QUANTUM MECHANICS:
Introduction, Planks Hypothesis- Origin of quantum mechanics, Classical v/s Quantum mechanics, experimental and theoretical methods: Dual nature of matter by Debroglie, Uncertainty principle, Localization experiment, Complementarity. Valence bond theory and its applications; Introduction to molecular orbital theory, and computational chemistry.
BASICS OF THERMODYNAMICS
Thermodynamics: Introduction, importance and limitations of thermodynamics; thermodynamic terms definition and examples for: system and surroundings, properties of a system, state variables, processes, thermodynamic equilibrium, internal energy, enthalpy, and heat capacity of a system; Zeroth law of thermodynamics.; First law of thermodynamics: definition, mathematical expressions, heat capacity (at constant volume, and constant pressure); Spontaneous process: criteria for spontaneity; Second law of thermodynamics: equivalent forms, entropy and its illustrations, Third law of thermodynamics: definition and illustration.
LATTICE VIBRATIONS AND BAND THEORY OF SOLIDS
Concept of lattice vibrations and thermal heat capacity, classical, Einstein and Debye theories of molar heat capacity and their limitations. Band Theory of Solids: Origin of bands, band theory of solids, motion of electron in periodic field of crystal, Kronig-Penny model, Brillion zones, concept of holes, distinction between metal, insulator and semi- conductor.
SEMICONDUCTORS AND TUNNELING
Semiconductor: Intrinsic semiconductors, doping and extrinsic semiconductors, simple models for semiconductors, Donor and acceptor levels, p-n junction and rectification, tunnelling and resonant tunnelling.
Tunnelling: Concept of tunnelling, tunnelling through potential barrier, classical vs quantum tunnelling, tunnelling junction, tunnelling diode.
COLLOIDAL SYSTEMS
Introduction, Crystalloids and colloids, Classifications of colloids with examples: based on state of aggregation, affinity, and natural dispersed phase. Characteristics of colloidal solutions: Dynamic properties (Brownian motion, diffusion, sedimentation, colligative properties, adsorption, and filterability), Optical properties (visibility, colour, and Tyndall effect), Electrical properties (electrophoresis, and electroosmosis). Emulsion: introduction, classification, types of emulsions formed on mixing of two partly or completely insoluble liquids, inter-conversion of dispersed phase and medium, characteristics of emulsions, identification of type of emulsion.