简介
This book demonstrates the importance of symmetry in determining the properties of solids and the power of using group theory and tensor algebra to elucidate these properties. It provides the fundamentals necessary for the reader to understand how to utilize these techniques in many different applications without becoming lost in a heavy formal treatment of the subject matter. The book begins by discussing the concepts of symmetry relevant to crystal structures. This is followed by a summary of the basics of group theory and how it applies to quantum mechanics. Next is a discussion of the description of the macroscopic properties of crystals by tensors and how symmetry determines the form of these tensors. The basic concepts covered in these early chapters are then applied to a series of different examples including crystal field theory treatment of point defects in solids, molecular orbitals, two-photon processes, the optical properties of solids, the nonlinear optical properties of solids, lattice vibrations, the Jahn-Teller effect, and the effects of translational symmetry on electronic energy bands in solids.. Emphasis is placed on showing how group theory and tensor algebra can provide important information about the properties of a system without resorting to first principal quantum mechanical calculations. The book also features a comprehensive set of relevant tables, including crystal symmetries, point group character tables, matter tensors of different rank, and other tensor properties. Key Features: 鈥Serves as a textbook or reference book for solid-state physics, solid-state chemistry, and materials science and engineering 鈥Shows how the physical properties of solids are determined by their symmetry 鈥Demonstrates the applications of group theory 鈥Utilizes the concept of matter tensors 鈥Includes an extensive set of reference tables and end of chapter problems
目录
Preface 5
Contents 7
Chapter 1: Symmetry in Solids 9
1.1 Symmetry 9
1.2 Crystal Structures 12
1.3 Symmetry in Reciprocal Space 23
1.4 Problems 32
References 32
Chapter 2: Group Theory 33
2.1 Basic Concepts of Group Theory 35
2.2 Character Tables 39
2.3 Group Theory Examples 48
2.3.1 C3v Point Group 48
2.3.2 Oh Point Group 53
2.4 Group Theory in Quantum Mechanics 55
2.5 Problems 60
References 61
Chapter 3: Tensor Properties of Crystals 62
3.1 First-Rank Matter Tensors 64
3.2 Second-Rank Matter Tensors 69
3.3 Third-Rank Matter Tensors 75
3.4 Fourth-Rank Matter Tensors 80
3.5 Problems 84
References 84
Chapter 4: Symmetry Properties of Point Defects in Solids 86
4.1 Energy Levels of Free Ions 86
4.2 Crystal Field Symmetry 92
4.3 Energy Levels of Ions in Crystals 94
4.4 Example: d-Electrons 102
4.5 Example: f-Electrons 107
4.6 Problems 111
References 111
Chapter 5: Symmetry and the Optical Properties of Crystals 112
5.1 Tensor Treatment of Polarization 112
5.2 Birefringence 121
5.3 Optical Activity 125
5.4 Electrooptical Effect [2, 6, 7] 130
5.5 Photoelastic Effect 138
5.6 Problems 141
References 141
Chapter 6: Nonlinear Optics 143
6.1 Basic Concepts 144
6.2 Effective Nonlinear Optical Coefficient 151
6.3 Index Matching 156
6.4 Maximizing SHG Efficiency 159
6.5 Two-Photon Absorption 163
6.6 Problems 168
References 169
Chapter 7: Symmetry and Lattice Vibrations 170
7.1 Symmetry and Local Mode Vibrations 171
7.2 Symmetry and Lattice Vibrational Modes 178
7.3 Transitions Between Vibrational Energy Levels 185
7.3.1 Radiationless Transitions 186
7.3.2 Infrared Transitions 188
7.4 Raman Scattering 190
7.5 Jahn-Teller Effect 199
7.6 Problems 203
References 203
Chapter 8: Symmetry and Electron Energy Levels 205
8.1 Symmetry and Molecular Bonds 205
8.2 Character Tables for Space Groups 216
8.3 Electron Energy Bands 218
8.4 Symmetry Properties of Electron Energy Bands 224
8.5 Problems 227
References 228
Index 229
Contents 7
Chapter 1: Symmetry in Solids 9
1.1 Symmetry 9
1.2 Crystal Structures 12
1.3 Symmetry in Reciprocal Space 23
1.4 Problems 32
References 32
Chapter 2: Group Theory 33
2.1 Basic Concepts of Group Theory 35
2.2 Character Tables 39
2.3 Group Theory Examples 48
2.3.1 C3v Point Group 48
2.3.2 Oh Point Group 53
2.4 Group Theory in Quantum Mechanics 55
2.5 Problems 60
References 61
Chapter 3: Tensor Properties of Crystals 62
3.1 First-Rank Matter Tensors 64
3.2 Second-Rank Matter Tensors 69
3.3 Third-Rank Matter Tensors 75
3.4 Fourth-Rank Matter Tensors 80
3.5 Problems 84
References 84
Chapter 4: Symmetry Properties of Point Defects in Solids 86
4.1 Energy Levels of Free Ions 86
4.2 Crystal Field Symmetry 92
4.3 Energy Levels of Ions in Crystals 94
4.4 Example: d-Electrons 102
4.5 Example: f-Electrons 107
4.6 Problems 111
References 111
Chapter 5: Symmetry and the Optical Properties of Crystals 112
5.1 Tensor Treatment of Polarization 112
5.2 Birefringence 121
5.3 Optical Activity 125
5.4 Electrooptical Effect [2, 6, 7] 130
5.5 Photoelastic Effect 138
5.6 Problems 141
References 141
Chapter 6: Nonlinear Optics 143
6.1 Basic Concepts 144
6.2 Effective Nonlinear Optical Coefficient 151
6.3 Index Matching 156
6.4 Maximizing SHG Efficiency 159
6.5 Two-Photon Absorption 163
6.6 Problems 168
References 169
Chapter 7: Symmetry and Lattice Vibrations 170
7.1 Symmetry and Local Mode Vibrations 171
7.2 Symmetry and Lattice Vibrational Modes 178
7.3 Transitions Between Vibrational Energy Levels 185
7.3.1 Radiationless Transitions 186
7.3.2 Infrared Transitions 188
7.4 Raman Scattering 190
7.5 Jahn-Teller Effect 199
7.6 Problems 203
References 203
Chapter 8: Symmetry and Electron Energy Levels 205
8.1 Symmetry and Molecular Bonds 205
8.2 Character Tables for Space Groups 216
8.3 Electron Energy Bands 218
8.4 Symmetry Properties of Electron Energy Bands 224
8.5 Problems 227
References 228
Index 229
- 名称
- 类型
- 大小
光盘服务联系方式: 020-38250260 客服QQ：4006604884
云图客服：
用户发送的提问，这种方式就需要有位在线客服来回答用户的问题，这种 就属于对话式的,问题是这种提问是否需要用户登录才能提问
Video Player
×
Audio Player
×
pdf Player
×
