Topics in the Theory of Solid Materials provides a clear and rigorous introduction to a wide selection of topics in solid materials, overlapping traditional courses in both condensed matter physics and materials science and engineering. It introduces both the continuum properties of matter, traditionally the realm of materials science courses, and the quantum mechanical properties that are usually more emphasized in solid state physics courses, and integrates them in a manner that will be of use to students of either subject. The book spans a range of basic and more advanced topics, including stress and strain, wave propagation, thermal properties, surface waves, polarons, phonons, point defects, magnetism, and charge density waves.
Topics in the Theory of Solid Materials is eminently suitable for graduates and final-year undergraduates in physics, materials science, and engineering, as well as more advanced researchers in academia and industry studying solid materials.
Introduction
Deformation: Strain and Rotation
Forces and Stress
Linear Elasticity
Equilibrium
WAVE PROPAGATION IN CONTINUOUS MEDIA
Introduction
Vector Fields
Equation of Motion
Wave Propagation
Appendix
THERMAL PROPERTIES OF CONTINUOUS MEDIA
Introduction
Classical Thermodynamics
Thermal Conduction and Wave Motion
Wave Attenuation by Thermal Conduction
SURFACE WAVES
Introduction
Rayleigh Waves
Boundary Conditions
Dispersion Relation
Character of the Wave Motion
DISLOCATIONS
Introduction
Description of Dislocations
Deformation Fields of Dislocations
Uniform Dislocation Motion
Further Study of Dislocations
CLASSICAL THEORY OF THE POLARON
Introduction
Equations of Motion
The Constant-Velocity Polaron
Polaron in a Magnetic Field: Quantization
ATOMISTIC QUANTUM THEORY OF SOLIDS
Introduction
The Hamiltonian
Nuclear Dynamics: The Adiabatic Approximation
The Harmonic Approximation
Phonons
Statistical Thermodynamics of a Solid
Summary
PHONONS
Introduction
Monatomic Linear Chain
Diatomic Linear Chain
Localized Mode of a Point Defect
CLASSICAL ATOMISTIC MODELING OF CRYSTALS
Introduction
The Shell Model for Insulating Crystals
Cohesive Energy of a Crystal
Elastic Constants
Dielectric and Piezoelectric Constants
CLASSICAL ATOMIC DIFFUSION IN SOLIDS
Introduction
The Diffusion Equation
Diffusion as a Random Walk
Equilibrium Distribution of Point Defects
Temperature Dependence of Diffusion: the Vineyard Relation
Appendix: Stirling's Formula
POINT DEFECTS IN CRYSTALS
Introduction
Classical Diffusion
Defect Complex Stability
Impurity Charge-State Stability
Optical Excitation
Spin Densities
Local Band-Edge Modification
Electronic Localization
Quantum Diffusion
Effective Force Constants for Local Modes
Summary
Appendix: The ICECAP Method
THEORETICAL FOUNDATIONS OF MOLECULAR CLUSTER COMPUTATIONS
Introduction
Hartree-Fock Approximation
The Fock Equation
Localizing Potentials
Embedding in a Crystal
Correlation
One-, Two-, and N-Particle Density Functionals
PARAMAGNETISM AND DIAMAGNETISM IN THE ELECTRON GAS
Introduction
Paramagnetism of the Electron Gas
Diamagnetism of the Electron Gas
Appendix
CHARGE DENSITY WAVES IN SOLIDS
Introduction
Effective Electron-Electron Interaction
The Hartree Equation: Uniform and Periodic Cases
Charge Density Waves: the Mathieu Equation
Discussion
References
Biography
J.M. Vail
"What are dislocations? What are phonons? What is phonon transport? This text describes all that and more in lucid language. If you're into materials and would like to relearn the undergraduate condensed matter physics that you wished you knew, this is the book to read."
-Biswajit Banerjee, University of Utah, Salt Lake City, USA
