Recorded on March 13, 2013. Slides: 01:02- Simulation 06:32- 23: Statistical Mechanics Examples 06:38- Langrange Multipliers: Motivation 09:24- Math Review: Langrange Multipliers 11:22- Langrange Multipliers: Example 1 13:38- Langrange Multipliers: Example 2 16:30- Multiple Constraints 18:50- Partition Function Example 1, Speed Distribution 20:00- Partition Function Example 1, Maxwell-Boltzmann Distribution of Particle Velocities 21:32- Partition Function Example 1, Simplifying Further 22:43- Partition Function Example 1, The Mean- Square Velocity Define the Width of the Distribution 26:33- Partition Function Example 1, Ideal Gas 27:06- Partition Function Example 1, Temperature Dependence of Velocity Distribution 27:42- Partition Function Example 2, Curie's law of Paramagnetism 32:40- Partition Function Example 2, Calculate the Average Magnetization as a Function of T 34:52- Partition Function Example 2, Using the Taylor Series Expansion 38:36- Curie's Law 39:17- Partition Function Example 3, Consider the Microstates 42:19- Partition Function Example 3, Assume the Beads Have an Attractive Force

1. Symmetry and Spectroscopy I
2. Symmetry and Spectroscopy II
3. Transformation Matrices
4. Group Theory Applications
5. Rotational Spectroscopy I
6. Rotational Spectroscopy II
7. Rotational Spectroscopy III
8. Molecular Motion
9. Vibrations in Molecules
10. Anharmonic Potential.
11. First Midterm Exam Review.
12. Electronic Spectroscopy
13. Electronic Spectroscopy II
14. Electronic Spectroscopy III
15. Electronic Spectroscopy IV
16. Fourier Transforms & Introduction to Nuclear Magnetic Resonance (NMR)
17. Nuclear Magnetic Resonance II
18. Eigenstates & Eigenvalues
19. Spin Rotations T1 & T2
20. NMR Applications/ Review
21. Second Midterm Examination Review
22. The Boltzmann Distribution
23. Partition Functions I
24. Partition Functions II
25. Partition Functions
26. Final Exam Review

Principles of quantum mechanics with application to the elements of atomic structure and energy levels, diatomic molecular spectroscopy and structure determination, and chemical bonding in simple molecules. Chemistry Dept. | Physical Sciences Sch. | University of California, Irvine