Course Contents

Crystal Structure: Crystal Diffraction and Reciprocal Lattices: Phonons and Lattice: Thermal Properties of solids:

Course Synopsis

Crystal Structure: Crystal lattice and Translation vector, the Basic and the Crystal Structure, Primitive Lattice, Fundamental Type of Lattice, Two and three Dimensional types of Lattices, Position and Orientation of Planes in crystal. Simple, body and face centered lattices. Miller indices, symmetry Operations, Packing Fraction, for simple cubic, Body centered cubic, Face centered cubic, Hexagonal close packed structure, Structure of Diamond, ZnS & Sodium Chloride. Crystal Diffraction and Reciprocal Lattices: Diffraction of X-Rays, Neutrons and electrons from Crystal, Braggs Law, Experimental diffraction Methods Laue’s Method, Rotating crystal method, Powder Method, Laue Derivation of amplitude of scattered Wave. Reciprocal lattice and its properties. Reciprocal lattice for sc, bcc, fcc brillouin zone. Phonons and Lattice: Vibrations of one dimensional monoatomic and diatomic lattice, Quantization of lattice vibrations, Phonon momentum, Inelastic scattering of photon by phonons. Optical properties in the Infrared Region, Local phonon Model Thermal Properties of solids: Lattice Heat Capacity, classical Model, Einstein Model, Debyes Model of Lattice Heat capacity and comparison with experimental results. Thermal conductivity and resistivity, Umklapp processes.

Course Learning Outcomes

After completion of this course, students will be able to understand 1: Crystal structure, lattices, Brillouin zones, crystal symmetries 2: how to interpret crystal structure by miller indices, by diffraction all experimental techniques 3: Clear understanding of Thermal properties of lattices, like Einstein and Debey model with detail derivations of lattice heat capacities 4: Clear concept of Phonon and lattices