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, non-orthonormal 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, vibration-rotation 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 Born-Oppenheimer approximation |

8 (S) | Excerpts from the spectra and dynamics of diatomic molecules |

9 | The Born-Oppenheimer approach to transitions |

10 | The Born-Oppenheimer 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 Evaluation of |

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 | Second-order effects |

19 (S) | Second-order effects: centrifugal distortion and Λ-doubling |

20 | Transformations between basis sets: 3-j, 6-j, and Wigner-Eckart theorem |

21 | Construction of potential curves by the Rydberg-Klein-Rees 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: s-vectors, G-matrix, and Eckart condition |

27 | Polyatomic vibrations III: s-vectors 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) | Time-independent Schrodinger equation for a molecular system |

34 | Wavepacket dynamics |

35 | Wavepacket dynamics II |

36 | Wavepacket dynamics III |