Kittel's Introduction to Solid State Physics, Global Edition - Charles Kittel

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Résumé :
Seit Erscheinen der 1. Auflage vor ?ber 60 Jahren ist Kittel's Introduction to Solid State Physics, Global Edition das Standardwerk der Festk?rperphysik f?r Studierende im Hauptfach Physik. Der Schwerpunkt lag schon immer auf der Physik und weniger auf der formalen Mathematik. Geschrieben wurde das Werk mit dem Ziel ein Lehrbuch zu schaffen, das f?r Studenten im Grundstudium zug?nglich und von Dozenten durchg?ngig in Vorlesungen eingesetzt werden kann. Mit jeder neuen Ausgabe hat der Autor versucht, wichtige Neuentwicklungen in dem Fachgebiet aufzunehmen und gleichzeitig die Inhalte in ihrer Gesamtheit beizubehalten. Diese Global Edition bietet den Vorteil erweiterter Problemstellungen am Ende jedes Kapitels....

Biographie:

Chapter 1: Crystal Structure 1

Periodic Arrays of Atoms 3

Lattice Translation Vectors 4

Basis and the Crystal Structure 5

Primitive Lattice Cell 6

Fundamental Types of Lattices 6

Two-Dimensional Lattice Types 8

Three-Dimensional Lattice Types 9

Index Systems for Crystal Planes 11

Simple Crystal Structures 13

Sodium Chloride Structure 13

Cesium Chloride Structure 14

Hexagonal Close-Packed Structure (hcp) 15

Diamond Structure 16

Cubic Zinc Sulfide Structure 17

Direct Imaging of Atomic Structure 18

Nonideal Crystal Structures 18

Random Stacking and Polytypism 19

Crystal Structure Data 19

Summary 22

Problems 22

Chapter 2: Wave Diffraction And The Reciprocal Lattice 25

Diffraction of Waves by Crystals 27

The Bragg Law 27

Scattered Wave Amplitude 28

Fourier Analysis 29

Reciprocal Lattice Vectors 31

Diffraction Conditions 32

Laue Equations 34

Brillouin Zones 35

Reciprocal Lattice to sc Lattice 36

Reciprocal Lattice to bcc Lattice 38

Reciprocal Lattice to fcc Lattice 39

Fourier Analysis of the Basis 41

Structure Factor of the bcc Lattice 42

Structure Factor of the fcc Lattice 42

Atomic Form Factor 43

Summary 45

Problems 45

Chapter 3: Crystal Binding And Elastic Constants 49

Crystals of Inert Gases 51

Van der Waals-London Interaction 55

Repulsive Interaction 58

Equilibrium Lattice Constants 60

Cohesive Energy 61

Ionic Crystals 62

Electrostatic or Madelung Energy 62

Evaluation of the Madelung Constant 66

Covalent Crystals 69

Metals 71

Hydrogen Bonds 72

Atomic Radii 72

Ionic Crystal Radii 74

Analysis of Elastic Strains 75

Dilation 77

Stress Components 77

Elastic Compliance and Stiffness Constants 79

Elastic Energy Density 79

Elastic Stiffness Constants of Cubic Crystals 80

Bulk Modulus and Compressibility 82

Elastic Waves in Cubic Crystals 82

Waves in the [100] Direction 83

Waves in the [110] Direction 84

Summary 87

Problems 87

Chapter 4: phonons I. Crystal vibrations 91

Vibrations of Crystals with Monatomic Basis 93

First Brillouin Zone 95

Group Velocity 96

Long Wavelength Limit 96

Derivation of Force Constants from Experiment 96

Two Atoms per Primitive Basis 97

Quantization of Elastic Waves 101

Phonon Momentum 102

Inelastic Scattering by Phonons 102

Summary 104

Problems 104

Chapter 5: phonons 11. Thermal properties 107

Phonon Heat Capacity 109

Planck Distribution 109

Normal Mode Enumeration 110

Density of States in One Dimension 110

Density of States in Three Dimensions 113

Debye Model for Density of States 114

Debye T3 Law 116

Einstein Model of the Density of States 116

General Result for D( ) 119

Anharmonic Crystal Interactions 121

Thermal Expansion 122

Thermal Conductivity 123

Thermal Resistivity of Phonon Gas 125

Umklapp Processes 127

Imperfections 128

Problems 130

Chapter 6: Free Electron Fermi Gas 133

Energy Levels in One Dimension 136

Effect of Temperature on the FermiDirac Distribution 138

Free Electron Gas in Three Dimensions 139

Heat Capacity of the Electron Gas 143

Experimental Heat Capacity of Metals 147

Heavy Fermions 149

Electrical Conductivity and Ohm's Law 149

Experimental Electr...

