Topics Covered

Crystal structures:  Types of crystals, lattice and basis, Bravias lattice and Miller indices. Introduction to Quantum Mechanics:  Wave nature of electrons, Schrodinger's equation, one dimensional quantum problems, infinite quantum well, potential step and potential barrier. Heisenburg's uncertainty principle, quantum box. Classical theory of electrical and thermal conduction: scattering, mobility and resistivity, temperature dependence of resistivity of metals and Matheson’s rule, Hall effect, thermal conductivity. Band theory of solids: band theory from molecular orbital, Bloch theorem, Kronig-Penny model, electron effective mass, density of states. Carrier statistics: Maxwell Boltzman and Fermi Dirac distribution, Fermi energy. Modern theory of metals: Determination of Fermi energy and average energy of metals based on energy band model and Fermi-Dirac distribution functions, classical and quantum mechanical specific heat of electrons in a metal.  Dielectric properties of materials:  Polarization and dielectric constant, electronic, ionic and orientational polarization, Clausius-Mosotti equation, frequency dependence dielectric constants, dielectric loss and piezoelectricity.  Magnetic properties of materials: Magnetic moment, magnetization and relative permittivity, different types of magnetic materials, origin of ferromagnetism and magnetic domains.  Introduction to Superconductivity: Zero resistance and Meissener effect Type 1 and Type 2 superconductor and critical current density. Crystal structures: Types of crystals, lattice and basis, Bravais lattice and Miller indices. Classical theory of electrical and thermal conduction: Scattering, mobility and resistivity, temperature dependence of metal resistivity, Mathiessens rule, Hall effect and thermal conductivity. Introduction to quantum mechanics: Wave nature of electrons, Schrodingers equation, one-dimensional quantum problems- infinite quantum well, potential step and potential barrier; Heisenbergss uncertainty principle and quantum box. Band theory of solids: Band theory from molecular orbital, Bloch theorem, Kronig-Penny model, effective mass, density-of-states. Carrier statistics: Maxwell-Boltzmann and Fermi-Dirac distributions, Fermi energy. Modern theory of metals: Determination of Fermi energy and average energy of electrons, classical and quantum mechanical calculation of specific heat. Dielectric properties of materials: Dielectric constant, polarization-  electronic, ionic and orientational; internal field, Clausius-Mosotti equation, spontaneous polarization, frequency dependence of dielectric constant, dielectric loss and piezoelectricity. Magnetic properties of materials: Magnetic moment, magnetization and relative permitivity, different types of magnetic materials, origin of ferromagnetism and magnetic domains. Introduction to superconductivity: Zero resistance and Meissner effect, Type I and Type II superconductors and critical current density.