Course Content (Syllabus)
Chemical Bonding in Solids, covalent & ionic Bond. Dynamics of Atoms in Crystals’ Thermal properties: Density of States, thermal energy of a harmonic oscillator, specific heat capacity, Effects due to anharmonicity, thermal expansion, heat conduction by phonons. Optical properties of Solids: Dielectric Function, absorption of electromagnetic radiation, dielectric function for a harmonic oscillator, longitudinal and transverse normal modes, free-electron Gas, interband transitions, excitons, dielectric energy Losses of Electrons. "Free" electrons in solids: The Free-Electron Gas in an Infinite Square-Well Potential, Fermi Gas at T = 0 K, Fermi statistics, specific heat capacity of electrons in metals. The electronic bandstructure of Solids: General symmetry properties, nearly free-electron approximation, Tight-binding approximation, examples of bandstructures, Density of states in crystalline and in non-crystalline solids. Motion of Electrons and Transport Phenomena: Motion of electrons in bands and the effective mass, currents in bands and holes, relaxation time, electrical conductivity of metals. Bandstructure of important semiconductors, charge carrier density in intrinsic and doped Semiconductors, carrier scattering and mobility, Hall effect.