# Symmetry and Group Theory

- Institution: IIT Bombay
- Department: Chemistry and Biochemistry
- Teacher: Prof. Anindya Datta
- Level: Undergraduate
- Language: English
- Subjects: Chemistry
- Source: [NPTEL](https://nptel.ac.in/courses/104101094)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/104101094)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

This course provides a quantitative treatment of symmetry in chemistry, using group theory. We start with determination of point group, discuss transformation matrices, abstract group theory, unitary transformations, derivation of Great Orthogonality Theorem and its consequences leading to character tables. Then, various applications in Chemistry are discussed. It is equivalent to CH 801 of IIT Bombay. The lectures are already recorded by CDEEP, IIT Bombay.

Intended audience: Chemistry.

## Lectures

1. [Lecture 1 : Symmetry point group: Introduction](https://invisiblenetwork.ai/learn/nptel/104101094/ecf47152613d) (YouTube)
2. [Lecture 2 : Symmetry point group: Examples Part I](https://invisiblenetwork.ai/learn/nptel/104101094/f4ab3675faea) (YouTube)
3. [Lecture 3 : Symmetry point group: Examples Part II](https://invisiblenetwork.ai/learn/nptel/104101094/50c9a9419c37) (YouTube)
4. [Lecture 4 : Symmetry point group: Examples Part III](https://invisiblenetwork.ai/learn/nptel/104101094/c3524badc31b) (YouTube)
5. [Lecture 5 : Symmetry point group: Examples Part IV](https://invisiblenetwork.ai/learn/nptel/104101094/51c168543e4f) (YouTube)
6. [Lecture 6 : Transformation matrices and Matrix representation](https://invisiblenetwork.ai/learn/nptel/104101094/7171f7887bbc) (YouTube)
7. [Lecture 7 : More on Matrix representation: Cartesian coordinates in C2v point group](https://invisiblenetwork.ai/learn/nptel/104101094/f4cc94f8112b) (YouTube)
8. [Lecture 8 : Matrix representation: the way ahead](https://invisiblenetwork.ai/learn/nptel/104101094/35ae0912aef4) (YouTube)
9. [Lecture 9 : Introduction to Group Theory](https://invisiblenetwork.ai/learn/nptel/104101094/e617fed43ee6) (YouTube)
10. [Lecture 10 : Group Multiplication Tables](https://invisiblenetwork.ai/learn/nptel/104101094/fcd060f937ac) (YouTube)
11. [Lecture 11 : Groups and subgroups](https://invisiblenetwork.ai/learn/nptel/104101094/d49ddf52dc60) (YouTube)
12. [Lecture 12 : Classes, Similarity transformations](https://invisiblenetwork.ai/learn/nptel/104101094/8e2a642d0caf) (YouTube)
13. [Lecture 13 : Introduction to Matrices](https://invisiblenetwork.ai/learn/nptel/104101094/958ae18b790a) (YouTube)
14. [Lecture 14 : Application of matrices in solution of simultaneous equations](https://invisiblenetwork.ai/learn/nptel/104101094/dad16856106b) (YouTube)
15. [Lecture 15 : Matrix eigenvalue equation](https://invisiblenetwork.ai/learn/nptel/104101094/e6c14cc08779) (YouTube)
16. [Lecture 16 : Matrix eigenvalue equation: an example](https://invisiblenetwork.ai/learn/nptel/104101094/940706d98d0f) (YouTube)
17. [Lecture 17 : Similarity Transformations](https://invisiblenetwork.ai/learn/nptel/104101094/6eb4e9df7fa7) (YouTube)
18. [Lecture 18 : Back to transformation matrices](https://invisiblenetwork.ai/learn/nptel/104101094/bc6767961261) (YouTube)
