Lectures on Solid State Physics

TablesIntroduction 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 ReferencesD. 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.