Optical Spectra of Transparent Rare Earth Compounds - 1st Edition - ISBN: 9780123604507, 9780323158985

Optical Spectra of Transparent Rare Earth Compounds

1st Edition

Editors: S. Hufner
eBook ISBN: 9780323158985
Imprint: Academic Press
Published Date: 1st January 1978
Page Count: 252
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Optical Spectra of Transparent Rare Earth Compounds investigates the optical spectra of transparent rare earth (RE) compounds such as europium chalcogenides. Emphasis is placed on the underlying physics in selected examples, and theoretical results are usually presented without proof in a form that allows their application to the interpretation of experimental data. This book is comprised of 11 chapters and begins with an overview of the spectra of RE ions in ionic crystals, paying particular attention to the sharpness of many lines in the absorption and emission spectra. How these very narrow lines arise, what interactions determine their energy, and how they can be used to investigate particular properties of the solid state are explained in detail. Subsequent chapters explore the energy structure of RE free ions in solids; trivalent RE ions in a static crystal field and in a phonon field; magnetic interactions and hyperfine interactions; and Jahn-Teller systems. The absorption spectra of europium chalcogenides are also considered, along with REs in glasses and RE lasers. This monograph is written primarily for solid state physicists and those who need an overall view of the basic features of rare earth spectra in transparent solids, such as new workers.

Table of Contents



Chapter 1 Survey

1.1 Introduction

1.2 Free Ions

1.3 Ions in Crystals

1.4 Electron-Phonon Interaction

1.5 Energy Transfer

1.6 Magnetic Interactions

1.7 Hyperfine Interactions

1.8 Jahn-Teller Effect

1.9 Divalent Ions

1.10 Rare Earths in Glasses

1.11 Rare Earth Lasers

Chapter 2 Free Ions

2.1 Introduction

2.2 Matrix Elements of Tensor Operators

2.3 Coulomb and Spin-Orbit Energies; Intermediate Coupling

Chapter 3 Trivalent Ions in the Static Crystal Field

3.1 Introduction

3.2 Parametrization of the Crystal Field Splitting

3.3 The Spin Hamiltonian

3.4 Examples of Crystal Field Parametrization

3.5 Model Description of the Crystal Field

3.6 Classification of Crystal Field States and Selection Rules: Survey

3.7 Sketch of Group Theory

3.8 Kramer's Degeneracy

3.9 Group Theory and Crystal Field Energy Levels

3.10 Example of Crystal Field Splitting: D3h Symmetry

3.11 Product of Two Representations: Selection Rules

3.12 Example of Selection Rules: D3h Symmetry

3.13 Application of Theoretical Results to the Analysis of Experimental Data

3.14 The Zeeman Effect

3.15 Intensities

3.16 Phonon Sidebands

3.17 Satellites

Chapter 4 Trivalent Rare Earth Ions in a Phonon Field

4.1 Introduction

4.2 Optical Analog to the Mössbauer Effect

4.3 Effects of Acoustical Phonons

4.4 Effects of Optical Phonons

Chapter 5 Energy Transfer

5.1 Introduction and Theory

5.2 Energy Transfer in Rare Earth-Doped YF3 and Y2O3

Chapter 6 Magnetic Interactions

6.1 Introduction

6.2 General Considerations

6.3 Experimental Results: Introduction

6.4 Molecular Field Approach: ErCrO3, YbIG

6.5 Neighbor Interactions: TbA1O3, NdC13, DyVO4

6.6 Spin-Wave Sidebands: GdC13

Chapter 7 Hyperfine Interactions

Chapter 8 Jahn-Teller Systems

8.1 Introduction

8.2 Hamiltonian and Molecular Field Approximation

8.3 Typical System: TmVO4

Chapter 9 Divalent Rare Earth Compounds: The Europium Chalcogenides

9.1 Introduction

9.2 Crystal Field Interaction of One 5d Electron

9.3 Absorption Spectra of the Europium Chalcogenides

9.4 A Mixed Valence Compound: Eu3O4

Chapter 10 Rare Earths in Glasses

Chapter 11 Rare Earth Lasers

11.1 Introduction

11.2 Principles of Laser Action

11.3 Typical Rare Earth Lasers: Nd: YAG and Nd: Glasses




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© Academic Press 1978
Academic Press
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About the Editor

S. Hufner

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