20 13.60 14.00 14.40 14.80 15.20 15.60 16.00 16.40 16.80 17.20 17.60 18.00 18.40 18.80 19.20 19.60 20.00 20.40 20.80 21.20 21.60 22.00 22.40 22.80 23.20 23.60 24.00 24.40 24.80 25.20 25.60 26.00

n

k

R(φ = 0)

1.37 1.36 1.35 1.34 1.34 1.34 1.34 1.35 1.36 1.38 1.39 1.44 1.45 1.42 1.37 1.33 1.29 1.26 1.24 1.22 1.21 1.20 1.19 1.19 1.19 1.19 1.19 1.20 1.21 1.21 1.18 1.14 1.10 1.05 1.00 0.94 0.89 0.85 0.82 0.80 0.80 0.80 0.80 0.82 0.83 0.84

0.80 0.80 0.80 0.79 0.77 0.76 0.74 0.73 0.72 0.71 0.71 0.73 0.79 0.84 0.86 0.86 0.86 0.84 0.83 0.81 0.79 0.78 0.76 0.75 0.74 0.74 0.73 0.74 0.76 0.80 0.83 0.85 0.87 0.88 0.88 0.86 0.83 0.79 0.75 0.70 0.66 0.62 0.58 0.56 0.54 0.52

0.126 0.127 0.125 0.123 0.120 0.116 0.113 0.111 0.109 0.108 0.109 0.115 0.127 0.137 0.140 0.140 0.139 0.135 0.132 0.127 0.123 0.119 0.116 0.114 0.111 0.109 0.109 0.110 0.116 0.125 0.133 0.141 0.149 0.156 0.162 0.164 0.163 0.157 0.149 0.138 0.125 0.113 0.101 0.090 0.084 0.079

322

Handbook of Optical Materials Gold8—continued

Energy eV 26.40 26.80 27.20 27.60 28.00

n 0.85 0.85 0.86 0.86 0.87

k 0.51 0.50 0.49 0.49 0.48

R(φ = 0) 0.074 0.071 0.068 0.065 0.063

Energy eV 28.40 28.80 29.20 29.60 30.00

n 0.88 0.88 0.88 0.87 0.86

k 0.48 0.48 0.48 0.48 0.48

R(φ = 0) 0.062 0.062 0.062 0.064 0.064

Iridium9 Energy eV 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.60 0.70 0.80 0.90 1.00 1.10 1.20 1.30 1.40 1.50 1.60 1.70 1.80 1.90 2.00 2.10 2.20 2.30 2.40 2.50 2.60 2.70 2.80 2.90 3.00 3.20

© 2003 by CRC Press LLC

n 28.49 15.32 9.69 6.86 5.16 4.11 3.42 3.05 2.98 2.79 2.93 3.14 3.19 3.15 3.04 2.96 2.85 2.72 2.65 2.68 2.69 2.64 2.57 2.50 2.40 2.29 2.18 2.07 1.98 1.91 1.85 1.81 1.77 1.73 1.62

k 60.62 45.15 35.34 28.84 24.25 20.79 18.06 15.82 14.06 11.58 9.78 8.61 7.88 7.31 6.84 6.41 6.07 5.74 5.39 5.08 4.92 4.81 4.68 4.57 4.48 4.38 4.26 4.14 4.00 3.86 3.73 3.61 3.51 3.43 3.26

R(φ = 0) 0.975 0.973 0.972 0.969 0.967 0.964 0.960 0.954 0.944 0.925 0.895 0.862 0.840 0.822 0.808 0.791 0.779 0.767 0.750 0.728 0.716 0.710 0.704 0.699 0.697 0.695 0.692 0.689 0.682 0.673 0.665 0.655 0.646 0.640 0.629

Energy eV 3.40 3.60 3.80 4.00 4.20 4.40 4.60 4.80 5.00 5.20 5.40 5.60 5.80 6.00 6.20 6.40 6.60 6.80 7.00 7.20 7.40 7.60 7.80 8.00 8.20 8.40 8.60 8.80 9.00 9.20 9.40 9.60 9.80 10.00 10.20

n 1.53 1.52 1.61 1.64 1.58 1.45 1.31 1.18 1.10 1.04 1.00 0.98 0.96 0.95 0.94 0.94 0.94 0.95 0.97 0.99 1.02 1.03 1.08 1.13 1.18 1.22 1.26 1.29 1.33 1.36 1.39 1.42 1.44 1.45 1.45

k 3.05 2.81 2.69 2.68 2.71 2.68 2.60 2.49 2.35 2.22 2.09 1.98 1.86 1.78 1.68 1.59 1.50 1.42 1.34 1.27 1.20 1.14 1.06 1.03 1.00 0.98 0.96 0.95 0.94 0.95 0.95 0.97 0.99 1.01 1.04

R(φ = 0) 0.610 0.573 0.541 0.535 0.549 0.561 0.567 0.570 0.559 0.543 0.522 0.499 0.474 0.454 0.427 0.401 0.375 0.345 0.318 0.290 0.262 0.241 0.208 0.191 0.179 0.171 0.164 0.160 0.157 0.159 0.161 0.163 0.169 0.175 0.182

Section 4: Metals

323

Iridium9—continued Energy eV

n

k

R(φ = 0)

10.40 10.60 10.80 11.00 11.20 11.40 11.60 11.80 12.00 12.40 12.80 13.20 13.60 14.00 14.40 14.80 15.20 15.60 16.00 16.40 16.80 17.20 17.60 18.00 18.40 18.80 19.20

1.44 1.43 1.41 1.38 1.34 1.31 1.28 1.25 1.24 1.21 1.19 1.18 1.17 1.16 1.17 1.18 1.19 1.20 1.21 1.23 1.25 1.28 1.30 1.30 1.27 1.24 1.20

1.07 1.09 1.12 1.13 1.14 1.13 1.12 1.10 1.08 1.05 1.01 0.98 0.95 0.91 0.88 0.87 0.84 0.83 0.83 0.82 0.82 0.83 0.87 0.93 0.97 1.00 1.03

0.187 0.193 0.200 0.206 0.208 0.208 0.206 0.203 0.199 0.191 0.181 0.173 0.165 0.155 0.147 0.142 0.136 0.133 0.131 0.129 0.127 0.131 0.140 0.154 0.166 0.176 0.187

Energy eV 19.60 20.00 20.50 21.00 21.50 22.00 22.50 23.00 23.50 24.00 24.50 25.00 25.50 26.00 26.50 27.00 27.50 28.00 28.50 29.00 29.50 30.00 32.00 34.00 36.00 38.00 40.00

n 1.15 1.10 1.04 0.99 0.94 0.89 0.84 0.79 0.76 0.73 0.70 0.69 0.68 0.67 0.67 0.66 0.66 0.66 0.66 0.65 0.64 0.64 0.62 0.64 0.69 0.73 0.76

k 1.05 1.06 1.05 1.04 1.02 1.00 0.99 0.96 0.92 0.87 0.83 0.79 0.76 0.72 0.69 0.66 0.63 0.61 0.59 0.57 0.55 0.53 0.44 0.35 0.27 0.24 0.22

R(φ = 0) 0.197 0.205 0.210 0.215 0.220 0.222 0.228 0.232 0.228 0.223 0.218 0.209 0.200 0.192 0.181 0.174 0.166 0.158 0.151 0.148 0.145 0.140 0.119 0.091 0.059 0.044 0.034

Iron10 Energy eV

n

k

R(φ = 0)

Energy eV

n

k

R(φ = 0)

0.10 0.15 0.20 0.26 0.30 0.36 0.40 0.50 0.60 0.70 0.80 0.90 1.00 1.10

6.41 6.26 3.68 4.98 4.87 4.68 4.42 4.14 3.93 3.78 3.65 3.52 3.43 3.33

33.07 22.82 18.23 13.68 12.05 10.44 9.75 8.02 6.95 6.17 5.60 5.16 4.79 4.52

0.978 0.956 0.958 0.911 0.892 0.867 0.858 0.817 0.783 0.752 0.725 0.700 0.678 0.660

1.20 1.30 1.40 1.50 1.60 1.70 1.80 1.90 2.00 2.10 2.20 2.30 2.40 2.50

3.24 3.16 3.12 3.05 3.00 2.98 2.92 2.89 2.85 2.80 2.74 2.65 2.56 2.46

4.26 4.07 3.87 3.77 3.60 3.52 3.46 3.37 3.36 3.34 3.33 3.34 3.31 3.31

0.641 0.626 0.609 0.601 0.585 0.577 0.573 0.563 0.563 0.562 0.563 0.567 0.567 0.570

© 2003 by CRC Press LLC

324

Handbook of Optical Materials Iron10—continued

Energy eV

n

k

R(φ = 0)

2.60 2.70 2.80 2.90 3.00 3.10 3.20 3.30 3.40 3.50 3.60 3.70 3.83 4.00 4.17 4.33 4.50 4.67 4.83 5.00 5.17 5.33 5.50 5.67 5.83 6.00 6.17 6.33 6.50 6.67 6.83 7.00 7.17 7.33 7.50 7.67 7.83 8.00 8.17 8.33 8.50 8.67 8.83 9.00 9.17 9.33

2.34 2.23 2.12 2.01 1.88 1.78 1.70 1.62 1.55 1.50 1.47 1.43 1.38 1.30 1.26 1.23 1.20 1.16 1.14 1.14 1.12 1.11 1.09 1.09 1.10 1.09 1.08 1.04 1.02 1.00 0.97 0.96 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.92 0.93 0.92 0.91

3.30 3.25 3.23 3.17 3.12 3.04 2.96 2.87 2.79 2.70 2.63 2.56 2.49 2.39 2.27 2.18 2.10 2.02 1.93 1.87 1.81 1.75 1.17 1.65 1.61 1.59 1.57 1.55 1.51 1.47 1.43 1.39 1.35 1.30 1.26 1.23 1.21 1.18 1.16 1.14 1.12 1.10 1.08 1.07 1.06 1.04

0.576 0.575 0.580 0.580 0.583 0.580 0.576 0.572 0.565 0.556 0.548 0.542 0.534 0.527 0.510 0.494 0.482 0.470 0.451 0.435 0.425 0.408 0.401 0.383 0.373 0.366 0.365 0.365 0.358 0.351 0.346 0.333 0.327 0.311 0.298 0.288 0.279 0.272 0.265 0.258 0.251 0.246 0.240 0.236 0.233 0.231

© 2003 by CRC Press LLC

Energy eV 9.50 9.67 9.83 10.00 10.17 10.33 10.50 10.67 10.83 11.00 11.17 11.33 11.50 11.67 11.83 12.00 12.17 12.33 12.50 12.67 12.83 13.00 13.17 13.33 13.50 13.67 13.83 14.00 14.17 14.33 14.50 14.67 14.83 15.00 15.17 15.33 15.50 15.67 15.83 16.00 16.17 16.33 16.50 16.67 16.83 17.00

n 0.90 0.90 0.89 0.88 0.87 0.87 0.87 0.88 0.89 0.91 0.92 0.93 0.93 0.93 0.92 0.91 0.90 0.89 0.98 0.87 0.86 0.85 0.84 0.84 0.83 0.82 0.81 0.81 0.80 0.80 0.79 0.79 0.78 0.78 0.78 0.78 0.77 0.77 0.77 0.77 0.78 0.78 0.78 0.77 0.78 0.78

k 1.02 1.00 0.99 0.97 0.94 0.91 0.89 0.87 0.85 0.83 0.83 0.84 0.84 0.84 0.84 0.84 0.84 0.83 0.83 0.82 0.81 0.80 0.79 0.78 0.77 0.76 0.75 0.73 0.72 0.71 0.79 0.69 0.67 0.66 0.65 0.64 0.63 0.62 0.61 0.60 0.58 0.58 0.57 0.56 0.55 0.55

R(φ = 0) 0.226 0.221 0.218 0.213 0.203 0.196 0.189 0.179 0.170 0.162 0.159 0.159 0.160 0.162 0.163 0.163 0.165 0.164 0.165 0.166 0.166 0.162 0.161 0.160 0.159 0.157 0.154 0.151 0.149 0.146 0.144 0.141 0.138 0.135 0.131 0.238 0.126 0.123 0.119 0.116 0.112 0.110 0.107 0.106 0.103 0.102

Section 4: Metals

325

Iron10—continued Energy eV

n

k

R(φ = 0)

17.17 17.33 17.50 17.67 17.83 18.00 18.17 18.33 18.50 18.67 18.83 19.00 19.17 19.33 19.50 19.67 19.83 20.00 20.17 20.33 20.50 20.67 20.83 21.00 21.17 21.33 21.50

0.78 0.78 0.77 0.77 0.78 0.78 0.78 0.78 0.77 0.77 0.77 0.77 0.76 0.76 0.75 0.75 0.75 0.74 0.74 0.74 0.74 0.73 0.73 0.73 0.72 0.72 0.72

0.54 0.54 0.53 0.52 0.51 0.51 0.51 0.50 0.50 0.50 0.49 0.49 0.49 0.48 0.47 0.47 0.46 0.45 0.44 0.44 0.42 0.43 0.42 0.41 0.40 0.39 0.38

0.100 0.098 0.097 0.095 0.092 0.091 0.090 0.089 0.089 0.088 0.087 0.087 0.088 0.087 0.086 0.085 0.084 0.083 0.081 0.081 0.080 0.079 0.078 0.077 0.076 0.074 0.073

Energy eV 21.67 21.83 22.00 22.17 22.33 22.50 22.67 22.83 23.00 23.17 23.33 23.50 23.67 23.83 24.00 24.17 24.33 24.50 24.67 24.83 25.00 26.00 27.00 28.00 29.00 30.00

n 0.72 0.72 0.72 0.71 0.72 0.72 0.72 0.72 0.72 0.72 0.72 0.73 0.73 0.74 0.74 0.74 0.74 0.74 0.75 0.75 0.75 0.76 0.78 0.79 0.81 0.82

k 0.38 0.37 0.36 0.35 0.34 0.34 0.33 0.32 0.31 0.30 0.29 0.28 0.28 0.27 0.27 0.26 0.26 0.25 0.25 0.24 0.24 0.21 0.18 0.16 0.14 0.13

R(φ = 0) 0.071 0.070 0.068 0.067 0.064 0.063 0.062 0.059 0.058 0.056 0.054 0.050 0.049 0.047 0.045 0.044 0.043 0.042 0.040 0.039 0.038 0.031 0.026 0.021 0.017 0.014

Magnesium11 (evaporated) Energy eV

n

k

2.145 2.270 2.522 2.845 3.064 5.167

0.48 0.57 0.53 0.52 0.52 0.10

3.71 3.47 2.92 2.65 2.05 1.60

© 2003 by CRC Press LLC

R(φ = 0)

Energy eV

0.880 0.843 0.805 0.777 0.681 0.894

5.636 6.200 6.889 7.750 8.857 10.335

n 0.15 0.20 0.25 0.20 0.15 0.25

k 1.50 1.40 1.30 1.20 0.95 0.40

R(φ = 0) 0.832 0.765 0.693 0.722 0.730 0.419

326

Handbook of Optical Materials Molybdenum12

Energy eV

n

k

0.10 0.15 0.20 0.25 0.30 0.34 0.38 0.42 0.46 0.50 0.54 0.58 0.62 0.66 0.70 0.74 0.78 0.82 0.86 9.90 1.00 1.10 1.20 1.30 1.40 1.50 1.60 1.70 1.80 1.90 2.00 2.10 2.20 2.30 2.40 2.50 2.60 2.70 2.80 2.90 3.00 3.10 3.20 3.30 3.40

18.53 8.78 5.10 3.36 2.44 2.00 1.70 1.57 1.46 1.37 1.35 1.34 1.38 1.43 1.48 1.51 1.60 1.64 1.70 1.74 1.94 2.15 2.44 2.77 3.15 3.53 3.77 3.84 3.81 3.74 3.68 3.68 3.76 3.79 3.59 3.36 3.22 3.13 3.08 3.05 3.04 3.03 3.05 3.06 3.06

68.51 47.54 35.99 28.75 23.80 20.84 18.44 16.50 14.91 13.55 12.36 11.34 10.44 9.67 8.99 8.38 7.83 7.35 6.89 6.48 5.58 4.85 4.22 3.74 3.40 3.30 3.41 3.51 3.58 3.58 3.52 3.45 3.41 3.61 3.78 3.73 3.61 3.51 3.42 3.33 3.27 3.21 3.18 3.18 3.19

© 2003 by CRC Press LLC

R(φ = 0) 0.985 0.985 0.985 0.984 0.983 0.982 0.980 0.978 0.975 0.971 0.966 0.960 0.952 0.942 0.932 0.921 0.906 0.892 0.876 0.859 0.805 0.743 0.671 0.608 0.562 0.550 0.562 0.570 0.576 0.576 0.571 0.565 0.562 0.578 0.594 0.591 0.582 0.573 0.565 0.566 0.550 0.544 0.540 0.540 0.541

Energy eV 3.50 3.60 3.70 3.80 3.90 4.00 4.20 4.40 4.60 4.80 5.00 5.20 5.40 5.60 5.80 6.00 6.20 6.40 6.60 6.80 7.00 7.20 7.40 7.60 7.80 8.00 8.20 8.40 8.60 8.80 9.00 9.20 9.40 9.60 9.80 10.00 10.20 10.40 10.60 10.80 11.00 11.20 11.40 11.60 11.80

n 3.06 3.05 3.04 3.04 3.04 3.01 2.77 2.39 2.06 1.75 1.46 1.22 1.07 0.96 0.89 0.85 0.81 0.79 0.78 0.78 0.80 0.81 0.81 0.75 0.71 0.69 0.67 0.66 0.65 0.65 0.65 0.67 0.69 0.71 0.74 0.77 0.81 0.86 0.91 0.98 1.05 1.12 1.18 1.23 1.25

k 3.21 3.23 3.27 3.31 3.40 3.51 3.77 3.88 3.84 3.76 3.62 3.42 3.20 2.99 2.80 2.64 2.50 2.36 2.24 2.13 2.04 1.98 1.95 1.90 1.81 1.73 1.65 1.57 1.49 1.41 1.33 1.25 1.19 1.12 1.05 0.99 0.93 0.88 0.83 0.79 0.77 0.78 0.80 0.85 0.89

R(φ = 0) 0.543 0.546 0.550 0.554 0.564 0.576 0.610 0.640 0.658 0.678 0.695 0.706 0.706 0.700 0.688 0.674 0.660 0.641 0.619 0.592 0.568 0.548 0.542 0.552 0.542 0.530 0.512 0.495 0.475 0.450 0.420 0.385 0.355 0.320 0.285 0.250 0.217 0.188 0.162 0.138 0.125 0.123 0.125 0.135 0.145

Section 4: Metals

327

Molybdenum12—continued Energy eV

n

k

12.00 12.40 12.80 13.20 13.60 14.00 14.40 14.80 15.00 15.60 16.00 16.60 17.00 17.60 18.00 18.60 19.00 19.60 20.00 20.60 21.00 21.60 22.00 22.60 23.00

1.26 1.25 1.23 1.20 1.17 1.15 1.13 1.13 1.14 1.15 1.14 1.10 1.04 0.94 0.87 0.77 0.71 0.66 0.64 0.62 0.61 0.61 0.60 0.59 0.58

0.92 0.98 1.00 1.02 1.02 1.01 1.00 0.99 0.99 1.01 1.04 1.10 1.12 1.14 1.12 1.08 1.02 0.94 0.89 0.81 0.77 0.71 0.69 0.63 0.60

Energy eV

R(φ = 0) 0.154 0.168 0.178 0.185 0.187 0.185 0.182 0.179 0.179 0.184 0.194 0.216 0.233 0.257 0.270 0.283 0.284 0.275 0.264 0.245 0.234 0.215 0.207 0.195 0.185

23.60 24.00 24.60 25.00 25.60 26.00 26.50 27.00 27.50 28.00 28.50 29.00 29.50 30.00 31.00 32.00 33.00 34.00 35.00 36.00 37.00 38.00 39.00 40.00

n 0.58 0.58 0.60 0.62 0.66 0.68 0.71 0.73 0.76 0.79 0.81 0.83 0.86 0.88 0.92 0.92 0.90 0.91 0.87 0.82 0.81 0.81 0.82 0.83

k 0.53 0.49 0.43 0.39 0.35 0.33 0.31 0.29 0.28 0.27 0.26 0.26 0.26 0.26 0.29 0.32 0.33 0.34 0.37 0.34 0.30 0.27 0.25 0.23

R(φ = 0) 0.166 0.151 0.124 0.106 0.085 0.072 0.060 0.050 0.041 0.036 0.031 0.028 0.025 0.023 0.024 0.030 0.032 0.034 0.043 0.043 0.038 0.033 0.029 0.025

Nickel13 Energy eV

n

k

R(φ = 0)

0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.50 0.60 0.70 0.80 0.90 1.00 1.10

9.54 5.45 4.12 4.25 4.19 4.03 3.84 4.03 3.84 3.59 3.38 3.18 3.06 2.97

45.82 30.56 22.48 17.68 15.05 13.05 11.43 9.64 8.35 7.48 6.82 6.23 5.74 5.38

0.983 0.978 0.969 0.950 0.934 0.918 0.900 0.864 0.835 0.813 0.794 0.774 0.753 0.734

© 2003 by CRC Press LLC

Energy eV 1.20 1.30 1.40 1.50 1.60 1.70 1.80 1.90 2.00 2.10 2.20 2.30 2.40 2.50

n 2.85 2.74 2.65 2.53 2.43 2.28 2.14 2.02 1.92 1.85 1.80 1.75 1.71 1.67

k 5.10 4.85 4.63 4.47 4.31 4.18 4.01 3.82 3.65 3.48 3.33 3.19 3.06 2.93

R(φ = 0) 0.721 0.708 0.695 0.688 0.679 0.677 0.670 0.659 0.649 0.634 0.620 0.605 0.590 0.575

328

Handbook of Optical Materials Nickel13—continued

Energy eV 2.60 2.70 2.80 2.90 3.00 3.10 3.20 3.30 3.40 3.50 3.60 3.70 3.80 3.90 4.00 4.20 4.40 4.60 4.80 5.00 5.20 5.40 5.60 5.80 6.20 6.40 6.60 6.80 7.00 7.20 7.40 7.60 7.80 8.00 8.20 8.40 8.60 8.80 9.00 9.20 9.40 9.60 9.80 10.00 10.20

© 2003 by CRC Press LLC

n

k

R(φ = 0)

Energy eV

n

1.65 1.64 1.63 1.62 1.61 1.61 1.61 1.61 1.62 1.63 1.64 1.66 1.69 1.72 1.73 1.74 1.71 1.63 1.53 1.40 1.27 1.16 1.09 1.04 1.00 1.01 1.01 1.02 1.03 1.03 1.03 1.02 1.01 1.01 1.00 0.99 0.98 0.97 0.97 0.96 0.95 0.95 0.95 0.95 0.95

2.81 2.71 2.61 2.52 2.44 2.36 2.30 2.23 2.17 2.11 2.07 2.02 1.99 1.98 1.98 2.01 2.06 2.09 2.11 2.10 2.04 1.94 1.83 1.73 1.54 1.46 1.40 1.35 1.30 1.27 1.24 1.22 1.18 1.15 1.13 1.11 1.08 1.05 1.01 0.99 0.96 0.93 0.89 0.87 0.83

0.557 0.542 0.525 0.509 0.495 0.480 0.467 0.454 0.441 0.428 0.416 0.405 0.397 0.393 0.392 0.396 0.409 0.421 0.435 0.449 0.454 0.449 0.435 0.417 0.371 0.345 0.325 0.308 0.291 0.282 0.273 0.265 0.256 0.248 0.242 0.235 0.228 0.220 0.211 0.203 0.194 0.185 0.175 0.166 0.155

10.40 10.60 10.80 11.00 11.25 11.50 11.75 12.00 12.25 12.50 12.75 13.00 13.25 13.50 13.75 14.00 14.25 14.50 14.75 15.00 15.25 15.50 15.75 16.00 16.50 17.00 17.50 18.00 18.50 19.00 19.50 20.00 20.50 21.00 21.50 22.00 22.50 23.00 23.50 24.00 24.50 25.00 26.00 27.00 28.00

0.95 0.97 0.99 1.01 1.04 1.05 1.07 1.07 1.07 1.08 1.08 1.08 1.08 1.07 1.07 1.07 1.06 1.05 1.04 1.03 1.02 1.01 1.00 0.99 0.98 0.96 0.94 0.92 0.91 0.90 0.90 0.89 0.89 0.90 0.91 0.91 0.91 0.92 0.91 0.90 0.90 0.89 0.88 0.87 0.87

k 0.80 0.76 0.75 0.73 0.72 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.71 0.70 0.70 0.71 0.70 0.70 0.70 0.70 0.69 0.69 0.68 0.67 0.66 0.64 0.63 0.61 0.58 0.56 0.54 0.51 0.49 0.47 0.46 0.45 0.44 0.44 0.44 0.43 0.43 0.42 0.39 0.37 0.35

R(φ = 0) 0.145 0.129 0.123 0.115 0.111 0.109 0.108 0.108 0.107 0.106 0.106 0.105 0.105 0.105 0.105 0.106 0.106 0.106 0.107 0.107 0.106 0.105 0.104 0.103 0.101 0.098 0.096 0.092 0.087 0.082 0.077 0.071 0.066 0.061 0.057 0.055 0.053 0.051 0.052 0.051 0.051 0.050 0.046 0.042 0.040

Section 4: Metals

329

Nickel13—continued Energy eV

n

k

29.00 30.00 35.00 40.00 45.00 50.00 60.00

0.86 0.86 0.86 0.87 0.88 0.92 0.96

0.34 0.32 0.24 0.18 0.13 0.10 0.08

R(φ = 0) 0.037 0.034 0.022 0.014 0.008 0.004 0.002

Energy eV

n

k

0.98 0.96 0.94 0.94 0.94 0.94

0.09 0.12 0.11 0.09 0.07 0.06

Energy eV

n

k

3.00 3.10 3.20 3.30 3.40 3.50 3.60 3.70 3.80 3.90 4.00 4.20 4.40 4.60 4.80 5.00 5.20 5.40 5.60 5.80 6.00 6.20 6.40 6.60 6.80 7.00 7.20 7.40 7.60 7.80

2.51 2.48 2.45 2.44 2.46 2.48 2.52 2.56 2.59 2.62 2.64 2.64 2.53 2.39 2.32 2.26 2.16 2.00 1.81 1.63 1.49 1.38 1.31 1.26 1.24 1.23 1.22 1.20 1.14 1.07

65.00 68.00 70.00 75.00 80.00 90.00

R(φ = 0) 0.002 0.004 0.004 0.003 0.002 0.002

Niobium14 Energy eV 0.12 0.20 0.24 0.28 0.35 0.45 0.55 0.65 0.75 0.85 0.95 1.05 1.15 1.25 1.35 1.45 1.55 1.65 1.75 1.85 1.95 2.05 2.15 2.25 2.35 2.45 2.55 2.65 2.75 2.85

© 2003 by CRC Press LLC

n 15.99 7.25 5.47 4.26 3.11 2.28 1.83 1.57 1.41 1.35 1.35 1.44 1.55 1.65 1.76 1.95 2.15 2.36 2.54 2.69 2.82 2.89 2.92 2.93 2.92 2.89 2.83 2.74 2.66 2.58

k 53.20 34.14 28.88 24.95 20.03 15.58 12.67 10.59 9.00 7.74 6.70 5.86 5.18 4.63 4.13 3.68 3.37 3.13 2.99 2.89 2.86 2.87 2.87 2.87 2.88 2.90 2.92 2.90 2.86 2.80

R(φ = 0) 0.979 0.976 0.975 0.974 0.970 0.964 0.956 0.947 0.935 0.918 0.893 0.857 0.814 0.768 0.715 0.650 0.595 0.552 0.527 0.510 0.505 0.505 0.505 0.505 0.506 0.509 0.512 0.511 0.507 0.500

2.68 2.60 2.53 2.45 2.38 2.33 2.29 2.27 2.28 2.29 2.33 2.42 2.56 2.56 2.52 2.57 2.62 2.68 2.67 2.60 2.49 2.38 2.25 2.14 2.04 1.96 1.91 1.88 1.85 1.78

R(φ = 0) 0.485 0.475 0.465 0.453 0.442 0.435 0.428 0.426 0.427 0.429 0.434 0.447 0.467 0.470 0.465 0.475 0.487 0.505 0.518 0.522 0.520 0.512 0.496 0.480 0.460 0.441 0.430 0.427 0.430 0.428

330

Handbook of Optical Materials Niobium14—continued

Energy eV 8.00 8.20 8.40 8.60 8.70 8.80 9.00 9.20 9.40 9.60 9.80 10.00 10.20 10.40 10.60 10.80 11.00 11.20 11.40 11.60 11.80 12.00 12.40 12.80 13.20 13.60 14.00 14.40 14.80 15.00 15.60 16.00 16.60 17.00 17.20 17.40

© 2003 by CRC Press LLC

n

k

1.02 1.00 0.99 0.99 0.99 1.00 1.01 1.04 1.07 1.10 1.13 1.18 1.23 1.27 1.30 1.32 1.32 1.31 1.30 1.28 1.27 1.25 1.24 1.24 1.24 1.23 1.20 1.16 1.11 1.08 0.99 0.92 0.85 0.80 0.79 0.77

1.69 1.60 1.51 1.43 1.39 1.36 1.29 1.22 1.18 1.13 1.09 1.05 1.04 1.04 1.06 1.08 1.10 1.12 1.13 1.13 1.13 1.12 1.10 1.09 1.09 1.12 1.13 1.15 1.16 1.16 1.14 1.11 1.04 0.99 0.96 0.93

R(φ = 0) 0.412 0.390 0.365 0.340 0.328 0.315 0.290 0.265 0.245 0.227 0.209 0.194 0.187 0.185 0.190 0.195 0.200 0.204 0.207 0.209 0.210 0.209 0.204 0.200 0.201 0.208 0.216 0.225 0.234 0.238 0.247 0.250 0.245 0.240 0.236 0.230

Energy eV 17.80 18.00 18.60 19.00 19.60 20.00 20.60 21.00 21.60 22.00 22.60 23.00 23.60 24.00 24.60 25.00 25.60 26.00 26.60 27.00 27.60 28.00 28.60 29.00 29.60 30.00 31.00 32.00 33.00 34.00 35.20 36.00 37.50 39.50 40.50

n 0.75 0.74 0.73 0.72 0.72 0.72 0.71 0.72 0.75 0.78 0.82 0.85 0.88 0.91 0.94 0.96 0.99 1.00 1.03 1.04 1.06 1.08 1.11 1.13 1.16 1.18 1.18 1.20 1.21 1.20 1.17 1.15 1.07 0.95 0.92

k 0.87 0.85 0.77 0.72 0.66 0.62 0.55 0.50 0.43 0.40 0.35 0.33 0.30 0.29 0.28 0.27 0.26 0.26 0.25 0.25 0.25 0.24 0.24 0.25 0.26 0.28 0.31 0.34 0.38 0.42 0.47 0.50 0.53 0.50 0.47

R(φ = 0) 0.217 0.209 0.185 0.170 0.150 0.137 0.119 0.100 0.075 0.063 0.045 0.038 0.029 0.025 0.022 0.020 0.018 0.017 0.016 0.015 0.015 0.015 0.016 0.017 0.020 0.023 0.026 0.031 0.038 0.044 0.051 0.056 0.064 0.063 0.059

Section 4: Metals Osmium (polycrystalline)15 Energy eV

n

0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 1.10 1.20 1.30 1.40 1.50 1.60 1.70 1.80 1.90 2.00 2.10 2.20 2.30 2.40 2.50 2.60 2.70 2.80 2.90 3.00 3.20 3.40 3.60 3.80 4.00 4.20

4.08 2.90 2.44 2.35 2.23 2.33 2.45 2.43 2.41 2.33 2.21 2.11 2.02 2.00 2.00 2.01 2.03 2.05 2.09 2.15 2.16 2.25 2.49 2.84 3.36 3.70 3.78 3.81 3.98 4.26 4.58 4.84 5.10 5.28 5.36 5.30 5.07 4.65 4.05 3.29 2.93 2.75 2.73 2.71 2.53

© 2003 by CRC Press LLC

k 50.23 33.60 25.11 19.99 16.54 14.06 12.32 11.02 9.97 9.12 8.37 7.68 7.04 6.46 5.95 5.51 5.10 4.74 4.41 3.84 3.35 2.77 2.23 1.80 1.62 1.75 1.83 1.75 1.60 1.54 1.62 1.76 2.01 2.38 2.82 3.29 3.78 4.18 4.40 3.96 3.79 3.45 3.32 3.34 3.44

R(φ = 0) 0.994 0.990 0.985 0.977 0.969 0.955 0.940 0.927 0.913 0.901 0.890 0.877 0.862 0.842 0.820 0.796 0.769 0.742 0.712 0.651 0.592 0.506 0.419 0.369 0.379 0.411 0.423 0.418 0.418 0.432 0.457 0.479 0.506 0.532 0.557 0.580 0.603 0.624 0.639 0.614 0.607 0.577 0.562 0.565 0.584

Energy eV 4.40 4.60 4.80 5.00 5.20 5.40 5.60 5.80 6.00 6.20 6.40 6.60 6.80 7.00 7.20 7.40 7.60 7.80 8.00 8.20 8.40 8.60 8.80 9.00 9.20 9.40 9.60 9.80 10.00 10.20 10.30 10.40 10.50 10.60 10.80 11.00 11.20 11.40 11.60 11.80 12.00 12.40 12.80 13.20 13.60

n 2.24 2.01 1.88 1.74 1.58 1.46 1.36 1.27 1.20 1.13 1.06 1.01 0.97 0.95 0.92 0.91 0.90 0.90 0.91 0.91 0.94 0.96 0.98 1.01 1.04 1.08 1.10 1.13 1.16 1.19 1.20 1.22 1.23 1.24 1.25 1.24 1.23 1.19 1.17 1.16 1.15 1.14 1.15 1.16 1.17

k 3.44 3.31 3.19 3.12 3.00 2.88 2.77 2.65 2.54 2.44 2.33 2.21 2.11 2.00 1.91 1.81 1.72 1.63 1.55 1.48 1.40 1.34 1.29 1.24 1.19 1.16 1.14 1.11 1.10 1.08 1.08 1.08 1.09 1.10 1.11 1.13 1.14 1.15 1.12 1.10 1.08 1.03 1.01 0.98 0.97

R(φ = 0) 0.599 0.598 0.592 0.596 0.597 0.593 0.589 0.582 0.575 0.571 0.562 0.548 0.532 0.514 0.497 0.476 0.451 0.426 0.400 0.375 0.344 0.319 0.296 0.274 0.255 0.238 0.229 0.217 0.209 0.203 0.201 0.200 0.201 0.203 0.206 0.213 0.217 0.223 0.216 0.211 0.205 0.191 0.183 0.174 0.170

331

332

Handbook of Optical Materials Osmium (polycrystalline)15—continued

Energy eV 14.00 14.40 14.80 15.20 15.60 16.00 16.40 16.80 17.20 17.60 18.00 18.40 18.80 19.20 19.60 20.00 20.40 20.80 21.20 21.60 22.00 22.40 22.80 23.20 23.60

n 1.17 1.16 1.16 1.17 1.20 1.25 1.28 1.28 1.27 1.26 1.23 1.19 1.14 1.10 1.05 0.96 0.93 0.89 0.86 0.83 0.80 0.78 0.77 0.75 0.75

k

R(φ = 0)

0.96 0.94 0.91 0.89 0.86 0.87 0.90 0.94 0.97 1.01 1.04 1.08 1.10 1.10 1.11 1.10 1.09 1.05 1.02 0.99 0.96 0.93 0.90 0.88 0.86

0.169 0.165 0.156 0.148 0.140 0.140 0.147 0.157 0.167 0.178 0.189 0.200 0.210 0.219 0.227 0.239 0.240 0.240 0.237 0.235 0.230 0.226 0.220 0.217 0.211

Energy eV 24.00 24.40 24.80 25.20 25.60 26.00 26.40 26.80 27.20 28.00 28.40 28.80 29.20 29.60 30.00 31.00 32.00 33.00 34.00 35.00 36.00 37.00 38.00 39.00 40.00

n 0.73 0.72 0.70 0.69 0.67 0.66 0.65 0.63 0.65 0.64 0.64 0.65 0.65 0.65 0.65 0.65 0.66 0.68 0.70 0.72 0.74 0.77 0.79 0.81 0.84

k 0.84 0.82 0.80 0.77 0.75 0.72 0.69 0.66 0.62 0.59 0.57 0.55 0.53 0.51 0.49 0.45 0.41 0.37 0.34 0.31 0.29 0.27 0.26 0.26 0.26

R(φ = 0) 0.209 0.207 0.205 0.202 0.199 0.195 0.189 0.183 0.165 0.156 0.148 0.140 0.134 0.128 0.121 0.111 0.095 0.079 0.068 0.057 0.048 0.040 0.035 0.031 0.026

Palladium15 Energy eV

n

k

0.10 0.15 0.20 0.26 0.30 0.36 0.40 0.46 0.50 0.56 0.60 0.72 0.80 1.00 1.10

4.13 3.13 3.07 3.11 3.56 3.98 4.27 4.27 4.10 3.92 3.80 3.51 3.35 2.99 2.81

54.15 35.82 26.59 20.15 17.27 14.41 13.27 12.11 11.44 10.49 9.96 8.70 8.06 6.89 6.46

© 2003 by CRC Press LLC

R(φ = 0) 0.994 0.990 0.983 0.971 0.955 0.932 0.916 0.902 0.896 0.883 0.876 0.854 0.840 0.811 0.800

Energy eV 1.20 1.30 1.40 1.50 1.60 1.70 1.80 1.90 2.00 2.10 2.20 2.30 2.40 2.50 2.60

n

k

R(φ = 0)

2.65 2.50 2.34 2.17 2.08 2.00 1.92 1.82 1.75 1.67 1.60 1.53 1.47 1.41 1.37

6.10 5.78 5.50 5.22 4.95 4.72 4.54 4.35 4.18 4.03 3.88 3.75 3.61 3.48 3.36

0.790 0.781 0.774 0.767 0.755 0.745 0.737 0.729 0.721 0.714 0.707 0.700 0.693 0.685 0.676

Section 4: Metals Palladium15—continued Energy eV

n

2.70 2.80 2.90 3.00 3.10 3.20 3.30 3.40 3.50 3.60 3.70 3.80 3.90 4.00 4.20 4.40 4.60 4.80 5.00 5.20 5.40 5.60 5.80 6.00 6.20 6.40 6.60 6.80 7.00 7.20 7.40 7.60 7.80 8.00 8.20 8.40 8.60

1.32 1.29 1.26 1.23 1.20 1.17 1.14 1.12 1.10 1.08 1.07 1.06 1.05 1.03 1.04 1.03 1.03 1.01 0.96 0.90 0.85 0.81 0.78 0.76 0.74 0.73 0.72 0.73 0.73 0.75 0.77 0.79 0.83 0.88 0.94 0.96 1.00

© 2003 by CRC Press LLC

k

R(φ = 0)

3.25 3.13 3.03 2.94 2.85 2.77 2.68 2.60 2.52 2.45 2.38 2.31 2.25 2.19 2.09 2.01 1.94 1.90 1.86 1.79 1.70 1.62 1.54 1.45 1.37 1.29 1.21 1.13 1.05 0.98 0.91 0.85 0.78 0.73 0.70 0.70 0.65

0.668 0.658 0.648 0.639 0.630 0.622 0.613 0.602 0.591 0.581 0.570 0.558 0.547 0.537 0.510 0.493 0.476 0.470 0.472 0.474 0.463 0.449 0.437 0.418 0.397 0.375 0.350 0.316 0.287 0.255 0.223 0.195 0.163 0.133 0.117 0.114 0.097

Energy eV 8.80 9.00 9.50 10.00 10.50 11.00 11.50 12.00 12.50 13.00 13.50 14.00 14.50 15.00 15.50 16.00 16.50 17.00 17.50 18.00 18.50 19.00 19.50 20.00 20.50 21.00 21.50 22.00 22.50 23.00 23.50 24.00 25.00 26.40 27.80 29.20

n 1.04 1.07 1.12 1.14 1.16 1.18 1.19 1.20 1.19 1.18 1.18 1.17 1.15 1.13 1.10 1.08 1.06 1.07 1.06 1.07 1.07 1.08 1.08 1.07 1.03 0.99 0.95 0.91 0.88 0.86 0.85 0.84 0.81 0.80 0.81 0.82

k 0.65 0.64 0.65 0.65 0.65 0.64 0.65 0.66 0.67 0.67 0.67 0.67 0.68 0.69 0.68 0.66 0.63 0.61 0.61 0.59 0.59 0.59 0.61 0.65 0.67 0.67 0.66 0.64 0.62 0.59 0.56 0.54 0.51 0.43 0.38 0.35

R(φ = 0) 0.094 0.090 0.089 0.088 0.087 0.086 0.087 0.089 0.091 0.091 0.092 0.093 0.095 0.098 0.096 0.092 0.086 0.081 0.080 0.077 0.077 0.077 0.080 0.090 0.098 0.103 0.103 0.103 0.101 0.097 0.091 0.086 0.084 0.066 0.052 0.046

333

334

Handbook of Optical Materials Platinum16

Energy eV

n

0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 1.10 1.20 1.30 1.40 1.50 1.60 1.70 1.80 1.90 2.00 2.10 2.20 2.30 2.40 2.50 2.60 2.70 2.80 2.90 3.00 3.20 3.40 3.60 3.80 4.00 4.20

13.21 8.18 5.90 4.70 3.92 3.28 2.81 3.03 3.91 4.58 5.13 5.52 5.71 5.57 5.31 5.05 4.77 4.50 4.25 3.86 3.55 3.29 3.10 2.92 2.76 2.63 2.51 2.38 2.30 2.23 2.17 2.10 2.03 1.96 1.91 1.87 1.83 1.79 1.75 1.68 1.63 1.58 1.53 1.49 1.45

© 2003 by CRC Press LLC

k 44.72 31.16 23.95 19.40 16.16 13.66 11.38 9.31 7.71 7.14 6.75 6.66 6.83 7.02 7.04 6.98 6.91 6.77 6.62 6.24 5.92 5.61 5.32 5.07 4.84 4.64 4.43 4.26 4.07 3.92 3.77 3.67 3.54 3.42 3.30 3.20 3.10 3.01 2.92 2.76 2.62 2.48 2.37 2.25 2.14

R(φ = 0) 0.976 0.969 0.962 0.954 0.945 0.936 0.922 0.882 0.813 0.777 0.753 0.746 0.751 0.759 0.762 0.763 0.765 0.763 0.762 0.753 0.746 0.736 0.725 0.716 0.706 0.697 0.686 0.678 0.664 0.654 0.642 0.636 0.626 0.616 0.605 0.595 0.585 0.575 0.565 0.546 0.527 0.507 0.491 0.472 0.452

Energy eV

n

4.40 4.60 4.80 5.00 5.20 5.40 5.60 5.80 6.00 6.20 6.40 6.60 6.80 7.00 7.20 7.40 7.60 7.80 8.00 8.20 8.40 8.60 8.80 9.00 9.20 9.40 9.60 9.80 10.00 10.20 10.40 10.60 10.80 11.00 11.20 11.40 11.60 11.80 12.00 12.40 12.80 13.20 13.60 14.00 14.40

1.43 1.39 1.38 1.36 1.36 1.36 1.36 1.36 1.38 1.39 1.42 1.45 1.48 1.50 1.50 1.49 1.48 1.48 1.47 1.47 1.47 1.47 1.47 1.48 1.49 1.49 1.49 1.48 1.46 1.43 1.40 1.37 1.35 1.33 1.31 1.30 1.29 1.29 1.29 1.29 1.29 1.31 1.31 1.31 1.30

k 2.04 1.95 1.85 1.76 1.67 1.61 1.54 1.47 1.40 1.35 1.29 1.26 1.24 1.24 1.25 1.23 1.22 1.20 1.18 1.17 1.15 1.14 1.13 1.12 1.11 1.12 1.13 1.15 1.15 1.16 1.15 1.14 1.12 1.10 1.08 1.06 1.04 1.01 1.00 0.97 0.94 0.93 0.93 0.93 0.93

R(φ = 0) 0.432 0.415 0.392 0.372 0.350 0.332 0.315 0.295 0.276 0.261 0.246 0.236 0.231 0.230 0.231 0.228 0.225 0.221 0.216 0.212 0.209 0.205 0.202 0.200 0.198 0.200 0.203 0.207 0.209 0.211 0.210 0.207 0.203 0.199 0.194 0.188 0.183 0.177 0.173 0.165 0.158 0.155 0.155 0.155 0.156

Section 4: Metals Platinum16—continued Energy eV 14.80 15.20 15.60 16.00 16.50 17.00 17.50 18.00 18.50 19.00 19.50 20.00 20.50 21.00 21.50 22.00

n 1.27 1.27 1.25 1.24 1.24 1.25 1.27 1.31 1.30 1.28 1.23 1.18 1.11 1.03 0.94 0.87

k

R(φ = 0)

0.93 0.93 0.92 0.89 0.87 0.86 0.85 0.88 0.94 0.99 1.03 1.06 1.09 1.10 1.08 1.04

0.157 0.155 0.151 0.146 0.142 0.138 0.135 0.142 0.157 0.171 0.184 0.197 0.212 0.226 0.238 0.240

Energy eV 22.50 23.00 23.50 24.00 24.50 25.00 25.50 26.00 26.50 27.00 27.50 28.00 28.50 29.00 29.50 30.00

n 0.81 0.77 0.75 0.74 0.73 0.73 0.73 0.74 0.74 0.74 0.74 0.75 0.75 0.75 0.74 0.73

k 0.98 0.92 0.87 0.82 0.77 0.73 0.70 0.67 0.65 0.63 0.62 0.60 0.59 0.58 0.58 0.58

R(φ = 0) 0.235 0.226 0.213 0.201 0.187 0.174 0.162 0.150 0.142 0.136 0.130 0.125 0.121 0.118 0.120 0.124

Rhenium (single crystal)8 E  c Energy eV 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 1.10 1.20 1.30 1.40 1.50

© 2003 by CRC Press LLC

n 6.06 4.66 4.16 4.03 4.37 4.50 4.53 4.53 4.53 4.50 4.29 4.07 3.80 3.48 3.21 2.96 2.73 2.56 2.45 2.38 2.35 2.39 2.44 2.50

k 51.03 33.96 25.36 20.10 16.69 14.53 12.96 11.78 10.88 10.26 9.75 9.35 8.94 8.55 8.10 7.68 7.24 6.79 6.36 5.61 5.02 4.54 4.13 3.79

R(φ = 0) 0.991 0.984 0.975 0.962 0.943 0.925 0.909 0.893 0.878 0.867 0.861 0.856 0.853 0.850 0.846 0.841 0.835 0.826 0.813 0.778 0.742 0.702 0.662 0.624

Energy eV 1.60 1.70 1.80 1.90 2.00 2.10 2.20 2.30 2.40 2.50 2.60 2.70 2.80 2.90 3.00 3.20 3.40 3.60 3.80 4.00 4.20 4.40 4.60 4.80

n

k

2.59 2.70 2.82 2.90 2.97 3.03 3.06 3.07 3.06 3.02 2.96 2.89 2.89 2.99 3.11 2.90 2.83 2.93 2.86 2.81 2.86 2.81 2.56 2.41

3.49 3.27 3.10 3.00 2.91 2.86 2.84 2.82 2.81 2.80 2.77 2.68 2.57 2.47 2.57 2.68 2.50 2.48 2.56 2.51 2.55 2.74 2.83 2.71