19. [Lecture 19 : Matrix representation revisited](https://invisiblenetwork.ai/learn/nptel/104101094/6e16150fa32d) (YouTube)
20. [Lecture 20 : Function space and Transformation Operators](https://invisiblenetwork.ai/learn/nptel/104101094/4d23f7124a4d) (YouTube)
21. [Lecture 21 : Transformation Operators form the same group as transformation matrices](https://invisiblenetwork.ai/learn/nptel/104101094/061f02ee1aff) (YouTube)
22. [Lecture 22 : Transformation Operators form a unitary representation for orthonormal basis](https://invisiblenetwork.ai/learn/nptel/104101094/bcdd3caab05c) (YouTube)
23. [Lecture 23 : Transformation Operators: Switching Bases](https://invisiblenetwork.ai/learn/nptel/104101094/8748ffd7ec9a) (YouTube)
24. [Lecture 24 : Equivalent representations](https://invisiblenetwork.ai/learn/nptel/104101094/0becec70418c) (YouTube)
25. [Lecture 25 : Unitary Transformation](https://invisiblenetwork.ai/learn/nptel/104101094/989527b14ed0) (YouTube)
26. [Lecture 26 : Unitary Transformations-Continued](https://invisiblenetwork.ai/learn/nptel/104101094/65da3e3c93cc) (YouTube)
27. [Lecture 27 : Reducible and Irreducible Representations](https://invisiblenetwork.ai/learn/nptel/104101094/1ee3f7fc5785) (YouTube)
28. [Lecture 28 : Irreducible Representations and Great Orthogonality Theorem](https://invisiblenetwork.ai/learn/nptel/104101094/26010f11ee4f) (YouTube)
29. [Lecture 29 : Character Tables: C2v](https://invisiblenetwork.ai/learn/nptel/104101094/aeeac5fe9eaa) (YouTube)
30. [Lecture 30 : Character Tables: C2v and C3v](https://invisiblenetwork.ai/learn/nptel/104101094/e5b0f75263c5) (YouTube)
31. [Lecture 31 : Practice Session: Review of Some Questions and Solutions](https://invisiblenetwork.ai/learn/nptel/104101094/63fda1626a53) (YouTube)
32. [Lecture 32 : Reducible to Irreducible Representations](https://invisiblenetwork.ai/learn/nptel/104101094/c0e34f224004) (YouTube)
33. [Lecture 33 : Character Tables of Cyclic Groups](https://invisiblenetwork.ai/learn/nptel/104101094/728c385acd0b) (YouTube)
34. [Lecture 34 : Symmetry of Normal Modes: D3h](https://invisiblenetwork.ai/learn/nptel/104101094/c305a8134376) (YouTube)
35. [Lecture 35 : Symmetry of Normal Modes: D3h : Continued](https://invisiblenetwork.ai/learn/nptel/104101094/b39026da52eb) (YouTube)
36. [Lecture 36 : Symmetry of Normal Modes: a shortcut](https://invisiblenetwork.ai/learn/nptel/104101094/7912e956aa71) (YouTube)
37. [Lecture 37 : Recap: Reducible Representation for Normal Modes](https://invisiblenetwork.ai/learn/nptel/104101094/12e302f3a847) (YouTube)
38. [Lecture 38 : Contribution of internal motion to normal modes](https://invisiblenetwork.ai/learn/nptel/104101094/496c7d0bc10a) (YouTube)
39. [Lecture 39 : Normal mode analysis: some examples](https://invisiblenetwork.ai/learn/nptel/104101094/b3cee003876a) (YouTube)
40. [Lecture 40 : Infrared and Raman spectroscopy](https://invisiblenetwork.ai/learn/nptel/104101094/499bcea66095) (YouTube)
41. [Lecture 41 : IR and Raman activity](https://invisiblenetwork.ai/learn/nptel/104101094/87f7e6ddcdd9) (YouTube)
42. [Lecture 42 : IR and Raman activity: examples](https://invisiblenetwork.ai/learn/nptel/104101094/115483c4988c) (YouTube)
43. [Lecture 43 : Symmetry Adapted Linear Combinations (SALC)](https://invisiblenetwork.ai/learn/nptel/104101094/2c0da6203da0) (YouTube)
