Learn · Symmetry and Group Theory
Lecture 23 of 68Week 5
Lecture 23 : Transformation Operators: Switching Bases
Prof. Anindya Datta · IIT Bombay
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All the lectures
- Lecture 1 : Symmetry point group: Introduction
- Lecture 2 : Symmetry point group: Examples Part I
- Lecture 3 : Symmetry point group: Examples Part II
- Lecture 4 : Symmetry point group: Examples Part III
- Lecture 5 : Symmetry point group: Examples Part IV
- Lecture 6 : Transformation matrices and Matrix representation
- Lecture 7 : More on Matrix representation: Cartesian coordinates in C2v point group
- Lecture 8 : Matrix representation: the way ahead
- Lecture 9 : Introduction to Group Theory
- Lecture 10 : Group Multiplication Tables
- Lecture 11 : Groups and subgroups
- Lecture 12 : Classes, Similarity transformations
- Lecture 13 : Introduction to Matrices
- Lecture 14 : Application of matrices in solution of simultaneous equations
- Lecture 15 : Matrix eigenvalue equation
- Lecture 16 : Matrix eigenvalue equation: an example
- Lecture 17 : Similarity Transformations
- Lecture 18 : Back to transformation matrices
- Lecture 19 : Matrix representation revisited
- Lecture 20 : Function space and Transformation Operators
- Lecture 21 : Transformation Operators form the same group as transformation matrices
- Lecture 22 : Transformation Operators form a unitary representation for orthonormal basis
- Lecture 23 : Transformation Operators: Switching Bases
- Lecture 24 : Equivalent representations
- Lecture 25 : Unitary Transformation
- Lecture 26 : Unitary Transformations-Continued
- Lecture 27 : Reducible and Irreducible Representations
- Lecture 28 : Irreducible Representations and Great Orthogonality Theorem
- Lecture 29 : Character Tables: C2v
- Lecture 30 : Character Tables: C2v and C3v
- Lecture 31 : Practice Session: Review of Some Questions and Solutions
- Lecture 32 : Reducible to Irreducible Representations
- Lecture 33 : Character Tables of Cyclic Groups
- Lecture 34 : Symmetry of Normal Modes: D3h
- Lecture 35 : Symmetry of Normal Modes: D3h : Continued
- Lecture 36 : Symmetry of Normal Modes: a shortcut
- Lecture 37 : Recap: Reducible Representation for Normal Modes
- Lecture 38 : Contribution of internal motion to normal modes
- Lecture 39 : Normal mode analysis: some examples
- Lecture 40 : Infrared and Raman spectroscopy
- Lecture 41 : IR and Raman activity
- Lecture 42 : IR and Raman activity: examples
- Lecture 43 : Symmetry Adapted Linear Combinations (SALC)
- Lecture 44 : SALC:BeH2
- Lecture 45 : SALC:CH4 Introduction
- Lecture 46 : SALC:CH4
- Lecture 47 : Projection Operators
- Lecture 48 : Projection Operators – Continued
- Lecture 49 : Generating SALC’s using Projection Operators
- Lecture 50 : Generating SALC’s using Projection Operators - Continued
- Lecture 51 : Oh complex and Group-subgroup relation
- Lecture 52 : Group-Subgroup Relation
- Lecture 53 : SALCs as Pi-MO andCyclopropenyl group
- Lecture 54 : SALCs as Pi-MO, Cyclopropenyl group
- Lecture 55 : SALCs as Pi-MO, Benzene
- Lecture 56 : LCAO Huckel approximation
- Lecture 57 : Huckel approximation: Naphthalene
- Lecture 58 : Stationary states, Multiplicity, Ethylene
- Lecture 59 : Napthalene -I
- Lecture 60 : Napthalene -II
- Lecture 61 : Napthalene -III
- Lecture 62 : Transition Metal Complexes: CFT and LFT
- Lecture 63 : Jahn-Teller Theorem, Tetragonal Distortion MOT:ML6, Sigma and Pi Bonds
- Lecture 64 : MOT approach of bonding,H2O,Ferrocene
- Lecture 65 : MOT approach of bonding,H2O,Ferrocene
- Lecture 66 : Derivation: Great Orthogonality Theorem – I (Schurrs Lemma 1)
- Lecture 67 : Derivation: Great Orthogonality Theorem – II (Schurrs Lemma 2)
- Lecture 68 : Derivation: Great Orthogonality Theorem –III