R(φ = 0) 0.587 0.557 0.535 0.520 0.510 0.504 0.501 0.499 0.498 0.497 0.493 0.482 0.468 0.457 0.470 0.482 0.459 0.457 0.467 0.460 0.466 0.489 0.504 0.493

335

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Handbook of Optical Materials Rhenium (single crystal)8 E  c—continued

Energy eV 5.00 5.20 5.40 5.60 5.80 6.00 6.20 6.40 6.80 7.00 7.20 7.40 7.60 7.80 8.00 8.20 8.40 8.60 8.80 9.00 9.20 9.40 9.60 9.80 10.00 10.20 10.40 10.60 10.80 11.00 11.20 11.40 11.60 11.80 12.00 12.40 12.80 13.20 13.60 14.00 14.40 14.80 15.20 15.60 16.00

© 2003 by CRC Press LLC

n 2.39 2.34 2.20 2.02 1.83 1.65 1.54 1.45 1.32 1.26 1.20 1.16 1.12 1.08 1.05 1.05 1.05 1.06 1.09 1.11 1.13 1.16 1.18 1.20 1.23 1.25 1.28 1.29 1.30 1.30 1.29 1.28 1.26 1.24 1.23 1.22 1.21 1.22 1.22 1.24 1.27 1.29 1.29 1.26 1.23

k

R(φ = 0)

2.68 2.75 2.81 2.84 2.80 2.71 2.59 2.50 2.31 2.23 2.15 2.06 1.99 1.89 1.80 1.71 1.62 1.55 1.48 1.43 1.39 1.34 1.32 1.29 1.26 1.25 1.25 1.25 1.26 1.27 1.28 1.28 1.28 1.26 1.24 1.21 1.18 1.16 1.13 1.12 1.11 1.15 1.19 1.22 1.25

0.488 0.500 0.515 0.530 0.538 0.541 0.532 0.526 0.508 0.500 0.493 0.480 0.470 0.454 0.435 0.411 0.386 0.360 0.336 0.317 0.301 0.281 0.274 0.264 0.252 0.246 0.242 0.242 0.244 0.247 0.249 0.252 0.252 0.249 0.244 0.237 0.230 0.222 0.215 0.209 0.204 0.213 0.225 0.236 0.248

Energy eV 16.40 16.80 17.00 17.40 18.00 18.40 18.80 19.20 19.60 20.00 20.40 20.80 21.20 21.60 22.00 22.40 22.80 23.20 23.60 24.00 24.40 24.80 25.20 25.60 26.00 26.40 26.80 27.20 27.60 28.00 29.00 30.00 31.00 32.00 33.00 34.00 35.00 36.00 37.00 38.00 39.00 40.00 42.00 44.00 46.00

n 1.19 1.14 1.12 1.07 0.99 0.93 0.87 0.81 0.77 0.73 0.70 0.67 0.64 0.61 0.58 0.55 0.53 0.51 0.50 0.48 0.48 0.47 0.47 0.47 0.47 0.48 0.48 0.49 0.50 0.51 0.54 0.57 0.62 0.66 0.68 0.72 0.76 0.79 0.82 0.85 0.89 0.88 0.88 0.89 0.85

k 1.27 1.29 1.30 1.30 1.30 1.29 1.28 1.25 1.21 1.18 1.14 1.11 1.08 1.04 1.01 0.97 0.93 0.89 0.85 0.80 0.76 0.72 0.68 0.65 0.61 0.57 0.54 0.51 0.48 0.45 0.39 0.33 0.29 0.26 0.24 0.21 0.20 0.20 0.19 0.20 0.21 0.26 0.26 0.29 0.32

R(φ = 0) 0.259 0.269 0.275 0.286 0.300 0.311 0.321 0.330 0.332 0.333 0.332 0.332 0.334 0.335 0.340 0.341 0.338 0.334 0.329 0.319 0.207 0.296 0.282 0.270 0.255 0.240 0.225 0.208 0.193 0.176 0.145 0.114 0.086 0.065 0.054 0.041 0.031 0.025 0.021 0.018 0.016 0.022 0.022 0.026 0.035

Section 4: Metals Rhenium (single crystal)8 E  c —continued Energy eV 48.00 50.00 52.00

n 0.82 0.80 0.78

k

R(φ = 0)

0.30 0.30 0.30

0.036 0.038 0.044

Energy eV 54.00 56.00 58.00

n 0.72 0.66 0.65

k 0.30 0.24 0.16

R(φ = 0) 0.055 0.061 0.055

Rhenium (single crystal)8 E ⊥ c Energy eV

n

0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 1.10 1.20 1.30 1.40 1.50 1.60 1.70 1.80 1.90 2.00 2.10 2.20 2.30 2.40 2.50 2.60 2.70 2.80

4.25 3.28 3.28 3.47 3.73 3.93 3.99 4.17 4.34 4.45 4.53 4.44 4.13 3.77 3.55 3.39 3.26 3.17 3.09 3.05 3.08 3.20 3.23 3.23 3.29 3.38 3.47 3.54 3.63 3.74 3.83 3.93 4.00 4.01 3.90 3.74 3.57

© 2003 by CRC Press LLC

k 42.83 28.08 20.66 16.27 13.44 11.54 10.15 9.03 8.26 7.73 7.40 7.26 7.09 6.75 6.32 5.95 5.61 5.27 4.96 4.39 3.89 3.56 3.38 3.12 2.88 2.72 2.59 2.50 2.43 2.40 2.38 2.44 2.55 2.70 2.84 2.92 2.88

R(φ = 0) 0.991 0.984 0.971 0.951 0.926 0.900 0.875 0.846 0.821 0.801 0.788 0.784 0.784 0.779 0.766 0.752 0.737 0.719 0.701 0.658 0.613 0.578 0.559 0.532 0.507 0.491 0.480 0.473 0.469 0.470 0.472 0.481 0.492 0.505 0.514 0.517 0.511

Energy eV 2.90 3.00 3.20 3.40 3.60 3.80 4.00 4.20 4.40 4.60 4.80 5.00 5.20 5.40 5.60 5.80 6.00 6.20 6.40 6.80 7.00 7.20 7.40 7.60 7.80 8.00 8.20 8.40 8.60 8.80 9.00 9.20 9.40 9.60 9.80 10.00 10.20

n 3.49 3.53 3.55 3.34 3.25 3.24 3.19 3.05 2.88 2.67 2.44 2.25 2.10 1.96 1.84 1.73 1.61 1.51 1.42 1.28 1.22 1.16 1.12 1.12 1.08 1.05 1.05 1.05 1.06 1.07 1.09 1.11 1.14 1.17 1.20 1.24 1.29

k 2.75 2.71 2.84 2.88 2.83 2.84 2.94 3.06 3.15 3.18 3.17 3.12 3.04 2.96 2.88 2.81 2.74 2.64 2.56 2.37 2.28 2.19 2.08 1.98 1.93 1.83 1.74 1.66 1.58 1.52 1.46 1.41 1.36 1.31 1.27 1.24 1.22

R(φ = 0) 0.497 0.493 0.506 0.508 0.501 0.502 0.513 0.526 0.539 0.548 0.554 0.556 0.555 0.553 0.551 0.549 0.549 0.545 0.541 0.526 0.517 0.508 0.493 0.468 0.463 0.443 0.418 0.397 0.372 0.351 0.327 0.309 0.290 0.273 0.258 0.244 0.234

337

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Handbook of Optical Materials Rhenium (single crystal)8 E ⊥ c —continued

Energy eV

n

k

10.40 10.60 10.80 11.00 11.20 11.40 11.60 11.80 12.00 12.40 12.80 13.20 13.60 14.00 14.40 14.80 15.20 15.60 16.00 16.40 16.80 17.00 17.40 18.00 18.40 18.80 19.20 19.60 20.00 20.40 20.80 21.20 21.60 22.00 22.40

1.33 1.36 1.38 1.37 1.36 1.33 1.31 1.28 1.26 1.23 1.22 1.20 1.19 1.20 1.22 1.27 1.31 1.31 1.28 1.24 1.17 1.14 1.06 0.95 0.88 0.82 0.76 0.72 0.67 0.64 0.61 0.60 0.58 0.57 0.56

1.23 1.25 1.28 1.31 1.33 1.34 1.34 1.33 1.32 1.29 1.26 1.23 1.20 1.16 1.13 1.12 1.17 1.23 1.28 1.33 1.37 1.38 1.39 1.38 1.36 1.33 1.29 1.25 1.21 1.15 1.10 1.06 1.02 0.98 0.95

R(φ = 0) 0.233 0.238 0.245 0.253 0.259 0.264 0.266 0.266 0.264 0.257 0.251 0.245 0.236 0.225 0.214 0.207 0.218 0.234 0.251 0.270 0.288 0.297 0.314 0.334 0.346 0.355 0.360 0.363 0.369 0.364 0.357 0.349 0.342 0.336 0.328

Energy eV 23.20 23.60 24.00 24.40 24.40 24.80 25.20 25.60 26.00 26.40 26.80 27.20 27.60 28.00 29.00 30.00 31.00 32.00 33.00 34.00 35.00 36.00 37.00 38.00 39.00 40.00 42.00 44.00 46.00 48.00 50.00 52.00 54.00 56.00 58.00

n 0.53 0.52 0.50 0.49 0.49 0.48 0.47 0.47 0.46 0.46 0.46 0.47 0.48 0.49 0.51 0.55 0.59 0.64 0.67 0.70 0.74 0.77 0.80 0.84 0.88 0.87 0.87 0.88 0.84 0.82 0.80 0.77 0.71 0.66 0.64

k 0.89 0.85 0.82 0.79 0.79 0.75 0.72 0.68 0.64 0.61 0.57 0.53 0.50 0.47 0.41 0.34 0.29 0.26 0.24 0.22 0.20 0.19 0.19 0.19 0.21 0.25 0.25 0.28 0.31 0.30 0.30 0.30 0.29 0.23 0.16

R(φ = 0) 0.322 0.317 0.314 0.309 0.309 0.303 0.295 0.286 0.276 0.263 0.249 0.231 0.216 0.198 0.164 0.129 0.097 0.072 0.060 0.047 0.036 0.029 0.023 0.018 0.016 0.023 0.023 0.026 0.035 0.036 0.039 0.044 0.055 0.061 0.055

Rhodium9 Energy eV

n

k

0.10 0.20 0.30 0.40 0.50 0.60

18.48 8.66 5.85 4.74 4.20 3.87

69.43 37.46 25.94 19.80 16.07 13.51

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R(φ = 0) 0.986 0.977 0.967 0.955 0.941 0.925

Energy eV 0.70 0.80 0.90 1.00 1.10 1.20

n 3.67 3.63 3.62 3.71 3.67 3.51

k 11.72 10.34 9.36 8.67 8.26 7.94

R(φ = 0) 0.908 0.887 0.867 0.848 0.837 0.832

Section 4: Metals Rhodium9—continued Energy eV

n

k

1.30 1.40 1.50 1.60 1.70 1.80 1.90 2.00 2.10 2.20 2.30 2.40 2.50 2.60 2.70 2.90 3.00 3.10 3.20 3.30 3.40 3.50 3.60 3.70 3.80 3.90 4.00 4.20 4.40 4.60 4.80 5.00 5.20 5.40 5.60 5.80 6.00 6.20 6.40 6.60 6.80 7.00 7.20 7.40 7.60

3.26 3.01 2.78 2.60 2.42 2.30 2.20 2.12 2.05 2.00 1.94 1.90 1.88 1.85 1.80 1.63 1.53 1.41 1.30 1.20 1.11 1.04 0.99 0.95 0.91 0.88 0.86 0.83 0.80 0.78 0.79 0.79 0.79 0.80 0.80 0.79 0.76 0.73 0.70 0.68 0.67 0.66 0.66 0.66 0.67

7.63 7.31 6.97 6.64 6.33 6.02 5.76 5.51 5.30 5.11 4.94 4.78 4.65 4.55 4.49 4.36 4.29 4.20 4.09 3.97 3.84 3.71 3.58 3.45 3.34 3.23 3.12 2.94 2.76 2.60 2.46 2.34 2.23 2.14 2.06 2.00 1.93 1.85 1.77 1.69 1.60 1.52 1.43 1.35 1.27

© 2003 by CRC Press LLC

R(φ = 0) 0.829 0.827 0.823 0.818 0.813 0.805 0.798 0.789 0.780 0.772 0.765 0.756 0.748 0.743 0.742 0.748 0.753 0.760 0.764 0.767 0.769 0.768 0.764 0.759 0.753 0.747 0.739 0.722 0.706 0.684 0.659 0.635 0.613 0.591 0.573 0.561 0.556 0.544 0.534 0.518 0.498 0.476 0.452 0.423 0.394

Energy eV

n

7.80 8.00 8.20 8.40 8.60 8.80 9.00 9.20 9.40 9.60 9.80 10.00 10.60 11.00 11.60 12.00 12.60 13.00 13.60 14.00 14.60 15.00 15.60 16.00 16.50 17.00 17.50 18.00 18.50 19.00 19.50 20.00 20.50 21.00 21.50 22.00 22.50 23.00 23.50 24.00 24.50 25.00 25.50 26.00 26.50

0.68 0.69 0.71 0.74 0.78 0.83 0.88 0.95 1.01 1.07 1.12 1.17 1.26 1.29 1.32 1.32 1.32 1.32 1.32 1.32 1.30 1.28 1.25 1.24 1.23 1.22 1.22 1.23 1.25 1.24 1.18 1.10 1.00 0.91 0.86 0.83 0.81 0.79 0.75 0.73 0.70 0.69 0.67 0.66 0.65

k 1.20 1.12 1.04 0.97 0.89 0.83 0.77 0.73 0.71 0.69 0.69 0.69 0.73 0.76 0.80 0.82 0.82 0.83 0.85 0.86 0.89 0.90 0.90 0.89 0.88 0.88 0.87 0.88 0.92 0.98 1.05 1.09 1.09 1.05 1.00 0.95 0.92 0.90 0.87 0.84 0.81 0.77 0.74 0.70 0.66

R(φ = 0) 0.363 0.329 0.288 0.252 0.212 0.179 0.148 0.125 0.110 0.102 0.098 0.098 0.106 0.113 0.124 0.127 0.129 0.131 0.134 0.138 0.144 0.147 0.147 0.147 0.145 0.144 0.143 0.145 0.155 0.172 0.193 0.213 0.230 0.234 0.228 0.219 0.214 0.213 0.214 0.210 0.208 0.202 0.195 0.188 0.176

339

340

Handbook of Optical Materials Rhodium9—continued

Energy eV

n

27.00 27.50 28.00 29.00 30.00 31.00 32.00

0.65 0.65 0.65 0.65 0.66 0.64 0.61

k

R(φ = 0)

0.64 0.61 0.59 0.54 0.51 0.49 0.44

0.168 0.159 0.152 0.137 0.127 0.127 0.126

Energy eV 33.00 34.00 35.00 36.00 37.00 38.00 39.00

n 0.60 0.65 0.69 0.73 0.74 0.74 0.75

k 0.37 0.30 0.28 0.27 0.28 0.27 0.25

R(φ = 0) 0.110 0.074 0.058 0.049 0.047 0.045 0.041

Silicon (single crystal)17 Energy eV 0.01240 0.01488 0.01736 0.01984 0.02480 0.03100 0.04092 0.04463 0.04959 0.05703 0.06199 0.06943 0.07439 0.08059 0.08679 0.09299 0.09919 0.1054 0.1116 0.1178 0.1240 0.1364 0.1488 0.1612 0.1736 0.1798 0.1860 0.1922 0.1984 0.2046 0.2108

© 2003 by CRC Press LLC

n

k

0.65 3.4190 3.4192 3.4195 3.4197 3.4199 3.4200

2.90E-04 2.30E-04 1.90E-04 1.70E-04

1.08E-04 9.15E-05 1.56E-04 3.4204 2.86E-04 3.84E-04 7.16E-04 (3.4207) 1.52E-04 1.02E-04 2.59E-04 1.77E-04 1.53E-04 2.02E-04 1.22E-04 3.4215 6.76E-05 5.49E-05 2.41E-05 2.49E-05 (3.4230) 1.68E-05 2.45E-05 2.66E-06 1.74E-06 8.46E-07 5.64E-07 (3.4244) 4.17E-07 3.4201

R(φ = 0) 0.300 0.300 0.300 0.300 0.300 0.300 0.300 0.300 0.300

0.300

0.300

0.300

0.300

Energy eV 0.2170 0.2232 0.2294 0.2356 0.2418 0.2480 0.3100 0.3626 0.4568 0.6199 0.8093 1.033 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9

n

k 4.05E-07 3.94E-07 3.26E-07 2.97E-07 2.82E-07 1.99E-07

3.4261 3.4294 3.4327 3.4393 2.50E-09 3.4490 3.4784 3.5193 (3.5341) 1.30E-05 1.80E-04 2.26E-03 7.75E-03 3.673 5.00E-03 3.714 8.00E-03 3.752 1.00E-02 3.796 0.013 3.847 0.016 3.906 0.022 3.969 0.030 4.042 0.032 4.123 0.048 4.215 0.060 4.320 0.073 4.442 0.090 4.583 0.130 4.753 0.163 4.961 0.203

R(φ = 0)

0.300 0.301 0.301 0.302 0.303 0.306 0.311 0.312

0.327 0.331 0.335 0.340 0.345 0.351 0.357 0.364 0.372 0.380 0.390 0.400 0.412 0.426 0.442

Section 4: Metals Silicon (single crystal)17—continued Energy eV 3.0 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 4.0 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 5.0 5.1 5.2 5.3 5.4 5.5 5.6

n 5.222 5.570 6.062 6.709 6.522 5.610 5.296 5.156 5.065 5.016 5.010 5.020 4.888 4.086 3.120 2.451 1.988 1.764 1.658 1.597 1.570 1.571 1.589 1.579 1.471 1.340 1.247

k

R(φ = 0)

0.269 0.387 0.630 1.321 2.705 3.014 2.987 3.058 3.182 3.346 3.587 3.979 4.639 5.395 5.344 5.082 4.678 4.278 3.979 3.749 3.565 3.429 3.354 3.353 3.366 3.302 3.206

0.461 0.486 0.518 0.561 0.592 0.575 0.564 0.563 0.568 0.577 0.591 0.614 0.652 0.703 0.726 0.740 0.742 0.728 0.710 0.693 0.675 0.658 0.646 0.647 0.663 0.673 0.675

Energy eV 5.7 5.8 5.9 6.0 6.5 7.0 7.5 8.0 8.5 9.0 9.5 10.0 12.0 14.0 16.0 18.0 20.0 22.14 24.31 26.38 28.18 30.24 31.79 34.44 36.47 38.75 40.00

n 1.180 1.133 1.083 1.010 0.847 0.682 0.563 0.478 0.414 0.367 0.332 0.306 0.257 0.275 0.345 0.455 0.567 0.675 0.752 0.803 0.834 0.860 0.877 0.899 0.913 0.925 0.930

k 3.112 3.045 2.982 2.909 2.73 2.45 2.21 2.00 1.82 1.66 1.51 1.38 0.963 0.641 0.394 0.219 0.0835 0.0405 0.0243 0.0178 0.0152 0.0138 0.0132 0.0121 0.0113 0.0104 0.0100

R(φ = 0) 0.673 0.672 0.673 0.677 0.688 0.691 0.693 0.691 0.688 0.683 0.672 0.661 0.590 0.460 0.297 0.159 0.079 0.038 0.020 0.012 0.008 0.006 0.004 0.003 0.002 0.002 0.001

Silver6 Energy eV

n

0.10 0.20 0.30 0.40 0.50 1.00 1.50 2.00 2.50 3.00 3.25 3.50

9.91 2.84 1.41 0.91 0.67 0.28 0.27 0.27 0.24 0.23 0.23 0.21

© 2003 by CRC Press LLC

k 90.27 45.70 30.51 22.89 18.32 9.03 5.79 4.18 3.09 2.27 1.86 1.42

R(φ = 0) 0.995 0.995 0.994 0.993 0.992 0.987 0.969 0.944 0.914 0.864 0.816 0.756

Energy eV

n

3.60 3.70 3.77 3.80 3.90 4.00 4.10 4.20 4.30 4.50 4.75 5.00

0.23 0.30 0.53 0.73 1.30 1.61 1.73 1.75 1.73 1.69 1.61 1.55

k 1.13 0.77 0.40 0.30 0.36 0.60 0.85 1.06 1.13 1.28 1.34 1.36

R(φ = 0) 0.671 0.475 0.154 0.053 0.040 0.103 0.153 0.194 0.208 0.238 0.252 0.257

341

342

Handbook of Optical Materials Silver6—continued

Energy eV

n

k

5.50 6.00 6.50 7.00 7.50 8.00 9.00 10.00 11.00 12.00 13.00 14.00 14.50 15.00 16.00 17.00 18.00 19.00 20.00 21.00 21.50 22.00 22.50 23.00 23.50 24.00 24.50 25.00 25.50 26.00 26.50 27.00 27.50 28.00

1.45 1.34 1.25 1.18 1.14 1.16 1.33 1.46 1.52 1.61 1.66 1.72 1.64 1.56 1.42 1.33 1.28 1.27 1.29 1.35 1.37 1.34 1.26 1.17 1.10 1.04 0.99 0.95 0.91 0.90 0.89 0.89 0.89 0.90

1.34 1.28 1.18 1.06 0.91 0.75 0.56 0.56 0.56 0.59 0.64 0.78 0.88 0.92 0.91 0.86 0.80 0.75 0.71 0.75 0.80 0.87 0.93 0.94 0.93 0.90 0.87 0.83 0.78 0.74 0.69 0.65 0.62 0.59

R(φ = 0) 0.257 0.246 0.225 0.196 0.157 0.114 0.074 0.082 0.088 0.100 0.112 0.141 0.152 0.156 0.151 0.139 0.124 0.111 0.103 0.112 0.124 0.141 0.157 0.163 0.165 0.165 0.160 0.154 0.144 0.133 0.121 0.109 0.099 0.090

Energy eV

n

29.00 30.00 31.00 32.00 33.00 34.00 35.00 36.00 38.00 40.00 42.00 44.00 46.00 48.00 50.00 52.00 54.00 56.00 58.00 60.00 62.00 64.00 66.00 68.00 70.00 72.00 74.00 76.00 78.00 80.00 85.00 90.00 95.00 100.00

0.92 0.93 0.93 0.92 0.90 0.88 0.86 0.89 0.89 0.90 0.90 0.90 0.90 0.89 0.88 0.89 0.88 0.87 0.87 0.87 0.88 0.88 0.88 0.87 0.83 0.85 0.85 0.85 0.85 0.85 0.85 0.85 0.86 0.87

k 0.56 0.54 0.53 0.53 0.51 0.49 0.45 0.44 0.39 0.37 0.35 0.33 0.32 0.31 0.29 0.28 0.17 0.26 0.24 0.22 0.21 0.21 0.21 0.21 0.20 0.18 0.17 0.16 0.15 0.14 0.11 0.08 0.06 0.04

R(φ = 0) 0.079 0.074 0.072 0.072 0.071 0.067 0.061 0.055 0.043 0.039 0.036 0.033 0.031 0.030 0.027 0.024 0.024 0.024 0.021 0.018 0.016 0.016 0.016 0.017 0.021 0.016 0.014 0.013 0.013 0.012 0.011 0.009 0.007 0.005

Tantalum12 Energy eV

n

0.10 0.15 0.20 0.26 0.30 0.38

10.14 9.45 5.77 3.67 2.87 2.03

© 2003 by CRC Press LLC

k 66.39 46.41 35.46 27.53 23.90 18.87

R(φ = 0) 0.9380 0.983 0.982 0.981 0.980 0.978

Energy eV 0.50 0.58 0.70 0.78 0.90 1.00

n 1.37 1.15 0.96 0.89 0.84 0.89

k 14.26 12.19 9.92 8.77 7.38 6.47

R(φ = 0) 0.974 0.970 0.962 0.956 0.942 0.996

Section 4: Metals

343

Tantalum12—continued Energy eV

n

k

1.10 1.20 1.30 1.40 1.50 1.60 1.70 1.80 1.90 2.00 2.10 2.20 2.30 2.40 2.50 2.60 2.70 2.80 2.90 3.00 3.20 3.40 3.60 3.80 4.00 4.20 4.40 4.60 4.80 5.00 5.20 5.40 5.60 5.80 6.00 6.20 6.40 6.60 6.80 7.00 7.20 7.40 7.60 7.80 8.00 8.20 8.40

0.93 0.98 1.00 1.04 1.09 1.15 1.24 1.35 1.57 1.83 2.10 2.36 2.56 2.68 2.75 2.80 2.84 2.85 2.84 2.81 2.73 2.61 2.49 2.40 2.36 2.35 2.39 2.45 2.53 2.58 2.52 2.31 2.06 1.83 1.63 1.48 1.37 1.29 1.23 1.18 1.15 1.13 1.12 1.11 1.11 1.12 1.13

5.75 5.14 4.62 4.15 3.73 3.33 2.95 2.60 2.24 1.99 1.84 1.81 1.86 1.92 1.98 2.02 2.08 2.14 2.20 2.24 2.31 2.33 2.30 2.22 2.14 2.06 2.01 2.00 2.06 2.20 2.44 2.61 2.67 2.63 2.56 2.45 2.33 2.22 2.11 2.01 1.91 1.82 1.75 1.68 1.61 1.55 1.50

© 2003 by CRC Press LLC

R(φ = 0) 0.899 0.872 0.842 0.805 0.762 0.707 0.640 0.560 0.460 0.388 0.354 0.351 0.365 0.378 0.388 0.395 0.405 0.412 0.420 0.425 0.432 0.435 0.430 0.418 0.406 0.392 0.384 0.384 0.394 0.416 0.450 0.480 0.501 0.510 0.515 0.512 0.504 0.492 0.478 0.462 0.445 0.425 0.406 0.390 0.370 0.350 0.332

Energy eV 8.60 8.80 9.00 9.20 9.40 9.60 9.80 10.00 10.20 10.40 10.60 10.80 11.00 11.20 11.40 11.60 11.80 12.00 12.20 12.40 12.60 12.80 13.00 13.60 14.00 14.60 15.00 15.60 16.00 16.60 17.00 17.60 18.00 18.60 19.00 19.60 20.00 20.60 21.00 21.60 22.00 22.60 23.00 23.60 24.00 24.60 25.00

n

k

1.14 1.17 1.19 1.21 1.21 1.21 1.21 1.20 1.19 1.18 1.16 1.15 1.13 1.11 1.09 1.07 1.05 1.02 1.00 0.98 0.96 0.94 0.93 0.91 0.90 0.85 0.80 0.72 0.68 0.63 0.60 0.60 0.55 0.53 0.53 0.53 0.54 0.55 0.57 0.64 0.64 0.69 0.73 0.80 0.80 0.82 0.83

1.45 1.41 1.40 1.38 1.38 1.38 1.37 1.37 1.37 1.37 1.36 1.36 1.35 1.35 1.34 1.33 1.32 1.31 1.29 1.28 1.26 1.24 1.22 1.16 1.15 1.15 1.13 1.08 1.04 0.97 0.92 0.92 0.79 0.71 0.65 0.57 0.52 0.44 0.39 0.34 0.32 0.27 0.24 0.26 0.26 0.25 0.25

R(φ = 0) 0.317 0.301 0.294 0.289 0.287 0.285 0.285 0.286 0.286 0.287 0.288 0.289 0.290 0.292 0.293 0.294 0.295 0.296 0.295 0.294 0.292 0.289 0.286 0.272 0.272 0.285 0.293 0.301 0.304 0.301 0.296 0.296 0.274 0.254 0.236 0.207 0.185 0.152 0.127 0.089 0.081 0.058 0.043 0.033 0.034 0.029 0. 026

344

Handbook of Optical Materials Tantalum12—continued

Energy eV

n

k

25.60 26.00 26.60 27.00 27.60 28.00 28.60 29.00 29.60 30.00

0.86 0.88 0.87 0.87 0.89 0.90 0.91 0.92 0.94 0.95

0.24 0.25 0.26 0.25 0.23 0.23 0.22 0.22 0.22 0.22

R(φ = 0) 0.022 0.022 0.023 0.022 0.019 0.017 0.015 0.014 0.014 0.014

Energy eV 31.00 32.00 33.00 34.00 35.00 36.00 37.00 38.00 39.00 40.00

n

k

0.97 0.98 0.98 0.99 0.99 0.99 0.99 0.98 0.97 0.95

0.23 0.24 0.25 0.25 0.26 0.27 0.28 0.28 0.29 0.29

n

k

R(φ = 0) 0.014 0.015 0.015 0.016 0.017 0.018 0.019 0.021 0.022 0.023

Titanium (polycrystalline)18 Energy eV

n

0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.60 0.70 0.80 0.90 1.00 1.10 1.20 1.30 1.40 1.50 1.60 1.70 1.80 1.90 2.00 2.10 2.20

5.03 3.00 2.12 2.05 6.39 2.74 2.49 3.35 4.43 4.71 4.38 4.04 3.80 3.62 3.47 3.35 3.28 3.17 2.98 2.74 2.54 2.36 2.22 2.11 2.01 1.92

© 2003 by CRC Press LLC

k 23.38 15.72 11.34 8.10 9.94 6.21 4.68 3.25 3.22 3.77 3.89 3.82 3.65 3.52 3.40 3.30 3.25 3.28 3.32 3.30 3.23 3.11 2.99 2.88 2.77 2.67

R(φ = 0) 0.965 0.954 0.939 0.890 0.833 0.792 0.708 0.545 0.555 0.597 0.603 0.596 0.582 0.570 0.560 0.550 0.546 0.549 0.557 0.559 0.557 0.550 0.540 0.530 0.520 0.509

Energy eV 2.30 2.40 2.50 2.60 2.70 2.80 2.90 3.00 3.10 3.20 3.30 3.40 3.50 3.60 3.70 3.80 3.85 3.90 4.00 4.20 4.40 4.60 4.80 5.00 5.20 5.40

1.86 1.81 1.78 1.75 1.71 1.68 1.63 1.59 1.55 1.50 1.44 1.37 1.30 1.24 1.17 1.11 1.08 1.06 1.04 1.05 1.13 1.17 1.21 1.24 1.27 1.17

2.56 2.47 2.39 2.34 2.29 2.25 2.21 2.17 2.15 2.12 2.09 2.06 2.01 1.96 1.90 1.83 1.78 1.73 1.62 1.45 1.33 1.29 1.23 1.21 1.20 1.16

R(φ = 0) 0.495 0.483 0.471 0.462 0.456 0.451 0.447 0.444 0.442 0.442 0.442 0.443 0.443 0.441 0.436 0.430 0.423 0.413 0.389 0.333 0.284 0.265 0.244 0.236 0.228 0.228

Section 4: Metals

345

Titanium (polycrystalline)18—continued Energy eV

n

5.60 5.80 6.00 6.20 6.40 6.60 6.80 7.00 7.20 7.40 7.60 7.80 8.00 8.20 8.40 8.60 8.80 9.00 9.20 9.40 9.60 9.80 10.00 10.20 10.40 10.60 10.80 11.00 11.20 11.40 11.60 11.80 12.00 12.80 13.20 13.60 14.00

1.24 1.21 1.15 1.11 1.08 1.04 1.05 1.06 1.07 1.11 1.09 1.11 1.10 1.10 1.08 1.04 1.02 1.00 0.97 0.95 0.94 0.91 0.89 0.86 0.85 0.81 0.80 0.79 0.81 0.81 0.79 0.78 0.77 0.76 0.76 0.76 0.77

© 2003 by CRC Press LLC

k 1.21 1.22 1.21 1.18 1.14 1.06 1.02 0.97 0.95 0.94 0.92 0.93 0.94 0.95 0.95 0.96 0.95 0.94 0.93 0.91 0.90 0.88 0.88 0.85 0.83 0.79 0.76 0.72 0.69 0.69 0.68 0.67 0.65 0.55 0.52 0.48 0.45

R(φ = 0) 0.234 0.241 0.244 0.240 0.232 0.212 0.198 0.182 0.175 0.167 0.165 0.165 0.169 0.171 0.175 0.181 0.181 0.182 0.182 0.181 0.179 0.179 0.180 0.178 0.175 0.167 0.162 0.152 0.139 0.139 0.139 0.137 0.132 0.106 0.097 0.087 0.077

Energy eV 14.40 14.80 15.20 15.60 16.00 16.40 16.80 17.20 17.60 18.00 18.40 18.80 19.20 19.60 20.00 20.40 20.60 21.20 21.60 22.00 22.40 22.80 23.20 23.60 24.00 24.5 25.0 25.5 26.0 26.5 27.0 27.5 28.0 28.5 29.0 30.0

n 0.77 0.79 0.79 0.79 0.83 0.84 0.87 0.90 0.93 0.94 0.94 0.95 0.96 0.97 0.98 0.98 1.00 0.99 0.99 0.98 0.98 0.97 0.96 0.95 0.92 0.91 0.91 0.89 0.89 0.88 0.86 0.85 0.84 0.82 0.83 0.84

k 0.42 0.38 0.36 0.32 0.31 0.28 0.27 0.25 0.25 0.24 0.23 0.24 0.25 0.25 0.27 0.27 0.29 0.31 0.31 0.32 0.33 0.33 0.34 0.35 0.35 0.34 0.33 0.33 0.33 0.32 0.31 0.30 0.29 0.26 0.25 0.22

R(φ = 0) 0.069 0.058 0.052 0.045 0.037 0.030 0.025 0.020 0.017 0.165 0.017 0.016 0.016 0.017 0.018 0.019 0.020 0.023 0.024 0.025 0.027 0.028 0.030 0.031 0.033 0.032 0.032 0.032 0.032 0.032 0.032 0.033 0.033 0.029 0.027 0.022

346

Handbook of Optical Materials Tungsten19

Energy eV

n

0.10 0.20 0.25 0.30 0.34 0.38 0.42 0.46 0.50 0.54 0.58 0.62 0.66 0.70 0.74 0.78 0.82 0.86 0.90 0.94 0.98 1.00 1.10 1.20 1.30 1.40 1.50 1.60 1.70 1.80 1.90 2.00 2.10 2.20 2.30 2.40 2.50 2.60 2.70 2.80 2.90 3.00 3.10 3.20 3.30

14.06 3.87 2.56 1.83 1.71 1.86 1.92 1.69 1.40 1.23 1.17 1.28 1.45 1.59 1.83 2.12 2.36 2.92 3.11 3.15 3.15 3.14 3.05 3.00 3.12 3.29 3.48 3.67 3.84 3.82 3.70 3.60 3.54 3.49 3.49 3.45 3.38 3.34 3.31 3.31 3.32 3.35 3.39 3.43 3.45

© 2003 by CRC Press LLC

k 54.71 28.30 22.44 18.32 15.71 13.88 12.63 11.59 10.52 9.45 8.44 7.52 6.78 6.13 5.52 5.00 4.61 4.37 4.44 4.43 4.36 4.32 4.04 3.64 3.24 2.96 2.79 2.68 2.79 2.91 2.94 2.89 2.84 2.76 2.72 2.72 2.68 2.62 2.55 2.49 2.45 2.42 2.41 2.45 2.55

R(φ = 0) 0.983 0.981 0.980 0.979 0.973 0.963 0.954 0.952 0.952 0.948 0.938 0.917 0.888 0.856 0.810 0.759 0.710 0.661 0.660 0.658 0.653 0.649 0.627 0.590 0.545 0.515 0.500 0.494 0.507 0.518 0.518 0.512 0.506 0.497 0.494 0.493 0.487 0.480 0.472 0.466 0.461 0.459 0.460 0.465 0.476

Energy eV 3.40 3.50 3.60 3.70 3.80 3.90 4.00 4.20 4.40 4.60 4.80 5.00 5.20 5.40 5.60 5.80 6.00 6.20 6.40 6.60 6.80 7.00 7.20 7.40 7.60 7.80 8.00 8.20 8.40 8.60 8.80 9.00 9.20 9.40 9.60 9.80 10.00 10.20 10.40 10.60 10.80 11.00 11.20 11.40 11.60

n 3.39 3.24 3.13 3.05 2.99 2.96 2.95 3.02 3.13 3.24 3.33 3.40 3.27 2.92 2.43 2.00 1.70 1.47 1.32 1.21 1.12 1.06 1.01 0.98 0.95 0.93 0.94 0.94 0.96 0.99 1.01 1.01 1.02 1.03 1.05 1.09 1.13 1.19 1.24 1.27 1.29 1.28 1.27 1.25 1.22

k 2.66 2.70 2.67 2.62 2.56 2.50 2.43 2.33 2.32 2.41 2.57 2.85 3.27 3.58 3.70 3.61 3.42 3.24 3.04 2.87 2.70 2.56 2.43 2.30 2.18 2.06 1.95 1.86 1.76 1.70 1.65 1.60 1.55 1.50 1.44 1.38 1.34 1.33 1.34 1.36 1.39 1.42 1.44 1.46 1.48

R(φ = 0) 0.485 0.488 0.482 0.476 0.468 0.460 0.451 0.440 0.442 0.455 0.475 0.505 0.548 0.586 0.618 0.637 0.643 0.646 0.640 0.631 0.619 0.607 0.593 0.573 0.556 0.533 0.505 0.481 0.449 0.422 0.401 0.388 0.369 0.352 0.329 0.307 0.287 0.274 0.270 0.274 0.282 0.290 0.297 0.305 0.313

Section 4: Metals

347

Tungsten19—continued Energy eV

n

11.80 12.00 12.40 12.80 13.20 13.60 14.00 14.40 14.80 15.20 15.60 16.00 16.40 16.80 17.20 17.60 18.00 18.40 18.80 19.20 19.60 20.00 20.40 20.80 21.20 21.60 22.00 22.40

1.20 1.16 1.10 1.04 0.98 0.94 0.91 0.90 0.90 0.93 0.97 0.98 0.97 0.94 0.90 0.85 0.80 0.74 0.69 0.64 0.60 0.56 0.54 0.52 0.50 0.50 0.49 0.49

k 1.48 1.48 1.47 1.44 1.40 1.35 1.28 1.23 1.17 1.13 1.12 1.14 1.17 1.19 1.21 1.21 1.20 1.18 1.15 1.11 1.07 1.02 0.97 0.92 0.87 0.82 0.77 0.73

R(φ = 0) 0.318 0.323 0.329 0.333 0.332 0.325 0.312 0.296 0.276 0.255 0.246 0.249 0.260 0.273 0.289 0.304 0.317 0.330 0.340 0.347 0.353 0.354 0.350 0.342 0.331 0.318 0.303 0.287

Energy eV 22.80 23.20 23.60 24.00 24.40 24.80 25.20 25.60 26.00 26.40 26.80 27.00 27.50 28.00 28.50 29.00 29.50 30.00 31.00 32.00 33.00 34.00 35.00 36.00 37.00 38.00 39.00 40.00

n 0.49 0.49 0.48 0.49 0.50 0.51 0.53 0.55 0.57 0.59 0.61 0.62 0.64 0.67 0.69 0.71 0.73 0.75 0.78 0.79 0.82 0.84 0.85 0.85 0.84 0.83 0.81 0.80

k 0.69 0.66 0.62 0.57 0.53 0.49 0.46 0.43 0.40 0.38 0.37 0.36 0.34 0.32 0.31 0.30 0.30 0.29 0.29 0.29 0.28 0.29 0.31 0.32 0.33 0.33 0.33 0.33

R(φ = 0) 0.272 0.263 0.252 0.234 0.213 0.191 0.171 0.150 0.132 0.117 0.105 0.099 0.085 0.073 0.065 0.057 0.052 0.047 0.042 0.040 0.033 0.032 0.033 0.036 0.039 0.040 0.042 0.045

Zinc, E  c20 Energy eV 0.7514 0.827 0.866 0.952 0.992 1.033 1.078 1.127 1.181 1.240 1.305

© 2003 by CRC Press LLC

n 1.9241 1.7921 1.5571 1.4824 1.5762 1.5407 1.5853 1.7768 1.9808 2.8821 3.2039

k 7.5619 6.9973 6.7753 6.2296 5.8843 5.3192 4.9013 4.5307 4.2004 3.4766 3.0042

R(φ = 0) 0.883 0.874 0.881 0.868 0.847 0.823 0.793 0.748 0.701 0.575 0.520

Energy eV 1.377 1.459 1.550 1.653 1.722 1.823 1.937 1.984 2.066 2.094 2.119

n 2.9459 3.2523 3.8086 3.7577 3.5908 3.4234 3.0132 1.8562 1.4856 1.2525 1.0017

k 3.5761 4.2447 4.6212 4.6239 4.4614 4.3232 3.9974 3.9706 4.0555 3.9961 3.8683

R(φ = 0) 0.584 0.640 0.657 0.659 0.650 0.642 0.624 0.690 0.737 0.762 0.789

348

Handbook of Optical Materials Zinc, E  c20—continued

Energy eV 2.275 2.445 2.666 2.917

n 0.7737 0.6395 0.4430 0.3589

R(φ = 0)

k 3.9129 3.4013 3.1379 2.8140

0.832 0.821 0.851 0.853

Energy eV 3.220 3.594 4.065 4.678

n 0.3069 0.2737 0.2510 0.2354

k 2.5088 2.1737 1.8528 1.6357

R(φ = 0) 0.847 0.828 0.799 0.776

Zinc, E ⊥ c20 Energy eV 0.751 0.827 0.866 0.952 0.992 1.033 1.078 1.127 1.181 1.240 1.305 1.377 1.459 1.550 1.653

n 1.4469 1.4744 1.3628 1.3165 1.3835 1.2889 1.3095 1.6897 1.9701 2.8717 3.3991 3.1807 3.5064 4.1241 4.0269

k

R(φ = 0)

7.4158 6.9688 6.6886 6.2212 5.8910 5.4001 4.9025 4.4062 4.0176 3.2873 2.7684 3.4709 4.1994 4.7768 4.8027

0.905 0.892 0.892 0.881 0.863 0.850 0.822 0.746 0.684 0.555 0.497 0.569 0.630 0.664 0.667

Energy eV 1.722 1.823 1.937 1.984 2.066 2.094 2.119 2.275 2.255 2.666 2.917 3.220 3.594 4.06 4.678

n 3.9369 3.7549 3.4512 3.2515 2.0802 1.7084 1.3329 0.9725 0.7568 0.5470 0.4774 0.3911 0.3147 0.3013 0.2806

k 4.6356 4.3042 4.1942 4.2980 4.7231 4.7923 4.4751 4.2879 3.7627 3.4277 3.0476 2.7463 2.3041 2.0077 1.7997

R(φ = 0) 0.657 0.635 0.631 0.644 0.738 0.774 0.791 0.825 0.824 0.845 0.834 0.835 0.821 0.789 0.770

Zirconium (polycrystalline)20 Energy eV

n

k

R(φ = 0)

Energy eV

0.10 0.15 0.20 0.26 0.30 0.36 0.40 0.46

6.18 3.37 2.34 2.24 2.59 3.17 3.09 3.36

1.76 1.30 1.08 1.06 1.14 1.26 1.24 1.30

0.300 0.123 0.058 0.052 0.073 0.110 0.105 0.123

0.50 0.56 0.60 0.70 0.80 0.90 0.96 1.00

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n 4.13 5.01 5.18 4.54 4.03 3.74 3.69 3.66

k 1.44 1.58 1.61 1.51 1.42 1.37 1.36 1.35

R(φ = 0) 0.175 0.231 0.242 0.202 0.168 0.149 0.145 0.143

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349

Zirconium (polycrystalline)20—continued Energy eV

n

k

R(φ = 0)

Energy eV

1.10 1.20 1.30 1.40 1.50 1.60 1.70 1.80 2.00 2.10 2.20 2.30 2.40 2.50 2.60 2.70 2.80 2.90 3.00 3.10 3.30 3.40 3.50 3.60 3.70 3.80 3.90 4.00 4.20 4.40 4.60 4.80 5.00 5.20 5.40 5.60 5.80 6.00 6.20 6.40 6.60 6.80 7.00 7.20 7.40 7.60 7.80

3.65 3.53 3.25 3.10 3.02 2.88 2.68 2.49 2.14 1.99 1.87 1.78 1.71 1.62 1.54 1.46 1.40 1.34 0.30 1.26 1.19 1.16 1.13 1.10 1.07 1.04 1.01 0.98 0.94 0.89 0.85 0.81 0.78 0.77 0.77 0.80 0.87 1.00 1.11 1.23 1.33 1.42 1.49 1.54 1.58 1.61 1.63

1.35 1.33 1.27 1.25 1.23 1.20 1.16 1.12 1.03 1.00 0.97 0.94 0.92 0.90 0.88 0.86 0.84 0.82 0.81 0.80 0.77 0.76 0.75 0.74 0.73 0.72 0.71 0.70 0.68 0.67 0.65 0.64 0.63 0.62 0.62 0.63 0.66 0.71 0.75 0.78 0.81 0.84 0.86 0.88 0.89 0.90 0.90

0.142 0.134 0.116 0.106 0.100 0.091 0.078 0.067 0.047 0.040 0.034 0.030 0.027 0.024 0.022 0.019 0.018 0.016 0.016 0.015 0.014 0.013 0.013 0.013 0.013 0.012 0.012 0.012 0.013 0.013 0.014 0.014 0.015 0.016 0.016 0.014 0.013 0.012 0.013 0.014 0.016 0.018 0.020 0.022 0.023 0.024 0.025

8.00 8.20 8.40 8.60 8.80 9.00 9.20 9.40 9.60 9.80 10.00 10.20 10.40 10.50 10.60 10.80 11.00 11.20 11.40 11.60 11.80 12.00 12.40 12.80 13.20 13.60 14.00 14.40 14.80 15.20 15.60 16.00 16.40 16.80 16.40 16.80 17.20 17.60 18.00 18.40 18.80 19.20 19.60 20.00 20.60 21.00 21.60

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n 1.66 0.67 1.68 1.68 1.66 1.65 1.63 1.60 1.57 1.52 1.47 1.42 1.35 1.32 1.28 1.23 1.19 1.16 1.13 1.11 1.09 1.08 1.05 1.01 0.98 0.95 0.92 0.89 0.90 0.92 0.95 0.98 1.01 1.04 1.01 1.04 1.09 1.13 1.17 1.21 1.24 1.27 1.29 1.30 1.29 1.27 1.23

k 0.91 0.91 0.92 0.92 0.91 0.91 0.90 0.89 0.89 0.87 0.86 0.84 0.82 0.81 0.80 0.78 0.77 0.76 0.75 0.74 0.74 0.73 0.72 0.71 0.70 0.69 0.68 0.67 0.67 0.68 0.69 0.70 0.71 0.72 0.71 0.72 0.74 0.75 0.76 0.78 0.79 0.80 0.80 0.81 0.80 0.80 0.78

R(φ = 0) 0.026 0.026 0.026 0.026 0.026 0.025 0.025 0.024 0.023 0.021 0.020 0.018 0.016 0.016 0.015 0.014 0.014 0.013 0.013 0.013 0.013 0.013 0.012 0.012 0.012 0.013 0.013 0.013 0.013 0.013 0.013 0.012 0.012 0.012 0.012 0.012 0.013 0.013 0.014 0.014 0.014 0.015 0.015 0.015 0.015 0.015 0.014

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Handbook of Optical Materials Zirconium (polycrystalline)20—continued

Energy eV

n

k

R(φ = 0)

22.00 22.60 23.00 23.60 24.00 24.60 25.00 25.60 26.00

1.20 1.15 1.12 1.08 1.05 1.02 1.00 0.97 0.95

0.77 0.76 0.75 0.73 0.73 0.71 0.71 0.69 0.69

0.014 0.013 0.013 0.013 0.013 0.012 0.012 0.012 0.013

Energy eV 26.60 27.00 27.60 28.00 28.60 29.00 29.60 30.00

n 0.91 0.88 0.84 0.83 0.82 0.81 0.82 0.82

k 0.67 0.66 0.65 0.64 0.64 0.64 0.64 0.64

R(φ = 0) 0.013 0.013 0.014 0.014 0.014 0.014 0.014 0.014

References: 1. Weaver, J. H. Krafka, C., Lynch, D. W. and Koch, E. E., Optical Properties of Metals, Volumes I and II, Physics Data, Nr. 18-1 and 18-2, (Fachinformationzentrum, Karlsruhe, Germany). 2. Palik, E. D., Ed., Handbook of Optical Constants, Vol. I and Vol. II ( Academic Press, New York, 1985 and 1991). 3. Gray, D. E., Coord. Ed., American Institute of Physics Handbook, 3rd Edition ( McGraw-Hill Book Co., New York, 1972). 4. Shiles, E., Sasaki, T., Inokuti, M., and Smith, D. Y., Phys. Rev. Sect. B, 22, 1612 (1980). 5. Bos, L. W., and Lynch, D. W., Phys. Rev. Sect. B, 2, 4567 (1970). 6. Hagemann, H. J., Gudat, W., and Kunz, C., J. Opt. Soc. Am., 65, 742 (1975). 7. Potter, R. F., Handbook of Optical Constant, Vol. I ( Academic Press, New York, 1985), p. 465. 8. Olson, C. G., Lynch, D. W., and Weaver, J. H., unpublished. 9. Weaver, J. H., Olson, C. G., and Lynch, D. W., Phys. Rev. Sect. B, 15, 4115 (1977). 10. Weaver, J. H., Colavita, E., Lynch, D. W., and Rosei, R., Phys. Rev. Sect. B, 19, 3850 (1979). 11. Priol, M. A., Daudé, A., and Robin, S., Compt. Rend., 264, 935 (1967). 12. Weaver, J. H., Lynch, D. W., and Olson, D. G., Phys. Rev. Sect. B, 10, 501 (1973). 13. Lynch, D. W., Rosei, R., and Weaver, J. H., Solid State Commun., 9, 2195 (1971). 14. Weaver, J. H., Lynch, D. W., and Olson, C. G., Phys. Rev. Sect. B, 7, 431 (1973). 15. Weaver, J. H., and Benbow, R. L., Phys. Rev. Sect. B, 12, 3509 (1975). 16. Weaver, J. H., Phys. Rev. B, 11, 1416 (1975). 17. Edwards, D. F., in Handbook of Optical Constants, Vol. I ( Academic Press, New York, 1985), p. 547. 18. Johnson, P. B., and Christy, R. W., Phys. Rev. Sect. B, 9, 5056 (1974). 19. Weaver, J. H., Lynch, D. W., and Olson, C. G., Phys. Rev. Sect. B, 12, 1293 (1975). 20. Lanham, A. P., and Terherne, D. M., Proc. Phys. Soc., 83, 1059 (1964).

