Lectures on Solid State Physics

Tables

Introduction

Preface

Preface to the English Edition

A. Characteristic Features of the Structure of Solids

References

B. interference Effects in Crystals

I. Geometrical Properties of Perfect Crystals


1. Translation Operations in Crystals


2. Symmetry Properties of Crystals


3. Notation of Crystal Structures


4. Simple Crystal Structures

II. X-Ray Diffraction by Crystals


1. Von Laue's Geometrical Theory


2. Experimental Methods


3. Bragg's interpretation of X-Ray Diffraction


4. The Structure Factor

III. Brillouin Zones

References

C. Lattice Dynamics

I. Thermodynamic Fundamentals

II. The internal Energy


1. The Lattice Energy


2. The Energy of the Lattice Vibrations


3. Recoil-Less Emission and Absorption


4. Models of a Discrete Crystal


5. Debye's Equation of State for Solids

References

D. Imperfections

I. Structural Imperfections


1. Point Defects


2. Line Defects


3. Planar Defects


4. Thermodynamic-Statistical Theory of Atomic Imperfections


5. Extended Thermodynamic-Statistical Theory of Atomic Imperfections


6. Experimental Proof of the Existence of Atomic Imperfections


7. Mass Transport in Crystals


8. Dielectric Losses in Ionic Crystals

II. Chemical Imperfections


1. Color Centers


2. Electronic Conduction in Ionic Crystals

References

E. Foundations of the Electron Theory of Metals

I. Properties of Metals

II. Free-Electron Model

III. Sommerfeld's Theory


1. Properties of the Fermi-Dirac Function


2. Properties of the Electron Gas At T = 0ºK


3. Properties of the Electron Gas At T > 0ºK


4. Degeneracy of the Electron Gas


5. Specific Heat of the Electron Gas


6. Electron Emission


7. Limits of Sommerfeld's Free-Electron Model

References

F. Electrons in a Periodic Potential

I. Assumptions of the Single-Electron Approximation

III. Eigenvalues and Energy Bands

IV. Special Cases of Potentials


1. Mathieu's Differential Equation; Floquet's Solution


2. Brillouin's Approximation for Weakly Bound Electrons


3. Bloch's Approximation for Strongly Bound Electrons

V. Summary

VI. Motion of an Electron in the Periodic Potential


1. Mean Particle Velocity


2. The Crystal Electron Under the influence of an External Force


3. Mean Electron Momentum


4. Crystal Momentum


5. Mean Acceleration: Effective Mass


6. Eigenvalue Density and Effective Mass

VII. Ensemble of Electrons


1. Distribution Function


2. insulators and Metals


3. Semiconductors and Semimetals


4. The Fermi Surface


5. Metals and Alloys (Hume-Rothery Rules)

VIII. Principles and Methods of Band Structure Analysis


1. Radiative Transitions in Crystals


2. The Anomalous Skin Effect

References

G. Semiconductors

I. Holes

II. intrinsic Semiconductors


1. Degeneracy of the Carrier Concentration


2. Experimental Proof for the Temperature Dependence of the Carrier Concentration

III. Impurity Semiconductors


1. Band Scheme


2. Carrier Concentration in an Impurity Semiconductor

IV. Types of Semiconductors


1. n-Type Semiconductors


2. Inversion Density

References

H. Contact Effects

I. Thermodynamic Equilibrium


1. Volta Potential


2. The Kelvin Method for the Measurement of the Contact Potential Difference

II. Metal-Semiconductor Contacts


1. Contact Between Metals and n-Type Semiconductors


2. The Schottky Boundary Layer


3. Contact Between Metals and p-Type Semiconductors


4. Injecting Contacts


5. Contact Between Metals and intrinsic Semiconductors


6. Surface States


7. Metal-Semiconductor Contact under Load

III. Semiconductor-Semiconductor Contacts


1. The Pn Junction


2. The Pn Junction Under Load


3. Tunnel Diodes (Zener and Esaki Diodes)


4. Radiative Transitions Near; pn Junctions

References

J. Transport Phenomena

I. The Problem

II. The Boltzmann Equation

III. Electrical Conductivity and Thermal Conductivity


1. Degenerate One-Band Model


2. Non-Degenerate Isotropic Two-Band Model

IV. Thermoelectrical Effects


1. The Seebeck Effect


2. The Peltier Effect


3. The Thomson Effect

V. Galvanomagnetic Effects


1. Degenerate One-Band Model


2. Non-Degenerate Isotropic Two-Band Model

VI. Scattering Processes

References

K. Magnetism

I. Phenomenological Description of Magnetic Properties


1. Magnetic Susceptibility


2. Magnetization Work


3. Demagnetization Factor

II. Thermodynamics of Magnetization


1. The Magneto-Caloric Effect


2. Specific Heats


3. Specific Heat Anomalies

III. Atomistic Description of the Magnetic Moments


1. Orbital Moment


2. Spin Moment


3. Spin-Orbit Coupling


4. Russell-Saunders Coupling


5. Nuclear Moment

IV. Diamagnetism and Paramagnetism


1. Diamagnetism of Free Atoms


2. Paramagnetism of Free Atoms


3. Landau Diamagnetism of Free Electrons


4. Pauli Paramagnetism of Free Electrons


5. Experimental Results for Free Electrons

V. Phenomena of Collective Magnetic Ordering


1. Weiss Theory of Ferromagnetism


2. Curie-Weiss Theory of Paramagnetism


3. The Basis of Quantum-Mechanical Theories of Ferromagnetism

References

Physical Constants and Conversion Factors

Data of the "Standard" Metal

Periodic System and Periodic Tables of the Physical Properties of The Elements

References

Problems

Index

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