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Course10410113960 lectures

Fundamentals of Statistical Thermodynamics

Prof. Nand Kishore · IIT Bombay

Start with lecture 1 At NPTEL

About

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

Week 1

  1. Lecture 1: General introduction to Statistical Thermodynamics YouTube
  2. Lecture 2: Configuration and Weights YouTube
  3. Lecture 3: Configuration and Weights ……. continuation YouTube
  4. Lecture 4: Boltzmann Distribution YouTube
  5. Lecture 5: The Molecular Partition Function YouTube

Week 2

  1. Lecture 6: The Molecular Partition Function of a uniform ladder of energy levels YouTube
  2. Lecture 7: The partition function for a particle of mass m free to move in a one-dimensional container of length X YouTube
  3. 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) YouTube
  4. Lecture 9:Numerical Problems Set-I (based on partition function) YouTube
  5. Lecture 10: Numerical Problems Set-II (based on partition function and translational contribution) YouTube

Week 3

  1. Lecture 11: The Internal Energy YouTube
  2. Lecture 12: Obtaining expression for beta YouTube
  3. Lecture 13: The Statistical Entropy YouTube
  4. Lecture 14: Connecting partition function with entropy YouTube
  5. Lecture 15: Solving numerical problems based on Internal energy and Entropy YouTube

Week 4

  1. Lecture 16: Solving numerical problems based on Internal energy and Entropy YouTube
  2. Lecture 17: Negative Temperature YouTube
  3. Lecture 18 : Further discussion on q (Partition function), U (Internal energy) and S (Entropy) at T > 0 and T < 0 YouTube
  4. Lecture 19 :The Canonical Partition Function YouTube
  5. Lecture 20 : Relating Canonical Partition Function Internal Energy and Entropy YouTube

Week 5

  1. Lecture 21:Recovering molecular partition function q from canonical partition function Q YouTube
  2. Lecture 22: Entropy of a monatomic gas YouTube
  3. Lecture 23: Further discussion on entropy of a monatomic gas - I YouTube
  4. Lecture 24: Further discussion on entropy of a monatomic gas - II YouTube
  5. Lecture 25: The Thermodynamic Functions (Pressure) YouTube

Week 6

  1. Lecture 26: The Thermodynamic Functions (Enthalpy) YouTube
  2. Lecture 27: The Thermodynamic Functions (The Gibbs Energy) YouTube
  3. Lecture 28: The Thermodynamic Functions (The Molecular Partition Function) YouTube
  4. Lecture 29: The Rotational Contribution to Molecular Partition Function YouTube
  5. Lecture 30: The Rotational Contribution to Molecular Partition Function (Nonlinear Rotor) YouTube

Week 7

  1. Lecture 31: The Rotational Contribution to Molecular Partition Function (Linear and Nonlinear Rotor) YouTube
  2. Lecture 32: "Rotational Partition Function (Nonlinear Rotor and some numerical problems)" YouTube
  3. Lecture 33: Vibrational Partition Function - I YouTube
  4. Lecture 34: Vibrational Partition Function-II YouTube
  5. Lecutre 35: Vibrational Partition Function-Applications YouTube

Week 8

  1. Lecture 36: Electronic Partition Function YouTube
  2. Lecture 37: Mean Energies YouTube
  3. Lecture 38: Mean Energies (continued) YouTube
  4. Lecture 39: Heat Capacity YouTube
  5. Lecture 40: Heat Capacity (continued) YouTube

Week 9

  1. Lecture 41: Mean Energies (Applications) YouTube
  2. Lecture 42: Problem Solving YouTube
  3. Lecture 43: Residual Entropy YouTube
  4. Lecture 44: Residual Entropy (continued) YouTube
  5. Lecture 45: Relation between equilibrium constant K and partition function q YouTube

Week 10

  1. Lecture 46: Relation between equilibrium constant K and partition function q (continued) YouTube
  2. Lecture 47: Relation between equilibrium constant K and partition function q (Applications-1) YouTube
  3. Lecture 48: Relation between equilibrium constant K and partition function q (Applications-2) YouTube
  4. Lecture 49: Contributions to equilibrium constant YouTube
  5. Lecture 50: Contributions to equilibrium constant (continued) YouTube

Week 11

  1. Lecture 51: Contributions to equilibrium constant (continued) and Problems Solving YouTube
  2. Lecture 52: Problem solving YouTube
  3. Lecture 53: Problem solving (continued) YouTube
  4. Lecture 54: Equations of state YouTube
  5. Lecture 55: Bose-Einstein Statistics YouTube

Week 12

  1. Lecture 56: Problem Solving YouTube
  2. Lecture 57: FERMI- DIRAC Statistics YouTube
  3. Lecture 58: Radial Distribution Function YouTube
  4. Lecture 59: Recap-1 YouTube
  5. Lecture 60: Recap-2 YouTube

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Bombay
Department
Chemistry and Biochemistry
Teacher
Prof. Nand Kishore
Level
Undergraduate
Language
English
Subjects
Chemistry
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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