Spectra Spectra of n and k and of the normal incidence absorptance A and reflectance R are shown graphically in Figures 4.2.1–4.2.24 for the following metals [figures are from Lynch, D. W., Mirror and reflector materials, Handbook of Laser Science and Technology, Vol. IV, Optical Materials, Part 2 (CRC Press, Boca Raton, FL, 1986), p. 185]. Aluminum Copper Germanium

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Gold Iron Molybdenum

Nickel Niobium Platinum

Silicon Silver Tungsten

Section 4: Metals

Figure 4.2.1 Real (n) and imaginary (k) part of the index of refraction for aluminum.

Figure 4.2.2 Reflectance and absorptance (A) for aluminum calculated for normal incidence from the data of Figure 4.2.1. Note that A = 1 – R and a semi-infinite sample is assumed, i.e., the sample is thick enough to be opaque.

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Figure 4.2.3 Real (n) and imaginary (k) part of the index of refraction for copper.

Figure 4.2.4 Reflectance and absorptance (A) for copper calculated for normal incidence from the data of Figure 4.2.3. Note that A = 1 – R and a semi-infinite sample is assumed, i.e., the sample is thick enough to be opaque.

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Section 4: Metals

Figure 4.2.5 Real (n) and imaginary (k) part of the index of refraction for germanium.

Figure 4.2.6 Reflectance (R) for germanium calculated for normal incidence from the data of Figure 4.2.4. Germanium is transparent for wavelengths >1.8 µm and no effect from a second surface has been considered in calculating R.

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Figure 4.2.7 Real (n) and imaginary (k) part of the index of refraction for gold.

Figure 4.2.8 Reflectance and absorptance (A) for gold calculated for normal incidence from the data of Figure 4.2.7. Note that A = 1 – R and a semi-infinite sample is assumed, i.e., the sample is thick enough to be opaque.

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Section 4: Metals

Figure 4.2.9 Real (n) and imaginary (k) part of the index of refraction for iron.

Figure 4.2.10 Reflectance and absorptance (A) for iron calculated for normal incidence from the data of Figure 4.2.9. Note that A = 1 – R and a semi-infinite sample is assumed, i.e., the sample is thick enough to be opaque.

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Figure 4.2.11 Real (n) and imaginary (k) part of the index of refraction for molybdenum.

Figure 4.2.12 Reflectance and absorptance (A) for molybdenum calculated for normal incidence from the data of Figure 4.2.11. Note that A = 1 – R and a semi-infinite sample is assumed, i.e., the sample is thick enough to be opaque.

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Section 4: Metals

Figure 4.2.13 Real (n) and imaginary (k) part of the index of refraction for nickel.

Figure 4.2.14 Reflectance and absorptance (A) for nickel calculated for normal incidence from the data of Figure 4.2.13. Note that A = 1 – R and a semi-infinite sample is assumed, i.e., the sample is thick enough to be opaque.

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Figure 4.2.15 Real (n) and imaginary (k) part of the index of refraction for niobium.

Figure 4.2.16 Reflectance and absorptance (A) for niobium calculated for normal incidence from the data of Figure 4.2.15. Note that A = 1 – R and a semi-infinite sample is assumed, i.e., the sample is thick enough to be opaque.

© 2003 by CRC Press LLC

Section 4: Metals

Figure 4.2.17 Real (n) and imaginary (k) part of the index of refraction for platinum.

Figure 4.2.18 Reflectance and absorptance (A) for platimum calculated for normal incidence from the data of Figure 4.2.17. Note that A = 1 – R and a semi-infinite sample is assumed, i.e., the sample is thick enough to be opaque.

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Figure 4.2.19 Real (n) and imaginary (k) part of the index of refraction for silicon.

Figure 4.2.20 Reflectance and absorptance (A) for silicon calculated for normal incidence from the data of Figure 4.2.19. Silicon is transparent for wavelengths > 1.2 µm and no effect from a second surface has been considered in calculating R.

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Section 4: Metals

Figure 4.2.21 Real (n) and imaginary (k) part of the index of refraction for silver.

Figure 4.2.22 Reflectance and absorptance (A) for silver calculated for normal incidence from the data of Figure 4.2.21. Note that A = 1 – R and a semi-infinite sample is assumed, i.e., the sample is thick enough to be opaque.

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Figure 4.2.23 Real (n) and imaginary (k) part of the index of refraction for tungsten.

Figure 4.2.24 Reflectance and absorptance (A) for tungsten calculated for normal incidence from the data of Figure 4.2.23. Note that A = 1 – R and a semi-infinite sample is assumed, i.e., the sample is thick enough to be opaque.

© 2003 by CRC Press LLC

Section 4: Metals

363

Emittance Emittance is the ratio of radiated emitted power of a surface (W/m2) to the emissive power of a blackbody at the same temperature. The total emittance is an integral over all wavelengths; the spectral emittance is given as a function of wavelength at constant temperature. Normal Spectral Emittance (650 nm) Metal

Emissivity

Beryllium

0.61

Chromium

0.34

Copper

0.10

Gold

0.14

Iron

0.35

Iron (cast)

0.37

Molybdenum

0.37

Nickel

0.36

Nickel (80) -chromium (20) Palladium

0.35

Platinum

0.30

Silver

0.07

Steel

0.35

Tantalum

0.49

Titanium

0.63

Tungsten

0.43

Zirconium

0.32

0.33

From the CRC Handbook of Chemistry and Physics, 75th edition, Lide, D. R., Ed. (CRC Press, Boca Raton, FL, 1994), p. 10-296.

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Handbook of Optical Materials Total Emittance Metal Aluminum polished oxidized Chromium polished Copper oxidized unoxidized polished Gold carefully polished unoxidized Iron, cast oxidized unoxidized Molybdenum Nickel polished unoxidized

Nickel (80) -chromium (20) Platinum polished unoxidized

Silver polished unoxidized Steel 8%Ni, 18%Cr cast, polished oxidized unoxidized Tantalum unoxidized Tungsten unoxidized

Zinc polished unoxidized

Temperature (˚C)

Emissivity

50–500 200 600

0.04–0.06 0.11 0.19

50 500–1000

0.1 0.28–0.38

50 500 100 50–100

0.6–0.7 0.88 0.02 0.02

200–600 100

0.02–0.03 0.02

200 600 100 600–1000

0.64 0.78 0.21 0.08–0.13

200–400 25 100 500 1000

0.07–0.09 0.045 0.06 0.12 0.19

100 600

0.87 0.87

200–600 25 100 500

0.05–0.1 0.017 0.047 0.096

200–600 100 500

0.02–0.03 0.02 0.035

500 750–1050 200–600 100

0.35 0.52–0.56 0.8 0.08

1500

0.21

25 100 500

0.024 0.032 0.071

200–300 300

0.04–0.05 0.05

From the CRC Handbook of Chemistry and Physics, 75th edition, Lide, D. R., Ed. (CRC Press, Boca Raton, FL, 1994), p. 10-295.

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Section 4: Metals

365

Reflectance of Freshly Evaporated Mirror Coatings Normal Incidence Reflectance (%) λ (nm)

Aluminum

220 240 260 280 300 320 340 360 380 400 450 500 550 600 650 700 750 800 850 900 950 1000 1500 2000 3000 4000 5000 6000 7000 8000 9000 10000

91.5 91.9 92.2 92.3 92.3 92.4 92.5 92.5 92.5 92.4 92.2 91.8 91.5 91.1 90.5 89.7 88.6 86.7 86.7 89.1 92.4 94.0 97.4 97.8 98.0 98.2 98.4 98.5 98.6 98.7 98.7 98.7

Copper

Gold

Platinum

Rhodium

Silver

40.4 39.0 35.5 33.0 33.6 36.3 38.5 41.5 44.5 47.5 55.2 60.0 66.9 93.3 96.6 97.5 97.9 98.1 98.3 98.4 98.4 98.5 98.5 98.6 98.6 98.7 98.7 98.7 98.7 98.8 98.8 98.9

27.5 31.6 35.6 37.8 37.7 37.1 36.1 36.3 37.8 38.7 38.7 47.7 81.7 91.9 95.5 97.0 97.4 98.0 98.2 98.4 98.5 98.6 99.0 99.1 99.3 99.4 99.4 99.4 99.4 99.4 99.4 99.4

40.5 46.9 51.5 54.9 57.6 60.0 62.0 63.4 64.9 66.3 69.1 71.4 73.4 75.2 76.4 77.2 77.9 78.5 79.5 80.5 80.6 80.7 81.8 81.8 90.6 93.7 94.9 95.6 95.9 96.0 96.1 96.2

57.8 63.2 67.7 70.7 73.4 75.5 76.9 78.0 78.1 77.4 76.0 76.6 78.2 79.7 81.1 82.0 82.6 83.1 83.4 83.6 83.9 84.2 87.7 91.4 95.0 95.8 96.4 96.8 97.0 97.2 97.4 97.6

28.0 29.5 29.2 25.2 17.6 8.9 72.9 88.2 92.8 95.6 97.1 97.9 98.3 98.6 98.8 98.9 99.1 99.2 99.2 99.3 99.3 99.4 99.4 99.4 99.4 99.4 99.5 99.5 99.5 99.5 99.5

Reference: Hass, G., in Applied Optics and Optical Engineering, vol. III, Kingslake, R., Ed., (Academic Press, New York, 1965), p. 309. See also, Palmer, J. M., Handbook of Optics (McGrawHill, New York, 1995), Chapter 25 and references cited therein.

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4.3 Mechanical Properties Elastic Constants Elastic stiffness constants (1011 N/m2)

Metal Cubic crystals

C11

C12

C44

Aluminum

1.0675

0.6041

0.2834

Chromium

3.398

0.586

0.990

Copper

1.683

1.221

0.757

Germanium

1.2835

0.4823

0.6666

Gold

1.9244

1.6298

0.4200

Iridium

5.80

2.42

2.56

Iron

2.26

1.40

1.16

Molybdenum

4.637

1.578

1.092

Nickel

2.841

1.529

1.242

Niobium

2.4650

1.3450

0.2873

Palladium

2.2710

1.7604

0.7173

Platinum

3.4670

2.5070

0.7650

Silicon

1.6578

0.6394

0.7962

Silver

1.2399

0.9367

0.4612

Tantalum

2.6023

1.5446

0.8255

Tungsten

5.2239

2.0437

1.6083

C11

C12

C13

C33

C55

Beryllium

2.923

0.267

0.140

3.364

1.625

Magnesium

0.5950

0.2612

0.2180

0.6155

0.1635

Zinc

1.6368

0.3640

0.5300

0.6347

0.3879

Zirconium

1.434

0.728

0.657

1.648

0.320

Hexagonal crystals

Reference: Frederikse, H. P. R., Elastic constants of single crystals, Handbook of Chemistry and Physics, 82nd edition (CRC Press, Boca Raton, FL, 1994), p. 12-37.

Elastic Moduli and Poisson’s Ratio Material

Young’s modulus (GN/m2)

Shear modulus (GN/m2)

Bulk modulus (GN/m2)

Poisson’s ratio

Aluminum 5086-O 6061-T6

71.0

26.4

—

0.33

68.9

25.9

—

0.33

Beryllium (I-701-H)

315.4

148.4

115.0

0.043

Copper

129.8

48.3

137.8

0.343

79.9

29.6

—

0.32

Germanium Gold

78.5

26.0

171.0

0.42

Invar 36

144.0

26.0

99.4

0.259

Iron

211.4

57.2

169.8

0.293

© 2003 by CRC Press LLC

Section 4: Metals Elastic Moduli and Poisson’s Ratio—continued Material

Young’s modulus (GN/m2)

Shear modulus (GN/m2)

Bulk modulus (GN/m2)

Poisson’s ratio

Molybdenum

324.8

81.6

261.2

0.293

Nickel

199.5

125.6

177.3

0.312

Platinum

170.0

76.0

276.0

0.39

Silicon

113.0

60.9

—

0.42

CVD

461.0

39.7

reaction sintered

413.0

Silicon carbide

Silver

0.21

—

—

0.24

103.6

0.367

83.9

—

0.27

215.0

80.0

166.0

0.283

200

62.2

—

0.27

82.7

30.3

304

193.0

416 430

Stainless steel

77.0

Tantalum

185.7

Tungsten

411

160.2

196.3

0.342

311.0

0.28

Table adapted from Palmer, J. M., Handbook of Optics, Vol.II (McGraw-Hill, New York, 1995), p. 35.73.

Strength Properties Material Aluminum 5086-O 6061-T6 Beryllium (I-701-H) Copper Gold Invar 36 Molybdenum Nickel Platinum Silver Stainless steel 304 416 430 Tantalum Tungsten 2

Yield strength (MN/m2)

115 276 276 195 125 276 600 148 150 130 241 950 380 220 780

Microyield strength (MN/m2)

40 160 30 12 37

Elongation (in 50 mm) %

22 15 4 42 30 35 47 35

Hardness

47

55 (Rockwell B) 95 (Rockwell B) 80 (Rockwell B) 10 (Rockwell B) 30 (Knoop*) 70 (Rockwell B) 150 (Knoop*) 109 (Rockwell B) 40 (Knoop*) 32 (Knoop*)

60 12 25 30 2

80 (Rockwell B) 41 (Rockwell C) 86 (Rockwell B) 120 (Knoop*) 350 (Knoop*)

* kg/mm Table adapted from Palmer, J. M., Handbook of Optics, Vol.II (McGraw-Hill, New York, 1995), p. 35.74.

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4.4 Thermal Properties Thermal Properties Metal Aluminum Beryllium Chromium Copper Gold Iridium Iron Magnesium Molybdenum Nickel Niobium Osmium Palladium Platinum Rhenium Rhodium Silver Tantalum Tin Titanium Tungsten Zinc Zirconium

Density(a) (g/cm3) 2.70 1.85 7.15 8.96 19.3 22.5 7.87 1.74 10.2 8.9 8.57 22.59 12.0 21.5 20.8 12.4 10.5 16.4 7.28 4.5 19.3 7.14 6.52

Melting point (˚C)

Coeff. linear expansion(a) (10-6 K-1)

660.3 1287 1907 1084.6 1064.3 2446 1538 650 2623 1455 2477 3033 1555 1768.4 3186 1964 961.8 3017 231.9 1668 3422 419.5 1855

23.1 11.3 4.9 16.5 14.2 6.4 11.8 24.8 4.8 13.4 7.3 5.1 11.8 8.8 6.2 8.2 18.9 6.3 22.0 8.6 4.5 30.2 5.7

Specific heat capacity (J/g K) 0.897 1.825 0.449 0.385 0.129 0.131 0.449 1.023 0.251 0.444 0.265 0.130 0.246 0.133 0.137 0.243 0.235 0.140 0.228 0.523 0.132 0.388 0.278

Thermal conductivity(b) (W/m K) 237 200 93.7 401 317 147 80.2 156 138 90.7 53.7 87.6 71.8 71.6 47.9 150 429 57.5 66.6 21.9 174 116 27.7

(a) 25˚C, (b) 27˚C. From the CRC Handbook of Chemistry and Physics, 82nd edition, Lide, D. R., Ed. (CRC Press, Boca Raton, FL, 2001), p. 12-219.

Temperature Dependence of Linear Thermal Expansion Coefficient (ppm/K) Temperature (K) Aluminum (6061) Beryllium Copper Gold Iron Molybdenum Nickel Silicon Silicon carbide (α) Silver Stainless steel (304) Stainless steel (416)

100

200

12.2 1.32 10.3 11.8 506 2.8 6.6 -0.4 0.14 14.2 11.4 6

20.9 7.00 15.2 13.7 10.1 4.6 11.3 1.5 1.5 17.8 13.2 7.9

293 22.5 11.3 16.5 14.2 11.8 4.8 13.4 2.6 3.3 18.9 14.7 9.5

400 25.0 13.6 17.6 14.8 13.4 4.9 14.5 3.2 4 19.7 16.3 10.9

500 27.5 15.1 18.3 15.4 14.4 5.1 15.3 3.5 4.2 20.6 17.5 12.1

600 30.1 16.6 18.9 15.9 15.1 5.3 15.9 3.7 4.5 21.5 18.6 12.9

Adapted from Palmer, J. M., Properties of metals, in Handbook of Optics, Vol.II (McGraw-Hill, New York, 1995), p. 35.60.

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Section 4: Metals

369

Temperature Dependence of Molar Heat Capacity (J/mol K) Temp. (K)

200

250

300

350

400

500

600

Aluminum

21.33

23.08

24.25

25.11

25.78

26.84

27.89

Beryllium

9.98

13.58

16.46

18.53

19.95

21.94

23.34

Chromium

19.86

22.30

23.47

24.39

25.23

26.63

27.72

Copper

22.63

23.77

24.48

24.95

25.33

25.91

26.48

Germanium

—

—

23.25

23.85

24.31

24.96

25.45

Gold

—

—

25.41

25.37

25.51

26.06

26.65

Iron

21.95

23.94

25.15

26.28

27.39

29.70

32.05

Magnesium

22.72

24.02

24.90

25.57

26.14

27.17

28.18

Silicon

15.64

18.22

20.04

21.28

22.14

23.33

24.15

25.36

25.55

25.79

26.36

26.99

Silver Tantalum

24.08

24.86

25.31

25.60

25.84

26.35

26.84

Titanium

22.37

24.07

25.28

26.17

26.86

27.88

28.60

Tungsten

22.49

23.69

24.30

24.65

24.92

25.36

25.79

Zinc

24.05

25.02

25.45

25.88

26.35

27.39

28.59

Zirconium

23.87

24.09

25.22

25.61

25.93

26.56

27.28

From the CRC Handbook of Chemistry and Physics, 82nd edition, Lide, D. R., Ed. (CRC Press, Boca Raton, FL, 2001), p. 12-218.

Temperature Dependence of Thermal Conductivity (W/m K) Temp. (K) Aluminum Chromium Copper Germanium

4

20

15700

11700

80

200

300

400

600

432

237

237

240

231

160

593

184

111

16200

10800

557

413

877

1490

325

1580

332

Iron

677

1540

175

94

80.2

69.5

54.7

Nickel

859

1650

210

107

90.7

80.2

65.6

Platinum

880

495

Silicon

297

4810

1340

264

148

Silver

14700

5100

471

430

429

Tin

18100

320

Titanium Tungsten

5.75 5630

27.5 4050

91.5 32.6 229

72.6

73.3 24.5 185

317

71.6

66.6 21.9 174

43.2

80.7 379

2090

323

59.9

90.9 393

Gold

81.5

96.8

93.7 401

311

27.3 298

71.8

73.2

98.9

61.9

425 62.2 20.4 159

412 — 19.4 137

From the CRC Handbook of Chemistry and Physics, 82nd edition, Lide, D. R., Ed. (CRC Press, Boca Raton, FL, 2001), p. 12-221.

© 2003 by CRC Press LLC

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4.5 Mirror Substrate Materials Tables adapted from Palmer, J. M., Properties of metals, in Handbook of Optics, Vol.II (McGraw-Hill, New York, 1995), p. 35.11.

Mirror Substrate Materials Material Fused silica Beryllium (I-70) Aluminum (6061) Copper Stainless steel (304) Invar (36) Silicon Silicon carbide (30% Si) Silicon carbide CVD)

Density (g/cm3)

Young’s modulus (GN/m2)

2.19 1.85 2.70 8.94 8.00 8.05 2.33 2.89 3.21

Specific stiffness (arbitrary units)

72 287 68 117 193 141 131 330 465

33 155 25 13 24 18 56 114 145

Thermal Properties of Substrate Materials Material Fused silica Beryllium (I-70) Aluminum (6061) Copper Stainless steel (304) Invar (36) Silicon Silicon carbide (30% Si) Silicon carbide CVD)

Coeff. linear expansion (106 K-1)

Specific heat capacity (J/g K)

0.50 11.3 22.5 16.5 14.7 1.0 2.6 2.6 2.4

750 1925 896 385 500 515 710 670 733

Thermal conductivity (W/m K 1.4 216 167 391 16.2 10.4 156 155 198

Thermal diffusivity (10-6 m2/s) 0.85 57.2 69 115.5 4.0 2.6 89.2 81.0 82.0

Thermal Distortion of Substrate Materials Material Fused silica Beryllium (I-70) Aluminum (6061) Copper Stainless steel (304) Invar (36) Silicon Silicon carbide (30% Si) Silicon carbide CVDi)

Steady state distortion coefficient(a) (µm/W) 0.36 0.05 0.13 0.53 0.91 0.10 0.02 0.02 0.01

(a) Linear expansion coefficient/thermal conductivity. (b) Linear expansion coefficient/thermal diffusivity.

© 2003 by CRC Press LLC

Transient distortion coefficient(b) (s/ m2 K) 0.59 0.20 0.33 0.14 3.68 0.38 0.03 0.03 0.03

Section 5: Liquids

5.1 5.2 5.3 5.4 5.5 5.6 5.7

Introduction Water Physical Properties of Selected Liquids Index of Refraction Nonlinear Optical Properties Magnetooptic Properties Commercial Optical Liquids

© 2003 by CRC Press LLC

Section 5: Liquids

373

Section 5 LIQUIDS 5.1 Introduction Liquids in this section include water (H2O), heavy water (D2O), and the following selected organic materials (CAS – Chemical Abstract Service Registry Number): CAS no. 100 10411

Liquid

CAS no.

acetic acid, C2H4O2

5672

acetone, C3H6O

5569

867

benzene, C6H6

10186

998

Liquid ethanol, C2H6O ethylene glycol, C2H6O2 glycerine (glycerol), C3H8O3

bromobenzene, C6H5Br

6355

heptane, C7H16

3993

carbon disulfide, CS2

6632

hexadecane, C16H34

7540

carbon tetrachloride, CCl4

6731

hexane, C6H14

7554

chloroform, CHCl3

7581

methanol, CH4O

4305

cyclohexane, C6H12

4426

methylcyclohexane, C7H14

5529

1,2-dichloroethane, C2H4Cl2

7915

1-methylnaphthalene, C11H10

7499

dichloromethane, CH2Cl2

2049

nitrobenzene, C6H5NO2

7529

dimethylsulfoxide, C2H6OS

1947

toluene, C7H8

5187

1,4-dioxane, C4H8O2

8848

2,2,4-trimethylpentane, C8H18

5.2 Water 5.2.1 Physical Properties Density, specific heat capacity at constant pressure (Cp), viscosity, vapor pressure, thermal conductivity, dielectric constant, and surface tension of water. All values (except vapor pressure) at for a pressure of 100 kPa (1 bar). Temperature scale is IPTS-68. Temp. (ºC) 0 10 20 30 40 50 60 70 80 90 100

Density (g/cm3) 0.99984 0.99970 0.99821 0.99565 0.99222 0.98803 0.98320 0.97778 0.97182 0.96535 0.95840

Cp (J/g K) 4.2176 4.1921 4.1818 4.1784 4.1785 4.1806 4.1843 4.1895 4.1963 4.2050 4.2159

Visc. (µPa s) 0.6113 1.2281 2.3388 4.2455 7.3814 12.344 19.932 31.176 47.373 70.117 101.325

Vapor press. (kPa) 1793 1307 1002 797.7 653.2 547.0 466.5 404.0 354.4 314.5 281.8

Therm. cond. (mW/m K)

Diel. const.

Surf. tens. (mN/m)

561.0 580.0 598.4 615.4 630.5 643.5 654.3 663.1 670.0 675.3 679.1

87.90 83.96 80.20 76.60 73.17 69.88 66.73 63.73 60.86 587.12 55.51

75.64 74.23 72.75 71.20 69.60 67.94 66.24 64.47 62.67 60.82 58.91

From the CRC Handbook of Chemistry and Physics, 82nd edition, Lide, D. R., Ed. (CRC Press, Boca Raton, FL, 2001), p. 6-3.

© 2003 by CRC Press LLC

374

Handbook of Optical Materials

5.2.2 Absorption Linear Absorption Coefficient α of Water* λ (nm)

α

185 186 187 188 189 190 400 410 420 430 440 450 460.7 469.4 480.7 490.1 499.9 510.1 520.7 529.0 540.4 546.3 574.5 580 585 590 595 598.6 600 602.2 605 610 615 620 625 630 635 640 645 649.2 650 655

14600 9700 6000 3800 2300 1400 5.8 4.7 3.8 4.0 3.2 3.3 2.11 2.05 1.86 1.89 2.33 3.13 3.80 4.09 4.80 5.28 8.05 10.9 11.9 17.2 21.4 19.25 27.2 23.2 29.3 29.3 30.0 30.9 30.5 32.0 32.5 33.4 33.9 32.3 35.1 38.7

© 2003 by CRC Press LLC

(10-4

cm-1)

Ref.

λ (nm)

1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 2 3 2 2 2 2 2 2 2 2 2 3 2 2

660 665 670 675 680 685 690 690 694.2 695 700 702 705 710 714 715 720 725 725 730 735 735 740 745 746 750 752 755 758 760 769 770 780 781 790 794 806 813 820 833 847 862

α (10-4 cm-1) 40.7 41.9 42.5 43.8 44.7 46.7 49 51.5 52.6 56.9 64.8 69 75.0 90.4 98 111.4 137.5 134 175.6 230.9 238 260.8 269.8 271.2 275 268.3 281 269.6 272 268.5 251 251.9 234.6 230 205.2 210 195 191 199 308 387 428

Ref. 2 2 2 2 2 2 4 2 3 2 2 4 2 2 4 2 2 4 2 2 4 2 2 2 4 2 4 2 4 2 4 2 2 4 2 4 4 4 4 4 4 4

Section 5: Liquids

375

Linear Absorption Coefficient α of Water*—continued λ (nm)

α (10-4 cm-1)

877 893 909 926 935 943 952 962 973 980 990 1000 1010 1020 1031 1042 1053 1070 1087 1099 1111 1124 1136 1149 1163 1176 1190 1205 1220 1235 1250 1266 1282 1299 1316 1333 1351

506 609 750 1190 1580 2140 3220 4710 5140 5020 4690 4160 3510 2850 2310 1900 1640 1480 1660 1920 2320 3230 5480 9700 11800 12300 12500 12500 12200 11700 11100 10700 11300 13400 16700 22500 38700

Ref.

λ (nm)

4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4

1370 1389 1408 1429 1443 1471 1493 1515 1538 1563 1587 1613 1639 1667 1695 1724 1754 1786 1802 1818 1852 1887 1927 1961 2000 2041 2083 2128 2198 2273 2326 2381 2439 2500 2564 2632

α (10-4 cm-1) 54500 91300 215000 310000 317000 285000 217000 156000 121000 96800 80700 68000 60700 56500 56500 62300 76000 91800 94800 94400 108000 575000 1240000 1090000 692000 450000 310000 236000 193000 230000 293000 418000 635000 957000 1110000 1930000

Ref. 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4

* Measurements made at room temperature (Ref. 1 – 298 K; Ref. 2 – 296 ± 1.5 K; Ref. 4 – 300 K).

References: 1. Barrett, J. and Mansell, A. L., Ultra-violet absorption spectra of the molecules H2O, HDO and D2, Nature 187, 138 (1960).

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Handbook of Optical Materials

2. Sullivan, S. A., Experimental study of the absorption in distilled water, artificial sea water, and heavy water in the visible region of the spectrum, J. Opt. Soc. Am. 53, 962 (1963). This reference contains additional values of α at wavelengths intermediate to those given above. 3. Tam, A. C. and Patel, C. K. N., Optical absorption of light and heavy water by laser optoacoustic spectroscopy, Appl. Opt. 18, 3348 (1979). 4. Palmer, K. F. and Williams, D., Optical properties of water in the near infrared, J. Opt. Soc. Am. 64, 1107 (1974).

Absorption Coefficient α for Water in the Infrared (T = 298 K) λ (nm)

α (cm-1)

0.700 0.725 0.750 0.775 0.800 0.825 0.850 0.875 0.900 0.925 0.950 0.975 1.00 1.20 1.40 1.60 1.80 2.00 2.20 2.40 2.60 2.65 2.70 2.75 2.80 2.85 2.90 2.95 3.00 3.05 3.10 3.15 3.20 3.25 3.30 3.35 3.40

0.00602 0.0159 0.0261 0.0240 0.0196 0.0277 0.0433 0.0562 0.0678 0.144 0.374 0.449 0.363 1.04 12.4 67.2 80.3 69.1 16.5 50.1 153 318 845 2700 5120 8160 11600 12700 11400 9890 7780 5390 3630 2360 1400 979 720

© 2003 by CRC Press LLC

λ (nm) 3.45 3.50 3.6 3.7 3.8 3.9 4.0 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 5.0 5.1 5.2 5.3 5.4 5.5 5.6 5.7 5.8 5.9 6.0 6.1 6.2 6.3 6.4 6.5 6.6 6.7 6.8 6.9 7.0

α (cm-1) 481 338 180 122 112 122 145 172 206 247 294 374 402 420 393 351 312 274 244 232 240 265 319 448 715 1330 2240 2700 1800 1140 882 758 678 632 604 579 575

λ (nm)

α (cm-1)

7.1 7.2 7.3 7.4 7.5 7.6 7.7 7.8 7.9 8.0 8.2 8.4 8.6 8.8 9.0 9.2 9.4 9.6 9.8 10.0 10.5 11.0 11.5 12.0 12.5 13.0 13.5 14.0 14.5 15.0 15.5 16.0 16.5 17.0 17.5 18.0 18.5

566 560 554 550 546 542 540 540 539 539 538 540 544 550 557 567 579 594 614 639 793 1110 1550 2080 2600 2950 3190 3320 3360 3370 3360 3320 3260 3170 3060 2970 2860

Section 5: Liquids

377

Absorption Coefficient α for Water in the Infrared (T = 298 K)—continued λ (nm)

α (cm-1)

λ (nm)

19.0 19.5 20.0 21.0 22 23 24 25 26 27 28 29 30

2740 2600 2470 2290 2130 2010 1890 1780 1690 1600 1520 1440 1370

32 34 36 38 40 42 44 46 48 50 60 70 80

α (cm-1) 1270 1220 1200 1190 1210 1220 1250 1260 1280 1290 1230 1030 859

λ (nm)

α (cm-1)

90 100 110 120 130 140 150 160 170 180 190 200

749 669 607 551 497 449 415 390 367 348 331 317

Reference: Hale, G M. and Querry, M. R., Optical constants of water in the 200-nm to 200-_m wavelength region, Appl. Opt. 12, 555 (1973).

Heavy Water Absorption Coefficient α for Heavy water* λ (nm) 400 410 420 430 440 450 460 470 480 490 500 510 520 530

α (10-4 cm-1) 31.8 28.5 26.3 23.4 20.8 18.2 15.6 14.1 13.1 11.6 10.1 8.9 8.6 7.4

λ (nm) 540 550 560 570 580 590 600 610 620 630 640 650 660 670

α (10-4 cm-1) 6.3 5.8 5.3 5.4 4.9 4.4 4.2 4.0 4.0 3.3 3.2 3.4 2.9 3.5

λ (nm) 680 690 700 710 720 730 740 750 760 770 780 790

α (10-4 cm-1) 3.2 3.3 4.5 5.1 5.4 5.9 6.7 6.9 6.9 6.5 6.7 7.4

Temperature: 296 ± 1.5 K * 99.7% D2O

Reference: Sullivan, S. A., Experimental study of the absorption in distilled water, artificial sea water, and heavy water in the visible region of the spectrum, J. Opt. Soc. Am. 53, 962 (1963). This reference contains additional values of α at wavelengths intermediate to those given above.

5.2.3 Index of Refraction

© 2003 by CRC Press LLC

378

Handbook of Optical Materials Index of Refraction n of Water (298 K)

λ (µm) 0.200 0.225 0.250 0.275 0.300 0.325 0.350 0.375 0.400 0.425 0.450 0.475 0.500 0.525 0.550 0.575 0.600 0.625 0.650 0.675 0.700 0.725 0.750 0.775 0.800 0.825 0.850 0.875 0.900 0.925 0.950 0.975 1.00 1.20 1.40 1.60 1.80 2.00 2.20 2.40 2.60 2.65

n(λ) 1.396 1.373 1.362 1.354 1.349 1.346 1.343 1.341 1.339 1.338 1.337 1.336 1.335 1.334 1.333 1.333 1.332 1.332 1.331 1.331 1.331 1.330 1.330 1.330 1.329 1.329 1.329 1.328 1.328 1.328 1.327 1.327 1.327 1.324 1.321 1.317 1.312 1.306 1.296 1.279 1.242 1.219

λ (µm) 2.70 2.75 2.80 2.85 2.90 2.95 3.00 3.05 3.10 3.15 3.20 3.25 3.30 3.35 3.40 3.45 3.50 3.6 3.7 3.8 3.9 4.0 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 5.0 5.1 5.2 5.3 5.4 5.5 5.6 5.7 5.8 5.9 6.0

n(λ) 1.188 1.157 1.142 1.149 1.201 1.292 1.371 1.426 1.467 1.483 1.478 1.467 1.1450 1.432 1.420 1.410 1.400 1.385 1.374 1.364 1.357 1.351 1.346 1.342 1.338 1.334 1.332 1.330 1.330 1.330 1.328 1.325 1.322 1.317 1.312 1.305 1.298 1.289 1.277 1.262 1.248 1.265

λ (µm) 6.0 6.1 6.2 6.3 6.4 6.5 6.6 6.7 6.8 6.9 7.0 7.1 7.2 7.3 7.4 7.5 7.6 7.7 7.8 7.9 8.0 8.2 8.4 8.6 8.8 9.0 9.2 9.4 9.6 9.8 10.0 10.5 11.0 11.5 12.0 12.5 13.0 13.5 14.0 14.5 15.0 15.5

n(λ) 1.265 1.319 1.363 1.357 1.347 1.339 1.334 1.329 1.324 1.321 1.371 1.314 1.312 1.309 1.307 1.304 1.302 1.299 1.297 1.294 1.291 1.286 1.281 1.275 1.269 1.262 1.255 1.247 1.239 1.229 1.218 1.185 1.153 1.126 1.111 1.123 1.146 1.177 1.210 1.241 1.270 1.197

Index of Refraction n of Water (298 K)—continued λ (µm)

© 2003 by CRC Press LLC

n(λ)

λ (µm)

n(λ)

λ (µm)

n(λ)

Section 5: Liquids

15.5 16.0 16.5 17.0 17.5 18.0 18.5 19.0 19.5 20.0 21.0 22 23 24 25

1.197 1.325 1.351 1.376 1.401 1.423 1.443 1.461 1.476 1.480 1.487 1.500 1.511 1.521 1.531

26 27 28 29 30 32 34 36 38 40 42 44 46 48 50

1.539 1.545 1.549 1.551 1.551 1.546 1.536 1.527 1.522 1.519 1.522 1.530 1.541 1.555 10587

60 70 80 90 100 110 120 130 140 150 160 170 180 190 200

379

1.703 1.821 1.886 1.924 1.957 1.966 2.004 2.036 2.056 2.069 2.081 2.094 2.107 2.119 2.130

Reference: Hale, G M. and Querry, M. R., Optical constants of water in the 200-nm to 200-µm wavelength region, Appl. Opt. 12, 555 (1973).

Index of refraction n of water (300 K) λ (nm) 214.44 303.4 360 404.66 408 435.84 449 486.13 508.6 546.07 556 587.56 589.3 632.8 656.28 670.8 690

© 2003 by CRC Press LLC

n

Ref.

1.4032 1.3581 1.353 1.342742 1.344 1.340210 1.337 1.337123 1.3360 1.334466 1.333 1.333041 1.332988 1.331745 1.331151 1.3308 1.332

1 1 3 2 3 2 3 2 1 2 3 2 2 2 2 1 3

λ (nm) 746 752 758 769 781 794 806 813 820 833 847 862 877 893 909 926 935

n 1.332 1.332 1.332 1.331 1.331 1.331 1.331 1.331 1.330 1.330 1.330 1.330 1.330 1.329 1.329 1.329 1.329

Ref. 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3

380

Handbook of Optical Materials Index of Refraction n of Water (300 K)—continued

λ (nm) 990 1000 1010 1020 1031 1042 1053 1070 1087 1099 1111 1124 1136 1149 1163 1176 1190 1205 1220 1235 1250 1266 1282 1299 1316 1333 1351 1370 1389 1408 1429 1443

n 1.328 1.328 1.328 1.328 1.328 1.328 1.328 1.328 1.327 1.327 1.327 1.327 1.326 1.326 1.326 1.326 1.325 1.325 1.325 1.325 1.324 1.324 1.324 1.324 1.324 1.323 1.323 1.323 1.322 1.322 1.321 1.321

Ref. 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3

λ (nm) 1471 1493 1515 1538 1563 1587 1613 1639 1667 1695 1724 1754 1786 1802 1818 1852 1887 1927 1961 2000 2041 2083 2128 2198 2273 2326 2381 2439 2500 2564 2632

n 1.321 1.320 1.320 1.319 1.319 1.318 1.318 1.317 1.316 1.315 1.314 1.314 1.313 1.312 1.312 1.311 1.310 1.309 1.307 1.306 1.305 1.303 1.301 1.296 1.291 1.285 1.281 1.276 1.268 1.257 1.239

Ref. 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3

References: 1. Kaye, G. W. and Laby, T. H., Tables of Physical and Chemical Constants (Longmans, Green & Co., London, 1959). 2. James, A. M. and Lord, M. P., Macmillan's Chemical and Physical Data (Macmillan, London, 1992). 3. Palmer, K. F. and Williams, D., J. Opt. Soc. Am. 64, 1107 (1974).

© 2003 by CRC Press LLC

Section 5: Liquids

381

Index of Refraction of Water at Different Temperatures and Wavelengths Wavelength (nm) T (ºC) 0 10 20 30 40 50 60 70 80 90 100

226.50

361.05

404.41

589.00

632.80

1.39450 1.39422 1.39336 1.39208 1.39046 1.38854 1.38636 l.38395 1.38132 1.37849 1.37547

1.34896 1.34870 1.34795 1.34682 1.34540 1.34373 1.34184 1.33974 1.33746 1.33501 1.33239

1.34415 1.34389 1.34315 1.34205 1.34065 1.33901 1.33714 1.33508 1.33284 1.33042 1.32784

1.33432 1.33408 1.33336 1.33230 1.33095 1.32937 1.32757 1.32559 1.32342 1.32109 1.31861

1.33306 1.33282 1.33211 1.33105 1.32972 1.32814 1.32636 1.32438 1.32223 1.31991 1.31744

1013.98 1.32612 1.32591 1.32524 1.32424 1.32296 1.32145 1.31974 1.31784 1.31576 1.31353 1.31114

Reference: From Schiebener, P., Straub, J. Levelt Sengers, J. M. H., and Gallagher, J. S., J. Phys. Chem. Ref. Data 19, 677 (1990) and the CRC Handbook of Chemistry and Physics, 75th edition, Lide, D. R., Ed. (CRC Press, Boca Raton, FL, 1994).

Temperature Derivative of the Index of Refraction n of Water λ (nm) 226.50 361.05 404.41 404.66 435.84 486.13 546.07 587.56

dn/dT × 106 (K–1) –128 (293–303 K) –113 (293–303 K) –110 (293–303 K) –101 (293–298 K) –100 (293–303 K) –99 (293–298 K) –98 (293–298 K) –100 (298 K) –97 (293–298 K)

Ref. 1 1 1 2 1 2 2 3 2

λ (nm) 589.3 632.8

656.28 706.52 1013.98

dn/dT × 106 (K–1) –80 (293 K) –97 (293–298 K) –96 (293–298 K) –98.5 (298 K) –106 (293–303 K) –96 (293–298 K) –95 (293–298 K) –100 (293–303 K)

Ref. 4 2 2 3 1 2 2 1

References: 1. Schiebener, P., Straub, J., Levelt Sengers, J. M. H., and Gallagher, J. S., J. Phys. Chem. Ref. Data 19, 677 (1990). 2. Kaye, G. W. and Laby, T. H., Tables of Physical and Chemical Constants (Longman Group, London, 1986). 3. Hauf, W. and Grigull, U., Optical Methods in Heat Transfer (Academic Press, New York, 1970). 4. Kaye, G. W. and Laby, T. H., Tables of Physical and Chemical Constants (Longmans, Green & Co., London, 1959).

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Handbook of Optical Materials

5.3 Physical Properties of Selected Liquids Data in the following tables are in large part from the CRC Handbook of Chemistry and Physics, 82nd edition, Lide, D. R., Ed. (CRC Press, Boca Raton, FL). Physical and chemical property data for many additional organic and inorganic liquids are given in this reference.

Liquid acetic acid, C2H4O2 acetone, C3H6O benzene, C6H6 bromobenzene, C6H5Br carbon disulfide, CS2 carbon tetrachloride, CCl4 chloroform, CHCl3 cyclohexane, C6H12 1,2–dichloroethane, C2H4Cl2 dichloromethane, CH2Cl2 dimethylsulfoxide, C2H6OS 1,4–dioxane, C4H8O2 ethanol, C2H6O ethylene glycol, C2H6O2 glycerine (glycerol), C3H8O3 heptane, C7H16 hexadecane, C16H34 hexane, C6H14 methanol, CH4O methylcyclohexane, C7H14 1–methylnaphthalene, C11H10 nitrobenzene, C6H5NO2 toluene, C7H8 2,2,4–trimethylpentane, C8H18 water, H2O heavy water, D2O

Molecular weight

Density (g/cm3)

60.05 58.08 78.11 157.01 76.14 153.82 119.38 84.16 98.96 84.93 78.14 88.11 46.07 76.10 92.10 100.20 226.45 86.18 32.04 98.19 142.20 123.11 92.14 114.23 18.01528 20.02748

1.0492 0.7856 0.8765 1.4950 1.2556 1.5833 1.4800 0.7731 1.2457 1.3266 1.0955 1.0286 0.7873 0.9598 1.2567 0.6837 0.7733 0.6563 0.7872 0.7694 1.0202 1.1985 0.8647 0.6877 0.99705 1.1044

Dielectric constant ε 6.20 21.01 2.2825 5.45 2.6320 2.2379 4.8069 2.0243 10.10 8.93 47.24 2.2189 25.3 41.4 46.53 1.9209 2.0460 1.8865 33.0 2.024 2.915 35.6 2.379 1.943 80.100 79.754

Electric dipole moment (D) 1.74 2.88 0 — 0 0 1.01 0 — 1.6 3.96 — 1.69 2.28 — ≈0 — — 1.70 ≈0 — — — — — —

Density at 298 K. 1 D = 3.33564 × 10–30 C m

Dielectric Strength of Liquids* Liquid

Dielectric strength (kV/mm)

Ref.

carbon tetrachloride, CCl4

5.5

1

chlorobenzenze, C6H5Cl

7.1

1

helium, He, liquid, 4.2 K

10

2

carbon tetrachloride, CCl4

16.0

3

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Section 5: Liquids

383

Dielectric Strength of Liquids*—continued Dielectric strength (kV/mm)

Liquid chlorobenzenze, C6H5Cl

Ref.

18.8

3

20

4

nitrogen, N2, liquid, 77 K: coaxial cylinder electrodes sphere to plane electrodes cyclohexane, C6H12

60

4

42–48

5

hexane, C6H14

42.0

5

water, H2O

65–70

6

2,2,4–trimethylpentane, C8H18

140

7,8

benzene, C6H6

163

7,8

heptane, C7H16

166

7,8

toluene, C6H5C H3:

199

7,8

46

5

20.4 12.0

3 1

* The dielectric strength (or breakdown voltage) of a material depends on the specimen thickness, the electrode shape, and the rate of the applied voltage increase.

References: 1. Nitta, Y. and Ayhara, Y., IEEE Trans. EI–1, 91 (1976). 2. Okubo, H. Wakita, M., Chigusa, S., Nayakawa, N., and Hikita, M., IEEE Trans. DEI–4, 120 (1997). 3. Gallagher, T. J., IEEE Trans. EI–12, 249 (1977). 4. Hayakawa, H., Sakakibara, H., Goshina, H., Hikita, M., and Okubo, H., IEEE Trans. DEI–4, 127 (1997). 5. Wong, P. P. and Forster, E. O., Dielectric Materials. Measurements and Applications, IEE Conf. Publ. 177, 1 (1979). 6. Jomes, H. M. and Kunhards, E. E., IEEE Trans. DEI–1, 1016 (1994). 7. Kao, K. C., IEEE Trans. EI–11, 121 (1976). 8. Sharbaugh, A. H., rowe, R. W., and Cox, C. B., J. Appl. Phys. 27, 806 (1956).

