# Fundamentals of Statistical Thermodynamics

- Institution: IIT Bombay
- Department: Chemistry and Biochemistry
- Teacher: Prof. Nand Kishore
- Level: Undergraduate
- Language: English
- Subjects: Chemistry
- Source: [NPTEL](https://nptel.ac.in/courses/104101139)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/104101139)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

Statistical thermodynamics will establish a link between bulk properties based on classical thermodynamics (which students are presumed to have learnt) with microscopic properties of individual molecules. All the essential thermodynamic quantities and laws will be expressed in terms of relevant partition functions. The knowledge thus gained from the contents of this course will enable students to understand that thermodynamic quantities can also be obtained from spectroscopic measurements.

Intended audience: BS (Chemistry); M Sc (Chemistry)

Prerequisites: Previous knowledge of Chemical Thermodynamics is preferred

## Lectures

1. [Lecture 1: General introduction to Statistical Thermodynamics](https://invisiblenetwork.ai/learn/nptel/104101139/73481a8894dc) (YouTube)
2. [Lecture 2: Configuration and Weights](https://invisiblenetwork.ai/learn/nptel/104101139/43c0813c8399) (YouTube)
3. [Lecture 3: Configuration and Weights ……. continuation](https://invisiblenetwork.ai/learn/nptel/104101139/d51a6b6a681e) (YouTube)
4. [Lecture 4: Boltzmann Distribution](https://invisiblenetwork.ai/learn/nptel/104101139/35c86da27a83) (YouTube)
5. [Lecture 5: The Molecular Partition Function](https://invisiblenetwork.ai/learn/nptel/104101139/26483cfd716f) (YouTube)
6. [Lecture 6: The Molecular Partition Function of a uniform ladder of energy levels](https://invisiblenetwork.ai/learn/nptel/104101139/44e337121863) (YouTube)
7. [Lecture 7: The partition function for a particle of mass m free to move in a one-dimensional container of length X](https://invisiblenetwork.ai/learn/nptel/104101139/270961838f0e) (YouTube)
8. [Lecture 8: The partition function for a particle of mass m free to move in a three-dimensional container of sides X, Y, Z (Volume V)](https://invisiblenetwork.ai/learn/nptel/104101139/2aaee983783b) (YouTube)
9. [Lecture 9:Numerical Problems Set-I (based on partition function)](https://invisiblenetwork.ai/learn/nptel/104101139/9762ec923818) (YouTube)
10. [Lecture 10: Numerical Problems Set-II (based on partition function and translational contribution)](https://invisiblenetwork.ai/learn/nptel/104101139/baf681f58f97) (YouTube)
11. [Lecture 11: The Internal Energy](https://invisiblenetwork.ai/learn/nptel/104101139/467a3436df26) (YouTube)
12. [Lecture 12: Obtaining expression for beta](https://invisiblenetwork.ai/learn/nptel/104101139/2ed27611d254) (YouTube)
13. [Lecture 13: The Statistical Entropy](https://invisiblenetwork.ai/learn/nptel/104101139/46b0d2856495) (YouTube)
14. [Lecture 14: Connecting partition function with entropy](https://invisiblenetwork.ai/learn/nptel/104101139/9b6bb6471ee0) (YouTube)
15. [Lecture 15: Solving numerical problems based on Internal energy and Entropy](https://invisiblenetwork.ai/learn/nptel/104101139/9e74d8125341) (YouTube)
16. [Lecture 16: Solving numerical problems based on Internal energy and Entropy](https://invisiblenetwork.ai/learn/nptel/104101139/3b15d511d6df) (YouTube)
17. [Lecture 17: Negative Temperature](https://invisiblenetwork.ai/learn/nptel/104101139/8654f902195e) (YouTube)
18. [Lecture 18 : Further discussion on q (Partition function), U (Internal energy) and S (Entropy) at T > 0 and T < 0](https://invisiblenetwork.ai/learn/nptel/104101139/f5a86d16083a) (YouTube)
19. [Lecture 19 :The Canonical Partition Function](https://invisiblenetwork.ai/learn/nptel/104101139/0071969316f0) (YouTube)
20. [Lecture 20 : Relating Canonical Partition Function Internal Energy and Entropy](https://invisiblenetwork.ai/learn/nptel/104101139/877a4b3ad3ec) (YouTube)
21. [Lecture 21:Recovering molecular partition function q from canonical partition function Q](https://invisiblenetwork.ai/learn/nptel/104101139/f1668de1f7c7) (YouTube)
22. [Lecture 22: Entropy of a monatomic gas](https://invisiblenetwork.ai/learn/nptel/104101139/efe1add08725) (YouTube)
23. [Lecture 23: Further discussion on entropy of a monatomic gas - I](https://invisiblenetwork.ai/learn/nptel/104101139/c833d0f63d66) (YouTube)
24. [Lecture 24: Further discussion on entropy of a monatomic gas - II](https://invisiblenetwork.ai/learn/nptel/104101139/c1ec1c3cb3ec) (YouTube)
25. [Lecture 25: The Thermodynamic Functions (Pressure)](https://invisiblenetwork.ai/learn/nptel/104101139/ad68ac97dade) (YouTube)
