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#### Title: Physical special –V (Code-09040408)

 S.No Topic Domain Hours Unit I 1 Free energy functions and the partition functions Must Know 2 hrs 2 Calculation of equilibrium constant  using partition function Must Know 1 hrs 3 Bose-Einstein statistics, statistics of photon gas, gas  degeneration Good To Know 3 hrs 4 Fermi-Dirac statistics, extreme gas degeneration Good To Know 3 hrs 5 Energy of Bosons & Fermi particles, specific heat of electron gas, , Thermionic emission Nice to know 2 hrs 6 Comparison of Maxwell-Boltsmann, Bose-Einstein and  Fermi-Dirac statistics. Must Know 2 hrs Unit II 1 General theory of non-equilibrium processes, entropy production and entropy flow Must Know 2 hrs 2 thermodynamic criteria for non-equilibrium states Nice to know 3 entropy production in heat flow, mass flow, electric current, chemical reactions Must Know 3 hrs 4 Saxen’s relation, Onsager’s reciprocity relation, electro kinetic phenomenon Nice to know 2 hrs 5 Theory of fluctuation, energy fluctuations in the canonical ensemble Must Know 2 hrs 6 distribution function and fluctuations, fluctuations of density and energy. Good To Know 2 hrs Unit III 1 Angular momentum, angular momentum operators in cartesian coordinates Nice to know 2 hrs 2 Eigen function & eigen values, commutation relation between angular momentum operators ( Lx,Ly , Lz , L2  ), Good To Know 2 hrs 3 Total orbital angular momentum and spin angular momentum 4 Commutation relation between components of total  orbital angular momentum and spin angular momentum Nice to know 1 hrs 5 Ladder operators, commutators of [L2 , L+   ] and [L2  ,L-  ] Good To Know 2 hrs 6 Application of ladder operators to an eigen function of Lz Must Know 4 hrs Unit IV 1 Huckel molecular orbital (HMO) theory of llinear and cyclic conjugated systems Must Know 2 hrs 2 Applications of HMO theory to Nice to know 2 hrs 3 (i) set up and solve Huckel determent equation Nice to know 2 hrs 4 (ii) calculate resonance energy; Must Know 2 hrs 5 (iii) wave functions for  molecular orbitals 6 Molecular diagrams for the following 7 (a) Ethylene molecule (b) Allyl system (Allyl radical and the related cation and anion) Must Know 1 hrs 8 (c) Butadiene; (d) Cyclobutadiene (e) Cyclopropenyl system (cyclopropenyl radical and the related cation and anion Nice to know 1 hrs

Books Recommended:
1. Prigogine, I. Non-Equilibrium Thermodynamics.
2     Kalidas, C.  Non-Equilibrium Thermodynamics.