Physical Properties

Liquid acetic acid, C2H4O2 acetone, C3H6O benzene, C6H6 bromobenzene, C6H5Br carbon disulfide, CS2 carbon tetrachloride, CCl4 chloroform, CHCl3 cyclohexane, C6H12 1,2–dichloroethane, C2H4Cl2

© 2003 by CRC Press LLC

Melting point (ºC)

Boiling point (ºC)

16.6 –94.8 5.53

117.9 56.05 80.09

–30.6 –111.5 –23 –63.6 6.6 –35.5

156 46 76.8 61.17 80.73 83.5

Specific heat capacity (J/g K) 2.05 2.17 1.74 — 1.00 0.85 0.96 1.84 1.30

Volume thermal expan. coeff. Βt (103 K–1)

1.1 1.43 1.23 — 1.19 1.22 1.28 1.1a 1.16a

384

Handbook of Optical Materials Physical Properties—continued

Liquid dichloromethane, CH2Cl2 dimethylsulfoxide, C2H6OS 1,4–dioxane, C4H8O2 ethanol, C2H6O ethylene glycol, C2H6O2 glycerine (glycerol), C3H8O3 heptane, C7H16 hexadecane, C16H34 hexane, C6H14 methanol, CH4O methylcyclohexane, C7H14 1–methylnaphthalene, C11H10 nitrobenzene, C6H5NO2 toluene, C7H8 2,2,4–trimethylpentane, C8H18 water, H2O heavy water, D2O

Melting point (ºC)

Boiling point (ºC)

–95.1 — 11.8 –114.1 –13 18.2

1.19 1.96 4.9 2.44 2.39 2.38 2.24 — 2.26 2.53 1.88 — 1.51 1.71 —

40 — 101.5 78.29

–90.6 18.1 –95.3 –97.68

98.5 286.8 68.73 64.6

–126.6 –30.4 5.7 –94.99

100.9 244.7 210.8 110.63

–107.3

99.2

0.00 3.82

Specific heat capacity (J/g K)

100.00 101.42

Volume thermal expan. coeff. βt (103 K–1)

— — 1.03a 1.10 0.566 0.53 — — 1.35 1.19 — — 0.83 1.06 —

4.1818 —

0.256 —

Specific heat capacity and volume thermal expansion coefficients measured at 298 K except for measured at 293 K.

a

5.3.1 Thermal conductivity Thermal conductivity values correspond to a nominal pressure of 1 atmosphere. The values for water, benzene, and toluene are particularly well determined and can be used for calibration purposes. Thermal conductivity (W/m K) Liquid

–25ºC

acetic acid, C2H4O2 acetone, C3H6O benzene, C6H6 carbon disulfide, CS2 carbon tetrachloride, CCl4 chlorobenzene, C6H5Cl chloroform, CHCl3 cyclohexane, C6H12 dibromomethane, CH2Br2 1,4–dioxane, C4H8O2 ethanol, C2H6O ethylene glycol, C2H6O2

© 2003 by CRC Press LLC

0ºC

25ºC

50ºC

75ºC

100ºC

0.153

0.149

0.1329

0.1247

0.136

0.154 0.104 0.131

0.158 0.161 0.1411 0.149 0.099 0.127

0.093 0.122

0.088 0.117

0.112

0.127 0.137 0.120

0.122 0.129 0.114

0.117 0.121 0.108

0.112 0.113 0.103

0.107

0.102

0.147 0.162 0.256

0.135

0.123

0.176 0.256

0.159 0.169 0.256

0.256

0.256

0.169

0.144

0.097

Section 5: Liquids

385

Thermal conductivity (W/m K)—continued Liquid

–25ºC

0ºC

glycerine (glycerol), C3H8O3

25ºC

50ºC

75ºC

0.292

0.295

0.1077

heavy water, D2O

0.297

100ºC 0.300

heptane, C7H16

0.1378

0.1303

0.1228

0.618 0.1152

0.636

hexadecane, C16H34 hexane, C6H14 methanol, CH4O nitrobenzene, C6H5NO2 toluene, C7H8 water, H2O

0.144

0.140

0.136

0.133

0.129

0.125

0.137 0.214

0.128 0.207

0.120 0.200

0.111 0.193

0.102

0.093

0.1461

0.1386 0.5610

0.1311 0.6071

0.1236 0.6435

0.1161 0.6668

0.6791

From the table in CRC Handbook of Chemistry and Physics, 75th edition, Lide, D. R., Ed. (CRC Press, Boca Raton, FL, 1994), p. 6–249. Thermal conductivity data for additional organic and inorganic liquids are given in this reference.

5.3.2 Viscosity Viscosity (mPa s) Liquid acetic acid, C2H4O2 acetone, C3H6O benzene, C6H6 bromobenzene, C6H5Br carbon disulfide, CS2 carbon tetrachloride, CCl4 chloroform, CHCl3 cyclohexane, C6H12 1,2–dichloroethane, C2H4Cl2 dichloromethane, CH2Cl2 dimethylsulfoxide, C2H6OS 1,4–dioxane, C4H8O2 ethanol, C2H6O ethylene glycol, C2H6O2 glycerine (glycerol), C3H8O3

–25ºC

0.540

0.988

0.727

0ºC

25ºC

50ºC

75ºC

1.056 0.306 0.436 10.74

0.786 0.247 0.335 0.798

0.599

0.464

0.395 0.604

0.627

0.512

0.352 0.908 0.537 0.894 0.464 0.413

0.656 0.427 0.615 0.362 1.290 0.787 0.694 6.554 152 0.301

0.569 0.476 3.340 39.8 0.243

2.487

1.609

1.132

0.429 1.0321 0.706

0.533

100ºC

0.494 0.447

0.757

0.523

1.987 1.177 1.074 16.1 934 0.378

methylcyclohexane, C7H14

0.300 0.544 0.679

0.240

1.258

0.405 0.793 0.991

0.501

0.390

0.316

nitrobenzene, C6H5NO2 toluene, C7H8 water, H2O

1.165

3.036 0.778 1.793

1.863 0.560 0.890

1.262 0.424 0.547

0.918 0.333 0.378

0.704 0.270 0.282

heptane, C7H16 hexadecane, C16H34 hexane, C6H14 methanol, CH4O

3.262

1.786

Viscosity values correspond to a nominal pressure of 1 atmosphere.

© 2003 by CRC Press LLC

1.975 14.8

386

Handbook of Optical Materials

5.3.3 Surface Tension Surface tension σ (mN/m) Liquid

10ºC

25ºC

50ºC

75ºC

27.10 23.46 28.22 35.24

24.61 20.66 25.00 32.34

22.13

31.58 26.43 26.67 24.65 31.86 27.20

27.87 23.37 23.44 21.68 28.29

42.92 32.75 21.97 47.99 19.65

40.06 29.28 19.89 45.76 17.20

25.80

22.32

43.54 14.75

41.31

27.05

24.91

22.78

20.64

19.42 23.23 24.989

17.89 22.07 23.29

15.33 20.14 20.46

29.71 74.23

27.93 71.99

40.56 24.96 67.94

37.66 21.98 63.57

34.77 19.01 58.91

acetic acid, C2H4O2 acetone, C3H6O benzene, C6H6 36.98

bromobenzene, C6H5Br carbon disulfide, CS2 carbon tetrachloride, CCl4 chloroform, CHCl3 cyclohexane, C6H12 1,2–dichloroethane, C2H4Cl2

33.81

26.43

dichloromethane, CH2Cl2 dimethylsulfoxide, C2H6OS 1,4–dioxane, C4H8O2 ethanol, C2H6O ethylene glycol, C2H6O2

23.22 21.12

heptane, C7H16 hexadecane, C16H34 hexane, C6H14 methanol, CH4O methylcyclohexane, C7H14 nitrobenzene, C6H5NO2 toluene, C7H8 water, H2O

21.77 29.44 20.31 20.20

100ºC

26.54 17.25

24.72

5.3.4 Absorption Ultraviolet Absorption of Pure Liquids: The following tables present data on the UV absorption edge of several common liquids. The data were obtained using a 1.00–cm pathlength cell and a water reference. From Bruno, T. J. and Svoronos, P. D. N., CRC Handbook of Basic Tables for Chemical Analysis (CRC Press, Boca Raton, FL, 1989), p. 213. Acetone Wavelength (nm) 330 340 350 375 400

© 2003 by CRC Press LLC

Benzene Maximum absorbance 1.000 0.060 0.010 0.005 0.005

Wavelength (nm) 278 300 325 350 400

Maximum absorbance 1.000 0.020 0.010 0.005 0.005

Section 5: Liquids Carbon tetrachloride Wavelength Maximum (nm) absorbance 263 275 300 350 400

1.000 0.100 0.005 0.005 0.005

Cyclohexane Wavelength Maximum (nm) absorbance 200 225 250 300 400

1.000 0.170 0.020 0.005 0.005

1,4–Dioxane Wavelength Maximum (nm) absorbance 215 250 300 350 400

1.000 0.300 0.020 0.005 0.005 Hexane

Wavelength (nm)

Maximum absorbance

195 225 250 275 300

1.000 0.050 0.010 0.005 0.005

Chloroform Wavelength Maximum (nm) absorbance 245 250 275 300 400

Dimethyl sulfoxide Wavelength Maximum (nm) absorbance 268 275 300 350 400

284 300 325 350 400

© 2003 by CRC Press LLC

1.000 0.500 0.200 0.020 0.005

Hexadecane Wavelength Maximum (nm) absorbance 190 200 250 300 400

1.000 0.500 0.020 0.005 0.005

Methanol Wavelength Maximum (nm) absorbance 205 225 250 300 400

Toluene Wavelength (nm)

1.000 0.300 0.005 0.005 0.005

1.000 0.160 0.020 0.005 0.005 Water

Maximum absorbance 1.000 0.120 0.020 0.005 0.005

Wavelength (nm) 190 200 250 300 400

Maximum absorbance 0.010 0.010 0.005 0.005 0.005

387

388

Handbook of Optical Materials Transmission Limits* Liquid

acetone, C3H6O benzene, C6H6 carbon tetrachloride, CCl4 chloroform, CHCl3 cyclohexane, C6H12 n–decane, C10H22 p–dioxane, C4H8O2 ethanol, C2H6O

Limit (nm)

200 270 2250 220 211 173 203 189

Liquid heptane, C7H16 n–hexane, C6H14 methanol, CH4O methylcyclohexane, C7H14 1–octene, C6H16 n–pentane, C5H12 toluene, C7H8 water, H2O

Limit (nm)

196 202 183 206 210 205 274 178

* Transmission limits are the wavelengths of the last visible blackening on a spectrogram for reasonable exposure and development time. From Klevens, H. B. and Platt, J. R., Ultraviolet transmission limits of some liquids and solids, J. Am. Chem. Soc. 69, 3055 (1947).

Spectral transmission ranges of several fluids used for liquid filters. The end points are for 50% transmission through 1 mm of the liquid [from Cook, L. M. and Stokowski, S. E., Filter materials, in Handbook of Laser Science and Technology, Volume IV: Optical Materials, Part 2 (CRC Press, Boca Raton, 1995), p. 151]. For other organic and inorganic filter solutions, see Pellicori, S. F., Transmittances of some optical materials for use between 1900 and 3400 Α, Appl. Opt. 3, 361 (1964); Bass, A. M., Short wavelength cut–off filters for the ultraviolet, J. Opt. Soc. Am. 38, 977 (1948); Ingersoll, K. A., Liquid filters for the visible and near infrared, Appl. Opt. 10, 2473 (1971); Ingersoll, K. A., Liquid filters for the ultraviolet, visible, and near infrared, Appl. Opt. 11, 2781 (1972).

© 2003 by CRC Press LLC

Section 5: Liquids

5.4 Index of Refraction 5.4.1 Organic Liquids Index of Refraction of Selected Liquids (293 K)

nD

Liquid

nD

Liquid

methanol, CH4O

1.3288

ethylene glycol, C2H6O2

1.4318

acetone, C3H6O

1.3588

hexadecane, C16H34

1.4345

ethanol, C2H6O

1.3611

1,2–dichloroethane, C2H4Cl2

1.4448

acetic acid, C2H4O2

1.3720

chloroform, CHCl3

1.4459

hexane, C6H14

1.3749

carbon tetrachloride, CCl4

1.4601

heptane, C7H16

1.3878

glycerine (glycerol), C3H8O3

1.4746

2,2,4–trimethylpentane, C8H18

1.3915

toluene, C7H8

1.4961

dimethylsulfoxide, C2H6OS

1.4170

benzene, C6H6

1.5011

1,4–dioxane, C4H8O2

1.4224

nitrobenzene, C6H5NO2

1.5562

methylcyclohexane, C7H14

1.4231

bromobenzene, C6H5Br

1.5597

dichloromethane, CH2Cl2

1.4242

1–methylnaphthalene, C11H10

1.6170

cyclohexane, C6H12

1.4266

carbon disulfide, CS2

1.6319

Measured at a wavelength of 589 nm (sodium D line). 2.3

2.2

Chalcogenide glasses 2.1

2.0

Refractive index nd

1.9

TaSF LaSF

1.8

LaSK TaF

Optical Glasses

LaF

SF

NbF

SFS

LaK

1.7

BaSF BaF

SSK

SK

1.6

BaLF BaK

FZ

1.5 FP 1.4

PK

BK

KF

K

FK

carbon disulfide

F

KzFS

PSK

TiSF

LF LLF TiF

benzene toulene

glycerine

carbon tetrachloride

Fluoride glasses

acetone methanol

ethanol

water

1.3

Areas populated by commercial optical liquids

1.2

100

80

60

40

20

Abbe number νd

Comparison of selected liquids and optical glasses in an index of refraction Abbe number plot.

© 2003 by CRC Press LLC

389

390

Handbook of Optical Materials Index of Refraction n of Selected Liquids Acetic acid1

λ (nm)

n (296.05 K)

434.05 486.13 589.3 656.28

1.38003 1.37610 1.37152 1.36944

Benzene1

Acetone1 λ (nm)

n (292.55 K)

λ (nm)

434.05 486.13 589.3 656.28

1.36750 1.36366 1.35886 1.35672

434.05 486.13 589.3 656.28

Carbon disulfide1

λ (nm)

n (293.15 K)

λ (nm)

276.3 298.1 313.3 361.0 434.05 486.13 508.6 589.3 656.28 0.8 1.0 1.5 1.85

1.625 1.598 1.582 1.548 1.52361 1.51327 1.509 1.50144 1.49663 1.489 1.485 1.480 1.478

361.0 394.4 434.05 441.6 479.99 486.13 508.6 533.8 589.3 656.28

Chloroform1 λ (nm)

n (293.15 K)

n (291.15 K) 1.740 1.704 1.67665 1.673 1.656 1.6539 1.647 1.640 1.6295 1.62011

λ (nm)

n (293.15 K)

1.5051 1.4911 1.4806

265.5 289.4 313.1

1.4741 1.4631 1.4549

486.13 589.3 656.28

1.45024 1.44432 1.44189

486.13 589.3 656.28

1.36662 1.36242 1.36062

1,2-Dichloroethane2

Ethanol1

λ (nm)

n (293.15 K)

λ (nm)

n (291.5 K)

434.05 486.13 589.3 656.28

1.45528 1.45024 1.44432 1.44189

434.05 486.13 589.3 656.28

1.37011 1.36662 1.36242 1.36062

n (285.45 K) 1.4835 1.4726 1.4656 1.4599

Toluene2 λ (nm) 404.66 434.05 435.84 479.99 486.13 546.07 589.3 632.8 656.28 706.52

Cyclohexane1

265.5 289.4 313.1

© 2003 by CRC Press LLC

Carbon tetrachloride1

n (293.15 K) 1.526120 1.51970 1.517830 1.509285 1.508315 1.500715 1.49693 1.493680 1.49365 1.489795

1,4–Dioxane2 λ (nm) 265.5 289.4 313.1 546.07 589.3

n (293.15 K) 1.4699 1.4583 1.4500 1.4330 1.4311

Ethylene glycol2 λ (nm) 435.83 546.07 589.3

n (293.15 K) 1.4400 1.4330 1.4311

Section 5: Liquids

391

Index of Refraction n of Selected Liquids—continued Glycerine1 λ (nm)

Hexane1

n (293.15 K)

434.05 486.13 589.3 656.28

1.4839 1.4795 1.4740 1.4717

Methanol1

λ (nm)

n (293.15 K)

λ (nm)

n (287.65 K)

434.05 486.13 589.3 656.28

1.38365 1.37988 1.37536 1.37337

434.05 486.13 589.3 656.28

1.33801 1.33490 1.33118 1.32948

Nitrobenzene1 λ (nm)

n (293.15 K)

486.13 589.3 656.28

1.57124 1.55291 1.54593

References: 1. 2.

International Critical Tables of Numerical Data, Physics and Chemistry and Technology, Vol. VII, Washburn, E. W., Ed. (McGraw–Hill, New York, 1930). James, A. M. and Lord, M. P., Macmillan's Chemical and Physical Data (Macmillan, London, 1992).

Temperature Derivative of the Index of Refraction Methanol λ (nm)

dn/dT ×

434.05 486.13 546.07 600 632.8 656.28

–3.90 (T = 288 K) –4.00 (T = 288 K) –4.05 (T = 298 K) –4.68 (T = 278–298 K) –4.00 (T = 288 K) –4.00 (T = 298 K)

λ (nm)

dn/dT × 104 (K–1)

486.13 600 656.28

–2.70 (T = 288 K) –3.06 (T = 278–298 K) –2.60 (T = 288 K)

104

(K–1)

Ethanol λ (nm)

dn/dT × 104 (K–1)

546.07 600 632.8

–4.05 (T = 298 K) –4.38 (T = 278–298 K) –4.00 (T = 298 K)

Ref.

λ (nm)

dn/dT × 104 (K–1)

Ref.

1 3 1

486.13

–2.30 (T = 288 K)

1

656.28

–2.20 (T = 288 K)

1

Ref. 1 1 2 3 2 1

Ethylene glycol

© 2003 by CRC Press LLC

Ref.

2 3 2

Glycerine

392

Handbook of Optical Materials Temperature Derivative of the Index of Refraction—continued Hexane

Cyclohexane

λ (nm)

dn/dT ×

(K–1)

Ref.

λ (nm)

dn/dT × 104 (K–1)

Ref.

434.05 486.13 546.07

–5.60 (T = 298 K) –5.50 (T = 298 K) –5.43 (T = 298 K)

1 1 2

632.8 656.28

–5.40 (T = 298 K) –5.30 (T = 298 K)

2 1

434.05 486.13 546.07 589.3 632.8 656.28

–5.60 (T = 298 K) –5.50 (T = 298 K) –5.46 (T = 298 K) –5.40 (T = 298 K) –5.43 (T = 298 K) –5.40 (T = 298 K)

1 1 2 3 2 1

104

Benzene

Carbon tetrachloride

λ (nm)

dn/dT ×

(K–1)

Ref.

λ (nm)

dn/dT × 104 (K–1)

Ref.

434.05 486.13 546.07 589.3 632.8 656.28

–6.70 (T = 293 K) –6.60 (T = 293 K) –6.42 (T = 298 K) –6.50 (T = 293 K) –6.40 (T = 298 K) –6.40 (T = 293 K)

4 4 2 4 2 4

434.05 486.13 546.07 589.3 632.8 656.28

–5.60 (T = 288 K) –5.60 (T = 288 K) –5.99 (T = 298 K) –5.50 (T = 288 K) –5.98 (T = 298 K) –5.40 (T = 288 K)

1 1 2 1 2 1

104

Carbon disulfide

Toluene

λ (nm)

dn/dT ×

(K–1)

Ref.

λ (nm)

dn/dT × 104 (K–1)

Ref.

267.7 274.9 361.0 394.4 434.1 441.6 467.8 479.99 508.6 533.8 546.07 589.3 632.8 656.28

–17.50 (T = 291 K) –15.00 (T = 291 K) –9.60 (T = 291 K) –9.00 (T = 291 K) –8.70 (T = 291 K) –8.60 (T = 291 K) –8.40 (T = 291 K) –8.30 (T = 291 K) –8.20 (T = 291 K) –8.10 (T = 291 K) –7.96 (T = 298 K) –8.00 (T = 291 K) –7.96 (T = 298 K) –7.80 (T = 291 K)

4 4 4 4 4 4 4 4 4 4 2 4 2 4

404.66 435.84 479.99 486.13 546.07 587.56 589.00 589.59 632.8

–5.97 (T = 293 K) –5.88 (T = 293 K) –5.77 (T = 293 K) –5.76 (T = 293 K) –5.65 (T = 293 K) –5.60 (T = 293 K) –5.60 (T = 293 K) –5.60 (T = 293 K) –5.56 (T = 293 K) –5.55 (T = 298 K) –5.55 (T = 293 K) –5.54 (T = 293 K) –5.51 (T = 293 K)

5 5 5 5 5 5 5 5 5 2 5 5 5

104

643.85 656.28 706.52

Acetic acid

Chloroform

λ (nm)

dn/dT ×

(K–1)

Ref.

λ (nm)

dn/dT × 104 (K–1)

Ref.

486.13

–3.80 (T = 288 K)

1

656.28

–3.70 (T = 288 K)

1

546.07 632.8 656.28

–5.98 (T = 298 K) –5.98 (T = 298 K) –5.30 (T = 298 K)

2 2 1

© 2003 by CRC Press LLC

104

Section 5: Liquids Acetone

393

Nitrobenzene

λ (nm)

dn/dT ×

(K–1)

Ref.

λ (nm)

dn/dT × 104 (K–1)

Ref.

486.13 546.07 589.3 632.8 656.28

–5.00 (T = 288 K) –5.31 (T = 298 K) –5.00 (T = 288 K) –5.31 (T = 298 K) –4.90 (T = 288 K)

1 2 1 2 1

486.13 546.07

–4.80 (T = 288 K) –4.68 (T = 298 K)

1 2

632.8 656.28

–4.68 (T = 298 K) –4.60 (T = 288 K)

2 1

104

References: 1. Timmermans, J., Physico-Chemical Constants of Pure Organic Compounds (Elsevier, New York, 1950). 2. Hauf, W. and Grigull, U., Optical Methods in Heat Transfer (Academic Press, New York, 1970). 3. Lusty, M. E. and Dunn, M. H., Appl. Phys. B 44, 193 (1987). 4. International Critical Tables of Numerical Data, Physics and Chemistry and Technology, Vol. VII, Washburn, E. W., Ed., (McGraw-Hill, New York, 1930). 5. Kaye, G. W. and Laby, T. H., Tables of Physical and Chemical Constants (Longman Group, London, 1986).

5.4.2 Inorganic Liquids Name

Formula

Temperature (ºC) –77

nD (589 nm)

ammonium

NH3

antimony pentachloride

SbCl5

argon

Ar

arsenic trichloride

AsCl3

16

1.604

bromine tribromide

BrF3

16

1.312

carbon disulfide

CS2

20

1.62774

germanium tetrabromide

GeBr4

26

1.6269

germanium tetrachloride

GeCl4

25

1.4614

helium

He

hydrogen peroxide

H2 O2

22 –188

–269 28 –183

1.3944 (578 nm) 1.5925 1.2312

1.02451 (546 nm) 1.4061 1.2243 (578 nm)

oxygen

O2

phosphorus tribromide

PBr3

25

1.687

phosphorus trichloride

PCl3

21

1.5122

sulfur dichloride

SCl2

14

1.557

sulfur trioxide

SO3

20

1.40965

tetrabromosilane

SiBr4

31

1.5685

tetrachlorosilane

SiCl4

25

1.41156

tin tetrabromide

SnBr4

31

1.6628

25

1.5086

tin tetrachloride

SnCl4

xenon

Xe

–112

1.3918 (578 nm)

Reference: Wohlfarth, C. and Wohlfarth, B., Landolt-Börnstein, Numerical Data and Functional Relationships in Science and Technology, New Series, III/38A, Martienssen, W., Ed. (Springer-Verlag, Heidelberg, 1996). The index of refraction at other temperatures and wavelengths may be found in this reference.

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5.4.3 Calibration Liquids The six liquids below are available in highly pure form and their index of refraction has been accurately measured as a function of wavelength and temperature. They are therefore useful for calibration of refractometers. The estimated uncertainties in the values are: 2,2,4-Trimethylpentane Hexadecane trans-Bicyclo[4.0.0]decane 1-Methylnaphthalene Toluene Methylcyclohexane

±0.00003 ±0.00008 ±0.00008 ±0.00008 ±0.00003 ±0.00003

Further details are given in the references below. This table is reprinted from Reference 1 by permission of the Intemational Union of Pure and Applied Chemistry. References: 1. Marsh, K. N., Ed., Recommended Reference Materials for the Realization of Physicochemical Properties (Blackwell Scientific Publications, Oxford, 1987). 2. Tilton, L. W., J. Opt. Soc. Am. 32, 71 (1941).

λ (nm) 667.81 656.28 589.26 546.07 501.57 486.13 435.83

λ (nm)

2,2,4-Trimethylpentane 20°C 25°C 30°C 1.38916 1.38945 1.39145 1.39316 1.39544 1.39639 1.40029

1.38670 1.38698 1.38898 1.39068 1.39294 1.39389 1.39776

1.38424 1.38452 1.38650 1.38820 1.39044 1.39138 1.39523

trans-Bicyclo[4.0.0]decane 20°C 25°C 30°C

20°C

Hexadecane 25°C

30°C

1.43204 1.43235 1.43453 1.43640 1.43888 1.43993 1.44419

1.43001 1.43032 1.43250 1.43436 1.43684 1.43788 1.44213

1.42798 1.42829 1.43047 1.43232 1.43480 1.43583 1.44007

20°C

1-Methylnaphthalene 25°C 30°C

667.81 656.28 589.26 546.07 501.57 486.13 435.83

1.46654 1.46688 1.46932 1.47141 1.47420 1.47535 1.48011

1.46438 1.46472 1.46715 1.46923 1.47200 1.47315 1.47789

1.46222 1.46256 1.46498 1.46705 1.46980 1.47095 1.47567

1.60828 1.60940 1.61755 1.62488 1.63513 1.63958

λ (nm)

20°C

Toluene 25°C

30°C

20°C

667.81 656.28 589.26 546.07 501.57 486.13 435.83

1.49180 1.49243 1.49693 1.50086 1.50620 1.50847 1.51800

1.48903 1.48966 1.49413 1.49803 1.50334 1.50559 1.51506

1.48619 1.48682 1.49126 1.49514 1.50041 1.50265 1.51206

1.42064 1.42094 1.42312 1.42497 1.42744 1.42847 1.43269

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1.60592 1.60703 1.61512 1.62240 1.63259 1.63701 1.65627

1.60360 1.60471 1.61278 1.62005 1.63022 1.63463 1.65386

Methylcyclohexane 25°C 30°C 1.41812 1.41#42 1.42058 1.42243 1.42488 1.42590 1.43010

1.41560 1.41591 1.41806 1.41989 1.42233 1.42334 1.42752

Section 5: Liquids

395

5.4.4 Abnormal Dispersion Liquids Chromatic aberrations in complex lens systems can be corrected by combining lenses made of materials having different refractive indices and dispersions. When the partial dispersion of a material (refractive index for a pair of wavelengths) is plotted versus its Abbe number, most materials lie along a straight line, the so-called “normal” line. (Plots of relative dispersions showing the deviation of various glass types from the normal curve are included in most optical glass catalogs.) To correct for the secondary spectrum in apochromatic lens system (one corrected for three wavelengths), at least one of the materials must have an abnormal dispersion, that is, one lying off the normal line. The wavelength dependence of the refractive index of a material can be described by the Buchdahl equation N(ω) = N0 + ν1ω + ν2ω2 + . . . νjωj , where N0 is the refractive index at the wavelengths λ, ν1, ν 2 , . . . characterize the dispersion, and ω is the chromatic coordinate ω = (λ − λ0/[1 + 5/2(λ − λ0)]. The dispersive power of a material in this model is given by n

D(λ) = δN(λ) /(N0 – 1) = ∑ ηiω, i=1

where n is the order of the Buchdahl dispersion equation. The dispersion coefficients η are defined by η i = νi/(N0 – 1). Below is a plot of the primary and secondary dispersion properties of 178 Schott optical glasses and 300 Cargille optical liquids (courtesy of R. D. Sigler).

References: 1. 2.

Sigler, R. D., Apochromatic color correction using liquid lenses, Appl. Opt. 29, 2451 (1990). Petrova, M. V., Petrovskii, G. T., Tolstoi, M. N., and Volynkin, V. M., Abnormal dispersion liquids, Opt. Eng. 31, 664 (1992).

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5.5 Nonlinear Optical Properties Abbreviations for Materials Abbreviations 4-BCMUy 4ABP 123TB 124TB 1234TB 1235TB α-NPA BBPEN BEEDT bis-MSB BP4B BPDDT BRD BSQ BTMSF DCV DEANS DMF DMSM DNTA DPA DQCI DR1 ISQ MDCB MDNB Mg:OPTAP MNA MNTPM MNTPMP MOMT NFAI NPCV P(4ABP) P(DPA) PBPC PMTBQ PPV PTPC R6G RB rB

© 2003 by CRC Press LLC

Material Yellow form of poly-4-BCMU 4-Aminobiphenyl 1,2,3-Trimethyl benzene 1,2,4-Trimethyl benzene 1,2,3,4-Tetramethyl benzene 1,2,3,5-Tetramethyl benzene a-NPO (2-(1-naphthyl)-5-phenyloxazole) Bis[n-butyl, 2-phenyl-1,2-ethenedithiolato(2-)-S,S ′] nickel Bis(1,2-diethyl-1,2-ethenedithiolato(2-)-S,S’) nickel p-Bis(o-methylstyryl)benzene Benzopurpurin 4B trans-(Bis-(1-decyl-2-phenylethenedithiolato-S,S’) nickel Bacteriorhodopsin 1,3-Bis(4’-N,N-dibutylamino-2’-hydroxyphenyl)-cyclobutene-2,4-dione Bis (trimethylsilyl) ferocene 4-N,N-Diethylamino-4’-b,b-dicyanovinyl (azobenzene) 4-Diethylamino-4’-nitrostilbene Dimethylformamide 4’-Dimethylamino-N-methyl-4-stilbazolium methylsulfate 4-Nitrothenylidenyl (4’-N,N-dimethylaminoanilide) Diphenyl amine 1,3’-Diethyl 1-2,2-quinolythiacarbocyanice iodide Disperse red 1 1,3-Bis(3’,3’-dimethyl-2’-indoleninylidenyl)-cyclobutene-2,4-dione m-Dicyanobenzene m-Dinitrobenzene Magnesium octaphenyl tetraazaporphyrin 2-Methyl-4-nitroaniline Zinc meso-tetra-( p-methoxphenyl) tetrabenzporphyrin Zinc meso-tetra-( p-methylphenyl) tetrabenzporphyrin Magnesium octamethyltetrabenzporphyrin 5-Nitro(2-furanacroleindenyl (4’-N,N-dimethylaminoanilide) 4-N,N -Dibutylamino-4’-(b-cyano-b-(4’-nitrophenyl) vinyl) (azobenzene) Poly(4-amino biphenyl) with 1.5% tetrafluoroborate doping Poly(diphenyl amine) with 1.5% tetrafluoroborate doping Pb-phthalocyanine Nonconjugated derivative of a polythiophene Poly ( p-phenylene vinylene) Pt-phthalocyanine Rhodamine 6G Rhodamine B Rhodamine B

Section 5: Liquids

397

Abbreviations for Materials—continued Abbreviations Retinal retinal Retinyl acetate SiNc SiPc TBPP TCV TKCPPC TNF ZHDFT ZMTM ZMTMF ZMTP ZMTPDMAP

Material 6-s-cis and completelty trans retinal trans-Retinal, malononitrile Knoevenagel adduct 6-s-cis and completety trans retinyl 1,2Silicon naphthalocyanine Silicon phthalocyanine Tetrabenzporphyrin 4-N,N-Diethylamino-4’-tricyanovinyl (azobenzene) Tetrakis(cumylphenoxy)phthalocyanines 2,4,7-Trinitrofluorenone Zinc hexadecafluorotetrabenzporphyrin Zinc meso-tetramethyltetrabenzporphyrin Zinc meso-tetra-(m-fluorophenyl) tetrabenzporphyrin Zinc meso-tetraphenyltetrabenzporphyrin Zinc meso-tetra-( p-dimethylaminohenyl) tetrabenzporphyrin

Experimental Methods Abbreviation AFRS AI1 DFWM ID KE L MSI OKE OL PS PST SA SFL TBC TL TPDR TPIF TRI

Method anharmonic forced Rayleigh scattering attenuation vs. irradiance for a single beam degenerate four-wave mixing ionization decay DC Kerr effect luminescence or fluorescence modified Sagnac interferometry optical Kerr effect optical limiting polarization spectroscopy power for self-trapping saturated absorption self-focal length two-beam coupling thermal lensing two-photon double resonance spectroscopy two-photon induced fluorescence time-resolved interferometry

Ref. 1 2,3 4 5 6 7,8 9 10 11 12 13 14 15 14 16 17 18 19

References: 1. 2. 3.

Lequime, M., and Hermann, J. P., Reversible creation of defects by light in one dimensional conjugated polymers, Chem. Phys. 26, 431 (1977). Liu, P., Smith, W. L., Lotem, H., Bechtel, J. H., Bloembergen, N., and Adhav, R. S., Absolute two-photon absorption coefficients at 355 and 266 nm, Phys. Rev. B 17(12), 4620 (1978). Bivas, A., Levy, R., Phach, V. D., and Grun, J. B., Biexciton two-photon absorption in the nanosecond and picosecond range in copper halides, in Physics of Semiconductors 1978, Inst. Phys. Conf. Ser. No. 43 (AIP, New York, 1979).

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Handbook of Optical Materials

4.

Friberg, S. R., and Smith, P. W., Nonlinear optical glasses for ultrafast optical switches, IEEE J. Quantum Electron. QE-23, 2089 (1987). 5. McGraw, D. J., Michaekson, J., and Harris, J. M., Anharmonic forced Rayleigh scattering: A technique for study of saturated absorption in liquids, J. Chem. Phys. 86, 2536 (1987). 6. Hellwarth, R. W., and George, N., Nonlinear refractive indices of CS2 -CCl4 mixtures, Opt. Electron. 1, 213 (1969). 7. Hermann, J. P., and Ducuing, J., Absolute measurement of two-photon cross sections, Phys. Rev. A 5(6), 2557 (1972). 8. Webman, I., and Jortner, J., Energy dependence of two-photon absorption cross sections anthracene, J. Chem. Phys. 50(6), 2706 (1969). 9. Gabriel, M. C., Whitaker, Jr., N. A., Dirk, C. W., Kuzyk, M. G., and Thakur, M., Measurement of ultrafast optical nonlinearities using a modified Sagnac Interferometer, Opt. Lett. 16 (17), 1334 (1991). 10. Ho, P. P., and Alfano, R. R., Optical Kerr effect in liquids, Phys. Rev. A 20(5), 2170 (1979). 11. Winter, C. S., Oliver, S. N., and Rush, J. D., n2 measurements on various forms of ferrocene, Opt. Commun. 69, 45 (1988). 12. Marcano, O., A., Abreu, R. A., and Garcia-Golding, F., Electronic and thermal contributions to the polarization spectrum of DQCI, J. Phys. B: At. Mol. Phys. 17, 2151 (1984). 13. Wang, C. C., Nonlinear susceptibility constants and self-focusing of optical beams in liquids, Phys. Rev. 152(1), 149 (1966). 14. Tompkin, W. R., Boyd, R. W., Hall , D. W., Tick, P. A., J. Opt. Soc. Am. B 4, 1030 (1987). 15. Hongyo, M., Sasaki, T., and Yamanaka, C., Nonlinear effects of POCl3 liquid laser, Technol. Rep. Osaka Univ. 23(1121–1154), 455 (1973). 16. Twarowski, A. J., and Kliger, D. S., Multiphoton absorption spectra using thermal blooming, Chem. Phys. 20, 259 (1977). 17. Chen, C. H., and McCann, M. P., Measurements of two-photon absorption cross sections for liquid benzene and methyl benzenes, J. Chem. Phys. 88 (8), 4671 (1988). 18. Rice, J. K., and Anderson, R. W., Two-photon, thermal lensing spectroscopy of monosubstituted benzenes in 1B2u(1Lb) – 1A1g(1A) and 1B1u(1La) – 1A1g(1A) transition regions, J. Chem. Phys. 90, 6793 (1986). 19. Milam, D., and Weber, M. J., Measurement of nonlinear refractive-index coefficients using timeresolved interferometry: application to optical materials for high-power neodymium laser, J. Appl. Phys. 47, 2497 (1976).

5.5.1 Two-Photon Absorption Cross Sections The two-photon absorption cross section σ2 is related to the two-photon absorption coefficient β by σ2 = (hν/N)β, where N is the number density of molecules. Two-Photon Absorption Coefficient β Liquid

Wavelength (nm)

Pulse length (ns)

β × 1011 (m/W) 1.5 4.5 × 10-5

1 1

1.9

2

1.2 6.3 × 10-4

1 1

benzene, C6H6

354.7 532.1

5 5

cyclohexane, C6H12

694.3

14

toluene, C7H8

354.7 532.1

5 5

References: 1. Chen, C. H. and McCann, M. P., J. Phys. Chem. 8S, 4671 (1988). 2. Lotem, H. and de Araujo, C. B., Phys. Rev. B 16, 1711 (1977).

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Ref.

Section 5: Liquids

399

Two-Photon Absorption Cross Sections

Material

Excitation duration (ns)

Method

Two–Photon cross section σ2 10–50cm4 s/ phot. mol.

Applied two–photon energy (eV)

Ref.

123TB 124TB 1234TB 1235TB

TPIF TPIF TPIF TPIF

5 5 5 5

4.66 4.66 4.66 4.66

0.0021 0.075 0.076 0.18

1 1 1 1

α-NPA

L

0.002–0.003

3.57–4.62

Relative spectrum

2

Aniline

TL

3.96–5.69

Relative spectrum 3 (8.8 × benzene @ 4.10 eV)

Anthracene

L

40

3.57

14

4

Azulene

AFRS

42–67

4.66

1070

5

Benzene

TL

4.46–5.69

Relative spectrum 3 (49.0 × benzene @ 4.98 eV) 0.00025 1

TPIF

5

4.66

Bis-MSB

L

0.002–0.003

3.57–4.62

Relative spectrum (690 @ 4.24 eV)

2

BRD

TPDR TPDR TPDR TPDR TPDR TPDR TPDR TPDR TPDR TPDR TPDR

6 6 6 6 6 6 6 6 6 6 6

2.07 2.12 2.16 2.21 2.30 2.36 2.56 2.70 2.78 2.92 3.02

169 207 247 289 288 244 201 167 127 174 199

6 6 6 6 6 6 6 6 6 6 6

Fluorobenzene

TL

4.46–5.69

Relative spectrum 3 (1.5 × benzene @ 4.65 eV and 5.5 × benzene @ 5.69 eV)

Mesitylene

TPIF

5

4.66

0.096

1

m-Xylene

TPIF

5

4.66

0.028

1

o-Xylene

TPIF

5

4.66

0.035

1

p-Xylene

TPIF

5

4.66

0.052

1

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Handbook of Optical Materials

Two-Photon Absorption Cross Sections—continued

Material

Excitation duration (ns)

Method

Applied two–photon energy (eV)

Two–Photon cross section σ2 10–50cm4 s/ phot. mol.

Ref.

Phenol

TL

4.21–5.69

Relative spectrum (0.8 x benzene @ 4.39 eV and 8.6 × @ 5.45 eV)

3

Pyridine

TL

4–6.2

Relative spectrum (0.27 @ 4.5 eV)

7

R6G

AI1

0.015

3.57

180

8

RB

AI1

0.015

3.57

120

8

Retinal

L

40

3.57

27 (in ethanol)

4

Retinyl acetate

L L

40 40

3.57 3.57

26 (in n-hexane) 29 (in EPIP

4 4

Toluene

TL

4.46–5.69

Relative spectrum (2.1 × benzene @ 4.59 eV and 3.3 × @ 5.62 eV)

3

4.66

0.0036

1

TPIF

5

Table from Garito, A. F. and Kuzyk, M G., Two-photon absorption, organic materials, in Handbook of Laser Science and Technology, Supplement 2: Optical Materials (CRC Press, Boca Raton, FL, 1995), p. 329.

References: 1. 2. 3.

4.

5. 6.

7. 8.

Chen, C. H., and McCann, M. P., Measurements of two-photon absorption cross sections for liquid benzene and methyl benzenes, J. Chem. Phys. 88, 4671 (1988). Kennedy, S. M., and Lytle, F. E., p-bis(o-Methylstyryl)benzene as a power-squared sensor for two-photon absorption measurements between 537 and 694 nm, Anal. Chem. 58, 2643 (1986). Rice, J. K., and Anderson, R. W., Two-photon, thermal lensing spectroscopy of monosubstituted benzenes in 1B2u(1Lb) ← 1A1g(1A) and 1B1u(1La) ← 1A1g(1A) transition regions, J. Chem. Phys. 90, 6793 (1986). Bachilo, S. M., and Bondarev, S. L., Spectral and polarization features of two-photon absorption in retinal and retinyl acetate, J. Appl. Spectrosc. 45, 1078 (1986); translated from Zhurnal Prikladnoi Spektroskopii 45, 623 (1986). McGraw, D. J., Michaekson, J., and Harris, J. M., Anharmonic forced Rayleigh scattering: A technique for study of saturated absorption in liquids, J. Chem. Phys. 86, 2536 (1987). Birge, R. R., and Zhang, C. F., Two-photon double resonance spectroscopy of bacteriorhodopsin. Assignment of the electronic and dipolar properties of the low-lying 1Ag*– -like and 1Bg*+ -like π, π* states, J. Chem. Phys. 92, 7178 (1990). Salvi, P. R., Foggi, P., Bini, R., and Castellucci, E., The two-photon spectrum of liquid pyridine by thermal lensing techniques, Chem. Phys. Lett. 141, 417 (1987). Sperber, P., and Penzkofer, H., S0-Sn two-photon absorption dynamics of rhodamine dyes, Opt. Quantum Electron. 18, 281 (1986).

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Section 5: Liquids

401

5.5.2 Nonlinear Refraction Nonlinear Refractive Index γ Liquid

Wavelength (µm)

γ × 1020 (m2/W)

Ref.

acetic acid, C2H4O2

0.6943

22.6

1

acetone, C3H6O

0.6943

13.3

1

benzene,* C6H6

0.57 0.6943

38 35

carbon disulfide,* CS2

0.53 0.6943 1.0642 1.32 10.6

310 ± 30 390 ± 50 290 ± 30 330 390 ± 150

4,7 1 3 4 5 4 6

carbon tetrachloride, CCl4

0.53 0.56-0.59 0.6943

10.2 8.0 5.8

4,7 8 1

chloroform, CHCl3

0.53 0.6943

20 17

4,7 1

cyclohexane, C6H12

0.53 0.55-0.58

7.6 12.3 ± 0.9

4,7 9

1,2-dichloroethane, C2H4Cl2

0.53

24

4,7

ethanol, C2H6O

0.53

5.2

4,7

glycerine (glycerol), C3H8O3

0.53

4.7

4,7

heavy water, D2O

1.06

6.4

10

methanol, CH4O

0.53

4.7

4,7

nitrobenzene, C6H5NO2

0.53 0.6943

450 240

4,7 1

toluene, C7H8

0.53 0.6943

113 85

4,7 1

water, H2O

0.53 0.6943 1.0642

2.7 2.8 5.4(?)

4,7 1 10

Measurements made at room temperature. * Materials used for liquid optics based on nonlinear self-focusing [Ramanthan, D. and Molian, P. A., Laser micromachining using liquid optics, Appl. Phys. Lett. 78, 1484 (2001)].

References: 1. 2. 3. 4. 5.

Smith, W. L., Nonlinear refractive index, in CRC Handbook of Laser Science and Technology, Vol. III, Optical Materials: Part 1 (CRC Press, Boca Raton, FL, 1986), p. 259. Owyoung, A. and Peercy, P. S., J. Appl. Phys. 48, 674 (1977). Bennett, H. E., Guenther, A. H., Milam, D., and Newnam, B. E., Appl. Opt. 26, 813 (1987). Witte, K. J., Galanti, M., and Volk, R., Opt. Commun. 34, 278 (1980). Cherlow, J. M., Yang, T. T., and Hellwarth, R. W., IEEE J. Quantum Electron. QE-12, 644 (1976).

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Handbook of Optical Materials

6. Sheik-Bahae, M., Said, A. A., Wei, T.-H., Hagan, D. J., and Van Stryland, E. W., IEEE J. Quantum. Electron. 26, 760 (1990). 7. Ho, P. P. and Alfano, R. R., Phys. Rev. A 20, 2170 (1979). 8. Levenson, M. D. and Bloembergen, N., J. Chem. Phys. 60, 1323 (1974). 9. Song, J. J. and Levenson, M. D., J. Appl. Phys. 48, 3496 (1977). 10. Smith, W. L., Liu, P., and Bloembergen, N., Phys. Rev. A 15, 2396 (1977).

Nonlinear Refraction Data for Solutions Dye weight fract.(%)

Material

Solvent

4-BCMUy DEANS DMSM DMSM MNA P(4ABP) P(DPA) PBPCa PMTBQa PTPCa

DMF 14 DMF 3 Ethanol 5 Formamide 20 Ethanol 5 –2 DMF 10 –10–3 M/l DMF 10–2–10–3 M/l 0.73 M/l CHCl3 DCM 100 0.73 M/l CHCl3 DMSO 10–3 M/l 0.73 M/l CHCl3

Retinal TKCPPCa

Method

Pulse length (ns)

DFWM OKE OKE OKE OKE DFWM DFWM DFWM DFWM DFWM DFWM DFWM

0.033 6 6 6 6 0.040 0.040 0.035 0.030 0.035 6 0.035

Wavelength (nm)

Linear ( 3) ( 3) refract. χ 1111 , χ 1212 –12 3 index ( 10 cm /erg) Ref.

1064 700, 830 700, 830 700, 830 700, 830 1064 1064 1064 532 1064 532 1064

1.43

1.43 1.43

1.4 ª0.2 0.46 3 ª0.2 0.31, 0.17 0.48, 0.22 200 4600 20 4.3 4.0

7 8 8 8 8 9 9 10 11 10 12 10

aExtrapolated from solution measurement.

Nonlinear Refraction Data for Dye Solutions

Dye A9860 b-Carotene BDN BEEDT BPDDT DNTPC DTTC IR5 Nigrosine S501

Solvent 1,2-dichloroethane EtOH Toluene Dichloromethane Dichloromethane MtOH MtOH 1,2-Dichloroethane H2 O o-Dichlorobenzene

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Dye conc. (1022cm–3)

Method

Pulse length (ns)

Wavelength (nm)

Linear refract. index

0.58

DFWM

0.16

532

1.45

1.8

2,3

20 1.6 0.0001

DFWM DFWM DFWM

0.16 0.16 0.1

532 532 1064

1.3 1.49

0.2 1.7 0.36

1,3 2,3 4

0.0001

DFWM

0.1

1064

1.36

4

4.3 25 1

DFWM DFWM DFWM

0.16 0.16 0.16

532 532 532

1.3 1.3 1.45

1.0 0.8 2.1

2,3 2,3 2,3

42 0.5

DFWM DFWM

0.16 0.16

532 532

1.33 1.55

2.6 1.25

2,3 2,3

( 3)

χ 1111 (10–20m2/V2) Ref.

