Principles of Solid State Physics

Principles of Solid State Physics presents a unified treatment of the basic models used to describe the solid state phenomena.

This book is divided into three parts. Part I considers mechanical or geometrical properties that are describable by a lattice of mass points. What happens if the electric charge and magnetic moment are to be associated with the lattice points is explained in Part II. Part III discusses the application of the band theory and imperfections in solids.

This publication is recommended for a one-semester senior course in solid state physics for students majoring in physics, chemistry, and electrical engineering.

Preface

Part One. Structural, Mechanical, and Thermal Properties of Solids

Chapter 1 Introduction

1.1 What is Solid State Physics?

1.2 Experimental Tools

1.3 Theoretical Approach

Chapter 2 Crystal Structure

2.1 Classes of Solids

2.2 The Language of Crystals

2.3 Simple Crystal Structures in Three Dimensions

2.4 X-ray Diffraction

2.5 The Reciprocal Lattice

2.6 Experimental Methods of X-ray Diffraction

2.7 Waves, Particles, and Lattices

Problems

References

Chapter 3 Mechanical Properties of Solids

3.1 Origin of Hooke's Law from the Binding Energy of Ionic Crystals

3.2 Elastic Properties of Solids—Generalization of Hooke's Law

3.3 Dynamical Mechanical Properties—Wave Motion on a Lattice

3.4 Excitation of the Optical Branch—Infrared Absorption in Ionic Crystals

3.5 Verifying the Dispersion Relations in Crystal Lattices—Inelastic Scattering of Neutrons

3.6 Advanced Studies of Lattice Vibrations

3.7 Boundary Conditions, Dispersion Relations, and Modes

Problems

References

Chapter 4 Thermal Properties of Solids

4.1 Specific Heat

4.2 Zero-Point Energy

4.3 Phonons

4.4 Thermal Conductivity

4.5 Thermal Expansion

Problems

References

Part Two. Electrical and Magnetic Properties of Solids

Chapter 5 Electrical Properties of Insulators

5.1 The Dielectric Constant

5.2 Electrostriction

5.3 Piezoelectricity

5.4 Ferroelectricity

5.5 Crystal Field Theory

Problems

References

Chapter 6 Magnetic Properties of Insulators

6.1 Diamagnetism

6.2 Paramagnetism

6.3 Adiabatic Depolarization

6.4 Magnetic Resonance

6.5 Ferromagnetism

6.6 Ferromagnetic Domains

Problems

References

Chapter 7 Electrical and Magnetic Properties of Metals

7.1 Classical Free-Electron Theory of Metals

7.2 Quantum Mechanical Description of a Gas of Free Electrons

7.3 Quantum Statistics

7.4 Applications of Quantum Statistics to the Properties of Metals

Problems

References

Part Three. Band Theory and its Applications

Chapter 8 Band Theory of Metals

8.1 Periodic Boundary Conditions

8.2 Free Electrons or Free Atoms

8.3 Solution of the Schrödinger Equation for a Crystal

8.4 Superconductivity and Superfluidity

Problems

References

Chapter 9 Band Theory of Insulators and Semiconductors

9.1 Insulators

9.2 Semiconductors

Problems

References

Chapter 10 Imperfections in Solids

10.1 Classification of Imperfections

10.2 Vacancies, Holes, and Electrons

10.3 Dislocations and the Existence of the Solid State

Problems

References

Appendix

A. Evaluation of Boltzmann Averages

B. Entropy of Mixing

C. Van Leeuwen's Theorem

D. Phase Diagrams

Subject Index