5.80 includes supplemental lectures as indicated by the (S) symbol.
SES #  TOPICS 

0  General information 
1  Matrices are useful in spectroscopic theory 
1 (S)  Spectroscopic notation, good quantum numbers, perturbation theory and secular equations, nonorthonormal basis sets, transformation of matrix elements of any operator into perturbed basis set 
2  Coupled harmonic oscillators: truncation of an infinite matrix 
2 (S)  Matrix solution of harmonic oscillator problem, derivation of heisenberg equation of motion, matrix elements of any function of X and P 
3  Building an effective hamiltonian 
3 (S)  Anharmonic oscillator, vibrationrotation interaction, energy levels of a vibrating rotor 
4  Atoms: 1e and alkali 
5  Alkali and many e atomic spectra 
6  Many e atoms 
7  How to assign an atomic spectrum 
8  The BornOppenheimer approximation 
8 (S)  Excerpts from the spectra and dynamics of diatomic molecules 
9  The BornOppenheimer approach to transitions 
10  The BornOppenheimer approach to transitions II 
11  Pictures of spectra and notation 
12  Rotational assignment of diatomic electronic spectra I 
13  Laser schemes for rotational assignment first lines for Ω’, Ω" assignments 
14 
Definition of angular momenta and  A α M_{A} > Evaluation of Ĥ^{ROT} 
14 (S)  Rotation and angular momenta 
15  ^{2}∏ and ^{2}∑ matrices 
16  Parity and e/f basis for ^{2}∏, ^{2}∑^{±} 
17  Hund’s cases: ^{2}∏, ^{2}∑^{±} examples 
17 (S)  Energy level structure of ^{2}∏ and ^{2}∑ states, matrix elements for ^{2}∏ and ^{2}∑ including ∏ ~ ∑ perturbation, parity 
18  Perturbations 
18 (S)  A model for the perturbations and fine structure of the ∏ states of CO, factorization of perturbation parameters, the electronic perturbation parameters 
19  Secondorder effects 
19 (S)  Secondorder effects: centrifugal distortion and Λdoubling 
20  Transformations between basis sets: 3j, 6j, and WignerEckart theorem 
21  Construction of potential curves by the RydbergKleinRees method (RKR) 
22  Rotation of polyatomic molecules I 
22 (S)  Energy levels of a rigid rotor, energy levels of an asymmetric rotor 
23  Asymmetric top 
23 (S)  Energy levels of a rigid rotor, energy levels of an asymmetric rotor 
24  Pure rotation spectra of polyatomic molecules 
24 (S)  Energy levels of a rigid rotor 
25  Polyatomic vibrations: normal mode calculations 
26  Polyatomic vibrations II: svectors, Gmatrix, and Eckart condition 
27  Polyatomic vibrations III: svectors and H_{2}O 
28  Polyatomic vibrations IV: symmetry 
29  A sprint through group theory 
30  What is in a character table and how do we use it? 
31  Electronic spectra of polyatomic molecules 
32 
The transition

33  Vibronic coupling 
33 (S)  Timeindependent Schrodinger equation for a molecular system 
34  Wavepacket dynamics 
35  Wavepacket dynamics II 
36  Wavepacket dynamics III 