I. Topical Outline: (*denotes optional topic)
A. Form and Bonding of solids
1. Interatomic bonding, Van der Waals forces and approximation
2. Ionic bonding and Madelung constant
3. Covalent, metallic and hydrogen bonding
4. Symmetry and crystal structures
B. Unit Cell
1. Diffraction of X-rays in crystals
2. Lattice and basis structure: unit and primitive cells
3. Reciprocal lattice space, diffraction and reciprocal lattice vector,
Brillouin zone
C. Lattice Dynamics
1. Elastic waves and phonons
2. Dispersion relation in a monatomic lattice, phonon spectra
3. Dispersion relation in a diatomic lattice
4. Acoustical and optical phonon spectra for lattice with general
basis
D. Lattice Specific Heat
1. Classical Boltzmann Model
2. Einstein model: phonon statistics
3. Debye model: high and low temperature approximations
*E. Thermal Properties of Crystals
1. Thermal conduction and phonon free path
2. Anharmonic effects
*3. Normal and Umklapp processes: defect scattering
F. Free Electron Theory
1. Drude model: conductivity and current density
2. Lorentz model
3. Fermi-Dirac statistics
4. Specific heat of electron gas, superconductivity
G. Band Theory
1. Block functions and reciprocal lattice vector
2. Perturbed free electrons approximation; forbidden energies
3. Brillouin zones, reduced and extended zones, populations
4. Kronig - Penny model
H. Electron Dynamics
1. Phase, group velocities and effective mass
2. Lorentz forces and equations of motion, positive holes
*I. Semiconductors
1. Intrinsic and extrinsic materials, electron and hole densities
2. Minority and majority carrier statistics
3. Donor and acceptor statistics, compensation
*4. Electronic transport, scattering and Hall effect
