Crystal Structure: Crystalline and amorphous solids, Lattice and basic unit cell, Wigner - Seitz cell, Bravais lattices, Simple cubic, bcc (body centred cubic), fcc (face centred cubic) structures; Miller indices. Crystal Diffraction: Bragg's diffraction law; Incident beams of x-rays, electrons and neutrons, Structure determination,Reciprocal lattice and Brillouin Zone. Experimental methods, Crystals of inert gases, Ionic crystals, Covalent crystals and Metals.Lattice Vibrations: Vibrations of monoatomic and diatomic lattice, Phonon dispersion, Lattice heat capacity and phonon density of states, Einstein's and Debye's models. Free electron gas: Effect of temperature on the Fermi-Dirac distribution, Free electron gas in three dimensions, Heat capacity, Electrical and thermal conductivities, Weidman-Franz law. Hall effect.Band Theory of solids: Inadequacies of free electron theory, Bloch theorem, Kronig - Penney model, Allowed and forbidden bands.