Bonds and Bands in Solids. Instructor: Prof. S. Ramasesha, Department of Solid State and Structural Chemistry, IISc Bangalore. Pre-requisites: Elementary Quantum Mechanics.
September 23, 2023
English
English [CC]
Description
This course deals with topics on electronic and vibrational states of solids: One-electron Hamiltonian, Bloch's Theorem, Energy Bands, Semiconductors, Density of States, Effective Mass, Interacting electron models and Kinetic Exchange, Energy levels in interacting models, Excitons, Lattice Variations, and so on. (from nptel.ac.in)
Course Curriculum
- Lecture 01 – Born-Oppenheimer Approximation Unlimited
- Lecture 02 – Self-consistent Field (SCF) Method Unlimited
- Lecture 03 – Simple MO Theory of Hydrogen Molecule Unlimited
- Lecture 04 – Bloch’s Theorem Unlimited
- Lecture 05 – Tight Binding Approximation Unlimited
- Lecture 06 – Energy Band Theory 1 Unlimited
- Lecture 07 – Energy Band Theory 2 Unlimited
- Lecture 08 – Density of States Unlimited
- Lecture 09 – Energy Band Theory 3 Unlimited
- Lecture 10 – Energy Band Theory 4 Unlimited
- Lecture 11 – Drudge’s Classical Free Electron Model 1 Unlimited
- Lecture 12 – Drudge’s Classical Free Electron Model 2 Unlimited
- Lecture 13 – Drudge’s Classical Free Electron Model 3 Unlimited
- Lecture 14 – Drudge’s Classical Free Electron Model 4 Unlimited
- Lecture 15 – Drudge’s Classical Free Electron Model 5 Unlimited
- Lecture 16 – Specific Heat of Fermi Gas Unlimited
- Lecture 17 – Energy Dispersion Relation in a Periodic Potential 1 Unlimited
- Lecture 18 – Energy Dispersion Relation in a Periodic Potential 2 Unlimited
- Lecture 19 – Brief Overview of Space Groups and Constant Energy Surface in 2D Unlimited
- Lecture 20 – Energy Band and Effective Mass Unlimited
- Lecture 21 – Effective Mass Unlimited
- Lecture 22 – Perturbation Method Unlimited
- Lecture 23 – Revisiting Bloch’s Theorem and Tight Binding Functions Unlimited
- Lecture 24 – Symmetries in Crystal Hamiltonian 1 Unlimited
- Lecture 25 – Symmetries in Crystal Hamiltonian 2 Unlimited
- Lecture 26 – Tight Binding Method 1 Unlimited
- Lecture 27 – Tight Binding Method 2 Unlimited
- Lecture 28 – Tight Binding Method 3 Unlimited
- Lecture 29 – Plane Wave Method Unlimited
- Lecture 30 – Pseudo Potential Method Unlimited
- Lecture 31 – Cellular Method of Energy Band Calculation Unlimited
- Lecture 32 – Muffin Tin Potential and APW Functions Unlimited
- Lecture 33 – Augmented Plane Wave Method of Energy Band Calculation 1 Unlimited
- Lecture 34 – Augmented Plane Wave Method of Energy Band Calculation 2 Unlimited
- Lecture 35 – Green’s Function Method of Energy Band Calculation 1 Unlimited
- Lecture 36 – Green’s Function Method of Energy Band Calculation 2 Unlimited
- Lecture 37 – Cyclotron Resonance Technique Unlimited
- Lecture 38 – De Haas-van Alphen Effect Unlimited
- Lecture 39 – De Haas-van Alphen Effect, Introduction to Point Impurity Effect … Unlimited
- Lecture 40 – Point Impurity in Crystal Unlimited
- Lecture 41 – Friedel Oscillations Unlimited
- Lecture 43 – Dielectric Anomaly, Crystal Momentum Unlimited
- Lecture 44 – Spatial and Time Reversal Symmetries in Crystals Unlimited
- Lecture 45 – Time Reversal Symmetry (cont.) Unlimited
- Lecture 46 – Spin Orbit Interaction Unlimited
- Lecture 47 – Disordered Solids and Transport in Disordered Solids Unlimited
- Lecture 48 – Optical Properties of Semiconductors Unlimited
- Lecture 49 – Excitonic States in Semiconductors Unlimited
- Lecture 50 – Excitonic States in Semiconductors (cont.) Unlimited
- Lecture 51 – Molecular Orbital Calculation 1 Unlimited
- Lecture 52 – Mott-Hubbard Transition Unlimited
- Lecture 53 – Hubbard Model Unlimited
- Lecture 54 – Electron Repulsion and Magnetic Exchange Unlimited
- Lecture 55 – Beyond On-Site Electron Repulsions; Pariser-Parr-Pople Model Unlimited
- Lecture 56 – Electron-Hole Symmetry and Pairing Theorem, Solitons Unlimited
- Lecture 57 – Density Waves in 1-d Systems and Lattice Variations 1 Unlimited
- Lecture 58 – Lattice Variations 2 Unlimited
- Lecture 59 – Lattice Variations 3 Unlimited
- Lecture 60 – Lattice Variations 4 Unlimited
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