Recorded on January 9, 2013. Index of Topics: 3:12 Example 1 9:13 Example 2: Benzene 12:19 Example 3 13:55 Example: Low symmetry 20:02 Matrix representations 20:04 Point Group: Flow Chart 20:06 Character Tables 30:44 Matrices 34:27 Matrix Multiplication 36:32 Matrices 36:46 Transformation Matrices 40:03 Transformations 41:23 Practice Problems 41:42 Rotation Matrix 44:07 Matrix Representation of Operations 45:36 Inverse of a Matrix Required attribution: Martin, Rachel. Molecular Structure & Statistical Mechanics 131B (UCI OpenCourseWare: University of California, Irvine), ocw.uci.edu/courses/chem_131b_molecular_structure_and_elementary_statistical_mechanics.html. [Access date]. License: Creative Commons Attribution-ShareAlike 3.0 United States License. (creativecommons.org/licenses/by-sa/3.0/us/deed.en_US).

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