44. [Lecture 44 : SALC:BeH2](https://invisiblenetwork.ai/learn/nptel/104101094/5b40d3f65523) (YouTube)
45. [Lecture 45 : SALC:CH4 Introduction](https://invisiblenetwork.ai/learn/nptel/104101094/af266cd62bcb) (YouTube)
46. [Lecture 46 : SALC:CH4](https://invisiblenetwork.ai/learn/nptel/104101094/b3eded8e18e8) (YouTube)
47. [Lecture 47 : Projection Operators](https://invisiblenetwork.ai/learn/nptel/104101094/128d735adef0) (YouTube)
48. [Lecture 48 : Projection Operators – Continued](https://invisiblenetwork.ai/learn/nptel/104101094/1ed5a1ee2e2d) (YouTube)
49. [Lecture 49 : Generating SALC’s using Projection Operators](https://invisiblenetwork.ai/learn/nptel/104101094/9a18d3b791f3) (YouTube)
50. [Lecture 50 : Generating SALC’s using Projection Operators - Continued](https://invisiblenetwork.ai/learn/nptel/104101094/5ce65c90271b) (YouTube)
51. [Lecture 51 : Oh complex and Group-subgroup relation](https://invisiblenetwork.ai/learn/nptel/104101094/43e1caac3480) (YouTube)
52. [Lecture 52 : Group-Subgroup Relation](https://invisiblenetwork.ai/learn/nptel/104101094/bb229359f2fc) (YouTube)
53. [Lecture 53 : SALCs as Pi-MO andCyclopropenyl group](https://invisiblenetwork.ai/learn/nptel/104101094/d30ec52de900) (YouTube)
54. [Lecture 54 : SALCs as Pi-MO, Cyclopropenyl group](https://invisiblenetwork.ai/learn/nptel/104101094/3701d3ef084a) (YouTube)
55. [Lecture 55 : SALCs as Pi-MO, Benzene](https://invisiblenetwork.ai/learn/nptel/104101094/9ae5988cbfb2) (YouTube)
56. [Lecture 56 : LCAO Huckel approximation](https://invisiblenetwork.ai/learn/nptel/104101094/836f5b826ed7) (YouTube)
57. [Lecture 57 : Huckel approximation: Naphthalene](https://invisiblenetwork.ai/learn/nptel/104101094/ba20da2bedf8) (YouTube)
58. [Lecture 58 : Stationary states, Multiplicity, Ethylene](https://invisiblenetwork.ai/learn/nptel/104101094/a877abe12330) (YouTube)
59. [Lecture 59 : Napthalene -I](https://invisiblenetwork.ai/learn/nptel/104101094/3d85e6c6ba94) (YouTube)
60. [Lecture 60 : Napthalene -II](https://invisiblenetwork.ai/learn/nptel/104101094/86297d1c27f5) (YouTube)
61. [Lecture 61 : Napthalene -III](https://invisiblenetwork.ai/learn/nptel/104101094/afadedcdb476) (YouTube)
62. [Lecture 62 : Transition Metal Complexes: CFT and LFT](https://invisiblenetwork.ai/learn/nptel/104101094/9d34323b531c) (YouTube)
63. [Lecture 63 : Jahn-Teller Theorem, Tetragonal Distortion MOT:ML6, Sigma and Pi Bonds](https://invisiblenetwork.ai/learn/nptel/104101094/efe6a1ff7e85) (YouTube)
64. [Lecture 64 : MOT approach of bonding,H2O,Ferrocene](https://invisiblenetwork.ai/learn/nptel/104101094/66c6ec439492) (YouTube)
65. [Lecture 65 : MOT approach of bonding,H2O,Ferrocene](https://invisiblenetwork.ai/learn/nptel/104101094/19680ea9d4dd) (YouTube)
66. [Lecture 66 : Derivation: Great Orthogonality Theorem – I (Schurrs Lemma 1)](https://invisiblenetwork.ai/learn/nptel/104101094/9a5c1e0e2de3) (YouTube)
67. [Lecture 67 : Derivation: Great Orthogonality Theorem – II (Schurrs Lemma 2)](https://invisiblenetwork.ai/learn/nptel/104101094/d58fd7c484b3) (YouTube)
68. [Lecture 68 : Derivation: Great Orthogonality Theorem –III](https://invisiblenetwork.ai/learn/nptel/104101094/f950e76b20d0) (YouTube)