Sommaire:

Chapter 1: Crystal Structure 1

Periodic Arrays of Atoms 3

Lattice Translation Vectors 4

Basis and the Crystal Structure 5

Primitive Lattice Cell 6

Fundamental Types of Lattices 6

Two-Dimensional Lattice Types 8

Three-Dimensional Lattice Types 9

Index Systems for Crystal Planes 11

Simple Crystal Structures 13

Sodium Chloride Structure 13

Cesium Chloride Structure 14

Hexagonal Close-Packed Structure (hcp) 15

Diamond Structure 16

Cubic Zinc Sulfide Structure 17

Direct Imaging of Atomic Structure 18

Nonideal Crystal Structures 18

Random Stacking and Polytypism 19

Crystal Structure Data 19

Summary 22

Problems 22

Chapter 2: Wave Diffraction And The Reciprocal Lattice 25

Diffraction of Waves by Crystals 27

The Bragg Law 27

Scattered Wave Amplitude 28

Fourier Analysis 29

Reciprocal Lattice Vectors 31

Diffraction Conditions 32

Laue Equations 34

Brillouin Zones 35

Reciprocal Lattice to sc Lattice 36

Reciprocal Lattice to bcc Lattice 38

Reciprocal Lattice to fcc Lattice 39

Fourier Analysis of the Basis 41

Structure Factor of the bcc Lattice 42

Structure Factor of the fcc Lattice 42

Atomic Form Factor 43

Summary 45

Problems 45

Chapter 3: Crystal Binding And Elastic Constants 49

Crystals of Inert Gases 51

Van der Waals-London Interaction 55

Repulsive Interaction 58

Equilibrium Lattice Constants 60

Cohesive Energy 61

Ionic Crystals 62

Electrostatic or Madelung Energy 62

Evaluation of the Madelung Constant 66

Covalent Crystals 69

Metals 71

Hydrogen Bonds 72

Atomic Radii 72

Ionic Crystal Radii 74

Analysis of Elastic Strains 75

Dilation 77

Stress Components 77

Elastic Compliance and Stiffness Constants 79

Elastic Energy Density 79

Elastic Stiffness Constants of Cubic Crystals 80

Bulk Modulus and Compressibility 82

Elastic Waves in Cubic Crystals 82

Waves in the [100] Direction 83

Waves in the [110] Direction 84

Summary 87

Problems 87

Chapter 4: phonons I. Crystal vibrations 91

Vibrations of Crystals with Monatomic Basis 93

First Brillouin Zone 95

Group Velocity 96

Long Wavelength Limit 96

Derivation of Force Constants from Experiment 96

Two Atoms per Primitive Basis 97

Quantization of Elastic Waves 101

Phonon Momentum 102

Inelastic Scattering by Phonons 102

Summary 104

Problems 104

Chapter 5: phonons 11. Thermal properties 107

Phonon Heat Capacity 109

Planck Distribution 109

Normal Mode Enumeration 110

Density of States in One Dimension 110

Density of States in Three Dimensions 113

Debye Model for Density of States 114

Debye T3 Law 116

Einstein Model of the Density of States 116

General Result for D( ) 119

Anharmonic Crystal Interactions 121

Thermal Expansion 122

Thermal Conductivity 123

Thermal Resistivity of Phonon Gas 125

Umklapp Processes 127

Imperfections 128

Problems 130

Chapter 6: Free Electron Fermi Gas 133

Energy Levels in One Dimension 136

Effect of Temperature on the FermiDirac Distribution 138

Free Electron Gas in Three Dimensions 139

Heat Capacity of the Electron Gas 143

Experimental Heat Capacity of Metals 147

Heavy Fermions 149

Electrical Conductivity and Ohm's Law 149

Experimental Electr...