Lattices and basis, Symmetry operations, Fundamental Types of Lattice, Position and Orientation of Planes in Crystals, Simple crystal structures.
Crystal Diffraction and Reciprocal Lattice:
Diffraction of X-rays, Neutrons and electrons from crystals; Bragg’s law; Reciprocal lattice, Ewald construction and Brillouin zone, Fourier Analysis of the Basis.
Phonons and Lattice:
Quantization of Lattice Vibrations, Phonon momentum, inelastic scattering by phonons, Lattice Vibrations for Mono- atomic and diatomic basis, Optical Properties in the Infrared Region.
Thermal Properties of Solids:
Lattice heat Capacity, Classical model, Einstein Model, Enumeration of normal modes, Density of state in one, two or three dimensions, Debye model of heat capacity, Comparison with experimental results, thermal conductivity and resistivity, Umklapp processes.
Electrical Properties of Metals:
Classical free electron theory of metals, energy levels and density of orbital’s in one dimension, effect of temperature on the Fermi–Dirac distribution function, properties of the free electron gas, electrical conductivity and Ohm’s Law, thermal and electrical conductivities of metals and their ratio, motion of free electrons in magnetic fields, cyclotron frequency, static magneto conductivity and Hall Effect along with applications.