26. [Lecture 26: The Thermodynamic Functions (Enthalpy)](https://invisiblenetwork.ai/learn/nptel/104101139/548941252b8d) (YouTube)
27. [Lecture 27: The Thermodynamic Functions (The Gibbs Energy)](https://invisiblenetwork.ai/learn/nptel/104101139/cf09fafbb19f) (YouTube)
28. [Lecture 28: The Thermodynamic Functions (The Molecular Partition Function)](https://invisiblenetwork.ai/learn/nptel/104101139/e9202d579b20) (YouTube)
29. [Lecture 29: The Rotational Contribution to Molecular Partition Function](https://invisiblenetwork.ai/learn/nptel/104101139/df0f8ba38a08) (YouTube)
30. [Lecture 30: The Rotational Contribution to Molecular Partition Function (Nonlinear Rotor)](https://invisiblenetwork.ai/learn/nptel/104101139/e8c23fcd4ed2) (YouTube)
31. [Lecture 31: The Rotational Contribution to Molecular Partition Function (Linear and Nonlinear Rotor)](https://invisiblenetwork.ai/learn/nptel/104101139/37debc18bce3) (YouTube)
32. [Lecture 32: "Rotational Partition Function (Nonlinear Rotor and some numerical problems)"](https://invisiblenetwork.ai/learn/nptel/104101139/e2291a4862ec) (YouTube)
33. [Lecture 33: Vibrational Partition Function - I](https://invisiblenetwork.ai/learn/nptel/104101139/1430cb5e15b2) (YouTube)
34. [Lecture 34: Vibrational Partition Function-II](https://invisiblenetwork.ai/learn/nptel/104101139/471906275322) (YouTube)
35. [Lecutre 35: Vibrational Partition Function-Applications](https://invisiblenetwork.ai/learn/nptel/104101139/4370103af4f7) (YouTube)
36. [Lecture 36: Electronic Partition Function](https://invisiblenetwork.ai/learn/nptel/104101139/12f5e5d75967) (YouTube)
37. [Lecture 37: Mean Energies](https://invisiblenetwork.ai/learn/nptel/104101139/369d70cf3109) (YouTube)
38. [Lecture 38: Mean Energies (continued)](https://invisiblenetwork.ai/learn/nptel/104101139/c03ae1de8f45) (YouTube)
39. [Lecture 39: Heat Capacity](https://invisiblenetwork.ai/learn/nptel/104101139/183e9696b435) (YouTube)
40. [Lecture 40: Heat Capacity (continued)](https://invisiblenetwork.ai/learn/nptel/104101139/41490b635d5c) (YouTube)
41. [Lecture 41: Mean Energies (Applications)](https://invisiblenetwork.ai/learn/nptel/104101139/540d26321974) (YouTube)
42. [Lecture 42: Problem Solving](https://invisiblenetwork.ai/learn/nptel/104101139/4af38d295b45) (YouTube)
43. [Lecture 43: Residual Entropy](https://invisiblenetwork.ai/learn/nptel/104101139/7fa49e021388) (YouTube)
44. [Lecture 44: Residual Entropy (continued)](https://invisiblenetwork.ai/learn/nptel/104101139/de5d6a76e6b4) (YouTube)
45. [Lecture 45: Relation between equilibrium constant K and partition function q](https://invisiblenetwork.ai/learn/nptel/104101139/a3093ec0d7d9) (YouTube)
46. [Lecture 46: Relation between equilibrium constant K and partition function q (continued)](https://invisiblenetwork.ai/learn/nptel/104101139/e72c30e25d7e) (YouTube)
47. [Lecture 47: Relation between equilibrium constant K and partition function q (Applications-1)](https://invisiblenetwork.ai/learn/nptel/104101139/11fe0b5f2efc) (YouTube)
48. [Lecture 48: Relation between equilibrium constant K and partition function q (Applications-2)](https://invisiblenetwork.ai/learn/nptel/104101139/2800c7514bf5) (YouTube)
49. [Lecture 49: Contributions to equilibrium constant](https://invisiblenetwork.ai/learn/nptel/104101139/eb00a36cfb45) (YouTube)
50. [Lecture 50: Contributions to equilibrium constant (continued)](https://invisiblenetwork.ai/learn/nptel/104101139/cbcaf0d96aa5) (YouTube)
51. [Lecture 51: Contributions to equilibrium constant (continued) and Problems Solving](https://invisiblenetwork.ai/learn/nptel/104101139/b64328634eab) (YouTube)
52. [Lecture 52: Problem solving](https://invisiblenetwork.ai/learn/nptel/104101139/4b06d646e588) (YouTube)
53. [Lecture 53: Problem solving (continued)](https://invisiblenetwork.ai/learn/nptel/104101139/a276a90c22ce) (YouTube)
54. [Lecture 54: Equations of state](https://invisiblenetwork.ai/learn/nptel/104101139/be3aa4ebb2d3) (YouTube)
55. [Lecture 55: Bose-Einstein Statistics](https://invisiblenetwork.ai/learn/nptel/104101139/280790eb4a2e) (YouTube)
56. [Lecture 56: Problem Solving](https://invisiblenetwork.ai/learn/nptel/104101139/f0d096aba159) (YouTube)
57. [Lecture 57: FERMI- DIRAC Statistics](https://invisiblenetwork.ai/learn/nptel/104101139/f0a0f076096c) (YouTube)
58. [Lecture 58: Radial Distribution Function](https://invisiblenetwork.ai/learn/nptel/104101139/2f1158e319d2) (YouTube)
59. [Lecture 59: Recap-1](https://invisiblenetwork.ai/learn/nptel/104101139/ea8a38356a6c) (YouTube)
60. [Lecture 60: Recap-2](https://invisiblenetwork.ai/learn/nptel/104101139/f5bc7b50ed01) (YouTube)