Section 5: Liquids

403

Nonlinear Refraction Data for Dye Solutions—continued

Dye

Absorption Pulse coeff. length α(cm–1) Method (ns)

Solvent

BP4B BP4B BP4B BP4B Chrysoidina Chrysoidin Chrysoidin DQCI DQCI DQCI Malachite green Malachite green Malachite green

Acetone Ethanol Glycerol Methanol Acetone Ethonal Methonal Acetone Acetone Acetone Acetone Acetone Acetone

0.39 0.67 2.28 0.74 0.21 0.67 0.66 92 16.1 267 27.6 82.8 175

DFWM DFWM DFWM DFWM DFWM DFWM DFWM PS PS PS PS PS PS

20 20 20 20 20 20 20 6 6 6 6 6 6

Wave( 3) length χ 1111 –20 2 (nm) (10 m /V2) 532 532 532 532 532 532 532 590 590 590 610 610 610

( 3)

( 3)

χ 1212 , χ 1221

(10–12cm3/erg)

Ref.

8000 1600 20000 8800 4000 7000

5 5 5 5 5 5 5 6 6 6 6 6 6

89 151 130 146 83.1 113 146

aLinear refractive index = 1.33. Dye conc. Dye BDN CoTPP H2TPP IR5 S501 ZnTPP

Solvent Toluene Toluene Toluene 1,2–Dichloroethane 1,2–Dichloroethane Toluene

Pulse length

Wavelength

Linear refract.

(nm)

index

(10–4 M/l)

Method

(ns)

* 0.727 3.86 *

DFWM DFWM DFWM DFWM

0.18 0.08–0.2 0.08–0.2 0.18

1064 532 532 1064

1.5

*

DFWM

0.18

1064

2.29

DFWM

0.08–0.2

532

( 3)

χ 1111 – (10 20 m2/V2) Ref.

1.45

91 10 40 62

2 2 2 2

1.45

59

2

20

2

*Dye concentration adjusted for 50% transmission in a 2-mm cell.

Dye

Solvent

MNTPM MNTPMP MOMT TBPP ZHDFT ZMTM ZMTMF ZMTP ZMTPDMAP

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THF THF THF THF THF THF THF THF THF

Dye

Pulse

Wave-

Linear

conc. (10–4 g/ml)

Method

length (ns)

length (nm)

refract. index

0.1–1.0 0.1–1.0 0.1–1.0 0.1–1.0 0.1–1.0 0.1–1.0 0.1–1.0 0.1–1.0 0.1–1.0

DFWM DFWM DFWM DFWM DFWM DFWM DFWM DFWM DFWM

17 17 17 17 17 17 17 17 17

532 532 532 532 532 532 532 532 532

( 3)

χ 1111

(10–12 cm3/erg) Ref. 14000 12000 8000 3000 2000 15000 13000 3000 28000

1 1 1 1 1 1 1 1 1

404

Handbook of Optical Materials Nonlinear Refraction Data for Liquids

Liquid

Method

Pulse length (ns)

4ABP α-Picoline Benzene Benzene Benzene Benzene Benzene Benzene

DFWM TRI OKE OKE OKE OKE OKE TRI

0.040 0.025 0.03 0.03 0.03 0.03 0.03 0.025

Benzene

DFWM

chloride BTMSF CCl4 CH3COCH3 Chloroform

OL TRI TRI TRI

CS2

DFWM

CS2 CS2 CS2 Cyclohexane

PST TRI SFL RTI

DMF DPA Molten ferrocene Nitrobenzene Nitrobenzene Nitrobenzene Nitrobenzene Nitrobenzene Nitrobenzene Nitrobenzene P(4ABP) P(DPA) PPV Toluene

DFWM

Wavelength (nm) 1064 532 1064, 459 1064, 472 1064, 496 1064, 517 1064, 590 532

0.033

1064

10 0.025 0.025 0.025

1060 532 532 532

0.033

1064

130 0.025 3 0.025

10600 532 10600 532

0.033

DFWM OL

0.040 10

OKE OKE OKE OKE OKE OL TRI DFWM DFWM DFWM RTI

0.03 0.03 0.03 0.03 0.03 10 0.025 0.040 0.040 0.0004 0.025

Linear ( 3) ( 3) refract. χ 1111 , χ 1212 index (10–12 cm3/erg)

1.52a 1.52a 1.51a 1.51a 1.50a 1.51

χ 1.55 1.45

1064, 459 1064, 472 1064, 496 1064, 517 1064, 590 1060 532 1064 1064 602,580 532

( 3) 1212

0.05

0.049

= 0.11

0.008 0.009 0.015

1.45 1.63 1.63 1.63 1.43

0.60 0.007

χ

( 3) 1212

1.58a 1.58a 1.57a 1.56a 1.55a 1.56 1.55

15 16 16 16

8.75 0.68 0.83 0.009

16 13 17 13

7

= 0.033

7

1.49

0.17 0.13 0.168 0.146 0.132 0.084 0.11 = 100 = 100 400 0.018

9 13 14 14 14 14 14 13

0.20 0.009 0.010 0.019

= 3 1.55

Ref.

7

( 3) χ 1212 = 0.32

1064 1064 1060

<_(3) > = 3 0.045 0.057 0.057 0.068 0.059 0.070 0.036

( 3)

χ 1111 (10–12 cm3/erg)

0.20 0.13

0.038

9 15 14 14 14 14 14 15 13 9 9 18 13

a Refractive index of probe beam. The tables above are from Garito, A. F. and Kuzyk, M G., Two-photon absorption, organic materials, Handbook of Laser Science and Technology, Supplement 2: Optical Materials (CRC Press, Boca Raton, FL, 1995) , p. 289.

© 2003 by CRC Press LLC

Section 5: Liquids

405

References: 1. 2. 3. 4. 5. 6. 7. 8. 9.

10.

11. 12. 13. 14

15. 16 17. 18.

Rao, D. V. G. L. N., Aranda, F. J., Roach, J. F., and Remy, D. E., Third-order, nonlinear optical interactions of some benzporphyrins, Appl. Phys. Lett. 58(12), 1241 (1991). Maloney, C., Byrne, H., Dennis, W. M., and Blau, W., Picosecond optical phase conjugation using conjugated organic molecules, Chem. Phys. 21, 21 (1988). Maloney, C., and Blau, W., Resonant third-order hyperpolarizabilities of large organic molecules, J. Opt. Soc. Am. B 4(6), 1035 (1987). Winter, C. S., Hill, C. A. S., and Underhill, A. E., Near resonance optical nonlinearities in nickel dithiolene complexes, Appl. Phys. Lett. 58(14), 107 (1991). Mailhot, S., Galarneau, P., Lessard, R. A., and Denariez-Roberge, M.-M., Degenerate four-wave mixing in organic azo dyes chrysoidin and benzopurpurin 4B, Appl. Opt. 27(16), 3418 (1988). Marcano, A., and Aranguren, L., Absolute values of the nonlinear susceptibility of dye solutions measured by polarization spectroscopy, J. Appl. Phys. 62(8), 3100 (1987). Nunzi, J. M., and Grec, D., Picosecond phase conjugation in polydiacetylene gels, J. Appl. Phys. 62(6), 2198 (1987). Kanabara, H., Kobayashi, H., and Kubodera, K., Optical Kerr shutter performance of a solution of organic nonlinear optical materials, IEEE Phot. Tech. Lett. 1(6), 149 (1989). Chandrasekhar, P., Thorn, J. R. G., and Hochstrasser, R. M., Third-order nonlinear-optical properties of poly(diphenyl amine) and poly(4-amino biphenyl), novel processible conducting polymers, Appl. Phys. Lett. 59(14), 1661 (1991). Shirk, J. S., Lindle, J. R., Bartoli, F. J., Hoffman, C. A., Kafafi, Z. H., and Snow, A. W., Offresonant third-order optical nonlinearities of metal-substituted phthalocyanines, Appl. Phys. Lett. 55(13), 1287 (1989). Jenekhe, S. A., Lo, S. K., and Flom, S. R., Third-order nonlinear optical properties of a soluble conjugated polythiophen derivative, Appl. Phys. Lett. 54 (25), 2524 (1989). Sakai, T., Kawabe, Y., Ikeda, H., and Kawasaki, K., Third-order nonlinear optical properties of retinal derivatives, Appl. Phys. Lett. 56(5), 411 (1990). Xuan, N. P., Ferrier, J - L, Gazengel, J., and Rivoire, G., Picosecond measurements of the third order susceptibility tensor in liquids, Opt. Commun. 51(6), 433 (1984). Kuzyk, M. G., Norwood, R. A., Wu, J. W., and Garito, A. F., Frequency dependence of the optical Kerr effect and third-order electronic nonlinear-optical processes of organic liquids, J. Opt. Soc. Am. B 6(2), 154 (1989). Winter, C. S., Oliver, S. N., and Rush, J. D., n2 measurements on various forms of ferrocene, Opt. Commun. 69(1), 45 (1988). Mohebi, M., Aiello, P. F., Reali, G., Soileau, M. J., and Van Stryland, E. W., Self-focusing in CS2 at 10.6 mm, Opt. Lett. 10(8), 396 (1985). Golub, I., Beaudoin, Y., and Chin, S. L., Nonlinear refraction in CS2 at 10.6 µm, Opt. Lett. 13 (6), 488 (1988). Bhanu, Singh, P., Prasad, P. N., and Karasz, F. E., Third-order non-linear optical properties of oriented films of poly( p-phenylene vinylene) investigated by femtosecond degenerate four wave mixing, Polymer 29, 1949 (1988).

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406

Handbook of Optical Materials

5.5.3 Kerr Constants DC Kerr Constants of Pure Liquids

Liquid acetone, C3H6O benzene, C6H6 carbon disulfide, CS2 carbon tetrachloride, CCl4 bronobenzene, C6H5Br cyclohexane, C6H12

DC Kerr constant B0 (10–16 (m/V2)

Liquid

DC Kerr constant B0 (10–16 (m/V2)

1814 66 358.9 8.2 1012 8.2

cyclohexane, C6H12 ethanol, C2H6O hexane, C6H14 methanol, CH4O nitrobenzene, C6H5NO2 toluene, C7H8

8.2 85.5 5.0 107.9 28500 83.3

Measurements made at a wavelength of 589.3 nm and 293 K.

Reference: 1. Shen, Y. R., Electrostriction, optical Kerr effect and self-focusing of laser beams, Phys. Lett. 20, 378–380 (1966).

DC Kerr Response of Binary Liquids

Material A

Material B

Benzene Benzene Benzene Benzene Cyclohexane Cyclohexane Cyclohexane Cyclohexane Cyclohexane Nitromethane Nitromethane Nitromethane Nitromethane Pyridine Pyridine Pyridine

Chlorobenzene Chlorobenzene Chlorobenzene Chlorobenzene Nitrobenzene Nitrobenzene Nitrobenzene Nitrobenzene Nitrobenzene Chlorobenzene Chlorobenzene Chlorobenzene Chlorobenzene 2,6-Lutidine 2,6-Lutidine 2,6-Lutidine

Molar

Wave-

Linear

fraction A

length (nm)

refract. index

0 0.3 0.6 1.0 0 0.2 0.4 0.8 1.0 0 0.4 0.7 1.0 0 0.6 1.0

632.8 632.8 632.8 632.8 632.8 632.8 632.8 632.8 632.8 632.8 632.8 632.8 632.8 632.8 632.8 632.8

1.524

1.501 1.556

1.427 1.524

1.382 1.495 1.509

Temp. (°C) 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25

(2) (2) n1111 − n1122 (10–20 m2/V2)

9.15 6.21 3.28 0 28.2 16.4 9.32 1.41 0 9.15 10.7 12.3 8.28 8.28 11.9 14.5

Reference: Piazza, R., Degiorgio, V., and Bellini, T., Kerr effect in binary liquids, J. Opt. Soc. Am. B 3, 1642 (1986).

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Section 5: Liquids

407

DC Kerr Response of Binary Liquids Weight Material A B Lutidine Lutidine Lutidine Lutidine Lutidine Lutidine Lutidine

Linear

Percent of A (%)

Wavelength (nm)

0 35 35 35 100 100 100

632.8 632.8 632.8 632.8 632.8 632.8 632.8

H2 O H2 O H2 O H2 O H2 O H2 O H2 O

refractive Index 1.33

1.495

(2) (2) n1111 − n1122 (10–20 m2/V2)

Temp. (°C) 23–32.8 23 32 32.8 32 32.8 23

24.0 10.2 21.9 38.0 8.76 8.76 8.76

Reference: Piazza, R., Degiorgio, V., and Bellini, T., Kerr effect in binary liquids, J. Opt. Soc. Am. B 3, 1642 (1986). The tables above are from Garito, A. F. and Kuzyk, M. G., Two-photon absorption, organic materials, Handbook of Laser Science and Technology, Supplement 2: Optical Materials (CRC Press, Boca Raton, FL, 1995), p. 289.

Optical Kerr Constant The laser-induced Kerr constant is given by B0 = λp is the linearly polarized probe beam wavelength.

2 π/ n λ p χ(3) 1 2 1 2 +

χ ( 3 )1 2 2 1

, where

Optical Kerr Constants of Pure Liquids Liquid acetic acid

Wavelength (nm) 532 694

Optical Kerr constant B0 (10–16 m/V2)

1064

33.0 22.9 21.5

acetone, C3H6O

694

8.2

benzene, C6H6

532 694 1064

carbon disulfide, CS2

694 1064

carbon tetrachloride, CCl4

chlorobenzene, C6H5Cl chloroform, CHCl3

694

470 360

1064

8.9 3.3

1064

89.9

694 1064

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79 70 51

23 18

408

Handbook of Optical Materials Optical Kerr Constants of Pure Liquids—continued Liquid

Wavelength (nm)

Optical Kerr constant B0 (10–16 m/V2)

cyclohexane, C6H12

694

6.8

m-dichlorobenzene, C6H4Cl2

694

170

o-dichlorobenzene, C6H4Cl2

694

179

ethanol, C2H6O

694 1064

5.22 5.1

heavy water, D2O

1064

2.9

heptane, C7H16

694 1064

11.3 7.6

694

20.2

694

9.9 6.9

hexadecane, C16H34 hexane, C6H14

1064 methanol, CH4O

1064

694

4.76 3.3

methylcyclohexane, C7H14

694

7.7

nitrobenzene, C6H5NO2

694 1064

420 260

tetrachloroethylene, C2Cl4

694

148

toluene, C7H8

694

120 99

1064 water, H2O

o-xylene, C8H10 m-xylene, C8H10 po-xylene, C8H10

694

4.6

1064

2

694 694 694

130 125 120

Measurements at room temperature.

Reference: 1. Harrison, N. J. and Jennings, B. R., Laser-induced Kerr constants for pure liquids, J. Phys. Chem. Ref. Data 21, 157–163 (1992).

© 2003 by CRC Press LLC

Section 5: Liquids

409

5.5.4 Third-Order Nonlinear Optical Coefficients

Liquid acetone, C3H6O benzene, C6H6

Nonlinear optical process (−ω; ω, ω, −ω) (−ω; ω, ω, −ω)

(−ω1; ω1, ω2, −ω2) (−2ω1+ ω2; ω1, ω1, −ω2)

(3ω; ω, ω, ω) (−2ω; ω, ω, 0) bromobenzene, C6H5Br

(−2ω1+ ω2; ω1, ω1, −ω2)

carbon disulfide, CS2

(−ω; ω, ω,−ω)

chloroform, CHCl3 1,2-dichloroethane, C2H4Cl2 1,4-dioxane, C4H8O2 ethanol, C2H6O

(−ω1; ω1, ω2, −ω2) (−2ω; ω, ω, 0) (−ω; ω, ω,−ω) (−2ω; ω, ω, 0) (−ω; ω, ω,−ω) (−2ω; ω, ω, 0) (−2ω; ω, ω, 0) (−ω; ω, ω,−ω)

glycerine (glycerol), C3H8O3 heptane, C7H16 hexane, C6H14 methanol, CH4O methylbenzene, C6H8 nitrobenzene, C6H5NO2

(−ω; ω, ω,−ω) (−2ω; ω, ω, 0) (−2ω; ω, ω, 0) (−2ω; ω, ω, 0) (−2ω; ω, ω, 0) (−ω; ω, ω,−ω)

carbon tetrachloride, CCl4

(−ω1; ω1, ω2, −ω2) (−2ω; ω, ω, 0) nitromethane, CH3NO2 toluene, C7H8 water, H2O

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(−2ω; ω, ω, 0) (−2ω; ω, ω, 0) (−2ω; ω, ω, 0)

Coefficient 20 2 –2 Cjn × 10 m V

Wavelength (µm)

C11 = 0.252 ± 0.056 C11 = 0.518 ± 0.07 C18 = 0.098 C18 = 0.0782 C18 = 0.091 C18 = 0.028 C11 = 0.56 C11 = 0.242 ± 0.024 C11 = 0.00859 ± 0.00037 C18 = 0.252 ± 0.00014 C11 = 0.0184 ± 0.056 C11 = 0.02215 ± 15% C11 = 0.02215 ± 15% C11 = 0.084 C11 = 0.0196 ± 15% C18 = 0.476 C18 = 0.560 C18 = 0.266 C11 = 0.06233 ± 15% C18 = 0.0168 ± 30% C11 = 0.0182 ± 15% C18 = 0.07 ± 30% C11 = 0.042 ± 15% C11 = 0.01351 ± 15% C18 = 0.0315 C11 = 0.196 ± 0.042 C11 = 0.196 ± 0.07 C11 = 0.84 ± 15% C11 = 0.7105 ± 15% C11 = 0.301 ± 15% C11 = 0.056 C18 = 0.42 C18 = 0.322 C11 = 1.148 ± 0.140 C18 = 0.182 C11 = 0.585 ± 15% C11 = 0.360 ± 15 C11 = 0.042 ± 0.093 C11 = 0.0238 ± 15% C11 = 0.0616 ± 15%

0.6943 0.6943 0.5000 0.6943 0.694 0.4880 0.694 0.5250 0.545 0.545 1.89 1.06 1.318 0.6943 1.06 0.694 0.500 0.4880 1.06 0.694 1.06 1.06 1.06 1.06 0.694 0.6943 0.6943 1.06 1.06 1.06 0.6943 0.500 0.6943 0.6943 0.4880 1.318 1.06 0.6943 1.06 1.06

410

Handbook of Optical Materials

Data in the preceding table are from S. Singh, Nonlinear optical materials, Handbook of Laser Science and Technology, Vol. III: Optical Materials, Part 1 (CRC Press, Boca Raton, FL, 1986), p. 54 ff. Data for additional liquids are included in this reference.

5.5.5 Stimulated Raman Scattering Observed SRS Lineshifts ω of Liquids Substance bromoforrn tetrachloroethylene carbon tetrachloridea ethyl iodide hexafluorobenzenea bromoform chlorine methylene bromide trichloroethylene carbon disulfide ethylene bromide chloroform α-xylene FC104b sulfur hexafluoride α-dimethylphenethylamine dioxane morpholinea thiophenola nitromethanea deuterated benzene potassium dihydrogen phosphate cumenea pyridine 1,3-dibromobenzene benzene aniline styrene m-toluidinea acetophenone bromobenzene chlorobenzenea tert-butylbenzene benzaldehydea ethylbenzoate benzonitrile ethylbenzene toluene

–1

ω (cm ) 222 448 460 497 515 539 552 580 640 655 660 667 730 757 775 836 836 841 916 927 944 980 990 991 992 992 997 998 999 999 1000 1001 1000 1001 1001 1002 1002 1004

Observed SRS Lineshifts ω of Liquids—continued

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Ref. 1 2 3 4 3 1 5 3 1 6 7 1 8 9 10 11 1 3 3 3 12 13 3 12 2 12 14 15 3 16 14 3 2 2 16 14 8 12

Section 5: Liquids

Substance fluorobenzene γ-picoline m-cresola m-dichlorobenzenea 1-fluoro-2-chlorobenzened 1-fluoro-2-chlorobenzened iodo-benzenea benzoyl chloridea benzaldehydea anisolea pyrrolea furana nitrous oxide styrene nitrobenzene 1-bromonaphthalene 1-chloronaphthalene 2-ethylnaphthalene m-nitrotoluenea carbon dioxide quinolinea homocyclohexane furana methyl salicylatea cinnamaldehyde styrene 3-methylbutadiene pentadiene isoprene 1-hexyne dimethyl sulfoxidec α-dichlorobenzenea benzonitrile acetonitrile 1,2-dimethylaniline nitrogen hydrobromic acid hydrochloric acid methylcyclohexane methanol cis trans, 1,3-dimethylcyclohexane tetrahydrofuran cyclohexane cis- l,2-dimelhylcyclohexane

–1

ω (cm ) 1012 1016 1029 1034 1034 1034 1070 1086 1086 1097 1178 1180 1289 1315 1344 1363 1374 1382 1389 1392 1427 1438 1522 1612 1624 1631 1638 1655 1792 2116 2128 2202 2229 2250 2292 2327 2493 2814 2817 2831 2844 2849 2852 2853

Observed SRS Lineshifts ω of Liquids—continued

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Ref. 17 3 3 3 2 2 3 3 3 3 3 3 10 15 12 12 18 2 3 10 3 4 3 3 18 15 19 19 11 2 20 3 18 4 3 21 9 9 3 1 2 18 12 2

411

412

Handbook of Optical Materials

Substance α-dimethylphenethylamine dioxane decahydronaphthalene cyclohexane cyclohexanone cis. trans-1,3-dimethylcyclohexane cyclohexane dichloromethanea dimethyl sulfoxide morpholine cargille 5610f 2,3-dimethyl-1,5-hexadiene limonene o-xylene 1-hexyne cis-2-heptene 2-octene acetonitrile mesitylene 2-bromopropane acetone ethanol cis-1,2-dimethylcyclohexane carvone cis, trans-1,3-dimethylcyclohexane 2-chloro-2-methylbutane dimethylformamide m-xylene 1,2-diethyl tartrate o-xylene piperidine 1,2-diethylbenzene 1-bromopropane piperidine tetrahydrofuran decahydronaphthalene piperidine cyclohexanone 2-nitropropane 1,2 diethyl carbonatea 1,2 dichloroethanea trans-dichloroethylene methyl fluoride 1-bromopropane

–1

ω (cm ) 2856 2856 2860 2863 2863 2866 2884 2902 2916 2902 2908 2910 2910 2913 2916 2916 2918 2920 2920 2920 2921 2921 2921 2922 2926 2927 2930 2933 2933 2933 2933 2934 2935 2936 2939 2940 2940 2945 2945 2955 2956 2956 2960 2962

Observed SRS Lineshifts ω of Liquids—continued

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Ref. 11 1 9 1 8 2 1 3 20 3 9 2 11 8 2 2 2 9 11 2 8 1 2 11 2 2 1 8 11 8 8 2 2 8 18 9 8 8 2 3 3 1 10 2

Section 5: Liquids

Substance 2-chloro-2-methylbutane α-dimethylphenethylamine dioxane methyl chloride cyclohexanola cyclopentanea cyclopentanola bromocyclopentanea o-dichlorobenzene p-chlorotoluene a-picolinea p-xylene o-xylene dibutyl-phthalatea 1, 1, 1-trichloroethane ethylene chlorohydrina isophoronea nitrosodimethylaminea propylene glycola cyclohexanea styrene pyridine benzene tert-butylbenzene 1-fluoro-2-chlorobenzene turpentinea pseudocumenea acetic acida acetonylacetonea methyl methacrylatea γ-picolinea aniline watera a b c d e f

–1

ω (cm ) 2962 2967 2967 2970 2982 2982 2982 2982 2982 2982 2982 2988 2992 2992 3018 3022 3022 3022 3022 3038 3056 3058 3064 3065 3082 3090 3093 3162 3162 3162 3182 3300 3651

Ref. 2 11 1 10 3 3 3 3 3 3 3 8 8 3 1 3 3 3 3 3 15 2 12 2 2 3 3 3 3 3 3 14 3

Observed at low resolution Product of 3M Co., St. Paul, MN 1:1 mixture with tetrachloroethylene Very weak and diffuse Deuterated Product of Cargille Laboratories, Cedar Falls, NJ

Table from Milanovich, F. P., Stimulated Raman scattering, Handbook of Laser Science and Technology, Vol. III: Optical Materials (CRC Press, Boca Raton, FL, 1986), p. 283.

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413

414

Handbook of Optical Materials

References: 1. Kern, S. and Feldman, B., Stimulated Raman Emission, Vol. 3, Massachusett Institute of Teehnology, Lincoln Laboratory, Bedford, MA. (1974), p. 18. 2. Barrett, J. J. and Tobin, M. C., Stimulated Raman emission frequencies in 21 organic liquids, J. Opt. Soc. Am. 56, 129 (1966). 3. Murtin, M. D. and Thomas, E. L., Infrared difference frequency generation, IEEE J. Quantum Electron. QE-2, 196 (1966). 4. El-Sayed, M. A., Johnson, F. M., and Duardo, J., A., Comparative study of the coherent Raman processes using the ruby and the second harmonic neodymium giant-pulsed lasers, J. Chim. Phys. 1, 227 (1967). 5. Kaiser, W. and Maier, M., Stimulated Rayleigh, Brillouin and Raman spectroscopy, in Laser Handbook, Vol. 2. Arrecchi, F. T. and Schultz-Dubois, E. O., Eds. (North-Holland, Amsterdam, 1972), p. 1078. 6. Giordmaine, J. A. and Howe, J. A., Intensity-induced optical absorption cross section in CS2, Phys. Rev. Lett. 11, 207 (1963). 7. Prasada Rao, T. A. and Seetharaman, N., Amplification of stimulated Raman scattering by a dye. Ind., J. Pure Appl. Phys. 13, 207 (1975). 8. Geller, M., Bortfeld, D. P., and Sooy, W. R., New Woodbury-Raman laser materials, Appl. Phys. Lett. 3, 36 (1961). 9. Smith, W. L. and Milanovich, F. P., Lawrence Livermore National Laboratory. Livermore. CA, private communication (1973). 10. Maple, J. R. and Knudtson, J. T., Transient stimulated vibrational Raman scattering in small molecule liquids. Chem. Phys. Lett. 56, 241 (1978). 11. Wright, J. K., Carmichael, C. H. H., and Brown, B. J., Narrow linewidth output from d Qswitched, Nd3+/glass laser. Phys. Lett. 16, 264 (1965). 12. Eckardt, G., Hellwarth, R. W., McClung, F. J., Shwarz, S. E., and Weiner, D., Stimulated Raman scattering from organic liquids, Phys. Rev. Lett. 9, 455 (1962). 13. Srivastava, M. K. and Crow, R. W., Raman susceptibilily measurements and stimulated Raman effect in KDP, Opt. Commun. 8, 82 (1973). 14. Maker, P. D. and Terhune, R. W., Study of optical effects due to an induced polarization third order in the electric field strength, Phys. Rev. 137, A801 (1965). 15. Bortlfeld, D. P., Geiller, M., and Eckhardt, G., Combination lines in the stimulated Raman spectrum of styrene. J. Chem. Phys. 40, 1770 (1964). 16. Orlovich, V. A., Measurement of the coefficient of stimulaled Raman scattering in organic liquids with the aid of an amplifier with transverse pumping, Zh. Prikl. Spektrosk. 23, 224 (1975). 17. Calvieilo, J. A. and Heller, Z. H., Raman laser action in mixed liquids, Appl. Phys. Lett. 5, 112 (1964). 18. Eckhardt, C., Selection of Raman laser materials, IEEE J. Quantum Electron.. QE-2, 1 (1966). 19. Subov, V. A., Sushchinskii, M. M., and Shuvalton, I. K., Investigation of the excitation threshold of induced Raman scattering, J. Exp. Theor. Phys. U.S.S.R. 47, 784 (1964). 20. Decker, C. D., High-efficiency stimulated Raman scattering/dye radiation source, Appl. Phys. Lett. 33, 323 (1978). 21. Stoicheff, B. P., Characteristics of stimulated Raman radiation generated by coherent light, Phys. Lett. 7, 186 (1963).

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Section 5: Liquids

415

5.5.6 Stimulated Brillouin Scattering Brillouin Gain Parameters for Selected Liquids

Material Acetone

Pump wavelength (nm)

Benzyl alcohol Butyl acetate

∆ν (MHz)

τB (ns)

gB (cm/GW)

n

1059

2.987

119 ± 5

1.34

15.8

1.355

532

5.93

361

0.44

12.9

1.359 (NaD)

20

532 Benzene

Frequency shift (GHz)

6.0

320

0.497

1059

4.124

228

0.7

9.6

532

8.33

515

0.31

12.3

532

9.38

2120

0.08

5.75

0.791

Ref. 1 2 3

1.4837

0.879

1

1.501 (NaD)

0.874

2

1.54 (Na-D)

1.045

2

1.394 (NaD)

0.882

2

1.595

1.262

1

3.8

1.452

1.595

1

8.77

532

6.23

575

0.28

CS2

1060

3.761

50

3.2

68

7.7

120

1.9

130

CCl4

1060

2.772

528

0.3

532

Density (g/cm3)

9.13

3

532

5.72

890

0.18

1.4595

1.594

2

Chloroform

532

5.75

635

0.25

11.7

1.446 (NaD)

1.492

2

Cyclohexane

532

7.19

1440

0.11

5.8

1.426 (NaD)

0.779

2

N,N-Dimethyl

532

7.93

615

0.26

7.8

1.431 (NaD)

0.944

2

Dichloromethane

532

5.92

255

0.62

16.8

1.424

1.325

2

o-Dichlorobenzene

532

8.03

1340

0.12

4.7

1.551

1.306

2

Ethanol

532

5.91

546

0.29

1.36

0.785

2

Ethylene glycol

532

10.2

3630

0.04

0.85

1.431

1.113

2

Freon 113

532

3.72

81

0.18

5.5

1.3578

1.575

2

n-Hexane

532

5.64

580

0.27

8.8

1.379

0.67

2

1060

4.255

396

0.4

7.2

1.5297

1.206

1

1.329

.791

formamide

Nitrobenzene Methanol

532

5.47

325

0.49

10.6

530

5.6

210

0.334

13

532

8.92

746

0.21

2.21 ± 0.02

182 ± 12

0.874

532

4.71

357

0.45

1060

3.070

216

0.735

Toluene

532

7.72

1314

0.12

Trichloroethylene

532

5.94

765

0.21

1060

3.703

170

0.935

Pyridine Tin tetrachloride Titanium

1064

14 11.2 ± 0.5

2 3

1.51

0.978

1.36

2.226

2 4 2

14.2

1.577

1.73

1

8.4

1.496

0.867

2

1.4755

1.464

2

1.324

1

1

tetrachloride

Water Xylenes

12 3.8

532

7.4

607

0.26

2.94

1.333

1

2

532

7.74

1211

0.13

9.3

1.497

0.86

2

References: 1. Erohkin, A. I., Kovalev, V. I., and Faizullov, F. S., Determination of the parameters of a nonlinear response of liquids in an acoustic resonance region by the method of nondegenerate four wave interaction, Sov. J. Quantum Electron. 16, 872 (1986). 2. Dyer, M. J., and Bischel, W. K., unpublished data. 3. Narum, P., Skeldon, M. D., and Boyd, R. W., Effect of laser mode structure on stimulated Brillouin scattering, IEEE J. Quantum Electron. QE-22, 2161 (1986). 4. Amimoto, S. T., Gross, R. W. F., Garman-DuVall, L., Good, T. W., and Piranian, J. D., Stimulated Brillouin-scattering properties of SnCl4, Opt. Lett. 16, 1382 (1991).

© 2003 by CRC Press LLC

416

Brillouin Materials Used for Phase Conjugation Wavelength λ (nm)

Refract. index

Sound speed v s (km/s)

Acetic acid 295 Acetone

295 293

Acetonitrile

1.36

1.355

Gain g (cm/GW)

Density ρ (g/cm3)

235 4 1.8 0.44

40 90 361

1.168

2.97 5.93 5.00 5.05 2.987

1.19

4.600

260 119 a 180 175

5.52

300

2.67

18 12.9 12.9 12.9 15.8 20 18

0.791

1064 1060 1060

3 4 5 6 7 7 2 8 9 11 2 6

694 632 532

293 323

Ref. 1 2

400

4.61 3.1

1.19

Line width ∆v b ( M H z )

1064

Benzene

© 2003 by CRC Press LLC

1.40

633

BCl3

Phonon lifetime τp (ns)

5.05 5.64

633 694 1064 1064 1064 1064 532 633 1064 694 694

Brillouin shift at λ (GHz)

1.5 1.50

1.5 1.4837 1.4648

1.5 1.473 1.359

7.10 8.33 7.03 7.08 4.124 3.757

0.31

3 1.40 1.07

245 340 515 520

228 a 297

18 12.3

18 9.6

0.879

11 3 7 2 1 5 8 8

Handbook of Optical Materials

Liquids

Temp. (K)

289 a

Benzene

694

6.470

Benzyl alcohol

532

9.38

Butanol

633

5.63

Butyl acetate

532

6.23

0.28

575

9.13

7

C 2Cl 3F 3

532

3.72

0.18

865–880

5.50

7

1.86

0.72

220

5.5

6

(Freon 113)

1064

Carbon disulfide, CS2

694 694 1064 1060 1060 1064 694 633 633 633

293 300

301 162

694 694 1064 532 633

0.728 1.25 1.142

1.62 1.593

1.46 1.46

1.250

0.92 1.05 1.05 1.04?

5.85 3.8 3.76

2120

5.75

7

720

7 6.4 4.9 6.7 2.1

55 80 23

140 132 396

4.41

630 430 1.3 0.18

2

45 50 68

1.263 1.263

130

6.45 6.24 9.05

2.9 5.72 4.82

9

122 890 1260

1.595 8 6 3.8 8.77

1.591

11 3 5 8 8 4 10 2 11 11 3 11 5 6 7 2

Section 5: Liquids

Carbon tetrachloride, CCl4

1.36

0.08

18

417

© 2003 by CRC Press LLC

418

Brillouin Materials Used for Phase Conjugation—continued

Carbon tetrachloride, CCl4

Wavelength λ (nm)

293

Refract. index 1.452

Sound speed v s (km/s) 1.012

Brillouin shift at λ (GHz) 2.772

Phonon lifetime τp (ns) 0.60

Line width ∆v b ( M H z )

Gain g (cm/GW)

Density ρ (g/cm3)

528 a

3.8

1.595

650

6 8

1060 4.390

Chloroform

532 633

Cyclohexane

532 1064 694 694

1.43

0.25

635 840

11.7

7 2

7.19

0.11 1

1440 774 b 670

5.8 7 6.8 6.8

7 5 9 11

16.8 16.9

7 4

12 c

7 2 9

1.35 5.550 1.35

532

5.92 2.96

0.62 2.5

255 64

Ethanol

532 633 694

5.91 5.04 4.550

0.29

546 600 353 b

532

Germanium tetrachloride, GeCl4 Glycerol

© 2003 by CRC Press LLC

10.2

0.04

3630

1.46

298 245

8 12 9 9

5.75 4.88

Dichloromethane, CCl2H2

Ethylene glycol

Ref.

0.85 12

2.8 3.3

382

7 1.87

6

11 11

Handbook of Optical Materials

Liquids

Temp. (K)

166 Methanol

1064 532 633 694 694

N,N-Dimethyl formamide

1.33

1.12 5.47 4.68 4.250

1.33

532 1064 694 694 694

Nitrobenzene 293 313

694 1064 1060 1060

3.7 0.49

1.113

1.56 1.530 1.521

1.56 1.56 1.474 1.414

325 260 250 b 200

13 10.6 13 13.2

5 7 2 9 11

7.93

0.26

615

7.8

7

5.64

0.27 3.5

580

8.80 19 26 19 10

7 5 9 11 9

4.5 4.5 7.2

11 5 8 8

1.11

1.37

11

220 212 212 900 4.255 4.057

0.8 0.80 0.77

8.03

0.12

396 a 416 1340

4.70

PCl3 Pyridine

1.206

7 8.6

532 633 633

8.92 7.38 7.36

0.21

746 780

14.00

6 7 13 2

Section 5: Liquids

532

1.37

42

1.118

532

n-Hexanes

o-Dichlorobenzene

3.7

419

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420

Brillouin Materials Used for Phase Conjugation—continued Wavelength λ (nm)

Silicon tetrachloride, SiCl4 Tin tetrachloride, SnCl4

Water, H2O

© 2003 by CRC Press LLC

Brillouin shift at λ (GHz)

Phonon lifetime τp (ns)

Line width ∆v b ( M H z )

Gain g (cm/GW) 10

1.51 308

293

Trichloroethylene

Sound speed v s (km/s)

Density ρ (g/cm3)

6 0.830

1064 532 1064 1064 1064 532 1064 1064 1060 694 532 633 1064

1.7 0.45 1.8

182 357 89

11.2

14

1.05

3.2 4.71

2 0.45

80 357

1.577

1.032

3.070

1.47

2.0 216 a

1.38 7.72 6.41 1.4

532 1064 1064 532 633

11 2.21 4.71 2.36

1.62

1.5

1.33

Ref.

1.48

1.41

Titanium tetrachloride, TiCl4

Toluene

Refract. index

1.48

480 0.12 1000 1.5

1314

14.2 13 8.4 10

14 7 7 6 1.73

20 ± 4 1.73

5 7 15 6 8 11 7 2 5

5.94

.21

765

12.00

7

3.7 3.7 7.4 6.23

1.1 0.26

152 607 440

2.94 2.94

7 7 2

Handbook of Optical Materials

Liquids

Temp. (K)

293

1064 1060

1.33 1.324

694 694

1.33

Water, D2O Xylenes 26 Organic liquids 30 Organic liquids

3.703

3.4 1.87a

1.482 1.488 5.69

1.33 532

1.49

1.38

3.46

3.4

7.74

0.13

170 a

4.8 3.8

220 317 b

4.8 4.8

47

3.1

1211

0.997

5 8 16 11 9

1.1

9.30

XeCl laser

17

532

18

aThese authors assume that lifetime = 1/(π × linewidth); bThis is the spontaneous scattering linewidth; these authors report different values for the spontaneous and stimulated scattering linewidth; cThis is a theoretically calculated, not an experimental, number; d Density in amagats rather than pressure in atmospheres. Table from Pepper, D. M., Minden, M. L., Bruesselbach, H. W. and Klein, M. B., Nonlinear optical phase conjugation materials, in Handbook of Laser Science and Technology, Suppl. 2: Optical Materials (CRC Press, Boca Raton, FL, 1995), p. 467.

Section 5: Liquids 421

© 2003 by CRC Press LLC

422

Handbook of Optical Materials

References: 1. Cummins, H. Z., and Gammon, K. W., J. Chem Phys. 44, 2785 (1966). 2. Ratanaphruks, K., Grubbs, W. T., and MacPhail, R. A., CW stimulated Brillouin gain spectroscopy of liquids, Chem. Phys. Lett. 182, no. 3–4, 371–8 (2 Aug. 1991). 3. Laubereau, A., Englisch, W., and Kaiser, W., Hypersonic absorption of liquids determined from spontaneous and stimulated Brillouin scattering, IEEE J. Quantum Electron. QE-5, 410–415 (1969). 4. Chiao, R. Y., Brillouin scattering and coherent phonon generation, Ph.D. Diss. No. 0753, Massachusetts Institute of Technology, Cambridge, MA (1965). 5. Bespalov, V. I., and Pasmanik, G. A., Nonlinear Optics and Adaptive Laser Sytems (Nauka, Moscow, U.S.S.R. (1985). Trans. by Translation Division, Foreign Technology Division,Wright Patterson Air Force Base, OH, document FTD-ID(RS)T-0889-86). 6. Bubis, E. L., Vargin, V. V., Konchalina, L. R., and Shilov, A. A., Study of low-absorption media for SBS in the near-IR spectral range, Opt. Spektrosk. (Opt. Spectrosc.) 65, 1281–1285 (759–9) (Dec. 1988). 7. Dyer, M. J., and Bischel, W. K., Stimulated Brillouin spectroscopy of liquids, Paper No. CTuN5, Conference on Lasers and Electro-Optics (CLEO), Anaheim, CA, May 10–15 (1992). 8. Erokhin, A. I., Kovalev, V. I., and Faizullov, F. S., Determination of the parameters of a nonlinear response of liquids in an acoustic resonance region by the method of nondegenerate four-wave interaction, Kvantovaya Elektronika, Moskva (Sov. J. Quantum Electron.) 13, no.7 (16, no.7), 1328–1335 (872–7) (July 1986). 9. Kaiser, W., and Maier, M., Stimulated Rayleigh, Brillouin and Raman spectroscopy, Laser Handbook, Vol. 2, Arecchi, F. T.. and Schulz-Dubois, E. O., Eds. (North-Holland Publishing, Amsterdam, 1972), p. 1115. 10. Pohl, D., and Kaiser, W., Time-resolved investigations of stimulated Brillouin scattering in transparent and absorbing media: determination of phonon lifetimes, Phys. Rev. B (Solid State) 1, 31–43 (1 Jan. 1970). 11. MacPhail, R. A., and Grubbs, W. T., Cw stimulated Brillouin gain spectroscopy of liquids, supercooled liquids, and glasses, Quantum Electronic Laser Science Conference (QELS), Anaheim, CA (May 10–15, 1992). 12. Volynkin, V. M., Gratsianov, K. V., Kolesnikov, A. N., Kruzhilin, Yu I., Lyubimov, V. V., Markosov, S. A., Pankov, V. G., Stepanov, A. I., and Shklyarik, S. V., Reflection by stimulated Brillouin scattering mirrors based on tetrachlorides of group IV elements, Kvantovaya Elektronika, Moskva (Sov. J. Quantum Electron.) 12, 2481–2 (1641–1642) (Dec. 1985). 13. Jain, V. K., and Whittenburg, S. L., Rayleigh-Brillouin light scattering studies of neat pyridine, J. Phys. Chem., 92, 2023–2027 (7 April 1988). 14. Amimoto, S. T., Gross, R. W. F., Garman-DuVall, L., Good, T. W., and Piranian, J. D., Stimulated-Brillouin-scattering properties of SnCl4, Optics Lett. 16, 1382–1384 (15 Sept. 1991). 15. Anikeev, I. Yu, Gordeev, A. A., Zubarev, I. G., Mironov, A. B., and Mikhailov, S. I., Gain and lifetime of acoustic phonons under conditions of stimulated Brillouin scattering in titanium tetrachloride, Kvantovaya Elektronika, Moskva (Sov. J. Quantum Electron.) 12, no.5 (15, no.5), 1081–3 (712–713) (May 1985). 16. Fleury, P. A., and Chiao, R. Y., J. Acoust. Soc. Am. 39, 751 (1966). 17. Eichler, H. J., Konig, R., Menzel, R., Patzold, H., and Schwartz, J., SBS reflection of broad band XeCl excimer laser radiation: comparison of suitable liquids, J. Phys. D (Appl. Phys.) 25, 1161–1168, 14 (Aug. 1992). 18. Azzeer, A. M., Masilamani, V., Salhi, M. S., and Al-Dwayyan, A., Phase conjugation by stimulated scattering from organic liquids, Arab. J. Sci. Eng. 17, 245–252 (April 1992).

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Section 5: Liquids

423

5.6 Magnetooptic Properties The following tables and figure are from Munin, E., Magnetooptic materials: organic and inorganic liquids, Handbook of Laser Science and Technology, Suppl. 2: Optical Materials (CRC Press, Boca Raton, 1995), p. 403. 5.6.1 Verdet Constants of Inorganic Liquids Verdet Constants V of Inorganic Liquids Liquid

λ(nm)

AsCl3 COCl2 D2 O

589 589 578 589 578 589 589 578 589 589 578 578 589 589 589 589 589 589 578 578 578

H2 O N2 NH3 O2 Pa PBr3 PCl3 P4S Sa SO2 SbCl5 S2Cl2 SiCl4 SnCl4 TiBr4 TiCl4

T(°C)

n

V(rad/T⋅m)

1.60 3 19.7 19.7 11.5 10 –195.5 –40 –182.5 33 20 26 16 114 –10 16 16 16 28 46 17

12.4 3.93 3.819 3.656 3.971 3.811 1.21 5.47 2.27 38.7 17.6 8.78 32.0 23.5 5.23 20.5 12.2 5.50 13.0 –15.4 –4.80

1.35 2.07 1.70 1.511 1.93 1.39

1.516 1.612

Ref. 1 1 1 1 1 1 2 3 2 1 1 1 2 1 2 2 2 2 1 5 6

aFused.

