Section-A
Crystal StructureSpace lattice, unit cell and translation vector, Miller indices, simple crystal structure. Laue's treatment to Bragg's law, powder method, point defects in solids- Schottky and Frenkel defects, Bonding in solids- lonic and covalent bonds.
Quantum PhysicsDifficulties with classical physics, introduction to quantum mechanics- simple concepts, Black body radiations Discovery of Planck's constant, phase velocity and group velocity. Schrodinger wave equations-time dependent and time independent, Expectation value, Ehrnfest Theorem, particle in a one-dimensional box. Quantum Statistics (Bose-Einstein and Fermi-Dirac Statistics). Elementary ideas of quark, gluons and hadrons.
Section-B
Nano-ScienceFeatures of nanosystems, concept of quantum size effect, quantum dots and their applications.
Free Electron TheoryElements of classical free electron theory and its limitations. Drude's theory of conduction, quantum theory of free electrons, Fermi level, density of states, Fermi-Dirac distribution function, Thermionic emission, Richardson's equation.Section-C
Band Theory of SolidsOrigin of energy bonds, Kronig-Penny model (qualitative) E-K diagrams, Brillouin Zones, Concept of effective mass and holes. Classification of solids into metals, semiconductors and insulators. Fermi energy and its variation with temperature. Hall effect and its applications.
Photoconductivity & PhotovoltaicsPhotoconductivity in insulating crystal, variation with illumination, effect of traps, applicaiton of photoconductivity, photovoltaics cells, solar cell and its characteristics.
Section-D
Megnetic Properties of SolidsAtomic magnetic moments, orbitals diamagnetism, Classical theory of paramagnetism, ferromagnetism, molecular fields and domain hypothesis.
Crystal StructureSpace lattice, unit cell and translation vector, Miller indices, simple crystal structure. Laue's treatment to Bragg's law, powder method, point defects in solids- Schottky and Frenkel defects, Bonding in solids- lonic and covalent bonds.
Quantum PhysicsDifficulties with classical physics, introduction to quantum mechanics- simple concepts, Black body radiations Discovery of Planck's constant, phase velocity and group velocity. Schrodinger wave equations-time dependent and time independent, Expectation value, Ehrnfest Theorem, particle in a one-dimensional box. Quantum Statistics (Bose-Einstein and Fermi-Dirac Statistics). Elementary ideas of quark, gluons and hadrons.
Section-B
Nano-ScienceFeatures of nanosystems, concept of quantum size effect, quantum dots and their applications.
Free Electron TheoryElements of classical free electron theory and its limitations. Drude's theory of conduction, quantum theory of free electrons, Fermi level, density of states, Fermi-Dirac distribution function, Thermionic emission, Richardson's equation.Section-C
Band Theory of SolidsOrigin of energy bonds, Kronig-Penny model (qualitative) E-K diagrams, Brillouin Zones, Concept of effective mass and holes. Classification of solids into metals, semiconductors and insulators. Fermi energy and its variation with temperature. Hall effect and its applications.
Photoconductivity & PhotovoltaicsPhotoconductivity in insulating crystal, variation with illumination, effect of traps, applicaiton of photoconductivity, photovoltaics cells, solar cell and its characteristics.
Section-D
Megnetic Properties of SolidsAtomic magnetic moments, orbitals diamagnetism, Classical theory of paramagnetism, ferromagnetism, molecular fields and domain hypothesis.