NPTEL : NOC:Symmetry and Group Theory (2021) (Chemistry and Biochemistry)

Co-ordinators : Prof. Jeetender Chugh


Lecture 1 - Course Contents

Lecture 2 - Symmetry and Parity Operator

Lecture 3 - Symmetry Elements and Operations - Part 1

Lecture 4 - Symmetry Elements and Operations - Part 2

Lecture 5 - Planes and Reflections

Lecture 6 - Tutorial - 1

Lecture 7 - Coordinate System and Inversion Center

Lecture 8 - Improper axis and improper rotation

Lecture 9 - Solved Examples of Symmetry Elements and Operations

Lecture 10 - Product of Symmetry Operations

Lecture 11 - Tutorial - 2

Lecture 12 - Symmetry Point Groups - Part 1

Lecture 13 - Symmetry Point Groups - Part 2

Lecture 14 - Symmetry Point Groups - Part 3

Lecture 15 - Dipole Moment and Optical Acitivity

Lecture 16 - Tutorial - 3

Lecture 17 - Point Group Definition and Examples

Lecture 18 - Sub-Group and Classes

Lecture 19 - Matrix Representation of Symmetry Operations

Lecture 20 - Matrix Representation of Point Group

Lecture 21 - Tutorial - 4

Lecture 22 - Matrix Representation of Point Group

Lecture 23 - Reducible and Irreducible Representations

Lecture 24 - Great Orthogonality Theorem

Lecture 25 - Properties of Great Orthogonality Theorem

Lecture 26 - Tutorial - 5

Lecture 27 - Irreducible Representation using GOT

Lecture 28 - Reducible to Irreducible Representation using GoT

Lecture 29 - Character Table and Mulliken Symbols

Lecture 30 - How to write a complete character table

Lecture 31 - Tutorial - 6

Lecture 32 - Representations of a cyclic group

Lecture 33 - Group Theory and Quantum Mechanics

Lecture 34 - 1) Degenerate Eigen Functions 2) Direct Product

Lecture 35 - Direct Product

Lecture 36 - Tutorial - 7

Lecture 37 - Direct Product Applications - Part 1

Lecture 38 - Direct Product Applications - Part 2

Lecture 39 - Symmetry Adapted Linear Combinations - Part 1

Lecture 40 - Symmetry Adapted Linear Combinations - Part 2

Lecture 41 - Tutorial - 8

Lecture 42 - Incomplete Projection Operator

Lecture 43 - SALC using Projection Operator

Lecture 44 - Symmetry and Chemical Bonding

Lecture 45 - Valence Bond Theory

Lecture 46 - Tutorial - 9

Lecture 47 - Molecular Orbital Theory

Lecture 48 - Localised MO Theory

Lecture 49 - Delocalized MO Theory - Part 1

Lecture 50 - Delocalized MO Theory - Part 2

Lecture 51 - Ascent and Descent in Symmetry - Part 1

Lecture 52 - Ascent and Descent in Symmetry - Part 2

Lecture 53 - Crystal Field Theory - Part 1

Lecture 54 - Crystal Field Theory - Part 2

Lecture 55 - Jahn-Teller Distortion - Part 1

Lecture 56 - Jahn-Teller Distortion - Part 2

Lecture 57 - Introduction to Spectroscopy - Part 1

Lecture 58 - Introduction to Spectroscopy - Part 2

Lecture 59 - Vibrational Spectroscopy

Lecture 60 - 1) Raman Spectroscopy and 2) Atomic Motions

Lecture 61 - Symmetry of Normal Modes of Vibration

Lecture 62 - Visualizing Molecular Vibrations using Internal Coordinates

Lecture 63 - Spectral Transition Probabilities - Part 1

Lecture 64 - Spectral Transition Probabilities - Part 2