5.6.2 Verdet Constants of OrganicLiquids Verdet Constants V of Organic Liquids (from Ref. 7) Formula CCl4 CHCl3 CH2Br3 CH2O2 CH2Cl2 CH2Br2 CH2I2 CH3Cl CH3Br CH3I CH4O CH3O2N

© 2003 by CRC Press LLC

Name

λ (nm)

T(°C)

V (rad/T m)

tetrachloromethane trichloromethane tribromomethane formic acid

589 589 589 589

25.1 20.0 17.9 20.8

4.65 4.72 9.10 3.04

dichloromethane dibromomethane diiodomethane monochloromethane monobromomethane monoiodomethane methyl alcohol mononitromethane

589 589 589 589 589 589 589 589

11.9 15.9 15.0 23 1.5 19.5 18.7 9.9

4.65 7.97 4.39 3.99 5.93 9.74 2.79 2.40

424

Handbook of Optical Materials Verdet Constants V of Organic Liquids (from Ref. 7)—continued

Formula C2H3Br C2 H4 O C2 H4 O C2 H4 O2 C2 H4 O2 C2H4Cl2 C2H4Cl2 C2H4Br2 C2H5Cl C2H5Br C2 H5 I C2 H6 O C2 H6 O2 C2 H6 S C2H2O2Cl2 C2H3O2Cl C2H3O2Cl3 C2 H5 O2 N C3 H4 O C3 H4 O3 C3 H6 O C3 H6 O C3 H6 O C3 H6 O2 C3 H6 O2 C3 H6 O2 C3H7Cl C3H7Cl C3H7Br C3H7Br C3 H7 I C3 H7 I C3 H8 O C3 H8 O C3 H8 O3 C3 H9 N C3 H5 O9 N3 C3 H7 O2 N C4 H6 C4 H8 C4 H8 C4 H8 C4H10 C4H10 C4 H4 O C4 H4 S C4 H6 O3

© 2003 by CRC Press LLC

λ (nm)

T(°C)

V (rad/T m)

vinylbromide ethyleneoxide (1,2-epoxiethane) acetaldehyde (ethanal) acetic acid

589 589 589 589

7.8 8.0 16.3 21.0

6.11 2.68 2.91 3.04

methylformate 1,1-dichloroethane 1,2-dichloroethane 1,2-dibromoethane monochloroethane monobromoethane monoiodoethane ethyl alcohol glycol (1,2-ethanediol) ethylmercaptan dichloroacetic acid chloroacetic acid (cloroethanoic acid) chloralhydrate mononitroethane acrolein (propenal) pyruvic acid (2-oxopropanoic acid) allyl alcohol propyl alcohol (1-propanol) acetone (2-propanone) propionic acid (propanoic acid) formic acid ethyl ester (ethylmethanoate) acetic acid methyl ester (methyl acetate) propylchloride (1-chloropropane) isopropylchloride (2-chloropropane) propylbromide (1-bromopropane) isopropylbromide (2-bromopropane) propyliodide (1-iodopropane) isopropyliodide (2-iodopropane) n-propyl alcohol (1-propanol) isopropyl alcohol (2-propanol) glycerine (1,2,3-propanetriol) n-propylamine nitroglycerine 1-nitropropane 1,3-butadiene (erythrene) 1-butene (a-butylene) cis-2-butene (b-butylene) trans-2-butene butane isobutane (2-methylpropane) furan (furfuran) thiophene (thiofuran) acetic anhydride (ethanoic anhydride)

589 589 589 589 589 589 589 589 589 578 589 589 589 589 578 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589

16.5 14.4 14.4 15.2 5.0 19.7 18.1 16.8 15.1 16.0 13.5 64.5 54.6 10.2 20.0 14.5 18.3 13.6 20 20.3 18.8 20.0 16.1 17.2 19.2 17.1 18.1 26.3 15.6 20.0 16.0 9.6 13.5 18.9 15.0 15.0 15.0 15.0 15.0 15.0 20.0 20.0 20.0

2.79 4.39 4.80 7.74 3.96 5.29 8.58 3.29 3.64 5.38 4.42 3.87 4.80 2.75 5.12 3.52 4.65 3.17 3.24 3.20 3.05 3.00 3.90 3.90 5.21 5.15 7.82 7.65 3.49 3.58 3.87 3.87 2.62 2.96 6.28 4.04 4.01 3.75 3.17 3.23 5.18 8.23 3.24

Name

Section 5: Liquids

425

Verdet Constants V of Organic Liquids (from Ref. 7)—continued Formula C4 H8 O2 C4 H8 O2 C4 H8 O2 C4H10O C4H10O C4H10O C4H10O C5 H6 C5 H8 C5 H8 C5 H8 C5H10 C5H10 C5H10 C5H12 C5H12 C5 H4 O2 C5 H5 N C5H10O2 C5H10O2 C5H14N2 C6 H6 C6H12 C6H14 C6H4Cl2 C6 H5 F C6H5Cl C6H5Br C6 H5 I C6 H6 O C6 H7 N C6H11Cl C6H12O3 C6H14O C6H14O C6H14O C6 H4 O4 N2 C6 H5 O2 N C7 H8 C7H14 C7H16 C7 H5 N C7H7Cl C7H7Cl C7H7Br C7H7Br C7 H8 O

© 2003 by CRC Press LLC

Name n-butyric acid (butanoic acid) ethyl acetate (ethyl ethanoate) propionic acid methyl ester ethyl ether (ethoxyethane) n-butyl alcohol (1-butanol) isobutyl alcohol (2-methyl-1-propanol) sec-butyl alcohol (methylethylcarbinol) cyclopentadiene 1,3-pentadiene isoprene (2-methyl-1,3-butadiene) cyclopentene 1-pentene isopentane (2-methyl-1-butane) cyclopentane pentane isopentane (2-methylbutane) furfural (2-furancarbonal) pyridine propionic acid ethyl ester acetic acid propylester cadaverine (1,5-pentanediamine) benzene cyclohexane hexane 1,4-dichlorobenzene (p-dichlorobenzene) fluorobenzene (phenylfluoride) chlorobenzene (phenylchloride) bromobenzene (phenylbromide) iodobenzene (phenyliodide) phenol (hydroxibenzene) aniline (aminobenzene) chlorocyclohexane (cyclohexylchloride) paraldehyde (paraacetaldehyde) 2-hexanol (butylmethylcarbinol) 3-hexanol (ethylpropylcarbinol) 2-methyl-3-pentanol 1,3-dinitrobenzene (m-dinitrobenzene) nitrobenzene toluene (methylbenzene) 1-heptene (a-heptylene) heptane benzonitrile (benzenecarbonitrile) o-chlorotoluene (2-chloro-1-methylbenzene) p-chlorotoluene (4-chloro-1-methylbenzene) o-bromotoluene (2-bromo-1-methylbenzene) p-bromotoluene(4-bromo-1-methylbenzene) o-cresol (o-methylphenol)

λ (nm)

T(°C)

V (rad/T m)

589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 578 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589

18.8 20.0 20.0 20.0 20.0 17.7 20.0 15.0 15.0 15.0 15.0 15.0 15.0 20.0 15.0 15.0 20.0 11.9 20.0 15.7 14.7 15.0 20.0 15.0 64.5 19.0 15.0 15.0 15.0 39.0 15.0 13.0 17.3 20.0 20.0 20.0 17.1 15.0 15.0 18.0 15.0 15.7 15.4 15.2 16.7 39.0 16.0

3.35 3.14 3.11 3.17 3.58 3.69 3.69 5.88 6.05 6.05 4.42 4.04 4.04 3.58 3.35 3.40 5.99 7.50 3.29 3.29 4.45 8.73 3.61 3.49 7.82 7.30 8.49 9.48 11.8 9.34 12.2 4.25 3.46 3.81 3.78 3.84 6.31 6.31 7.88 4.16 3.58 7.97 8.58 7.71 8.96 8.38 8.93

426

Handbook of Optical Materials Verdet Constants V of Organic Liquids (from Ref. 7)—continued

Formula C7 H8 O C7 H8 O C7 H9 N C7 H9 N C7 H9 N C7H14O C7H16O C7H16O C7H16O C7 H7 O2 N C7 H7 O2 N C8H10 C8H10 C8H10 C8H10 C8H16 C8H16 C8H18 C8H18O C8H18O C8H18O C9H12 C9H12 C9H12 C9H12 C9H20 C10H8 C10H20 C10H22 C10H7Cl C10H7Br C10H8O C10H9N C10H12O2 C10H12O2 C10H12O2 C10H12O2 C10H12O2 C10H12O2 C10H12O2 C10H18O C10H18O C10H18O4 C10H10O6 C10H20O C11H24 C12H26

© 2003 by CRC Press LLC

Name m-cresol (m-methylphenol) p-cresol (p-methylphenol) o-toluidine (o-methylaniline) m-toluidine (m-methylaniline) p-toluidine (p-methylaniline) enanthaldehyde (heptanal) 1-heptanol (n-heptylalcohol) 2-heptanol (amylmethylcarbinol) 3-heptanol (butylethylcarbinol) o-nitrotoluene p-nitrotoluene ethylbenzene (phenylethane) o-xilene (1,2-dimethylbenzene) m-xilene (1,3-dimethylbenzene) p-xilene (1,4-dimethylbenzene) 1-octene (a-octylene) 2-octene (b-octylene) octane 1-octanol (n-octyl alcohol) 2-octanol (methylhexylcarbinol) 3-octanol (ethylamylcarbinol) o-ethyltoluene (1-ethyl-2-ethylbenzene) m-ethyltoluene (1-ethyl-3-ethylbenzene) p-ethylbenzene (1-ethyl-4-ethylbenzene) mesitylene (1-3-5-trimethylbenzene) nonane naphthalene 1-decene (n-decylene) decane 1-chloronaphthalene (a-chloronaphthalene) 1-bromonaphthalene (a-bromonaphthalene) b-naphthol (2-hydroxinaphthalene) 1-naphthylamine (a-naphthylamine) isoeugenol (4-propenylguaiacol) eugenol (4-allylguaiacol) benzoic acid propylester (n-propylbenzoate) o-toluic acid ethyl ester p-toluic acid ethyl ester a-toluic acid ethyl ester (ethylphenylacetate) methylsaliciclic acid ethylester a-terpineol Citronellal dipropylsuccinate tartaric acid dipropyl ester (propyltartrate) menthol undecane dodecane

λ (nm)

T(°C)

589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589 578 578 578 589 589 589 589 589 589 589 589 589 589 589 589 589 589 589

17.9 17.0 17.3 15.0 50.0 16.2 12.6 20.0 20.0 18.0 54.3 15.0 15.0 15.0 15.0 15.0 15.0 15.0 20.0 20.0 20.0 15.0 15.0 15.0 15.0 15.0 89.5 21.0 15.0 18.0 20.0 13.6 32.6 19.3 15.4 15.4 15.2 15.0 14.0 18.6 16.0 14.5 11.4 15.4 45.2 20.5 21.5

V (rad/T m) 8.41 8.46 11.0 10.4 9.80 3.67 3.87 3.84 3.99 6.28 5.73 8.14 7.62 7.18 7.16 4.19 4.16 3.67 3.87 3.90 3.87 6.75 8.46 6.89 6.63 3.72 13.0 4.22 3.78 14.3 15.1 14.0 19.9 10.33 8.38 6.40 6.54 6.34 6.54 7.27 4.54 4.39 3.55 3.61 4.07 3.81 3.84

Section 5: Liquids

427

Verdet Constants V of Organic Liquids (from Ref. 7)—continued Formula

Name

C14H10 C16H34 C18H14 C18H22

phenanthrene hexadecane 1,2-diphenylbenzene 1,6-diphenylhexane

5.6.3

λ (nm)

T(°C)

V (rad/T m)

578 589 589 589

100.0 15.0 15.0 20.0

17.0 3.93 13.7 8.00

Dispersion of the Verdet Constants Dispersion of the Verdet Constant V in the Near Ultraviolet and Visible

Formula

Name

347.1

CH3NO2 CH4O C2 H4 O2 C2 H6 O C3 H6 O H2 O CCl4 C6H5NO2 C7 H8 C6 H6 CS2

nitromethane methanol acetic acid ethanol acetone water carbon tetrachloride nitrobenzene toluene benzene carbon disulfide

8.46 9.75 10.5 10.5 12.4 15.4 31.4

457.9 4.07 4.68 5.29 5.61 5.64 6.78 8.03 10.7 14.3 16.0 22.2

V(λ)(rad/T·m), λ(nm) 488.0 514.5 580.0 3.58 4.16 4.65 4.95 4.95 5.85 7.04 9.60 12.2 13.6 19.2

3.26 3.69 4.13 4.45 4.45 5.24 6.31 8.41 10.7 12.1 16.8

Liquids are listed in increasing order of the Verdet constant.8

Dispersion of the Verdet constant for several liquids listed in the table above

© 2003 by CRC Press LLC

2.60 3.00 3.29 3.49 3.46 4.10 4.95 6.66 8.09 9.13 12.9

632.8 2.15 2.40 2.71 2.90 2.84 3.35 4.04 5.41 6.60 7.39 10.4

694.3 1.67 1.88 2.09 2.30 2.79 2.66 3.23 4.33 5.24 5.93 8.26

428

Handbook of Optical Materials Dispersion of the Verdet Constant V in the Near Infrared2

Formula H2 O SnCl4 TiCl4 CCl4 CS2 CHCl3 CH3I CH2I2 CH4O C2 H5 I C2 H6 O C3 H6 O C4H10O C4H10O C6 H6 C6H5NO2 C7 H8 C7H16 C8H10 C10H7Br

Name water tin tetrachloride titanium tetrachloride carbon tetrachloride carbon disulfide chloroform methyl iodide methylene iodide methyl alcohol ethyl iodide ethyl alcohol acetone ethyl ether n-butyl alcohol benzene nitrobenzene toluene n-heptane xilene α-bromonaphthalene

0.6 3.67 11.9 –3.81 4.68 11.5 4.51 9.25 13.8 2.71 8.12 3.23 3.00 2.97 3.49 8.17 6.08 7.50 3.46 6.75 13.4

Vλ) (rad/T⋅m), λ(µm) 0.8 1.0 1.5 2.04 6.31 –1.45 2.59 6.23 2.50 5.18 7.80 1.48 4.39 1.75 1.77 1.69 1.95 4.45 3.32 3.99 1.92 3.72 7.13

1.28 3.93 –0.756 1.66 3.93 1.63 3.26 4.92 0.931 2.82 1.11 1.16 1.05 1.25 2.76 2.12 2.53 1.25 2.33 4.42

2.0

(0.844 at 1.25 _m) 1.75 0.902 –0.291 –0.145 0.727 0.378 1.69 0.902 0.698 0.378 1.40 0.785 2.12 1.16 0.553 0.378 1.19 0.698 0.553 0.291 0.495 0.262 0.465 0.233 0.524 0.407 1.13 0.640 0.902 0.524 1.02 0.582 0.524 0.262 1.02 0.553 1.83 1.02

Temperature = 23ºC.

References: 1. Mallemann, R. de, Tables des constantes selectionnées, pouvoir rotatoire magnétique (effet Faraday) (Hermann & Cie, Paris, 1951). 2. International Critical Tables of Numerical Data, Physics, Chemistry and Technology (McGraw Hill, New York, 1929). 3. Mallemann, R. de, and Gabiano, P., Pouvoir rotatoire magnétique de l’azote ammoniacal, Comptes Rendus 200, 823 (1935). 4. Mallemann, R. de, and Suhner, F., Rotativités du chlorure de silicium et du cyclohexane vaporisés, Comptes Rendus 227, 804 (1948). 5. Fritsch, P., Pouvoir rotatoire magnétique du tétrabromure de titane, Comptes Rendus 217, (1943). 6. Mallemann, R. de, and Suhner, F., Pouvoir rotatoire magnétique du chlorure titanique vaporisé, Comptes Rendus 227, 546 (1948). 7. Handbook of Chemistry and Physics, 72nd edition (CRC Press, Boca Raton, FL, 1991). 8. Villaverde, A. B., and Donatti, D. A., Verdet constant of liquids; measurements with a pulsed magnetic field, J. Chem. Phys. 71, 4021 (1979).

© 2003 by CRC Press LLC

Section 5: Liquids

429

5.7 Commercial Optical Liquids Cargille Refractive Index Liquids are examples of commercially available liquids having a wide range of known property values for optical applications. Specific refractive index and dispersion values are maintained by exacting quality control. These liquids are sold individually or in sets covering certain refractive index ranges at 25ºC and 589.3 nm: Series AAA Series AA Series A Series B Series M Series H Series EH Series FH Series GH

1.300–1.395 1.400–1.458 1.460–1.640 1.642–1.700 1.705–1.800 1.81–2.00 2.01–2.11 2.12–2.21 2.22–2.31

Other Cargille liquids are available with special properties of dispersion, transmittance, compatibility, fluorescence, stability, toxicity, etc. for special applications. Whereas evaporation of a pure substance will not change the index of refraction, liquids that are mixtures of substances with different indices of refraction and different volatilities change refractive index through evaporation. Typical optical liquids transmit well in the visible, begin to absorb in the near-UV and are characterized by a series of absorption bands from 800 to 1600 nm. Exceptions to this pattern are Cargille Laser Liquids Code 433 and Code 3421 which do not reach a UV cutoff until below 240 nm and which are highly transparent, without peaks and valleys in the IR out to 2500 nm. The best optical liquids with refractive index above 1.810 are arsenic based, highly toxic, and corrosive (Cargille Refractive Index Liquids Series H, EH, FH, and GH). Properties of representative Cargille optical immersion and laser liquids are given in the following three tables. For a discussion of the optical, physical, and chemical properties of liquids, see R. Sacher and W. Sacher, Optical liquids, Handbook of Laser Science and Technology, Suppl. 2, Optical Materials (CRC Press, Boca Raton, FL, 1995).

© 2003 by CRC Press LLC

430

Properties of representative Cargille immersion liquids liquid

Formula code Refractive index range for code (nD 25°C) Refractive index @25°C and percent transmittance through 1 cm at representative wavelengths (nm)

1

2

1.433 1.461 67% 73% 365 l 1.418 1.444 98% 98% 404.7 h 1.4127 1.4382 99% 99% 486.1 F 1.4054 1.4306 100% 100% 589.3 D 1.4000 Calibrated 1.4250 at nD 25°C 100% 100% ±0.0005 656.3 C 1.3977 1.4227 100% 100% 1064.8 1.392 1.417 96% 96% 1300 1.390 1.415 97% 94% 1550 1.390 1.415 75% 79% Abbe ν, (nD – 1)/(nF – nC) 52 54 Temp. Coeff., dnD/dt (°C) –.000412–.000402–.000388 Viscosity, cSt, @25°C 10 13 Density g/cm3 @25°C 0.930 0.887 Thermal exp. cm3/cm3/°C 0.0010 0.0009 0.0008 Flash point, °C >138 Pour point, °C <–7 Boiling point, °C >200 Toxicity (request MSDS) Low

© 2003 by CRC Press LLC

3

4

S1050 1.400–1.458 290

5

6

7

8

1.499 82% 1.478 99% 1.4719 99% 1.4637 100% 1.4580 100% 1.4557 100% 1.450 95% 1.449 90% 1.448 84% 57 –.000393 17 0.831 0.0008

– 0% 1.500 17% 1.4920 85% 1.4819 98% 1.4750 100% 1.4722 100% 1.465 96% 1.464 90% 1.463 84% 49 –.000401 22 0.855 0.0008

– 0% 1.531 1% 1.5214 67% 1.5086 96% 1.5000 99% 1.4966 100% 1.488 96% 1.487 90% 1.486 85% 42 –.000411 31 0.894 0.0008

– 0% – 0% 1.5625 49% 1.5460 92% 1.5350 99% 1.5307 100% 1.520 97% 1.518 91% 1.517 86% 35 –.000421 50 0.948 0.0007 >138 <–7 >262 Low

9

10

40BN 1.571–1.656

5040 1.459–1.570

11

12

BNDN 1.657–1.698

–

–

–

–

0%

0%

0%

0%

–– 0%0%

–

–

1.711

1.750

1.776

–

0%

0%

1%

50%

12%

0%

1.6036

1.6437

1.6832

1.7174

1.7408

1.7690

35%

45%

58%

72%

17%

2%

1.5833

1.6170

1.6504

1.6794

1.7001

1.7250

89%

90%

90%

90%

64%

40%

1.5700

1.6000

1.6300

1.6560

1.6750

1.6980

99%

99%

99%

99%

98%

96%

1.5648

1.5936

1.6224

1.6473

1.6657

1.6881

100%

100%

100%

100%

99%

99%

1.552

1.578

1.605

1.628

1.645

1.666

97%

98%

99%

99%

99%

99

1.550

1.576

1.602

1.624

1.641

1.662

91%

93%

94%

96%

96%

97%

1.549

1.574

1.600

1.622

1.639

1.659

86%

89%

92%

94%

94%

94%

31 –.000438 82 1.003 0.0007

26 –.000454 29 1.184 0.0006

22 –.000468 10 1.359 0.0006 >113 <6 >279 Moderate

20 –.000473 4 1.511 0.0006

2019 –.000479 44 1.608 0.0006 >93 <6 >279 Moderate

1.722

Handbook of Optical Materials

Representative

Representative liquid (cont.) 1

2

Compatible (c) and incompatible (i) Acrylic Polycarbonate Polyethylene Polypropylene Polystyrene

c na c c c

c c c c i

c i c c i

c na c c i

Latex rubber Neoprene rubber Silicone rubber Aluminum Copper Steel Color stability in sun

i c i c c c Very high

i i i (some) c c c Moderate

i i c c i c Low to moderate

i i c c i i Low

Best solvents

3

4

5

6

ethyl ether, naphtha, xylene, toluene, heptane, methylene chloride, turpentine

7

8

9

10

11

12

Acetone, ethyl ether, naphtha, xylene, methylene chloride, toluene, heptane, turpentine

na = not available; MSDS=materials specification data sheet.

Section 5: Liquids

Table from Sacher, R. and Sacher, W., Optical Liquids, Handbook of Laser Science and Technology, Supplement 2:Optical Materials (CRC Press, Boca Raton, FL, 1995), p. 97.

431

© 2003 by CRC Press LLC

432

Properties of representative special Cargille optical immersion liquids liquid

Formula code Refractive index range for code (nD 25°C) Refractive index @25°C and percent transmittance through 1 cm at representative wavelengths (nm) Calibrated at nD 25°C ±0.0005

290 365 404.7 486.1

589.3 656.3 1064.8 1300 1550

Abbe ν, (nD – 1)/(nF – nC) Temp. Coeff., dnD/dt (°C) Viscosity, cSt @25°C Density, g/cm3 @25°C Thermal Exp., cm3/cm3/°C Flash point, °C Pour point, °C Boiling point, °C Toxicity (request MSDS)

© 2003 by CRC Press LLC

1

2

3

4

4550* 50350* 4501 1.452–1.457 1.452–1.470 1.458–1.475 1.489 56% l 1.471 100% h 1.4655 100% F 1.4577 100% 1.4520 D 100% C 1.4497 100% 1.444 94% 1.442 88% 1.442 81% 57 43 –.000394 11 0.816 0.00080.0010 >135 <2 >244 None

– 0% 1.500 53% 1.4902 96% 1.4779 100% 1.4700 100% 1.4670 100% 1.460 95% 1.459 85% 1.458 84% 58 –.000488 0.4 0.840 0.0007 >47 <2 >178 Moderate

1.518 72% 1.496 99% 1.4894 100% 1.4809 100% 1.4750 100% 1.4726 100% 1.467 93% 1.466 87% 1.465 81% 42 –.000360 112 0.867 0.0007 >138 <–7 >262 None

5

6

1160 1.482–1.538 – 0% 1.512 90% 1.5024 95% 1.4902 99% 1.4820 100% 1.4788 100% 1.471 97% 1.469 92% 1.468 87% 38 –.000348 41 0.969 0.0007

– 0% 1.535 90% 1.5237 95% 1.5094 99% 1.5000 100% 1.4963 100% 1.487 97% 1.486 93% 1.485 88% 32 –.000349 41 1.016 0.0006 >199 <–45 >370 Low

– 0% 1.584 90% 1.5686 95% 1.5501 99% 1.5380 100% 1.5333 100% 1.522 97% 1.520 94% 1.519 90% 24 –.000350 41 1.115 0.0007

7

8

9

10

50BN*

5095

1.459–1.656

1.458–1.580

– – – – 0% 0% 0% 0% 1.673 1.715 1.536 1.647 75% 71% 94% 85% 1.6481 1.6853 1.5244 1.6243 80% 76% 98% 95% 1.6185 1.6511 1.5097 1.5972 93% 92% 100% 100% 1.6000 1.5000 1.6300 1.5800 99% 99% 100% 100% 1.5931 1.6221 1.4962 1.5735 100% 100% 100% 100% 1.577 1.604 1.487 1.558 98% 99% 96% 98% 1.574 1.601 1.485 1.555 94% 95% 92% 95% 1.573 1.599 1.484 1.554 91% 93% 86% 90% 22 37 25 58 –.000446 –.000458 –.000398 –.000416 6 5 14 10 1.322 1.426 0.881 0.981 0.0007 0.0008 0.0007 0.0008 >113 >138 <6 <–7 >262 >262 ModerateModerate Low

11

12

OHGL*

OHZB

1.333–1.470 1.333–1.556

1.503 59% 1.488 97% 1.4832 98% 1.4757 100% 1.4700 100% 1.4676 100% 1.461 80% 1.460 58% – 0% 33 –.000377 679 1.254 0.0006 >165 <18 >212 Moderate

– 0% 1.598 78% 1.5847 91% 1.5679 97% 1.5560 99% 1.5512 100% 1.539 93% 1.537 60% – 0% –.000330 9 2.498 None <1 >212

Handbook of Optical Materials

Representative

Representative liquid (cont.) 1

2

3

4

5

6

7

8

9

10

11

12

Compatible (c) and incompatible (i) Acrylic Polycarbonate Polyethylene Polypropylene Polystyrene

c c c c c

na na na na na

c c c c c

c c c c i

c i c c i

c c c c i

c c c c c

c na c c c

Latex rubber Neoprene rubber Silicone rubber Aluminum Copper Steel Color stability in sun

i c i (some) c c c Very high

na na na na na na Moderate

i c i (some) c c c Very high

c i c c c c High

i i c c c c Low to moderate

i i i (some) c c c Moderate

c c c i i i na

c c c i i c Moderate

Water, ethanol

Water, ethanol, acetone

Best solvents

Ethyl ether, naphtha, xylene, methylene chloride toluene, heptane, turpentine

Ethanol, acetone, ethyl, ether, naphtha, xylene methylene chloride, toluene

Ethyl ether, naphtha xylene, methylene chloride toluene, heptane, turpentine

*=very low fluorescence 356 nm excitation; na = not available; MSDS = materials specification data sheet.

Section 5: Liquids

Table from Sacher, R. and Sacher, W., Optical Liquids, in Handbook of Laser Science and Technology, Supplement 2:Optical Materials (CRC Press, Boca Raton, FL, 1995), p. 97.

433

© 2003 by CRC Press LLC

434

Properties of representative Cargille laser liquids liquid

Formula code Refractive index range for code (nD 25°C) Refractive index @25°C and percent transmittance through 1cm at representative wavelengths (nm)

1 433 1.295–1.319

1.31 34% 365 l 1.301 100% 486.1 F 1.2970 100% 1.2950 589.3 D 100% Calibrated 656.3 C 1.2941 at nD 25°C 100% ±0.0002 1064.8 1.292 100% 1300 1.291 100% 1550 1.291 100% 2500 1.29 89% Abbe ν: (nD – 1)/(nF – nC) 101 100 Temp. Coeff., dnD/dt (°C) –.000351 Viscosity, cSt @25°C 3 Density, g/cm3 @25°C 1.896 Thermal Exp., cm3/cm3/°C 0.00120.0010 Flash point, °C None Pour point, °C <–20 Boiling point, °C >174 Toxicity (request MSDS) Low

© 2003 by CRC Press LLC

240

2

3

3421 1.320–1.400 1.33 1.44 11% 22% 1.327 1.414 100% 100% 1.3222 1.4041 100% 100% 1.3200 1.4000 100% 100% 1.3190 1.3983 100% 100% 1.316 1.394 100% 100% 1.316 1.393 100% 100% 1.315 1.392 100% 100% 1.31 1.39 90% 95% 69 51 –.000326 –.000346 30 18 1.982 1.903 0.0009 0.0010 None <–20 >215 None

4 S1056 1.398–1.459

5

6

7

5610 1.460–1.535

1.45 – 8% 0% 1.418 1.483 98% 95% 1.4055 1.4631 100% 100% 1.4000 1.4550 100% 100% 1.3977 1.4518 100% 100% 1.392 1.444 96% 96% 1.390 1.442 97% 95% 1.390 1.441 75% 74% – – 0% 0% 40 38 –.000412 –.000414 10 22 0.933 0.981 0.0009 0.0008 >121 <–70 >149 Low

– 0% 1.507 95% 1.4840 100% 1.4750 100% 1.4713 100% 1.462 96% 1.460 95% 1.459 75% – 0%

5610 1.460–1.535 290

8

9

10

1057 1074 1.535–1.557 1.558–1.578

1.579 1.633 – 42% 34% 0% 365 l 1.537 1.579 1.608 93% 92% 80% 404.7 h 1.5252 1.5639 1.5909 96% 95% 97% 486.1 F 1.5102 1.5457 1.5704 99% 99% 99% 589.3 D 1.5000 1.5340 1.5570 100% 100% 100% 656.3 C 1.4960 1.5295 1.5518 100% 100% 100% 1064.8 1.486 1.519 1.539 96% 97% 99% 1300 1.484 1.517 1.537 95% 95% 95% 1550 1.483 1.516 1.535 77% 80% 84% 35 33 30 29 –.000407 –.000397 –.000383 –.000414 46 125 484 40 1.011 1.049 1.101 1.062 0.0008 0.0007 0.0007 0.0007 >121 >121 >221 <–22 <–22 <–20 >149 >149 >288 None None None

11

12

5763 1.579–1.630

– – – 0% 0% 0% 1.631 1.663 1.705 80% 15% 2% 1.6139 1.6416 1.6795 92% 82% 70% 1.5923 1.6163 1.6491 97% 96% 96% 1.5780 1.6000 1.6300 99% 99% 99% 1.5724 1.5937 1.6229 100% 100% 100% 1.559 1.579 1.606 100% 99% 99% 1.556 1.576 1.603 97% 96% 95% 1.555 1.574 1.602 83% 87% 92% 27 24 –.000426 –.000425 –.000423 177 454 1734 1.092 1.135 1.196 0.0006 0.0006 >243 >243 <–6 <5 >288 >476 None Low

Handbook of Optical Materials

Representative

Representative liquid (cont.) 1 Compatible (c) and incompatible (i) Acrylic Polycarbonate Polyethylene Polypropylene Polystyrene Latex Rubber Neoprene Rubber Silicone Rubber Aluminum Copper Steel Color stability in sun Best solvents chloride,

2

3

4

5

6

7

8

9

10

11

12

c na c c c

c na c c c

c c c c c

c c c c c

c c c c c

c c c c c

c c c c c

c c c c c

c c c c c c

c c i (some) i c c

c c i (some) c c c

c c i (some) c c c

c c i (some) c c c

c c c c c c

c c c c c c

c c i (some) c c c

Very high

Very high

Very high

Very high

Very high

Very high Very high

Low

Freon TF and other

Ethyl ether,

Acetone, ethyl, ether,

Acetone, ethyl, ether, xylene, methylene

chlorofluorocarbons; also remove with soap and water

naphtha, xylene, methylene Chloride

naphtha, xylene, methylene chloride

toluene, turpentine

na = not available; MSDS=materials specification data sheet.

Section 5: Liquids

Table from Sacher, R. and Sacher, W., Optical Liquids, in Handbook of Laser Science and Technology, Supplement 2:Optical Materials (CRC Press, Boca Raton, FL, 1995), p. 97.

435

© 2003 by CRC Press LLC

Section 6: Gases

6.1 6.2 6.3 6.4 6.5 6.6

Introduction Physical Properties of Selected Gases Index of Refraction Nonlinear Optical Properties Magnetooptic Properties Atomic Resonance Filters

© 2003 by CRC Press LLC

Section 6: Gases

439

Section 6 GASES 6.1 Introduction Gases included in this section: Hydrogen, H2 Deuterium, D2 Nitrogen, N2 Oxygen, O2 Carbon monoxide, CO Carbon dioxide, CO2 Nitrous oxide, N2O Nitric oxide, NO Methane, CH4 Ammonia, NH3

Noble gases Helium, He Neon, Ne Argon, Ar Krypton, Kr Xenon, Xe

Composition of Air Molecular weights and assumed fractional-volume composition of sea-level dry air: Gas

species

Molecular weight (kg/kmol)

Fractional volume (percent)

N2

28.0134

0.78084

O2

31.9988

0.209476

Ar

39.948

0.00934

CO2

44.00995

0.000314

Ne

20.183

He

4.0026

0.00001818 0.00000524

Kr

83.80

0.00000114

Xe

131.30

0.000000087

CH4 H2 N2O

16.04303 2.01594 44.0129

0.000002 0.0000005 0.0000005

From the “U.S. Standard Atmosphere, 1976,” National Oceanic and Atmospheric Administration, National Aeronautics and Space Administration and the United States Air Force, 1976. The U.S. Standard Atmosphere, 1976, is an idealized, steady-state representation of the earth’s atmosphere from the surface to 1000 km, as it is assumed to exist in a period of moderate solar activity The air is assumed to be dry, and at heights sufficiently below 86 km, the atmosphere is assumed t o be homogeneously mixed with a relative-volume composition leading to a mean molecular weight.

© 2003 by CRC Press LLC

440

Handbook of Optical Materials

Mean Free Path of Gases Gas Argon Helium Hydrogen

Pressure 1 mm Hg (293 K) 4.73 x 10-5 m

Pressure 760 mm Hg (273 K)

Collision frequency (293 K)

Gas

6.30 x 10-8 m

9150 x 106

Ammonia

13.32

17.4

Argon

4000

8.81

11.1

Carbon monoxide

5100

Carbon dioxide

6120

Helium

4540

Krypton

3.63

4.8

Neon

9.4

12.4

Nitrogen

4.5

5.9

Hydrogen

10060

Oxygen

4.82

6.3

Nitrogen

5070

Xenon

2.62

3.5

Oxygen

4430

6.2 Physical Properties of Selected Gases Values of all properties in this section are for atmospheric pressure, P = 101.325 kPa. Physical Properties

Gas

Specific gravity (kg/m3)

Molecular mass

Mole fraction solubility* in H 2 O (× 1 0 5 )

Noble gases He

0.17846

4.0026

0.6997

Ne

0.90035

20.180

0.8152

Ar

1.7839

39.948

2.519

Kr

3.745

83.80

4.512

Xe

5.8971

131.29

7.890

Other gases H2 D2

0.08988 —

2.01588

1.411

4.0282

1.460

O2

1.42897

31.9988

2.293

CO

1.2504

28.0104

1.774

N2

1.2506

28.0134

1.183

CO2

1.97693

44.0098

6.1.5

CH4

0.5547

16.0428

2.552

NO

1.3402

30.0061

3.477

N2O

1.977

44.0129

43.67

NH3

0.7710

17.031

—

air

1.205

28.966

—

* Mole fraction solubility is at 298 K.

© 2003 by CRC Press LLC

Section 6: Gases

441

Physical Properties—continued Gas

Ionization potential (eV)

Permittivity ε

Polarizability 1 0 – 2 4 cm 3

Dipole moment µ/ D

—

0

0.15 1

Dielectic strength*

Noble gases He

24.5874

1.0000650

Ne

21.5645

1.00013

0.3956

0

0.16,2 0.251

Ar

15.7596

1.0005172

1.6411

0

0.18 2

Kr

13.9996

1.00078

2.4844

0

—

Xe

12.1299

1.00126

4.044

0

—

H2

15.4259

1.0002538

0.8042

0

D2

15.46

O2

12.07

Other gases

—

0.50 1,2

0.7954

0

1.0004947

1.5812

0

0.92 2

—

N2

15.581

1.0005480

1.7403

0

1.00

CO

14.014

1.00262

1.95

0.110

1.02,1 1.052

CO2

13.723

1.000922

2.911

0

0.82,2 0.881

CH4

12.71

1.00081

2.593

0

1.00,1 1.132

NO

9.264

1.00060

1.70

0.159

N2O

12.886

1.00104

3.03

0.161

NH3

10.2

1.00622

2.81

—

—

—

air

—

1.0005364

1.24 2 — 0.97 3 3.0 kV/mm4 ~0.5 V/mm5 1.4 kV/mm6

Values for the permittivity (dielectric constant) and the average electric dipole polarization for ground state molecules are for 293 K. Debye unit: 1 D = 3.33564 x 10-30 C m. * Relative to nitrogen. The dielectric strength (or breakdown voltage) of a material depends o n the specimen thickness, the electrode shape, and the rate of the applied voltage increase. Values are given for standard conditions.

References: CRC Handbook of Chemistry and Physics, 82nd edition, Lide, D. R., Ed. (CRC Press, Boca Raton, FL, 2001). Gas properties at other temperatures are also given in this reference. 1. Vijh, A. K., IEEE Trans. EI-12, 313 (1997). 2. Brand, K. P., IEEE Trans. EI-17, 451 (1982). 3. Shugg, W. T., Handbook of Electrical and Electronic Insulating Materials (Van Nostrand Reinhold, New York, 1986). 4. Encyclopedic Dictionary in Physics, Vedensky, B. A. and Vul, B. M., Eds. (Moscow, 1986). 5. Kubuki, M., Yoshimoto, R., Yoshizumi, K., Tsuru, S., and Hara, M., IEEE Trans. DEI-1, 305 (1994). 6. Al-Arainy, A. A., Malik, N. H., and Cureshi, M. I., IEEE Trans. EI-12, 313 (1997).

© 2003 by CRC Press LLC

442

Handbook of Optical Materials Physical Properties—continued

Gas

Heat capacity at 288 K C p (J/kg K)

Thermal conductivity κ(W/m K)

Viscosity at 300 K (µPa)

Noble gases He

0.1567*

5192

20.0

Ne

0.0498*

1030

Ar

0.0179*

519.2

22.9

Kr

0.0095*

247.0

25.6

Xe

0.0055*

158.3

23.2

32.1

Other gases H2

0.1869

14277

D2 0.0263

O2

9.0

7250

12.6

917

20.8

N2

0.0260

1043

17.9

CO

0.0250*

1031

17.8

CO2

0.0166

CH4

0.0341

2226

11.2

NO

0.0259

—

19.2

N2O

0.0174

—

15.0

NH3

0.0244

2091

air

0.0262

1005

843.2

15.0

— 18.6

* Low pressure limiting value. In general values differ by less than 1% at atmosphere pressure. Reference: CRC Handbook of Chemistry and Physics, 75th edition, Lide, D. R., Ed. (CRC Press, Boca Raton, FL, 1994). Values of properties at other temperatures are also given in this reference.

Thermal Conductivity at Different Temperatures Thermal Conductivity (mW/m K) Gas

100 K

200 K

300 K

400 K

500 K

600 K

222.3

252.4

Ref.

Noble gases He*

75.5

119.3

156.7

190.6

1

Ne*

22.3

37.6

49.8

60.3

69.9

78.7

1

Ar*

6.2

12.4

17.9

22.6

26.8

30.6

1,2

Kr*

3.3

6.4

9.5

12.3

14.8

17.1

1

Xe*

2.0

3.6

5.5

7.3

8.9

10.4

1

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Section 6: Gases

443

Thermal Conductivity (mW/m K)—continued Gas

100 K

200 K

300 K

400 K

186.9

230.4

500 K

600 K

Ref.

Other gases H2

68.6

131.7

O2

9.3

18.4

3

26.3

33.7

41.0

48.1

4

25.0

32.3

39.2

45.7

5

18.7

26.0

32.3

38.3

44.0

6

9.6

16.8

25.1

33.5

41.6

7

CH4

22.5

34.1

49.1

66.5

84.1

8,9

NO

17.8

25.9

33.1

39.6

46.2

10

N2O

9.8

17.4

26.0

34.1

41.8

10

18.4

26.2

33.3

39.7

45.7

11

CO* N2

9.8

CO2

air

9.4

* Low pressure limiting value. In general values differ by less than 1% at atmosphere pressure.

References: 1. Kestin, J. et al., Equilibrium and transport properties of the noble gases and their mixtures at low density, J. Phys. Chem. Ref. Data 13, 299 (1984). 2. Younglove, B. A. and Hanley, H. J. M., The viscosity and thermal conductivity of coefficients of gaseous and liquid argon, J. Phys. Chem. Ref. Data 15, 1323 (1986). 3. Assael, M. J., Mixafendi, S., and Wakeham, W. A., The viscosity of normal hydrogen in the limit of zero density, J. Phys. Chem. Ref. Data 15, 1315 (1986). 4. Younglove, B. A., Thermophysical properties of fluids. I. Argon, ethylene, parahydrogen, nitrogen, nitrogen trifluoride, and oxygen, J. Phys. Chem. Ref. Data 11, Suppl. 1 (1982). 5. Millat, J. and Wakeham, W. A., The thermal conductivity of nitrogen and carbon monoxide in the limit of zero density, J. Phys. Chem. Ref. Data 18, 565 (1989). 6. Stephen, K., Krauss, R., and Laesecke, A., Viscosity and thermal conductivity of nitrogen for a wide range of fluid states, J. Phys. Chem. Ref. Data 16, 993 (1987). 7. Vescovic, V. et al., The transport properties of carbon dioxide, J. Phys. Chem. Ref. Data 19 (1990). 8. Younglove, B. A. and Ely, J. F., Thermophysical properties of fluids. II. Methane, ethane, propane, isobutane, and normal butane, J. Phys. Chem. Ref. Data 16, 577 (1987). 9. Friend, D. G., Ely, J. F., and Ingham, H., Thermophysical properties of methane, J. Phys. Chem. Ref. Data 18, 583 (1989). 10. Ho, C. Y., Ed., Properties of Inorganic Fluids, CINDAS Data Series on Materials Properties, Vol. V-1 (Hemisphere Publishing Corp., New York, 1988). 11. Kadoya, K., Matsunagz, N., and Nagashima, A., Viscosity and thermal conductivity of dry air in the gaseous phase, J. Phys. Chem. Ref. Data 14, 947 (1985).

© 2003 by CRC Press LLC

444

Handbook of Optical Materials

Viscosity Viscosity in micropascal seconds (µ Pa s) Gas

100 K

200 K

300 K

400 K

500 K

600 K

Ref.

Noble gases He*

9.7

15.3

20.0

24.4

28.4

32.3

1

Ne*

14.4

24.3

32.1

38.9

45.0

50.8

1

Ar*

8.0

15.9

22.9

28.8

34.2

39.0

1,2

Kr*

8.8

17.1

25.6

33.1

39.8

45.9

1

Xe*

8.3

15.4

23.2

30.7

37.6

44.0

1

H 2*

4.2

6.8

9.0

10.9

12.7

14.4

3

D 2*

5.9

9.6

12.6

15.4

17.9

20.3

4

O 2*

7.5

14.6

20.8

26.1

30.8

35.1

5

CO

6.7

Other gases

12.9

17.8

22.1

25.8

29.1

6

N 2*

12.9

17.9

22.2

26.1

29.6

5

CO2

10.0

15.0

19.7

24.0

28.0

7,8

CH4

7.7

11.2

14.3

17.0

19.4

8

NO

13.8

19.2

23.8

28.0

31.9

6

N2O

10.0

15.0

19.4

23.6

27.4

6

air

13.3

18.6

23.1

27.1

30.8

9

* Low pressure limiting value. In general values differ by less than 1% at atmosphere pressure. References: 1. Kestin, J. et al., Equilibrium and transport properties of the noble gases and their mixtures at low density, J. Phys. Chem. Ref. Data 13, 299 (1984). 2. Younglove, B. A. and Hanley, H. J. M., The viscosity and thermal conductivity of normal hydrogen in the lmit of zero density, J. Phys. Chem. Ref. Data 15, 1323 (1986). 3. Assael, M. J., Mixafendi, S., and Wakeham, W. A., The viscosity of normal hydrogen in the limit of zero density, J. Phys. Chem. Ref. Data 15, 1315 (1986). 4. Assael, M. J., Mixafendi, S., and Wakeham, W. A., The viscosity of normal deuterium in the limit of zero density, J. Phys. Chem. Ref. Data 16, 189 (1987). 5. Cole, W. A. and Wakeham, W. A., The viscosity of nitrogen, oxygen, and their binary mixtures in the limit of zero density, J. Phys. Chem. Ref. Data 14, 209 (1985). 6. Ho, C. Y., Ed., Properties of Inorganic Fluids, CINDAS Data Series on Materials Properties, Vol. V-1 (Hemisphere Publishing Corp., New York, 1988). 7. Vescovic, V. et al., The transport properties of carbon dioxide, J. Phys. Chem. Ref. Data 1 9 (1990). 8. Trengove, R. D. and Wakeham, W. A., The viscosity of carbon dioxide, methane, and sulfur hexafluoride in the limit of zero density, J. Phys. Chem. Ref. Data 16, 175 (1987). 9. Kadoya, K., Matsunagz, N., and Nagashima, A., Viscosity and thermal conductivity of dry air in the gaseous phase, J. Phys. Chem. Ref. Data 14, 947 (1985).

© 2003 by CRC Press LLC

Section 6: Gases

6.3 Index of Refraction Index of Refraction n of Helium, He λ vac (µm )

λ air (µm )

n (273 K)

Ref.

0.092

1.0000485

1

O.1000

1.0000453

1

0.1100

1.0000426

1

0.1200

1.0000407

1

0.1300

1.0000396

1

0.1400

1.0000389

1

0.1500

1.0000383

1

0.1600

1.0000378

1

0.1700

1.0000374

1

0.1800

1.0000373

1

0.1820

1.00003720

3

0.184949

1.00003718

3

0.194232

1.00003690

3

0.213923

1.00003634

3

0.228872

1.00003601

3

0.253728

1.00003549

3

0.275278

1.00003573

3,4

0.289360

1.00003562

3,4

0.292541

1.00003559

3,4

0.296728

1.00003557

3,4

0.302150

1.00003553

3,4

0.312566

1.00003547

3,4

0.334148

1.00003536

3,4

0.366328

1.00003523

3,4

0.390641

1.00003516

3,4

0.404656

1.00003512

3,4

0.435835

1.00003505

3,4

0.479992

1.00003498

5

0.508582

1.00003494

5

0.521007

1.00003493

3

0.546226

0.546074

1.00003490

3

0.577120

0.576959

1.00003486

3

0.579227

0.579065

1.00003486

3

0.644025

0.643847

1.00003481

3

0.742511

1.00003477

5

0.826452

1.00003474

5

0.912296

1.00003472

5

1.013979

1.00003470

5

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445

446

Handbook of Optical Materials

Index of Refraction n of Helium, He—continued λ vac (µm )

λ air (µm )

n (273 K)

1.371857

1.00003466

5

1.529596

1.00003465

5

2.058128

1.00003464

5

Ref.

References: 1. Huber, M. C. E. and Tondello, G., Refractive index of He in the region 920 AA, J. Opt. Soc. Am. 64, 390 (1974). 2. Abjean, R., Mehu, A., and Johannin-Gilles, A., Comptes Rendus 271, 835 (1970). 3. Leonard, P. J., Atomic Data and Nuclear Data Tables 14, 21 (1974). 4. Cuthbertson, C. and Cuthbertson, M., Proc. Roy. Soc. A 135, 40 (1932). 5. Mansfield, C. R. and Peck, E. R., Dispersion of helium, J. Opt. Soc. Am. 59, 199 (1969).

Dispersion formula [λ (µ m) in vacuum at T = 273 K] 2

2

n = 1 + 0.01470091λ /423.98λ – 1

Range (µm ) 0.48–2.06

Reference: Mansfield, C. R. and Peck, E. R., Dispersion of helium, J. Opt. Soc. Am. 59, 199 (1969).

Index of Refraction n of Neon, Ne λ vac (µm )

λ air (µm )

n (273 K)

Ref.

0.1404

1.00007736

1

0.1525

1.00007520

1

0.1641

1.00007317

1

0.1702

1.00007280

1

0.180731

1.00007221

1

0.184949

1.00007190

1

0.194232

1.00007095

1

0.213923

1.00007017

1

0.228872

1.00006941

1

0.253728

© 2003 by CRC Press LLC

1.00006872

1

0.289360

1.00006860

2,3

0.296728

1.00006850

2,3

0.302150

1.00006843

2,3

0.313183

1.00006831

2,3

0.334148

1.00006812

2,3

0.366328

1.00006788

2,3

0.390641

1.00006773

2,3

0.404656

1.00006766

2,3

0.407781

1.00006765

2,3

0.435835

1.00006753

2,3

0.479992

1.00006739

2

Section 6: Gases

447

Index of Refraction n of Neon, Ne—continued λ vac (µm )

λ air (µm )

n (273 K)

Ref.

0.491604

1.00006736

2,3

0.508582

1.00006731

2

0.521007

1.00006729

2

0.546226

0.546074

1.00006724

2

0.577120

0.576959

1.00006718

2

0.579227

0.579065

1.00006718

2

0.644025

0.643847

1.00006711

2

References: 1. Bideau-Mehu, A., Guern, R., Abjean, Y., and Johannin-Gilles, A., Measurement of refractive indexes of He, Ar, Kr, and Xe in the 253.7–140.4 nm wavelength range. Dispersion relation and estimated oscillator strength of the resonance lines, J. Quant. Spectrosc. Radiat. Transfer 25, 395 (1981). 2. Leonard, P. J., Atomic Data and Nuclear Data Tables 14, 21 (1974). 3. Cuthbertson, C. and Cuthbertson, M., Proc. Roy. Soc. A 135, 40 (1932). Dispersion formula [λ (µ m) in vacuum at T = 273 K] 2

2

2

2

n = 1 + 0.012055[0.1063λ /(184.661λ – 1) + 182.90λ /(376.840λ – 1)]

Range (µm ) 0.14–0.66

Reference: Bideau-Mehu, A., Guern, R. Abjean, Y., and Johannin-Gilles, A., Measurement of refractive indexes of He, Ar, Kr, and Xe in the 253.7–140.4 nm wavelength range. Dispersion relation and estimated oscillator strength of the resonance lines, J. Quant. Spectrosc. Radiat. Transfer 25, 395 (1981).

Index of Refraction n of Argon, Ar (vacuum ultraviolet) λ vac ( µm )

n (273 K)

Ref.

λ vac (µm )

n (273 K)

Ref.

