Crystal structures: symmetry operations, Bravais lattice, reciprocal lattice, Brillouin zone, Miller indices, Bragg and Laue diffractions, structure factor. Lattice vibration and thermal properties: Einstein and Debye’s theory of specific heat, lattice vibrations in harmonic approximation, dispersion relations in monatomic and diatomic chains, optical and acoustic modes, concept of Brillouin zone, phonons, crystal momentum, dispersion relations in three-dimensional systems, anharmonic effects, thermal expansion. Electronic properties: Drude model, Widemann-Franz law, thermal conductivity, Sommerfeld model, specific heat. Electrons in a periodic potential, Nearly free electron model, Bloch’s theorem, Kronig- Penny model, band theory, Density of states, and Fermi surfaces. Concept of Effective mass, the concept of hole, classification of metal, insulator, and semiconductor. Mobility and electrical conductivity, Hall Effect, statistics of semiconductors. Introduction to magnetic, dielectric, and superconducting properties of solids.

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