Optical Spectra of Transparent Rare Earth Compounds
- 1st Edition - November 12, 2012
- Imprint: Academic Press
- Editor: S. Hufner
- Language: English
- Hardback ISBN:9 7 8 - 0 - 1 2 - 3 6 0 4 5 0 - 7
- Paperback ISBN:9 7 8 - 0 - 1 2 - 4 3 3 5 8 4 - 4
- eBook ISBN:9 7 8 - 0 - 3 2 3 - 1 5 8 9 8 - 5
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… Read more
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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.
Preface
Acknowledgments
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
References
Index
- Edition: 1
- Published: November 12, 2012
- Imprint: Academic Press
- Language: English
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