0.1110

1.0008025

1

0.1700

1.0003451

1

0.1140 0.1160

1.0006435

1

0.1702

1.0003446

2

1.0005878

1

0.1805

1.0003352

1

0.1180

1.0005492

1

0.180731

1.0003352

2

0.1200

1.0005200

1

0.184949

1.0003315

2

0.1210

1.0005080

1

0.1850

1.0003318

1

0.1216

1.0005016

1

0.1900

1.0003281

1

0.1250

1.0004707

1

0.194232

1.0003256

2

0.1300

1.0004394

1

0.2000

1.0003220

1

0.1350

1.0004166

1

0.2100

1.0003169

1

0.1400

1.0003966

1

0.213923

1.0003150

2

0.1404

1.0003964

2

0.2200

1.0003127

1

0.1500

1.0003749

1

0.228872

1.0003102

2

0.1525

1.0003685

2

0.2300

1.0003091

1

0.1600

1.0003577

1

0.253728

1.0003029

2

0.1641

1.0003514

2

© 2003 by CRC Press LLC

448

Handbook of Optical Materials Index of Refraction Index n of Argon, Ar (ultraviolet, visible, and near infrared)

λ vac (µm )

λ air (µm )

n (273 K)

Ref.

0.230209

1.00030922

3

0.234555

1.00030786

3

0.237999

1. 00030689

3

0.244691

1.00030507

3

0.246407

1.00030463

3

0.257630

1.00030202

3

0.267499

1.00030002

3

0.275278

1.00029865

3

0.275971

1.00029852

3

0.289357

1.00029643

3

0.292541

1.00029599

3

0.334148

1.00029135

3

0.380166

1.00028806

3

0.410807

1.00028285

3

0.467947

0.467816

1.00028434

3,4

0.480126

0.479992

0.508724

3 3,4

0.491604

1.00028368

3

0.508582

1.00028325

3,4

0.521007 0.546226

1.00028399 1.00028398

1.00028322

3

1.00028296

3

0.546074

1.00028247

3

0.567717

1.00028209

3

0.577120

0.576959

1.00028190

3

0.579227

0.579065

1.00028190

3

0.644025

0.643847

1.00028103

3

0.703435

0.703241

1.00028045

3,4

0.724716

0.724511

1.00028028

3,4

0.826679

0.826452

1.00027962

3,4

0.912547

0.912296

1.00027923

3,4

0.922703

0 922449

1.00027920

3,4

0.966043

0.965778

1.00027904

3,4

1.014257

1.013979

1.00027890

3,4

1.372233

1.371857

1.00027825

3,4

1.475650

1.475246

1.00027814

3,4

1.529354

1.528936

1.00027810

3,4

1.530015

1.529596

1.00027809

3,4

1.694521

1.694057

1.00027798

3,4

2.058691

2.058128

1.00027782

3,4

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Section 6: Gases

449

References: 1. Chashchina, G. I., Gladushchak, V. I., and Shreider, E. Ya., Opt. Spektrosk. 24, 1008-1010 (1968) English transl.: Opt. Spectrosc. USSR 24, 542 (1968). 2 . Bideau-Mehu, A., Guern, R., Abjean, Y., and Johannin-Gilles, A., J. Quant. Spectrosc. Radiat. Transfer 25, 395 (1981). 3. Leonard, P. J., Atomic Data and Nuclear Data Tables 14, 21 (1974). 4. Peck, E. R. and Fisher, D. J., J. Opt. Soc. Am. 54, 1362 (1964).

Temperature variation of the index of refraction of argon at 293 K. dn/dT (K-1) = -0.897x10-6 at 546.1 nm dn/dT (K-1) = -0.894x10-6 at 632.8 nm Dispersion formula [λ in vacuum (µ m) at T = 273 K] 2

2

2

2

n = 1 + 0.012055[0.2075λ /(91.012 λ – 1) + 0.0415λ /(87.892λ – 1) 2

Range (µm )

Ref.

0.14–2.1

1

0.47–2.06

2

2

+ 4.3330λ /(214.02λ – 1)] 2

2

n = 1 + [67.86711 + 30182.943λ /(144λ – 1)]x10

-6

References: 1. Bideau-Mehu, A., Guern, R., Abjean, Y., and Johannin-Gilles, A., Measurement of refractive indexes of He, Ar, Kr, and Xe in the 253.7–140.4 nm wavelength range. Dispersion relation and estimated oscillator strength of the resonance lines, J. Quant. Spectrosc. Radiat. Transfer 25, 395 (1981). 2. Peck, E. R. and Fisher, D. J., J. Opt. Soc. Am. 54, 1362-1364 (1964).

Index of Refraction n of Krypton, Kr λ vac (µm )

λ air (µm )

n (273 K)

Ref.

0.1404

1.0007723

1

0.1525

1.0006548

1

0.1641

1.0005973

1

0.16846

1.0005829

2

0.16991

1.0005780

2

0.17015

1.0005773

2

0.1702

1.0005801

1

0.17044

1.0005767

2

0.17134

I .0005740

2

0.17224

1.0005718

2

0.18169

1.0005483

2

0.18365

1.0005442

2

0.1844

1.0005433

1

0.18455

1.0005425

2

0.18475

1.0005423

2

0.18507

1.0005416

2

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450

Handbook of Optical Materials Index of Refraction n of Krypton, Kr—continued λ vac (µm )

λ air (µm )

n (273 K)

Ref.

0.19013

1.0005326

2

0.19832

1.0005197

2

0.19889

1.0005191 0.202551

0.20588

1.00051493

2 3,4

1.0005101

2

0.2062

1.0005108

1

0.21248

1.0005028

2

0.213923

1.0005023

1

0.214438

1 00050126

3,4

0.219463

1.00049664

3,4

0.22116

1.0004950

0.22174

1.0004946 0.226502

0.228872

1.00049089 1.0004890

2 2 3,4 1

0.230209

1.00048845

3,5

0.232928

1.00048617

3,4

0.234555

1.00048542

3,5

0.237999

1.00048318

3,5

0.24359

1.0004791

2

0.244691

1.00047910

3,5

0.246407

1.00047815

3,5

0.25073

1.0004751

2

0.25151

1.0004747

2

0.25169

1.0004746

2

0.25200

1.0004745

2

0.25249

1.0004742

2

0.25293

1.0004740

2

0.257309

1.00047221

3,4

0.257630

1.00047236

3,5

0.267499

1.00046804

3,5

0.274858

1.00046489

3,4

0.275278

1.00046499

3,5

0.275971

1.00046471

3,5

0.283691

1.00046181

3,4

0.285697

1.00046138

3,5

0.26321

1.0004691

0.28824

© 2003 by CRC Press LLC

1.0004601

2

2

0.289360

1.00046017

3,5

0.292541

1.00045924

3,5

0.298063

1.00045739

3,4

0.334148

1.00044933

3,5

Section 6: Gases

451

Index of Refraction n of Krypton, Kr—continued λ vac (µm )

0.480126

λ air (µm )

n (273 K)

Ref.

0.340365

1.00044829

3,4

0.380166

1.00044241

3,5

0.410807

1.00043909

3,5

0.441304

1.00043621

3,4

0.479992

1.00043391

3,4

0.491604

1.00043333

3,5

0.508724

0.508582

1.00043245

3,4

0.546226

0.546074

1.00043084

3

0.567717

1.00043011

3,5

0.607262

1.00042885

3,5

0.612327

1.00042873

3,5

0.623437

1.00042847

3,5

References: 1. Bideau-Mehu, A., Guern, R., Abjean, Y., and Johannin-Gilles, Measurement of refractive indexes of He, Ar, Kr, and Xe in the 253.7–140.4 nm wavelength range. Dispersion relation and estimated oscillator strength of the resonance lines, J. Quant. Spectrosc. Radiat. Transfer 25, 395 (1981). 2. Smith, P. L., Parkinson, W. H., and Huber, M. C. E., The refractive index of krypton for 168 nm to 288 nm, Opt. Commun. 14, 374 (1975). 3. Leonard, P. J., Atomic Data and Nuclear Data Tables 14, 21-37 (1974).. 4. Kronjager, W., Z. Physik 98, 17 (1936). 5. Koch, J., Kungl. Fysiografiska Sällskapets i Lund Förhandlingar 19, 173 (1949). Dispersion formula [λ (µ m) in vacuum at T = 273 K] 2

2

2

2

n = 1 + 0.012055[0.2104λ /(65.4742λ – 1) + 0.2270λ /(73.698λ – 1) 2

Range (µm ) 0.15–0.62

2

+ 5.14975λ /(181.08λ – 1)]

Reference: See reference 1 above. Index of Refraction n of Xenon, Xe λ vac (µm )

λ air (µm )

n (273 K)

Ref.

0.1483

1.005091

0.1495

1.003210

1

0.1525

1.0020686

1

0.1550

1.0018107

2

0.1600

1.0014614

2

0.1641

1.0013192

1

0.1650

1.0012978

2

0.1700

1.0011934

2

0.1702

1.0011867

1

0.1750

1.0011213

2

0.1800

1.0010678

2

0.180731

1.0010630

1

© 2003 by CRC Press LLC

1

452

Handbook of Optical Materials Index of Refraction n of Xenon, Xe—continued λ vac (µm )

λ air (µm )

n (273 K)

Ref.

0.184949

1.0010302

1

0.1850

1.0010226

2

0.1900

1.0009917

2

0.194232

1.0009713

1

0.1950

1.0009635

2

0.2000

1.0009398

2

0.2050

1.0009194

2

0.2100

1.0009018

2

0.213923

1.0008941

1

0.2150

1.0008862

2

0.2200

1.0008725

2

0.2250

1.0008603

2

0.228872

1.0008584

1

0.2300

1.0008494

2

0.230209

1.00085519

3,4

0.234555

1.00084664

3,4

0.237999

1.00084025

3,4

0.244691

1.00082907

3,4

1.00082640

3,4

0.246407 0.253728

0.546226

1.0008127

1

0.257630

1.00081078

3,4

0.267499

1.00079923

3,4

0.275278

1.00079124

3,4

0.275971

1.00079060

3,4

0.285697

1.00078186

3,4

0.289360

1.00077885

3,4

0.292541

1.00077637

3,4

0.334148

1.00075143

3,4

0.380166

1.00073430

3,4

0.410807

1.00072623

3,4

0.491604

1.00071241

3,4

0.546074

1.00070660

3

0.567717

1.00070477

3,4

0.607262

1.00070188

3,4

0.612327

1.00070157

3,4

0.623437

1.00070091

3,4

1. Bideau-Mehu, A., Guern, R., Abjean, Y., and Johannin-Gilles, A., J. Quant. Spectrosc. Radiat. Transfer 25, 395 (1981). 2. Chashchina, G. I. and Shreider, E. Ya., Opt. Spektrosk. 27, 161 (1969) English transl.: Opt. Spectrosc. USSR 27, 79-80 (1969). 3. Leonard, P. J., Atomic Data and Nuclear Data Tables 14, 21-37 (1974). 4. Kronjager, W., Z. Physik 98, 17 (1936).

© 2003 by CRC Press LLC

Section 6: Gases

Dispersion formula [λ (µ m) in vacuum at T = 273 K] 2

2

2

Range (µm )

2

n = 1 + 0.012055[0.26783λ /(46.301λ – 1) + 0.29481λ /(50.578λ – 1) 2

453

0.15–0.62

2

+ 5.0333λ /(112.74λ – 1)]

Reference: Bideau-Mehu, A., Guern, R., Abjean, Y., and Johannin-Gilles, A., Measurement of refractive indexes of He, Ar, Kr, and Xe in the 253.7–140.4 nm wavelength range. Dispersion relation and estimated oscillator strength of the resonance lines, J. Quant. Spectrosc. Radiat. Transfer 25, 395 (1981). Index of Refraction n of Hydrogen, H2 λ air (µm )

n (273 K)

λ air (µm )

n (273 K)

0.230209

1.0001594

0.334148

1.0001461

0.237832

1.0001577

0.354308

1.0001450

0.244691

1.0001563

0.366328

1.0001443

0.246406

1.0001560

0.390641

1.0001432

0.253652

1.0001547

0.398400

1.0001430

0.257630

1.0001540

0.404656

1.0001427

0.267499

1.0001525

0.407781

1.0001426

0.275278

1.0001515

0.410807

1.0001426

0.275971

1.0001514

0.435835

1.0001418

0.285697

1.0001503

0.486133

1.0001406

0.289360

1.0001499

0.491604

1.0001405

0.292541

1.0001495

0.546074

1.0001397

0.296728

1.0001491

0.579065

1.0001393

0.312567

1.0001477

0.656279

1.0001387

0.313184

1.0001477

0.670784

1.0001385

Reference: Leonard, P. J., Atomic Data and Nuclear Data Tables 14, 21 (1974) Index of Refraction n of Deuterium, D 2 λ air (µm )

n (273 K)

λ air (µm )

n (273 K)

0.230209

1.00015680

0.289357

1.00014756

0.234555

1.00015584

0.292541

1.00014725

0.237999

1.00015510

0.334148

1.00014395

0.244691

1.00015378

0.380166

1.00014160

0.246407

1.00015347

0.410807

1.00014048

0.257630

1.00015158

0.491604

1.00013850

0.267499

1.00015014

0.546074

1.00013766

0.275278

1.00014915

0.576959

1.00013731

0.275971

1.00014906

0.579065

1.00013727

Reference: Leonard, P. J., Atomic Data and Nuclear Data Tables 14, 21-37 (1974)

© 2003 by CRC Press LLC

454

Handbook of Optical Materials Index of Refraction n of Nitrogen, N 2 (vacuum ultraviolet, ultraviolet, and visible) λ vac (µm )

λ air (µm )

n (273 K)

Ref.

0.1641

1.0003748

1

0.1702

1.0003656

1

0.180731

1.0003552

2

0.184949

1.0003495

2

0.194232

1.0003435

2

0.213923

1.0003349

2

0.228872

1.0003299

2

0.237832

1.0003261

3

0.244691

1.0003241

3

0.246406

1.0003236

3

0.253652

1.0003218

3

0.253728

1.0003217

2

0.257630

1.0003208

3

0.267499

1.0003187

3

0.275278

1.0003172

3

0.275971

1.0003171

3

0.285697

1.0003154

3

0.289360

1 0003148

3

0.292541

1.0003143

3

0.296728

1.0003137

3

0 334148

1.0003094

3

0.354308

1.0003076

3

0.390641

1.0003051

3

0.398400

1.0003047

3

0.407781

1.0003042

3

0.410807

1.0003041

3

0.491604

1.0003011

3

0.546074 0.546226

1.0002977

3

l.0002911

4

References: 1. Bideau-Mehu, A., Guern, Y., Abjean, R., and Johannin-Gilles, A., Measurement of refractive indexes of gases in the vacuum ultraviolet and revised values for krypton, Opt. Commun. 16, 186 (1976). 2. Abjean, R., Mehu, A., and Johannin-Gilles, A., Interferometric measurement of the refractive indices of neon and helium in the ultraviolet, Comptes Rendus 271, 411-414 (1970). 3. Leonard, P. J., Atomic Data and Nuclear Data Tables 14, 21-37 (1974). 4. Peck, E. R. and Hanna, B. N., J. Opt. Soc. Am. 56, 1059-1063 (1966).

© 2003 by CRC Press LLC

Section 6: Gases

455

Index of Refraction n of Nitrogen, N 2 (vacuum ultraviolet, ultraviolet, and visible) λ vac (µm )

λ air (µm )

n (273 K)

Ref.

0.1641

1.0003748

1

0.1702

1.0003656

1

0.180731

1.0003552

2

0.184949

1.0003495

2

0.194232

1.0003435

2

0.213923

1.0003349

2

0.228872

1.0003299

2

0.237832

1.0003261

3

0.244691

1.0003241

3

0.246406

1.0003236

3

0.253652

1.0003218

3

0.253728

0.546226

1.0003217

2

0.257630

1.0003208

3

0.267499

1.0003187

3

0.275278

1.0003172

3

0.275971

1.0003171

3

0.285697

1.0003154

3

0.289360

1 0003148

3

0.292541

1.0003143

3

0.296728

1.0003137

3

0.334148

1.0003094

3

0.354308

1.0003076

3

0.390641

1.0003051

3

0.398400

1.0003047

3

0.407781

1.0003042

3

0.410807

1.0003041

3

0.491604

1.0003011

3

0.546074

1.0002977

3

l.0002911

4

References: 1. Bideau-Mehu, A., Guern, Y., Abjean, R., and Johannin-Gilles, A., Measurement of refractive indexes of gases in the vacuum ultraviolet and revised values for krypton, Opt. Commun. 16, 186 (1976). 2. Abjean, R., Mehu, A., and Johannin-Gilles, A., Interferometric measurement of the refractive indices of neon and helium in the ultraviolet, Comptes Rendus 271, 411 (1970). 3. Leonard, P. J., Atomic Data and Nuclear Data Tables 14, 21 (1974). 4. Peck, E. R. and Hanna, B. N., J. Opt. Soc. Am. 56, 1059 (1966).

© 2003 by CRC Press LLC

456

Handbook of Optical Materials Index of Refraction n of Nitrogen, N 2 (visible and near infrared) λ vac (µm )

λ vac (µm )

n (288 K)

n (288 K)

0.467947

1.00028543

0.978719

1.00028000

0.480126

1.00028507

1.014257

1.00027989

0.508724

1.00028433

1.129050

1.00027961

0.546226

1.00028352

1.350788

1.00027926

0.703435

1.00028149

1.372233

1.00027923

0.724716

1.00028130

1.475650

1.00027912

0.826679

1.00028063

1.529354

1.00027907

0.912547

1.00028023

1.694521

1.00027896

0.922703

1.00028019

2.058691

1.00027879

0.966043

1.00028004

Reference: Peck, E. R. and Hanna, B. N., J. Opt. Soc. Am. 56, 1059 (1966). Temperature variation of index of refraction at 293 K: dn/dT (K–1) = -0.953 × 10–6 at 546.1 nm dn/dT (K–1) = -0.949 × 10–6 at 632.8 nm Dispersion formula [λ (µ m) in vacuum at T = 273 K] 2

2

n = 1 + [68.5520 + 32431.57λ /144λ – 1)]x10

–6

Reference: Peck, E. R. and Hanna, B. N., J. Opt. Soc. Am. 56, 1059 (1966). Index of Refraction n of Oxygen, O2 λ air (µm )

n (273 K)

0.275278

1.0003242

0.289360

1.0002936

0.302150

1.0002912

0.318770

1.0002879

0.388865

1.0002797

0.447148

1.0002763

0.471250

1.0002751

0.501568

1.0002740

0.587562

1.0002718

0.667815

1.0002708

Reference: Abjean, R., Mehu, A., and JohanninGilles, A., Comptes Rendus 271, 411 (1970).

Temperature variation of the index of refraction of oxygen at 293 K: dn/dT (K–1) = -0.864 × 10–6 at 546.1 nm dn/dT (K–1) = -0.858 × 10–-6 at 632.8 nm

© 2003 by CRC Press LLC

Range (_m) 0.47–2.06

Section 6: Gases

457

Index of Refraction n of Carbon Dioxide, CO2 λ vac (µm )

n (273 K)

λ vac (µm )

n (273 K)

0.180731

1.0005513

1

0.410925

1.0004582

2

0.184949 0.194232

1.0005441

1

0.480126

1.0004534

3

1.0005333

1

0.491720

1.0004529

2

0.206230

1.0005207

1

0.508724

1.0004520

3

0.213923

1.0005142

1

0.546223

1.0004505

2

0.228872

1.0005034

1

0.724716

1.0004461

3

0.237910

1.0004973

2

0.744095

1.0004458

3

0.244764

1.0004937

2

0.826679

1.0004446

3

0.246482

1.0004929

2

0.877716

1.0004440

3

0.253728

1.0004895

1

0.893115

1.0004439

3

0.257708

1 0004878

2

0.912547

1.0004437

3

0.267577

1.0004840

2

0.922703

1.0004436

3

0.276058

1.0004811

2

0.966043

1.0004431

3

0.285780

1.0004781

2

1.014257

1.0004427

3

0.296813

1.0004752

2

1.296021

1.0004405

3

0.334242

1.0004674

2

1.372232

1.0004399

3

0.354469

1.0004644

2

1.475650

1.0004392

3

0.368104

1.0004625

2

1.529354

1.0004387

3

0.398507

1.0004593

2

1.694521

1.0004374

3

Ref.

Ref.

References: 1. Bideau-Mehu, A., Guern, Y., Abjean, R., and Johannin-Gilles, A., Interferometric determination of the refractive index of CO2 in the ultraviolet region, Opt. Commun. 9, 432 (1973). 2. Leonard, P. J., Atomic Data and Nuclear Data Tables 14, 21 (1974). 3. Old, J. G., Gentili, K. L., and Peck, E. R., Dispersion of carbon dioxide, J. Opt. Soc. Am. 61, 8 9 (1971). Temperature variation of the index of refraction of carbon dioxide at 293 K: –1

–6

–1

–6

dn/dT (K ) = 1.432 × 10 dn/dT (K ) = 1.424 × 10

at 546.1 nm at 632.8 nm

Dispersion formula [λ (µ m) in vacuum at T = 273 K] 2

2

2

Range (µm ) 2

n = 1 + 0.012055[0.579925λ /(166.175λ – 1) + 0.12005λ (79.609λ – 1) 2

2

2

0.18–1.7

2

+ 0.0053334λ /(56.3064λ – 1) + 0.0043244λ /(46.0196λ – 1) 2

2

+ 0.0001218145λ /(0.0584738λ – 1)]

Reference: Bideau-Mehu, A., Guern, Y., Abjean, R., and Johannin-Gilles, A., Interferometric determination of the refractive index of CO2 in the ultraviolet region, Opt. Commun. 9, 432 (1973).

© 2003 by CRC Press LLC

458

Handbook of Optical Materials Index of Refraction n of Methane, CH4

λ air (µm )

n (273 K)

Reference

0.5290

1.0004478

1

0.5718

1.0004454

1

0.5893

1.000444

2

0.5935

1.0004435

1

0.6375

1.0004411

1

0.6585

1.0004404

1

References: 1. International Critical Tables of Numerical Data, Physics and Chemistry and Technology, Vol. VII, Washburn, E. W., Ed., (McGraw-Hill, New York, 1930). 2. Kaye, G. W., and Laby, T. H., Tables of Physical and Chemical Constants (Longman Group, London, 1986).

Index of Refraction n of Ammonia, NH3 λ air (µm )

n (273 K)

Reference

0.47999

1.0003830

1

0.50858

1.0003808

1

0.52091

1.0003800

1

0.54607

1.0003786

1

0.57695

1.0003771

1

0.57905

1.0003770

1

0.5893

1.000376

2

0.64385

1.0003746

1

0.67078

1.0003738

1

References: 1. International Critical Tables of Numerical Data, Physics and Chemistry and Technology, Vol. VII, Washburn, E. W., Ed., (McGraw-Hill, New York, 1930). 2. Kaye, G. W., and Laby, T. H., Tables of Physical and Chemical Constants (Longman Group, London, 1986).

© 2003 by CRC Press LLC

Section 6: Gases

459

Index of Refraction n of Air λ air (µm )

n (288 K)

λ vac –λ a i r (µm )

λ air (µm )

n (288 K)

λ vac –λ a i r (µm )

0.200

1.0003256

0.0000651

0.560

1.0002769

0.0001551

0.210

1.0003188

0.0000670

0.570

1.0002768

0.0001578

0.220

1.0003132

0.0000689

0.580

1.0002766

0.0001604

0.230

1.0003086

0.0000710

0.590

1.0002765

0.0001631

0.240

1.0003047

0.0000731

0.600

1.0002763

0.0001658

0.250

1.0003014

0.0000754

0.610

1.0002762

0.0001685

0.260

1.0002986

0.0000776

0.620

1.0002761

0.0001712

0.270

1.0002962

0.0000800

0.630

1.0002760

0.0001739

0.280

1.0002941

0.0000824

0.640

1.0002759

0.0001766

0.290

1.0002923

0.0000848

0.650

1.0002758

0.0001792

0.300

1.0002907

0.0000872

0.660

1.0002757

0.0001819

0.310

1.0002893

0.0000897

0.670

1.0002756

0.0001846

0.320

1.0002880

0.0000922

0.680

1.0002755

0.0001873

0.330

1.0002869

0.0000947

0.690

1.0002754

0.0001900

0.340

1.0002859

0.0000972

0.700

1.0002753

0.0001927

0.350

1.0002850

0.0000998

0.710

1.0002752

0.0001954

0.360

1.0002842

0.0001023

0.720

1.0002751

0.0001981

0.370

1.0002835

0.0001049

0.730

1.0002751

0.0002008

0.380

1.0002829

0.0001075

0.740

1.0002750

0.0002035

0.390

1.0002823

0.0001101

0.750

1.0002749

0.0002062

0.400

1.0002817

0.0001127

0.760

1.0002749

0.0002089

0.410

1.0002812

0.0001153

0.770

1.0002748

0.0002116

0.420

1.0002808

0.0001179

0.780

1.0002748

0.0002143

0.430

1.0002803

0.0001205

0.790

1.0002747

0.0002170

0.440

1.0002799

0.0001232

0.800

1.0002746

0.0002197

0.450

1.0002796

0.0001258

0.810

1.0002746

0.0002224

0.460

1.0002792

0.0001284

0.825

1.0002745

0.0002265

0.470

1.0002789

0.0001311

0.850

1.0002744

0.0002332

0.480

1.0002786

0.0001338

0.875

1.0002743

0.0002400

0.490

1.0002784

0.0001364

0.900

1.0002742

0.0002468

0.500

1.0002781

0.0001391

0.925

1.0002741

0.0002536

0.510

1.0002779

0.0001417

0.950

1.0002740

00002604

0.520

1.0002777

0.0001444

0.975

1.0002740

0.0002671

0.530

1.0002775

0.0001471

1.000

1.0002739

0.0002739

0.540

1.0002773

0.0001497

1.050

1.0002738

0.0002875

0.550

1.0002771

0.0001524

1.100

1.0002737

0.0003011

Reference: CRC Handbook of Chemistry and Physics, 75th edition, Lide, D. R., Ed. (CRC Press, Boca Raton, FL, 1994).

© 2003 by CRC Press LLC

460

Handbook of Optical Materials

6.4 Nonlinear Optical Properties 6.4.1 Nonlinear Refractive Index γ (300 K) γ (10– 22 m 2 / W )

λ( n m )

Gas Noble gases He Ne Ar

Ref.

694.3 694.3 248.4 694.3

0.014 0.006 0.29 ± 0.10 0.25

1 2 2 1

694.3 694.3 248.4 694.3 248.4 694.3 248.4 694.3 248.4 694.3

0.21 0.21 3.0 ± 0.3 0.21 0.76 ± 0.26 0.21 0.32 1.1 1.1 ± 0.4 0.47

3 1 2 1 2 1 1 2 2 1

Other gases H2 D2 O2 N2 CO2 CH4

References: 1. Rado, W. G., Appl. Phys. Lett. 11, 123 (1967) 2. Shaw, M. J., Hooker, C. J., and Wilson, D. C., Opt. Commun. 103, 153 (1993). 3. Martin, W. E. and Winfield, R. J., Appl. Opt. 27, 577 (1988)

6.4.2

Two-Photon Absorption Two-Photon Absorption Coefficients

Gas

Excitation duration (ns)

Anthracene Benzene Benzene Benzene Benzene Benzene Perylene POPOP

30 10 10 10 10 10 30 30

Applied two-photon energy (eV) 3.57 4.92 8.43 8.44 8.53 8.87 3.57 3.57

Two-photon cross-section 10–50c m 4 s / phot. mol. 0.09 0.0126 0.0016 0.00075 0.00146 0.00001 1.2 0.05

Ref. 1 2 2 2 2 2 1 1

Additional information 503 K, 1.7 Torr 30 Torr, Ar buffer 30 Torr, Ar buffer 30 Torr, Ar buffer 30 Torr, Ar buffer 30 Torr, Ar buffer 583 K, 0.6 Torr 603 K, 1.23 Torr

POPOP : 1,4-di[2-(5-phenyloxazolyl)] benzene.

References: 1. Blokhin, A. P., Povedalio, V. A., and Tolkachev, V. A., Polarization of two-photon excited fluorescence of vapors of complex organic molecules, Opt. Spectrosc. (USSR) 60, 37 (1986). 2. Zheng, B., Lin, M., Zhang, B., and Chen, W., Study of two-photon absorption cross section b y multiphoton ionization spectroscopy, Opt. Commun. 73, 208 (1989).

© 2003 by CRC Press LLC

Section 6: Gases

461

6.4.3 Third-Order Nonlinear Optical Coefficients

Gas

Nonlinear optical process

Cjn

Coefficient 20 2 -2 x 10 m V

mic

Wavelength (µm)

Noble gases Helium, He

(−2ω 1+ ω2; ω1, ω1, −ω2) (−3ω; ω, ω, −ω) (−2ω; 0, ω, ω)

C 11 = 0.00245 C 11 = 0.00122 C 22 = 0.0027

0.6943 0.6943 0.6943

Neon, Ne

(−2ω; 0, ω, ω) (−3ω; ω, ω, −ω)

C 22 = 0.00735 ± 0.00024 C 11 = 0.00312 ± 0.00053

0.6943 0.6943

Argon, Ar

(−2ω 1+ ω2; ω1, ω1, −ω2) (−3ω; ω, ω, −ω) (−2ω; 0, ω, ω)

C11 = 0.0217 ± 10% C 11 = 0.0875 C 11 = 0.0441 ± 0.007 C 22 = 0.0833 ± 0.0027

0.6943 0.308 0.6943 0.6943

Krypton, Kr

(−3ω; ω, ω, −ω) (−2ω; 0, ω, ω)

C 11 = 0.13516 ± 0.0262 C 22 = 0.2037 ± 0.0098

0.6943 0.6943

Xenon, Xe

(−2ω; 0, ω, ω)

C 11 = 0.3426 ± 0.0655 C 22 = 0.5635 ± 0.0392

0.6943 0.6943

(−2ω 1+ ω2; ω1, ω1, −ω2) (−3ω; ω, ω, −ω)

C11 = 0.028 ± 10% C 11 = 0.054 ± 0.008

0.6943

Carbon monoxide, CO

(−2ω 1+ ω2; ω1, ω1, −ω2) (−3ω; ω, ω, −ω)

C11 = 0.0252 ± 10% C11 = 1.95

0.6943 9.33

Deuterium, D2

(−2ω 1+ ω2; ω1, ω1, −ω2)

C11 = 0.0182 ± 10%

0.6943

Ethane, C2H8

(−2ω 1+ ω2; ω1, ω1, −ω2)

C11 = 0.0868 ± 10%

0.6943

Hydrogen, H2

(−2ω 1+ ω2; ω1, ω1, −ω2) (−3ω; ω, ω, −ω)

C11 = 0.0294 ± 10% C 11 = 0.028 ± 0.0024

0.6943 0.6943

Methane, CH4

(−2ω 1+ ω2; ω1, ω1, −ω2) (−2ω; 0, ω, ω) (−ω; 0, 0,+ ω) (−2ω; ω, ω,0)

Nitric oxide, NO

(−2ω 1+ ω2; ω1, ω1, −ω2)

C11 = 0.0588 ± 10%

0.6943

Nitrogen, N2

(−2ω 1+ ω2; ω1, ω1, −ω2) (−3ω; ω, ω, −ω)

C11 = 0.0189 ± 10% C 11 = 0.03745 ± 0.006

0.6943 0.6943

Oxygen, O2

(−2ω 1+ ω2; ω1, ω1, −ω2)

C11 = 0.0182 ± 10%

0.6943

Sulfur hexafluoride, SF6

(−2ω 1+ ω2; ω1, ω1, −ω2) (−3ω; ω, ω, −ω)

C11 = 0.035 ± 10% C 11 = 5862

Other gases Carbon dioxide, CO2

mic

C jn = 0.1925 ± 0.0161 mic C jn = 0.1708 ± 0.084 C 22 = 0.1806 ± 0.013 C11 = 0.0413 ± 10%

0.6943 0.6943 0.6943 0.6943

0.6943 10.6

Data from a table of S. Singh, Nonlinear optical materials, Handbook of Laser Science and Technology, Vol. III: Optical Materials, Part 1 (CRC Press, Boca Raton, FL., 1986), p. 60 ff.

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462

Handbook of Optical Materials

6.4.4 Stimulated Raman Scattering Stimulated Raman Scattering Transitions in Gases Raman frequency shift ν o (cm - 1 )

Substance barium vapor,a Ba cesium vapor,a Cs hydrogen fluoride, HF potassium vapor,a K rubidium vapor,a Rb para-hydrogen, p-H2 silane, SiH4 germane, GeH4 sulfur hexafluoride, SF6 carbon tetrafluoride, CF4 oxygen, O2 nitrogen, N2 potassium vapor, K methane, CH4 deuterium, D2 hydrogen deuteride, HD hydrogen, H2

Ref.

IRb IRb FlR b IRb IRb 354 2186 2111 775 980 1552 2331 2721 2916 2991 3628 4155

11 12,13 14 13,15 16 17,18 5 5 5 19 24 20 21 22 22 23 22

a Stimulated electronic Raman scattering (SERS). b Generally tunable transitions in the infrared (IR) and far infrared (FIR). The above table is from Milanovich, F. P., Stimulated Raman scattering, Handbook of Laser Science and Technology, Vol. III: Optical Materials (CRC Press, Boca Raton, FL, 1986), p. 283.

Raman Gain Parameters of Selected Gases at 298 K Gas

H2

Mode

Q(1)

νo

∆ν g

( c m –1)

(MHz) a

Ref.

gain (cm/GW)

309 + 52.2ρ ρ

1

2.5 ± 0.4

20

532

2

2.64 ± 0.2 3.5 ± 0.3 5.7 6.6 ± 0.8

60 20 High density 20

532 477 350 308

3 2 4 2

4155

Q(0)

p-H2 (81 K) (80 K)

(amagat)

(nm)

Ref.

1

7.00

>20

248

5

1.2

High density

350

4

10P(20)b 10R(20)b 9P(20)b 9R(20)b

6 6 6 6

587

119ρ

4

Q(0)

354

76.6 + 45.4ρ ρ

1

© 2003 by CRC Press LLC

λl

257 + 76.6ρ ρ

S(1)

S(1)

ρ

0.096 ± .009 0.102 ± .014 0.111 ± .012 0.123 ± .014

Section 6: Gases

463

Raman Gain Parameters of Selected Gases at 298 K—continued Gas D2

Mode Q(2)

νo

∆ν g

( c m –1)

(MHz) a

Ref.

gain (cm/GW)

7,8

0.45 ± 0.05

66ρ

4

101 +120ρ ρ

2987

ρ

λl

(amagat)

(nm)

Ref.

60 atm

532

3

1.9 0.47

High density High density

350 350

4 4 4

0.23 0.098

High density High density

350 350

4 4

115

532 248

3 5

248 400 566 400 565.5 400 565 400 564.5

5 9 10 9 10 9 10 9 10

D2

S(2)

414

124ρ

4

HD

Q(1)

3628

693ρ

4

S(1)

443

760ρ

4

CH4

ν1

2917

8220 + 384ρ 9000 (1<ρ<10)

3 5

1.26 0.12ρ 1.2 0.66

N2

Q branch S(6)

2327 60

S(8)

76

S(10)

92

S(12)

108

22.5 (ρ<10) 0.00285 (D) 3570ρ 0.00363 (D) 3570ρ 0.00441 (D) 3570ρ 0.00516 (D) 3570ρ

5 9 10 9 10 9 10 9 10

0.3ρ 0.0063 0.0036 0.0073 0.0046 0.0072 0.0048 0.0061 0.0043

O2

Q branch

1552

54

5

0.012ρ

248

5

SiH4

Q branch

2186

15 (est)

5

0.19ρ

248

5

GeH4

ν1

2111

15 (est)

5

0.27ρ

248

5

CF4

ν1

980

21 (est)

5

0.008ρ

248

5

SF6

ν1

775

30 (est)

5

0.014ρ

248

5

>1 torr >.01 >1 torr >.01 >1 torr >.01 >1 torr >.01

a ρ is measured in amagats b CO2 laser lines. (D) Doppler

The above table is from Reintjes, J. F., Stimulated Raman and Brillouin scattering, Handbook o f Laser Science and Technology, Suppl. 2: Optical Materials (CRC Press, Boca Raton, FL, 1995), p. 334.

Polarization Dependence of Relative Gain Pump polarization Rotational scattering, linear molecules

© 2003 by CRC Press LLC

linear linear circular circular

Stokes polarization linear parallel linear, perpendicular circular, same sense circular, opposite sense

Relative gain 1.0 0.75 0.25 1.5

464

Handbook of Optical Materials

References: 1. Bischel, W. K., and Dyer, M. J., Temperature dependence of the Raman linewidth and lineshift for the Q(1) and Q(0) transitions in normal and para H2, Phys Rev A 33, 3113 (1986). 2. Bischel, W. K., and Dyer, M. J., Wavelength dependence of the absolute Raman gain coefficient for the Q(1) transition in H2, J. Opt. Soc. Am. B 3, 677 (1986). 3. Ottusch, J. J., and Rockwell, D. A., Measurement of Raman gain coefficients of hydrogen, deuterium and methane, IEEE J. Quantum Electron. QE-24, 2076 (1988). 4. Bischel, W. K., Stimulated Raman gain processes in H2, HD and D2, unpublished. 5. Murray, J. R., Goldhar, J., Eimerl, D., and Szoke, A., Raman pulse compression of excimer lasers for application to laser fusion, IEEE J. Quantum Electron. QE-15, 342 (1979). 6. Corat, E. J., Airoldi, V. J. T., Scolari, S. L., and Ghizoni, C. C., Gain measurements in stimulated rotational Raman scattering in para hydrogen, Opt. Lett. 11, 368 (1986). 7. Russel, D. A., and Roh, W. B., High resolution CARS measurements of Raman linewidths of deuterium, J. Mol. Spect. 24, 240 (1987). 8. Smyth, K. C., Rosasco, G. J., and Hurst, W. S., Measurements and rate law analysis of D2 Qbranch line broadening coefficients for collisions with D2, He, Ar, H2 and CH4, J. Chem. Phys. 87, 1001 (1987). 9. Rokni, M., and Flusberg, A., Stimulated rotational Raman scattering in the atmosphere, IEEE J. Quantum Electron. QE-22, 1102 (1986). 10. Herring, G. C., Dyer, M. J., and Bischel, W. K., Temperature and wavelength dependence of the rotational Raman gain coefficient in N2, Opt. Lett. 11, 348 (1986). 11. Carlsten, J. L. and Dunn, P. C., Stimulated stokes emission with a dye laser: intense tunable radiation in the infrared, Opt. Commun. 14, 8 (1975). 12. Cotter, D., Hanna, D. C., Kärkkäinen, P. A., and Wyatt, R., Stimulated electronic Raman scattering as a tunable infrared source, Opt. Commun. 15, 143 (1975). 13. Sorokin, P. P., Wynne, J. J., and Landkard, J. R., Tunable coherent IR source based upon fourwave parametric conversion in alkali metal vapors, Appl. Phys. Lett. 22, 342 (1973). 14. DeMartino, A., Frey, R., and Pradere, F., Tunable far infrared generation in hydrogen fluoride, Opt. Commun. 27, 262 (1978) 15. Cotter, D., Hanna, D. C., Kärkkäinen, P. A., and Wyatt, R., Stimulated electronic Raman scattering as a tunable infrared source, Opt. Commun. 15, 143 (1975). 16. May, P., Bernage, P, and Bocquet, H., Stimulated electronic Raman scattering in rubidium vapour, Opt. Commun. 29, 369 (1979). 17. Byer, R. L. and Trutna, W. R., 16-µm generation by CO2-pumped rotational Raman scattering in H2, Opt. Lett. 3, 144 (1978). 18. Rabinowltz, P., Stein, A., Brickman, R., and Kaldor, A., Efficient tunable H2 Raman laser, Appl. Phys. Lett. 35, 739 (1979). 19. Pochon, E., Determination of the spontaneous Raman linewidth of CF4 by measurements of stimulated Raman scattering in both transient and steady states, Chem. Phys. Lett. 77, 500 (1981). 20. Kinkald, B. E. and Fontana, J. R., Raman cross-section determination by direction stimulated Raman gain measurements, Appl. Phys. Lett. 28, 12 (1975). 21. Roknl, M. and Yatslv, S., Resonance Raman effects in free atoms of potassium, Phys. Lett. 24, 277 (1967). 22. Minck, R. W., Terhune, R. W., and Rado, W. G., Laser-stimulated Raman effect and resonant four-photon interactions in gases H2, D2, and CH4, Appl. Phys. Lett. 3, 181 (1963). 23. Komine, H., Northrop Corp., Palos Verdes, CA (private communication, F. P. Milanovich (1983). 24. Geller, M., Bortfeld, D. P., and Sooy, W. R., New Woodbury-Raman laser materials, Appl. Phys. Lett. 11, 207 (1963).

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6.4.5 Brillouin Phase Conjugation Gases Used for Brillouin Phase Conjugation

Gas Argon, Ar

Wavelength λ (nm)

Refract. index n

1064

Sound speed v s (km/s)

Brillouin shift at λ (GHz)

0.34

Phonon lifetime τp (ns)

Line width ∆v b ( M H z )

3

Gain g (cm/GW) 4

Density ρ (g/cm3)

Ref.

50 a

1

Chlorotrifluoromethane, CClF3 (Freon 13) Dichlorodifluoromethane, CCl2F2 (Freon 12)

2

248

1.001

0.15

1.2

960

0.19

1

Hexafluoroethane, C 2F 6 (Freon 116) Methane, CH4

Sulfur hexafluoride, SF6

2

1064 694 694 694 694 694 1064 694 1064 694 694

0.46

3 32 22 20 20

0.36 0.39 0.14 0.113

10 15

15

20 6 14

8 18 40 72 100

150 a 50 75 105

1 4 4 4 5,6

5b 4 30

150 a 135

7 1 4

6 8 35

20 10 22

1 2 3c

Section 6: Gases

Nitrogen, N2

3c

465

© 2003 by CRC Press LLC

466

Gases Used for Brillouin Phase Conjugation—continued

Xenon

1064 694 694 694 1315

Refract. index n

Sound speed v s (km/s) 0.18

Brillouin shift at λ (GHz)

Phonon lifetime τp (ns)

Line width ∆v b ( M H z )

Gain g (cm/GW)

11

47 10 90 44

35 6d 15

0.149 65

Density ρ (g/cm3) 40 a 20 a 80 a 39 50

Ref. 1 2 2 4 8

aDensity in amagats rather than pressure in atmospheres; bThis is the transient gain; the authors calculate steady-state gain as 30 cm/GW, and give a pressure dependence as well; cSome of the numbers in this row are theoretical calculations; the reference reports energy conversions; dDamzen et. al.2 give the formula tB(ns) = 0.65lL2p (atm). Table from Pepper, D. M., Minden, M. L., Bruesselbach, H. W., and Klein, M. B., Nonlinear optical phase conjugation materials, Handbook of Laser Science and Technology, Suppl. 2: Optical Materials (CRC Press, Boca Raton, FL, 1995), p. 467.

References: 1. Bespalov, V. I., and Pasmanik, G. A., Nonlinear Optics and Adaptive Laser Sytems (Nauka, Moscow, USSR, 1985). Trans. by Translation Division, Foreign Technology Division, Wright Patterson Air Force Base, OH, document FTD-ID(RS)T-0889-86. 2. Damzen, M. J., Hutchinson, M. H. R., and Schroeder, W. A., Direct measurement of the acoustic decay times of hypersonic waves generated by SBS, IEEE J. Quantum Electron. QE-23, 328 (March 1987). 3. Tomov, I. V., Fedosejevs, R., and McKen, D. C. D., Stimulated Brillouin scattering of KrF laser radiation in dichlorodifluoromethane, IEEE J. Quantum Electron. QE-21, 9 (January 1985). 4. Kovalev, V. I., Popovichev, V. I., Ragul’skii, V. V., and Faizullov, F. S., Gain and line width in stimulated Brillouin scattering in gases, Kvantovaya Elektronika, Moskva (Sov. J. Quantum Electron.), no.7 (2, no.1), 78–80 (69–71) (July–Aug. 1972). 5. Hammond Jr., C. M., and Wiggins, T. A., Rayleigh-Brillouin scattering from methane, J. Chem. Phys. 65, 2788 (1 Oct. 1976). 6. Cazabat, A. M., and Larour, J., Rayleigh-Brillouin scattering in compressed gases, J. Phys. 36, 1209 ( Dec. 1975). 7. Hagenlocker, E. E., Minck, R. W., and Rado, W. G., Effects of phonon lifetime on stimulated optical scattering in gases, Phys. Rev. 154, 226 (1967). 8. Dolgopolov, Yu V., Komarevskii, V. A., Kormer, S. B., Kochemasov, G. G., Kulikov, S. M., Murugov, V. M., Nikolaev, V. D., and Sukharev, S. A., Experimental investigation of the feasibility of applying the wave front reversal phenomenon on induced Mandelstam-Brillouin scattering, Z. Eksperiment. Teoret. Fiziki (Sov. Phys.-JETP) 76, 908 (March 1979).

© 2003 by CRC Press LLC

Handbook of Optical Materials

Gas

Wavelength λ (nm)

Section 6: Gases

467

6.5 Magnetooptic Properties Verdet Constant V (degrees/Tesla meter) of Gases at 273 K 363.5

400

500

Wavelength (nm) 600 700 800

900

He

0.0209

0.0168

0.0106

0.0074

0.0054

0.0041

0.0034

Ne

0.0388

0.0326

0.0204

0.0137

0.0090

0.0064

0.0052

0.0047

Ar

0.4106

0.3297

0.2055

0.1403

0.1004

0.0768

0.0610

0.0516

Kr

0.8637

0.6820

0.4232

0.2855

0.2040

0.1531

0.1203

0.1004

Xe

2.1112

1.64492 1.0055

0.6684

0.4766

0.3567

0.2812

0.2354

H2

0.2882

0.2308

0.1425

0.0969

0.0690

0.0531

0.0422

0.0351

D2

0.2815

0.2221

0.1375

0.0943

0.0679

0.0522

0.0413

0.0344

O2

0.1948

0.1620

0.1144

0.0886

0.0725

0.0631

0.0568

0.0536

N2

0.2820

0.2268

0.1407

0.0968

0.0698

0.0527

0.0421

0.0359

CO2

0.4205

0.3391

0.2104

0.1445

0.1044

0.0789

0.0583

0.0536

CH4

0.7875

0.6246

0.3861

0.2618

0.1881

0.1433

0.1140

0.0953

987.5

Noble gases

Other gases

References: Ingersoll, L. R. and Liebenberg, D. H., Faraday effect in gases and vapors. I, J. Opt. Soc. Am. 44, 566 (1954). Ingersoll, L. R. and Liebenberg, D. H., Faraday effect in gases and vapors. II, J. Opt. Soc. Am. 46, 538 (1956).

6.6 Atomic Resonance Filters Atomic resonance filters (ARFs) are a class of filter devices that have very narrow bandwidth (~0.001 nm) and a wide field of view (180°). A cell containing atomic vapor (e.g., Rb, Cs, etc.) is placed between two narrow bandpass filters. The input filter has a peak transmission wavelength corresponding to a strong electron transition in the vapor species. Incoming light is then strongly absorbed, yielding an excited state population which decays, emitting photons of a second wavelength. The bandpass of the output filter corresponds to the emitted wavelength. Use of both ground state (passive operation) and excited state (laser-pumped operation) transitions have been reported for a variety of atomic vapors operating at a variety of wavelengths. A detailed review of the physics of ARFs is given by Gelbwachs.1 Atomic Resonance Filters Atomic species

Wavelength

Pump

Input

Output

source

Na

1480 nm 2340 nm 3420 nm

489 nm 569 nm 616 nm

optical optical optical

2 2 2

K

~10.6 µm

497 nm

optical

3

Rb

20,487–776 nm 459 nm

420 nm 894 nm

diode laser none

1 4

© 2003 by CRC Press LLC

Ref.

468

Handbook of Optical Materials Atomic Resonance Filters—continued

Atomic

Wavelength

species Cs a Tl Mg Caa

Pump

Input

Output

source

Ref.

