Atomic Mechanics of Solids

Abstract

1. Structure of Solids. Introduction. Crystal structures. Predictable properties. Binding energies. X-ray crystallography. 2. Lattice Dynamics. Lattice vibrations. Dipolar models. Lattice specific heat. Thermal expansion. Cohesion and elastic constants. Phonons. 3. Interatomic Potentials. Two-body potential. Three-body potentials. Molecular orbital methods. Derivation of potentials. Verification of potentials. 4. Transport Properties. Gas equations. Electron gas electrical conductivity. Thermal conductivity. Phonon electrical conductivity and thermal electrical effects. Mass diffusivity. Superconductivity. 5. Crystal Defects. Point defects. Dislocations. Surfaces. 6. Green's Functions. Green's function in elementary quantum mechanics. Many-body Green's functions. A simple example of many-body Green's functions. Applications of Green's functions. 7. Molecular Dynamics. The method of molecular dynamics. Boundary conditions. Hard sphere models. Applications of the method. Appendix to Chapter 7 Fortran Code for the Molecular-Dynamics method. 8. Monte Carlo Methods. Classical Monte Carlo method. Dynamic Monte Carlo methods. Quantum Monte Carlo methods. Applications of the Monte Carlo method. 9. Experimental Methods. Microscopy. Ion spectroscopy. Vibrational and electron spectroscopy. Resonance methods. Other experimental methods. (An Introduction and References are given with each chapter.)