Keywords:
Crystallography, Mathematical.
;
Crystals--Mathematical models.
;
Group theory.
;
Electronic books.
Description / Table of Contents:
Complete with reference tables and sample problems, this volume serves as a textbook or reference for solid-state physics and chemistry, materials science, and engineering. Chapters illustrate symmetry, and its role in determining solid properties, as well as a demonstration of group theory.
Type of Medium:
Online Resource
Pages:
1 online resource (234 pages)
Edition:
1st ed.
ISBN:
9781441975980
Series Statement:
Lecture Notes in Physics Series ; v.824
URL:
https://ebookcentral.proquest.com/lib/geomar/detail.action?docID=3066205
DDC:
548.7
Language:
English
Note:
Intro -- Symmetry, Group Theory,and the Physical Properties of Crystals -- Preface -- Contents -- Chapter 1: Symmetry in Solids -- 1.1 Symmetry -- 1.2 Crystal Structures -- 1.3 Symmetry in Reciprocal Space -- 1.4 Problems -- References -- Chapter 2: Group Theory -- 2.1 Basic Concepts of Group Theory -- 2.2 Character Tables -- 2.3 Group Theory Examples -- 2.3.1 C3v Point Group -- 2.3.2 Oh Point Group -- 2.4 Group Theory in Quantum Mechanics -- 2.5 Problems -- References -- Chapter 3: Tensor Properties of Crystals -- 3.1 First-Rank Matter Tensors -- 3.2 Second-Rank Matter Tensors -- 3.3 Third-Rank Matter Tensors -- 3.4 Fourth-Rank Matter Tensors -- 3.5 Problems -- References -- Chapter 4: Symmetry Properties of Point Defects in Solids -- 4.1 Energy Levels of Free Ions -- 4.2 Crystal Field Symmetry -- 4.3 Energy Levels of Ions in Crystals -- 4.4 Example: d-Electrons -- 4.5 Example: f-Electrons -- 4.6 Problems -- References -- Chapter 5: Symmetry and the Optical Properties of Crystals -- 5.1 Tensor Treatment of Polarization -- 5.2 Birefringence -- 5.3 Optical Activity -- 5.4 Electrooptical Effect [2, 6, 7] -- 5.5 Photoelastic Effect -- 5.6 Problems -- References -- Chapter 6: Nonlinear Optics -- 6.1 Basic Concepts -- 6.2 Effective Nonlinear Optical Coefficient -- 6.3 Index Matching -- 6.4 Maximizing SHG Efficiency -- 6.5 Two-Photon Absorption -- 6.6 Problems -- References -- Chapter 7: Symmetry and Lattice Vibrations -- 7.1 Symmetry and Local Mode Vibrations -- 7.2 Symmetry and Lattice Vibrational Modes -- 7.3 Transitions Between Vibrational Energy Levels -- 7.3.1 Radiationless Transitions -- 7.3.2 Infrared Transitions -- 7.4 Raman Scattering -- 7.5 Jahn-Teller Effect -- 7.6 Problems -- References -- Chapter 8: Symmetry and Electron Energy Levels -- 8.1 Symmetry and Molecular Bonds -- 8.2 Character Tables for Space Groups -- 8.3 Electron Energy Bands.
,
8.4 Symmetry Properties of Electron Energy Bands -- 8.5 Problems -- References -- Index.
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