456 nm 534 nm 535 nm

852 nm 404 nm 378 nm

none diode laser photochemical

518 nm

384 nm

Nd:YAG

7

423 nm

272 nm

diode laser

8

4 5 6

a Not experimentally verified.

An alternative atomic resonance filter design is the Faraday anomalous dispersion optical filter (FADOF).2,3 An atomic vapor cell is placed in a magnetic field between crossed polarizers. The resonant Faraday effect causes polarization rotation at frequencies corresponding to atomic transitions. At other frequencies rotation is negligible. Thus, by proper adjustment of atomic vapor concentration, cell length, and magnetic field strength, ultranarrow-linewidth bandpass filters may be produced. FADOFs do not shift the output wavelength, and no reponse delay occurs. In principle, transmission is near unity at the center of the filter bandpass for linearly polarized incident light. Atomic Faraday Filter Data Atomic species

Operating wavelength ( n m )

K Rb Cs

766, 770 780 852

Peak transmission 71 63 82

(%)

Bandwidth (GHz)

Rejection ratio

1.6 1.0 0.6

10 5 10 5

Ref. 9 9 10

The above table is from Cook, L. M., Filter materials, Handbook of Laser Science and Technology, Suppl. 2: Optical Materials (CRC Press, Boca Raton, FL, 1995), p. 115 (with additions).

References: 1. Gelbwachs, J., Atomic resonance filters, IEEE J. Quantum Electron. 24, 1266 (1988). 2. Gelbwachs, J., Klein, C., and Wessel, J., Infrared detection by an atomic vapor quantum counter, IEEE J. Quantum Electron. QE-14, 77 (1978). 3. Gelbwachs, J., and Wessel, J., Atomic vapor quantum counter: narrow-band infrared upconverter, IEEE Trans. Electron. Dev. ED-27, 99 (1980). 4. Marling, J., Nilsen, J., West, L., and Wood, L., An ultrahigh Q isotropically sensitive optical filter employing atomic resonance transitions, J. Appl. Phys. 50, 610 (1979). 5. Shay, T., Ultrahigh-resolution, wide-field-of-view Cs optical filter for doubled Nd lasers, Opt. Commun. 77, 368 (1990). 6. Liu, C., Chantry, P., and Chen, C., A 535 nm active atomic line filter employing the thallium metastable state as the absorbing medium, SPIE Proc. 709, 132 (1986). 7. Chan, Y., Tabat, M., and Gelbwachs, J., Experimental demonstration of internal wavelength conversion in the magnesium atomic filter, Opt. Lett. 14, 722 (1989). 8. Gelbwachs, J., 422.7-nm atomic filter with superior solar background rejection, Opt. Lett. 15, 236 (1990). 9. Zhang, Y., Jia, X., Ma, Z., and Wang, Q., Potassium Faraday optical filter in line-center operation, Opt. Commun. 194, 147 (2001). 10. Dick, D., and Shay, T., Ultrahigh-noise rejection optical filter, Opt. Lett. 16, 867 (1991). 11. Menders, J., Benson, K., Bloom, S., Liu, C., and Korevaar, E., Ultranarrow line filtering using a Cs Faraday filter at 852 nm, Opt. Lett. 16, 846 (1991).

© 2003 by CRC Press LLC

Appendices

Appendix I Appendix II

Safe Handling of Optical Materials Abbreviations, Acronyms, Initialisms, and Mineralogical or Common Names of Optical Materials Appendix III Abbreviations for Methods of Preparing Optical Materials and Thin Films Appendix IV Fundamental Physical Constants Appendix V Units and Conversion Factors © 2003 by CRC Press LLC

Appendix I

471

APPENDIX I Safe Handling of Optical Materials When using any optical material—solid, liquid, or gas—it is always advisable to consult the Material Safety Data Sheet (MSDS). These informative documents prepared by the manufacturer or importer of a hazardous substance describe the physical and chemical properties of the product, are helpful in understanding potential health and physical hazards, and describe how to respond effectively to exposure situations. They include information such as hazardous ingredients, physical data of the material, fire and explosion hazard data, health hazard data, reactivity data, spill or leak procedures, special protection information, and emergency and first aid procedures. Hazards associated with optical materials depend on how the material is used. This is particularly important in the case of liquids where properties such as viscosity, toxicity, and system compatibility may need to be considered. Within the refractive index range of 1.45 to 1.55 there are so many possible liquids that one can easily choose one with low toxicity. Outside this range of indices the choices of liquid are fewer, thus some degree of toxicity may be unavoidable and the use of ventilation, fume hoods, protective gloves, eye protection, and other protective devices may be mandatory. When working with optical liquids, it is always a good idea to wear appropriate gloves and eye protection and to work where ventilation is sufficient. The following tables present information about the suitability of various common glove materials for handling liquids and about the flammability of selected liquids. Resistance to Liquids of Common Glove Materials Natural rubber

Liquid

Neoprene

Nitrile

Vinyl

acetic acid, C2H4O2

excellent

excellent

excellent

excellent

acetone, C3H6O

good

good

good

fair

benzene,a C6H6

poor

fair

good

fair

carbon disulfide, CS2

poor

poor

good

fair

poor

fair

good

fair

fair

excellent

—

poor

carbon

tetrachloride,a

CCl4

cyclohexane, C6H 12 diethyl ether, CH2Cl2

fair

good

excellent

poor

dimethylsulfoxide,b C2H 6OS

—

—

—

—

ethylene glycol, C2H 6O 2

good

good

excellent

excellent

glycerine (glycerol), C3H 8O 3

good

good

excellent

excellent

hexane, C6H14

poor

excellent

—

poor

toluene, C7H 8

poor

fair

good

fair

a

Aromatic and halogenated hydrocarbons will attack all types of natural and synthetic glove materials. b No data are available on the resistance to methylsulfoxide of natural rubber, neoprene, nitrile rubber, or vinyl materials; the manufacturer recommends the use of butyl rubber gloves.

© 2003 by CRC Press LLC

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Flammability of Selected Liquids Properties listed in the table below: Boiling point: at a pressure of 101.325 kPa. Flash point: minimum temperature at which the vapor pressure of the liquid is sufficient to form an ignitable mixture with air near the surface of the liquid. Ignition temperature (also called autoignition temperature): minimum temperature required for self-sustained combustion in the absence of an external ignition source. Both the flash point and the ignition temperature are not intrinsic properties but depend on the test conditions. Observed values may differ by several degrees and large uncertainties should be assumed. Flammability Liquid acetic acid, C2H4O2

Boiling point (ºC)

Flash point (ºC)

Ignition temperature (ºC)

117.9

39

463

acetone, C3H6O

56

-20

465

benzene, C6H6

80.0

-11

498

carbon disulfide, CS2

46

-30

90

cyclohexane, C6H 12

80.7

-20

245

1,2-dichloroethane, C2H 4Cl2

83.5

13

413

dicloromethane, CH 2Cl2

40

—

556

34.5

-45

180

95

215

diethyl ether, C4H 10O dimethylsulfoxide, C2H 6OS

189

1,4-dioxane, C4H 8O 2

101.5

12

180

78.2

13

363

ethylene glycol, C2H 6O 2

197.3

111

398

glycerine (glycerol), C3H 8O 3

290

199

370

ethanol, C2H6O

heptane, C7H 16

98.5

—

204

hexane, C6H14

68.7

-22

225

methanol, CH4O

64.6

11

464

methylcyclohexane, C7H 14

100.9

250

nitrobenzene, C6H5NO2

210.8

88

482

toluene, C7H 8

110.6

4

480

Data for the above tables are from the CRC Handbook of Chemistry and Physics, 82nd ed., Lide, D. R., Ed. (CRC Press, Boca Raton, FL, 2001), p. 16–13 and 16–16. This reference contains extensive data on the flammability of many additional chemical substances.

© 2003 by CRC Press LLC

Appendix I

473

References: The internet site www.MSDS-Search.com provides links to all major online MSDS databases. Other references to the handling and disposition of hazardous materials include: Prudent Practices for Handling Hazardous Chemicals in Laboratories, National Academy Press, Washington, DC (1981). Prudent Practices for Disposal of Chemicals from Laboratories, National Academy Press, Washington, DC (1981). Fire Protection Guide to Hazardous Materials, 10th edition, National Fire Protection Association, Quincy, MA (1991). Bretherick, L., Handbook of Reactive Chemical Hazards, 3rd edition, (Butterworths, London-Boston, 1985). Urben, P. G., Ed., Bretherick's Handbook of Reactive Chemical Hazards, 5th edition (Butterworth-Heinemann, Oxford, 1995).

© 2003 by CRC Press LLC

Appendix II

475

APPENDIX II Abbreviations, Acronyms, Initialisms, and Mineralogical or Common Names of Optical Materials α-quartz αβ-YAG AANP AB5 ABS

silicon dioxide (crystal) alphabet YAG 2-adamantylamino-5-nitropyridine ammonium pentaborate acrylonitrile, butadiene, styrene terpolymer

acrylic ADA AD*A(a) ADC ADP AD*P AGS AGSe AHC alexandrite ALON altaite alumina AMTIR AN anatase andalusite anglesite AODCST apatite APDA

polymethyl methacrylate ammonium dihydrogen arsenate deuterated ammonium dihydrogen arsenate allyl diglycol carbonate ammonium dihydrogen phosphate deuterated ammonium dihydrogen phosphate silver gallium silicate silver gallium sellenide alkali halide crystal Cr-doped chrysoberyl aluminum oxynitride lead selenide aluminum oxide amorphous GeAsSe (glass) acrylonitrile titanium dioxide aluminum silicate lead sulfate alkyl-oxydicyanostyrene calcium phosphate plus fluorine or chlorine 8-(4'-acetylphenyl)-1,4-dioxa-8azaspiro[4,5]decane APO amorphous polyolefin aragonite calcium carbonate ASN strontium magnesium aluminate ATCC allythiourea cadmium chloride AZF alumino-zirco-fluoride (glass) β"-alumina beta double-prime alumina BANANAS barium sodium niobate © 2003 by CRC Press LLC

SiO2 Y3Al5O12:Ho3+,Er3+,Tm3+ NH4B5O8•4H2O [CH2CH(CN)]x-[CH2CHCHCH2]y[CH2CH(C6H5)]z [CH2C(CH3)(COOCH3)]n NH4H2AsO4 NH4(H,D)2AsO4 O(CH2CH2OCOOCH2CHCH2)2 NH4H2PO4 NH4(H,D)2PO4 AgGaS2 AgGaSe2 BeAl2O4:Cr 5AlN-9Al2O3 PbSe Al2O3 GeAsSe [CH2CH(CN)]n TiO2 Al2SiO5 PbSO4 Ca5(PO4)3(F,OH,Cl)

[CH2CRR']n CaCO3 SrMgAl11O19 variable compositions Na1+xMgxAl11-xO17 Ba2NaNb5O15

476

Handbook of Optical Materials

Abbreviations, Acronyms, Initialisms, and Mineralogical or Common Names of Optical Materials—continued barite BBB BBcP BBO BCBF BCT BEL berlinite beryl BFAP BGO BGO BIBO BIG BIGGSe BluB BMAG BNB BOV bromellite bromyrite brookite BSG BSKNN BSO BST BSTN BT BTO BYF BZMA CAAP CAB

barium sulfate beta barium borate 2,5-bis(benzylidene) cycloheptanone barium metaborate barium calcium fluoroborate barium calcium titanate lanthanum beryllate aluminum phosphate beryllium aluminum silicate barium fluoroapatite bismuth germanate bismuth germanium oxide bismuth metaborate bismuth substituted iron garnet barium-indium-gallium-germanium selenide glass barium lanthanium borate barium magnesium germinate m-bromonitrobenzene barium vanadate beryllium oxide silver bromide titanium dioxide borosilicate glass barium strontium potassium sodium niobate bismuth silicate barium strontium titanate barium strontium titanium niobate barium titanate bismuth titanate barium yttrium fluoride benzyl methacrylate calcium fluoroarsenite cellulose acetate butyrate

CaGB calcite

calcium gadolinium borate calcium carbonate

© 2003 by CRC Press LLC

BaSO4 β-BaB2O4 BaB2O4 BaCaBO3F Ba0.77Ca0.23TiO3 La2Be2O5 AlPO4 Be3Al2(SiO3)6 Ba5(PO4)3F Bi12GeO20 Bi4Ge3O12 BiB3O6 Bi3xY3(1-x)Fe5O12 variable compositions Ba3La(BO3)3 Ba2MgGe2O7 Br(C6H4NO2) Ba5(VO4)3 BeO AgBr TiO2 variable compositions Ba2-xSrxK1-yNayNb5O15 Bi12SiO20 Ba1-xSrxTiO3 Ba4Sr2Ti2Nb8O30 BaTiO3 Bi12TiO20 BaY2F8 [CH2C(CH3)(COOCH2C6H5)]n Ca5(AsO4)3F (C6H7O2)(C2H3O2)x(C4H7O2)y(OH)z Ca3Gd2(BO3)4 CaCO3

Appendix II

477

Abbreviations, Acronyms, Initialisms, and Mineralogical or Common Names of Optical Materials—continued CALO calomel CAMGAR CAS cassiterite CAT CAZGAR CBN CBO CBS CDA CD*A cerargyrite cerussite CGA CGS ChG chrysoberyl cinnabar CIS CIGS CLBO CMP-M CMT CNGG COANP colquiriite corundum cotunnite CPAP CPF CR 39 cristobalite cryolite CS-FAP CTA

cerium aluminate mercurous chloride calcium magnesium garnet calcium aluminum silicate tin oxide cadmium triallyd thiource calcium zinc garnet cubic boron nitride cesium triborate carbon black suspension cesium dihydrogen arsenate deuterated cesium dihydrogen arsenate silver chloride lead carbonate cadmium germanium arsenate calcium gallium silicate chalcogendie glass beryllium aluminate mercury sulfide copper indium diselenide copper indium gallium diselenide cesium lithium triborate 2-cyano-3-(2-methyl phenyl)-propenoic acid methyl ester cadmium mercury telluride calcium niobate gallium garnet 2-cyclo-octylamino-5-nitropyridine lithium calcium aluminum fluoride aluminum oxide, alumina lead chloride calcium fluoroapatite calcium fluoroapatite allyl diglycol carbonate silica (allotropic form) sodium fluoroaluminate calcium-strontium fluoroapatite cesium titanyl arsenate

© 2003 by CRC Press LLC

CeAlO3 HgCl CaY2Mg2Ge3O12 Ca2Al2SiO7 SnO2 CaZn2Y2Ge3O12 BN CsB3O5 C + liquid CsH2AsO4 Cs(H,D)2AsO4 AgCl PbCO3 CdGeAs2 Ca2Ga2SiO7 variable compositions BeAl2O4 HgS CuInSe2 CuIn1-xGaxSe2 CsLi(BO3)3O

Cd1-xHgxTe Ca3(NbLiGa)5O12 LiCaAlF6 Al2O3 PbCl 2 Ca5(PO4)3F Ca5(PO4)3F [O(CH2CH2OCOOCH2CHCH2)2]n SiO2 Na3AlF6 (Ca,Sr)5(PO4)3F CsTiOAsO4

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Handbook of Optical Materials

Abbreviations, Acronyms, Initialisms, and Mineralogical or Common Names of Optical Materials—continued CTH:YAG CTP cunyite CVAP CWO CYB CYS CZ CZT DAN DANS DAST DBNMNA DCANP D-CDA DCM DCMNA DEANS` DEANST diamond diopside D-KB5 D-KDA D-KDP D-LAP DMC DMNP DMSM dolomite D-RDA DTGS ECOB EDDT elpasolite

chromium-thulium-holmium doped YAG cesium titano phosphnate calcium germanate calcium fluorovandate cadmium tungstate calcium yttrium borate calcium yttrium silicate oxyapatite cubic zirconia cadnium zinc telluride 4-(N,N-dimethylamino)-3-nitroacetanilide 4-di-methylamino-4'-nitrostilbene dimethylamino-N-methyl-4stilbazolium-tosylate 2,6-dibromo-N-methyl-4-nitroailne 2-docosylamino-5-nitropyridine deuterated cesium dihydrogen arsenate 4-dicyanomethylene-2-methyl-6dimethylamino-4'-nitrostyrene 2-docosyl-2-methyl-4-nitroaniline 4-di-ethylamino-4'-nitrostilbene 4-(N,N-diethylamino)-b-nitrostyrene carbon calcium magnesium silicate deuterated potassium pentaborate deuterated potassium dihydrogen arsenate deuterated potassium dihydrogen phosphate deuterated L-arginine phosphate 7-dimethylamino-4-methylcoumarin 3,5-dimethyl-1-(4 nitrophenylpyrzole trans-4'-dimethylamino-N-methyl-4stilbazolium methyl sulfate calcium magnesium carbonate deuterated rubidium dihydrogen arsenate deuterated triglycine sulfate erbium calcium oxyborate ethylene diamine dextrotartrate potassium sodium aluminum fluoride

© 2003 by CRC Press LLC

Y3Al5O12:Cr,Tm,Ho CsTiOPO4 Ca2GeO4 Ca5(VO4)3F CdWO4 Ca3Y2(BO3)4 CaY4(SiO4)3O ZrO2 (Cd,Zn)Te

Cs(H,D)2AsO4

C CaMgSi2O6 KB5O8•4D2O K(H,D)2AsO4 K(H,D)2PO4 [C6H7+xD8-xN4O2]+•H2PO4.H2O C14H17NO2

CaMg(CO3)2 Rb(H,D)2AsO4 [N(H,D)2CH2COOH)3•H2SO4 ErCa4(BO3)3O C6H14N2O6 K2NaAlF6

Appendix II

479

Abbreviations, Acronyms, Initialisms, and Mineralogical or Common Names of Optical Materials—continued emerald eulytite EVA EYAB FAG FAP FEP fluorapatite fluorite forsterite fused quartz fused silica GAB gahnite galena garnet GASH g-C gelenite GFG GGG GIGG GLF GLS GLS GOS greenockite grossularite GSAG GSGG GSO GVO GYAG halite HAP hematite HMF

Cr-doped beryl bismuth silicate ethylene-vinyl acetate erbium yttrium aluminum borate fluoroaluminate glass calcium fluoroapatite perfluorinated ethylene propylene calcium phosphate fluoride calcium fluoride magnesium silicate silicon dioxide (amorphous)(b) silicon dioxide (amorphous) gadolinium aluminate borate zinc aluminate lead sulfide complex family of mineral compositions quanidinium aluminate sulfate hexahydrate graphite calcium aluminium silicate gallium fluoride garnet gadolinium gallium garnet gadolinium indium gallium garnet gadolinium lithium tetrafluoride generating luminescence stekla (Russian) gallium lanthanum sulfide (glass) gadolinium oxysulfide cadmium sulfide calcium aluminum silicate garnet gadolinium scandium aluminum garnet gadolinium scandium gallium garnet gadolinium orthosilicate gadolimium vanadate gadolimium-yttrium luminum garnet sodium chloride high-average-power (laser) glass ferric oxide heavy metal fluoride (glass)

© 2003 by CRC Press LLC

Be3Al2Si6O18:Cr Bi4Si3O12 [CH2CH2]x-[CH2CH(OCOCH3)]v YAl3(BO3)4:Er variable compositions Ca5(PO4)3F Ca5(PO4)3(F,Cl,OH) CaF2 Mg2SiO4 SiO2 SiO2 GdAl3(BO3)4 ZnAl2O4 PbS A3B2C3O12 (CN3H6)Al(SO4)2•6H2O C Ca2Al2SiO7 Na3Ga2Li3F12 Gd3Ga5O12 Gd3In2Ga3O12 GdLiF4 laser glass ~70GaS–30La2O3 Gd2O2S CdS Ca3Al2Si3O12 Gd3Sc2Al3O12 Gd3(Sc,Ga)2Ga3O12 Gd2SiO5 GdVO4 (Gd,Y)3Al5O12 NaCl variable compositions Fe2O3 variable compositions

480

Handbook of Optical Materials

Abbreviations, Acronyms, Initialisms, and Mineralogical or Common Names of Optical Materials—continued HMO HPP glass hydroxyapatite ilmenite iodyrite Irtran 1 Irtran 2 Irtran 3 Irtran 4 Irtran 5 Irtran 6 ITO KABO KAP KB5 KBBF KCND KDA KD*A(a) KDP KD*P(a) KGW KLGF KLN KLND KLTN KLYF KN KNB KNLF KNSBN KRS-5 KRS-6 KRTA KSAG KTA

heavy metal oxde (glass) high-peak-power (laser) glass calcium phosphate hydroxide

variable compositions variable compositions Ca5(PO4)3OH

iron titanate silver iodide magnesium fluoride (polycrystalline) zinc sulfide (polycrystalline) calcium fluoride (polyscrystalline) zinc selenide (polycrystalline) magnesium oxide (polycrystalline) cadmium tellurite (polycrystalline) indium tin oxide potassium aluminum borate potassium acid phthalate potassium pentaborate potassium beryllium borate fluoride potassium cerium nitrate dihydrate potassium dihydrogen arsenate deuterated potassium dihydrogen arsenate potassium dihydrogen phosphate deuterated potassium dihydrogen phosphate potassium gadolinium tungstate potassium lithium gadolinium fluoride potassium lithium nitrate potassium lanthanum nitrate dihydrate potassium lithium tantalate niobate potassium lithium yttrium fluoride potassium niobate potassium niobium borate potassium neodymium lithium fluoride potassium sodium strontium barium niobate thallium bromoiodide thallium chlorobromide potassium-rubidium titanyl arsenate lutetium scadium aluminum garnet potassium titanyl arsenate

FeTiO3 β-AgI MgF2 ZnS CaF2 ZnSe MgO CdTe ~0.9In2O3–0.1SnO2 K2Al2B2O7 C8H5O4K KB5O8•4H2O KBeBO3F2 K2Ce(NO3)5.H2O KH2AsO4 K(H,D)2AsO4 KH2PO4 K(H,D)2PO4 KGd(WO4)2 KLiGdF5 K3Li2-xNb5+xO15+2x K2La(NO3)5.2H2O K1-yLiyTa1-xNbxO3 KLiYF4 KNbO3 KNbB2O6 K5NdLi2F10 (KxNa1-x)0.4(SryBa1-y)0.8Nb2O6 Tl(Br1-x,Ix) Tl(Cl1-x,Brx) (K,Rb)TiOAsO4 Lu3Cs2Al5O12 KTiOAsO4

© 2003 by CRC Press LLC

Appendix II

481

Abbreviations, Acronyms, Initialisms, and Mineralogical or Common Names of Optical Materials—continued KTN KTP KTP-GTR kyanite KYF LABO LAP LB LBG LBO LC Lexan LFM LGO LGS LI LiBAF LiCAF LiChrom LiSAF LiSGaF litharge LLF LLGG LMA LN LNA LNP LNPP LOP LSB LSO LT LuAG Lucalox magnesite

potassium tantalate niobate potassium titanyl phosphate potassium titanyl phosphate-greytrack resistant aluminum silicate potassium yttrium fluoride lanthanum metaborate L-arginine phosphate Langmuir–Blodgett (film) lanthanium boron germanium oxide lithium triborate liquid crystal polycarbonate plastic lithium formate monohydrate lithium germanate lanthanum gallium silicate lithium iodate lithium barium aluminum fluoride lithium calcium aluminum fluoride lithium strontium chromium fluoride lithium strontium aluminum fluoride lithium strontium gallium fluoride lead oxide Lutetium lithium fluoride lanthanum lutetium gallium garnet lanthanum magnesium hexaluminate lithium niobate lanthanum neodymium hexaluminate lithium neodymium tetraphosphate lanthum neodymium pentaphosphate lutetium orthophosphate lanthanium scandium borate lutetium silicon oxide (orthosilicate) lithium tantalate lutetium aluminum garnet alumina (polycrystalline) magnesium carbonate

© 2003 by CRC Press LLC

KTa1-xNbxO3 KTiOPO4 KTiOPO4 Al2SiO5 KYF4 LaB3O6 [C6H15N4O2]+ •H2PO4-•H2O various compositions LaBGeO5 LiB3O5 various compositions [OCOOC6H4C(CH3)2C6H4]n LiHCO2•H2O Li2GeO5 La3Ga5SiO14 LiIO3 LiBaAlF6 LiCaAlF6 LiSrCrF6 LiSrAlF6 LiSrGaF6 PbO LuLiF4 (La,Lu)3(Lu,Ga)2Ga3O12 LaMgAl11O19 LiNbO3 LaMgAl11O19:Nd LiNdP4O12 La1-xNdxP5O14 LuPO4 LaSc3(BO3)4 Lu2SiO5 LiTaO3 Lu3Al5O12 Al2O3 MgCO3

482

Handbook of Optical Materials

Abbreviations, Acronyms, Initialisms, and Mineralogical or Common Names of Optical Materials—continued magnetite MAP massicot MBANP MBBF MCT MEH-PPV

mullite NAB nantokite NAS

iron oxide methyl-(2,4-dinitrophenyl)-aminopropanoate lead oxide 2-(a-methyl benzylamino)-5-nitropyridine alkali metal beryllium borate fluoride mercury cadmium telluride poly(2-methoxy-5-(2'-ethyl-hexyloxy)-1,4phenylene vinylene MgO-doped lithium niobate MgO-doped stoichiometric lithium niobate potassium aluminosilicate methylmethacrylate 3-methyl-4-methoxy-4'-nitrostilbene 2 methyl-4-nitro-aniline 4-methoxy-4'-nitro-diphenyl-diacetylene2-methyl-4-nitro-N-methylaniline 4-methyl-4'-nitrolan rare earth phosphate modified polymethylmethacrylate magnesium silicate 5-methylthio-thiophenecarboxaldehyde-4nitrophenyl-hydrazone aluminum silicate neodymium aluminum borate copper chloride methyl methacrylate styrene copolymer

NBD-Cl NdPP NGAB NMBA NPP NPP NPPA NYAB olivine ORMOSIL

7-chloro-4'-nitrobenzo-2-oxa-1,3-diazole neodymium pentaphosphate neodymium gadolinium aluminum borate 4-nitro-4'-methyl-benzylidene aniline N-4-nitrophenyl-(L,S)-prolinol neodymium pentaphosphate N-(4-nitro-2-pyridinyl)-phenylalaninol neodymium yttrium aluminum borate magnesium iron silicate organic modified silicate

Mg:LN Mg:SLN mica MMA MMONS MNA MND MNMA MNT monazite MPMMA MSO MTTNPH

© 2003 by CRC Press LLC

Fe3O4 C10H12N3O6 PbO (Na,K)BeBO3F2 HgCdTe

Mg:LiNbO3 Mg:LiNbO3 KAl3Si3O10.(OH)2 CH2C(CH3)(COOCH3) CH3NH2NO2C6H4

(rare earth)PO4 Mg2SiO4

Al6Si2O13 NdAl3(BO3)4 CuCl [CH2C(CH3)(COOCH3)]x[CH2CH(C6H5)]y NdP5O14 NdxGd1-xAl3(BO3)4

NdP5O14 NdxY1-xAl3(BO3)4 (Mg,Fe)2SiO4 SiO2

Appendix II

483

Abbreviations, Acronyms, Initialisms, and Mineralogical or Common Names of Optical Materials—continued orpiment PAMS paratelluride PBDG PBLG PBN PBSP PBT PBZT PCS PDA PDBT PDHG PDHS PDLC periclase perovskite PET PGO plattnerite PLZT PMMA PMPS PNP POF poly4BCMU POM POMT PSC powellite PPKTP PPLN PPLT PPNA PPRTA PPV

arsenic trisulfide poly(alpha-methylstyrene) tellurium oxide poly(g-benzl-D-glutamate) poly(g-benzl-L-glutamate) lead barium niobate photonic band-gap structure polybenzothiazole poly(p-phenylene benzo bis thiozole) plastic clad silica polydiacetylene poly(3,4-dibutoxythiophene poly(di-n-hexylgermane) poly(di-n-hexylsilane) polymer dispersed liquid crystal magnesium oxide calcium titanate pentaery-thritol lean germanium oxide lead oxide lead lanthanum zirconium titanate polymethylmethacrylate poly(methyl phenyl silane) 2-(N-prolinol)-5-nitropyridine plastic optical fiber polydiacetylene poly-[5,7-dodecadiyn-2,12diol-bis(n-butoxycarbonyl-methyl-urethane] 3-methyl-4-nitropyridine-1-oxide poly(3-octyloxy,4-methyl thiophene) porous silicon carbide calcium molybdate periodically poled potassium titanyl phosphate periodically poled lithium niobate periodically poled lithium tantalate poly-p-nitroaniline periodically poled rubidium titanyl arsenate poly(p-phenylene vinylene)

© 2003 by CRC Press LLC

As2S3 TeO2

Pb1-xBaxNb2O6 variable compositions [C6H3NSC]n

[C(R)CCC(R)]n

variable compositions MgO CaTiO3 [OCH2CH2OOCC6H4CO]n Pb5Ge3O11 PbO PbLa(Zr,Ti)O3

variable compositions

NO2• CH3NOC5H4 SiC CaMoO4 KTiOPO4 LiNbO3 LiTaO3 RbTiOAsO4

484

Handbook of Optical Materials

Abbreviations, Acronyms, Initialisms, and Mineralogical or Common Names of Optical Materials—continued proustite PrPP PS PSG PSZ PT PTB PTG PTOPT PTS

silver arsenic sulfide praseodymium pentaphosphate polystyrene porous silica glass partially stabilized zirconia polythiophene lead tetraborate poly(3-hexylthiophene poly-[3-(4-octylphenyl)]-2,2'-bithiophene poly-bis-(p-toluene sulfonate)-2,4-hexazine -1,6-diole PTV poly(2,5-thienyl vinylene) PU polyurethane pucherite bismuth vanadate PV polyvinylxylene PVA polyvinyl alcohol PVF2 polyvinylidene fluoride PVP polyvinyl-pyrrolidimone pyrite iron sulfide PZT lead zirconium titanate QC quantum crystallite (quantum dot) quartz silicon dioxide (crystal) RAP rubidium acid phthalate RB5 rubidium pentaborate RbAP rubidim acid phthalate RDA rubidium dihydrogen arsenate RD*A deuterated rubidium dihydrogen arsenate RDP rubidium dihydrogen phosphate RD*P deuterated rubidium dihydrogen phosphate RGB rubidium gadolinium bromide rochelle salt sodium potassium tartrate rocksalt sodium chloride RTA rubidium titanyl arsenate RTP rubidium titanyl phosphate ruby Cr-doped corundum (sapphire) rutile titanium dioxide SAN styrene acrylonitrile copolymer © 2003 by CRC Press LLC

Ag3AsS3 PrP5O14 [CH2CH(C6H5)]n SiO2 ZrO2: (Mg,Ca,Y) PbB4O7

[OCONHRNHCOOR']n BiVO4 [CH2CH(CH2C6H4CH3)]n

FeS2 Pb(Zr,Ti)O3 SiO2 C8H5O4Rb RbB5O8•4H2O CO2HC6H4CO2Rb RbH2ASO4 Rb(H,D)2AsO4 RbH2PO4 Rb(H,D)2PO4 RbGd2Br7 NaKC4H4O6•4H2O NaCl RbTiOAsO4 RbTiOPO4 Al2O3:Cr TiO2 [CH2CH(C6H5)]x-[CH2CH(CN)]v

Appendix II

485

Abbreviations, Acronyms, Initialisms, and Mineralogical or Common Names of Optical Materials—continued sapphire sapphire SBA SBBO SBN SCAB scheelite SDG sellaite S–FAP SGGM silica SIMOX SLG SMA SMMA

aluminum oxide aluminum oxide (gemstone) sodium-β'' alumina strontium beryllium borate strontium barium niobate scandium aluminum beryllate calcium tungstate semiconductor-doped glass magnesium fluoride strontium fluoroapatite strontium gadolinium gallium melilite silicon dioxide separation by implanation of oxygen (silicon-on-insulator material) strontium lanthanum gallate polystyrene co-maleic anhydride polystyrene co-methyl methacrylate

SNA SOAP SOI SOS SPAP SPF spodumene sphalerite STRAP sphalerite spinel spodumene SrYBO styrene STZO S-VAP sylvite SYS T-12

strontium aluminate calcium silico-oxyapatite silicon-on-insulator (material) silicon (Si) epitaxial film on sapphire substrate strontium fluoroapatite strontium fluoroapatite lithium aluminum silicate zinc sulfide (cubic) strontium fluoroapatite zinc sulfide magnesium aluminate lithium aluminum silicate strontium yttrium borate polystyrene strontium titanate zironate strontium vanadium fluoroapatite potassium chloride strontium yttrium silicate oxyapatite barium fluoride-calcium fluoride

© 2003 by CRC Press LLC

Al2O3 Al2O3:Ti,Fe Na1+xMgxAl11-xO17 Sr2Be2B2O7 Sr1-xBaxNb2O6 ScAlBeO4 CaWO4 variable compositions MGF2 Sr5(PO4)3F SrGdGaO7 SiO2

SrLaGa3O7 [CH2CH(C6H5)CH(COOCO)CH]n [CH2C(CH3)(COOCH3)]x[CH2CH(C6H5)]y SrAl12O19 CaY4(SiO4)3O Si/Al2O3 Sr5(PO4)3F Sr5(PO4)3F LiAlSi2O6 ZnS Sr5(PO4)3F ZnS MgAl2O4 LiAlSi2O6 Sr3Y(BO3)3 ~0.8SrTiO3–0.2ZrO2 Sr5(VO4)3F KCl SrY4(SiO4)3O BaF2-CaF2

486

Handbook of Optical Materials

Abbreviations, Acronyms, Initialisms, and Mineralogical or Common Names of Optical Materials—continued TAS TBPc TCDMA TCO TCNQ TEOS TeX TGG TGS TGSe THAM-P THAM-S TiOPc Ti:S Ti sapphire TlAP TMOS TOC topaz tourmaline TPX tridymite TSCCC

thallium arsenic selenide tetrakis (tert-butyl) phthalocyanine tricyclodecyl co-methacrylate transparent conductive oxide 7,7,8,8-tetracyanoquinodimethane tetraethyl orthosilicate tellurium halide glass terbium gallium garnet triglycine sulfate triglycine selenate tris-hydroxylmethylaminomethane-phosphate tris-hydroxylmethylaminomethane-sulfate titanyl pthalocyanine Ti-doped corundum/alumina Ti-doped corundum/alumina thallium acid phthalate tetramethyloxysilane transparent optical ceramic aluminum silicate fluoride hydroxide sodiun aluminum borosilicate methyl pentene polymer silicon dioxide thiosemicarbazide cadmium chloride monohydrate tysonite lanthanum trifluoride urea urea crystal VAC vinyl acetate VB vinyl benzoate villiaumite sodium fluoride VOPc vanadyl phthalocyanine VPAC vinyl phenyl acetate VTE LN vapor-transport-equilibrated lithium niobate weberite sodium magnesium aluminum fluoride willemite zinc silicate wollastonite calcium silicate wulfenite lead molybdate wurtzite zinc sulfide (hexagonal) © 2003 by CRC Press LLC

Tl3AsSe3 [CH2C(CH3)(COOC10H15)]n e.g., ITO (C2H5O)4Si variable composition Tb3Ga5O12 (NH2CH2COOH)3•H2SO4

Al2O3:Ti Al2O3:Ti C8H5O4Tl Si(OCH3)4 various compositions Al2SiO4(F,OH)2 Na3Al6Si6O18(BO3)2(OH,F)4 SiO2

LaF3 CH4N2O [CH2CH(OCOCH3)]n NaF [CH2CH(OCOC6H5)]n LiNbO3 NaMgAlF7 ZnSiO4 CaSiO3 PbMoO4 ZnS

Appendix II

487

Abbreviations, Acronyms, Initialisms, and Mineralogical or Common Names of Optical Materials—continued xenotime YAB YAG YAlG valliaumite yablonovite YAlO YAP YAM YBF YGG YGO YGOB YIG YIGG YLF YOP YOS YSAG YSB YSGG YSO YSZ yttralox Zerodur zinc blende zincite ZTS zircon zirconia

yttrium phosphate yttrium aluminum borate yttrium aluminum garnet(c) yttrium aluminum garnet sodium fluoride photonic bandgap crystal yttrium orthoaluminate yttrium aluminum perovskite yttrium aluminum monoclinic yttrium barium fluoride yttrium gallium garnet yttrium gadolinium oxide yttrium gadolinium borate yttrium iron garnet yttrium indium gallium gadolinium garnet yttrium lithium fluoride yttrium orthophosphate yttrium orthosilicate yttrium scandium aluminum garnet yttrium scandium borate yttrium scandium gallium garnet yttrium silicon oxide (orthosilicate) yttria stabilized zirconia yttrium oxide (polycrystalline) glass ceramic zinc sulfide (cubic) zinc oxide zinc tris(thiourea) sulfate zirconium silicate zirconium dioxide

YPO4 YAl3(BO3)4 Y3Al5O12 Y3Al5O12 NaF variant of the diamond structure YAlO3 YAlO3 Y4Al2O9 Y2BaF8 Y3Ga5O12 (Y,Gd)2O3 CaY4(BO3)3O Y3Fe5O12 Y3(In,Ga)2Gd3O12 YLiF4 (LiYF4) YPO4 Y2SiO5 Y3Sc2Al3O12 YSc3(BO3)4 Y3Sc2Ga3O12 Y2SiO5 ZrO2:Y2O3 Y2O3 SiO2–Al2O 3+ . . . ZnS ZnO Zn[CS(NH2)2]3SO4 ZrSiO4 ZrO2

(a) When crystals are grown in heavy water (D2O) solution, hydrogen is replaced in part or totally by deuterium. Such crystals are designated by a prefix d- or D-, or by an asterisk, e.g., d-CDA and CD*A. (b) Produced from natural quartz. (c) Nd-doped YAG lasers are frequently simply called YAG lasers.

© 2003 by CRC Press LLC

Appendix III

APPENDIX III Abbreviations for Methods of Preparing Optical Materials and Thin Films ACR ACRT ALE ALL MBE APCVD APD APE ARE BARE BE Br CAIBE CAMBE CBE CLD CVD CVT Cz DIBD DIBS DMILC DWB ED EDFF EFG FHD FIB FICZ FZ GD GILD GS-MBE HBr HCD HEM HGF HIP HPBr HPVB © 2003 by CRC Press LLC

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accelerated crucible rotation (flux growth) accelerated crucible rotation technique atomic layer epitaxy atomic layer-by-layer molecular beam epitaxy accelerated plasma chemical vapor deposition accelerated plasma deposition annealed proton exchange activated reactive evaporation biased activated reactive evaporation bond and etch (waveguide structure) Bridgman (growth) chemically-assisted ion beam epitaxy chemically-assisted molecular beam epitaxy chemical beam epitaxy chemical liquid deposition chemical vapor deposition chemical vapor transport Czochralski (growth) dual ion beam deposition dual ion beam sputtering double-metal-induced lateral crystallization direct wafer bonding (waveguide structure) electrodeposition edge-defined film-fed (growth) edge-defined film-fed growth flame hydrolysis deposition focused ion beam (sputtering) flat interface Czochralski (growth) float zone glow discharge gas immersion laser doping gas-source molecular beam epitaxy horizontal Bridgman (growth) hollow cathode discharge deposition heat exchange method horizontal gradient freeze hot isostatic pressing high-pressure Bridgman (growth) high-pressure vertical Bridgman

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Handbook of Optical Materials Abbreviations for Methods of Preparing Optical Materials and Thin Films—continued HTS HTSG HVPE IAD IAD IBD IBE IBED IBS ICB ICBD ISZ-THM IVD IVDO JVD LAD LAD LB LBD LCVD LEC LECVD LEVGF LHPG LPCVD LPCVD LPE LP-MOVPE LTE LTGCz LT-MBE LVRIP MBD MBE MCVD MIC MILC MOCVD MOMBE MOVD MOVPE

© 2003 by CRC Press LLC

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high temperature solution high temperature solution growth hydride vapor-phase epitaxy ion assisted deposition ion beam assisted deposition ion beam deposition ion beam etching ion beam enhanced deposition ion beam sputtering ion cluster beam ionized cluster beam deposition increasing solution zone travelling heater method inside vapor deposition inside vapor deposition oxidation jet vapor deposition laser aerosol deposition laser-assisted deposition Langmuir-Blodgett (film technique) Langmuir-Blodgett deposition laser-induced chemical vapor deposition liquid-encapsulated Czochralski (growth) liquid-encapsulated chemical vapor deposition liquid-encapsulated vertical gradient freeze laser heated pedestal growth liquid-phase chemical vapor deposition low-pressure chemical vapor deposition liquid phase epitaxy low-pressure metal-organic vapor-phase epitaxy local thermal equilibrium low-thermal gradient Czochralski (growth) low-temperature molecular beam epitaxy low-voltage reactive ion plating molecular beam deposition molecular beam epitaxy modified chemical vapor deposition metal-induced crystallization metal-induced lateral crystallization metal-organic chemical vapor deposition metal-organic molecular beam epitaxy modified vapor deposition metal-organic vapor-phase epitaxy

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Abbreviations for Methods of Preparing Optical Materials and Thin Films—continued MPD NSP OMCVD OMMBE OMVPE OVD OVPO PCVD PACVD PAE PCVD PE PECVD PIBD PICVD PLD PLD PVD PVT RAP RE RIBE RICBD RIE RS SAM SIBD SOL GEL SPCVD SPE SPVT SSE SSMOCVD SSVG St TGZM THM TNFC TSFZ TSM TSSG

© 2003 by CRC Press LLC

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microwave plasma deposition neutral solution processing organometallic chemical vapor deposition organometallic molecular beam epitaxy organometallic vapor-phase epitaxy outside vapor deposition outside vapor phase plasma chemical vapor deposition plasma-assisted chemical vapor deposition plasma assisted epitaxy plasma chemical vapor deposition plasma etching plasma-enhanced chemical vapor deposition primary ion beam deposition plasma ionization chemical vapor deposition physical liquid deposition pulsed laser deposition physical vapor deposition physical vapor transport reactive atmosphere processing reactive evaporation reactive ion beam etching reactive ionized cluster beam deposition reactive ion etching reactive sputtering self-assembled monolayer secondary ion beam deposition solution gelation (processing) surface-plasma chemical vapor deposition solid phase epitaxy seeded physical vapor transport solid-state epitaxy solid source metal-organic chemical vapor deposition self-selected vapor growth Stockbarger (growth) temperature-gradient zone melting travelling heater method top nucleated floating crstal (growth) travelling solvent float zone travelling solvent method top-seeded solution growth

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Handbook of Optical Materials Abbreviations for Methods of Preparing Optical Materials and Thin Films—continued UHV-CVD VAD VBr VD VGD VGF VLPC VD VLS VMS VPE VPG VPO VT VTE ZM ZMR

© 2003 by CRC Press LLC

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ultra-high-vacuum chemical vapor deposition vapor-phase axial deposition vertical Bridgman (growth) vacuum deposition vapor gel deposition vertical gradient freeze very-low-pressure chemical vapor deposition vapor-liquid-solid vapor melt solid vapor-phase epitaxy vapor-phase growth vapor-phase oxidation vapor transport vapor transport equilibrated zone rnelted zone melting recrystallization

Appendix IV

493

APPENDIX IV Fundamental Physical Constants Quantity speed of light in vacuum permeability of vacuum, 4π x 10-7 permittivity of vacuum, 1/µ0c2 Planck constant elementary charge magnetic flux quantum, h/2e electron mass proton mass fine structure constant, µ0ce2/2h inverse fine-structure constant Rydberg constant, mecα2/2h Bohr radius, α/4πR∞ Hartree energy, e2/4πε0a0 = 2R∞hc in eV, Eh/e Compton wavelength, h/mec classical electron radius, α2a0 Bohr magneton, eh/4πme nuclear magneton, eh/4πmp electron magnetic moment magnetic moment anomaly, µe/ µB – 1 electron g factor, 2(1 + ae) proton gyromagnetic ratio Avogadro constant Boltzmann constant, R/NA Faraday constant, NAe molar gas constant Stefan-Boltzmann constant

Symbol c µ0 ε0 h e Φ0 me mp α 1/α R y , R∞ a0 Eh

Value

λC re µB µN µe ae ge γp NA k

299 792 458 m/s 1.256 637 061 4 × 10-6 N/A2 8.854 187 817 × 10-12 F/m 6.626 075 5 × 10-34 J s 1.602 177 33 × 10-19 C 2.067 834 61 × 10-15 Wb 9.109 389 7 × 10-31 kg 1.672 623 1 × 10-27 kg 7.297 353 08 × 10-3 137.035 989 5 10 973 731.534 m-1 0.529 177 249 × 10-10 m 4.359 748 2 × 10-18 J 27.211 396 1 eV 2.426 310 58 × 10-12 m 2.817 940 92 × 10-15 m 9.274 015 4 × 10-24 J/T 5.050 786 6 × 10-27 J/T 9.284 770 1 × 10-24 J/T 1.159 653 193 × 10-3 2.002 319 304 386 2.675 221 28 × 108 s-1T-1 6.022 136 7 × 1023 mol-1 1.380 658 × 10-23 J/K

F R s

96 485.309 C/mol 8.314 510 J/mol K 5.670 51 × 10-8 W/m2 K4

References: Cohen, E. R., and Taylor, B. N., The 1986 adjustment of the fundamental physical constants, Rev. Mod. Phys. 59, 1121 (1987). Taylor, B. N., and Cohen, E. R., Recommended values of the fundamental physical constants: a status report, J. Res. Natl. Inst. Stand. Technol. 95, 497 (1990). For updated values see NIST Web site: physics.nist.gov/constants.

© 2003 by CRC Press LLC

Appendix V

495

APPENDIX V Units and Conversion Factors Energy E(eV) Multiply E(eV) by 1.6022 × 10-19 to convert to E(J) Multiply E(eV) by 8065.5 to convert to E(cm-1) Photon energy (eV) = 1.2398/λvacuum(µm) Linear absorption coefficient α (cm-1) = (4πn × 104/λ)k, where n is the index of refraction of the material, the wavelength λ is in microns (µm), and k is the complex index of refraction. Two-photon absorption coefficient β (m/W) β (m/W) = (N/E)σ2, where N is the number density of molecules per cm3, E is the photon energy (J), σ2 is the two-photon absorption cross section (cm4 s/molecule). Multiply β (m/W) by 10-9 to convert to the CGS system (cal/cm s/erg) Nonlinear index of refraction γ (m2/W) Multiply γ (m2/W) by 2.386 × 106n to convert to the esu system, where n is the index of refraction of the material. n2[cm3/erg] = 238.7n γ[cm2/W] Linear electrooptic coefficient r (m/V) Multiply r (m/V) by 2.9979 × 104 to convert to the CGS system (cm/statvolt) Kerr constant B (10-16m V2) Multiply B (10-16m V2) by 8.988 × 106 to convert to the CGS system (cm/statvolt2) Verdet constant V (rad/T m) Multiply V (rad/T m) by 3.438 × 10-3 to convert to the CGS system (min/Oe cm) Temperature T(K) Temperature T(˚C) = T(K) – 273.15 Specific heat capacity cp (J/kg K) Multiply cp (J/kg K) by 2.388 × 10-4 to convert to the CGS system (cal/g K) Thermal conductivity κ (W/m K) Multiply κ (W/m K) by 2.388 × 10-3 to convert to the CGS system (cal/cm s K) Hardness (Knoop or Vickers) 1 kgf/mm2 = 9.8066 N/mm2 Pressure, mechanical stress (Pa) 1 Pa = 1 N/m2 = 1 kg/m s2 105 Pa = 1 bar 3 1 psi = 6.9 x 10 Pa

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