# Lecture Notes

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5.76 includes Supplemental lectures as indicated by the (S) symbol.

LEC # | TOPICS |
---|---|

0 | General information (PDF) |

1 | Matrices are useful in spectroscopic theory (PDF) |

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 (PDF) |

2 | Coupled harmonic oscillators: Truncation of an infinite matrix (PDF) |

2 (S) | Matrix solution of harmonic oscillator problem, derivation of heisenberg equation of motion, matrix elements of any function of X and P (PDF) |

3 | Coupled harmonic oscillators (part II) and atoms (PDF) |

3 (S) | Anharmonic oscillator, vibration-rotation interaction, energy levels of a vibrating rotor (PDF) |

4 | How do we get information about V (Q) from molecular constants? (PDF) |

4 (S) | Construction of potential curves by the rydberg-klein-rees method (PDF) |

5 | Atoms: 1e- and alkali (PDF) |

6 | Alkali and many e- atomic spectra (PDF) |

7 | Many e- atoms (PDF) |

8 | How to assign an atomic spectrum (PDF) |

9 | The Born-Oppenheimer approximation (PDF) |

9 (S) | Excerpts from the spectra and dynamics of diatomic molecules (PDF) ( Field, R. W., and H. Lefebvre-Brion. The Spectra and Dynamics of Diatomic Molecules. Burlington, MA: Elsevier Academic Press, 2004. ISBN: 9780124414556. Courtesy of Elsevier. Used with permission.) |

10 | The Born-Oppenheimer approach to transitions (PDF) |

11 | Transitions II (PDF) |

11 (S) | Magnetic and electric effects, related papers (PDF) |

12 | Pictures of spectra and notation (PDF) |

13 | Rotational assignment of diatomic electronic spectra I (PDF) |

13 (S) | Dreckium monoxide (PDF) |

14 | Laser schemes for rotational assignment first lines for Ω', Ω" assignments (PDF) |

15 |
Definition of angular momenta and | A α M Evaluation of (PDF) |

15 (S) | Rotation and angular momenta (PDF) |

16 | ^{2}∏ and ^{2}∑ matrices (PDF) |

17 | Parity and e/f basis for ^{2}∏, ^{2}∑^{±} (PDF) |

18 | Hund's cases: ^{2}∏, ^{2}∑^{±} Examples (PDF) |

18 (S) | Energy level structure of ^{2}∏ and ^{2}∑ states, matrix elements for ^{2}∏ and ^{2}∑ including ∏ ~ ∑ perturbation, parity (PDF) |

19 | Perturbations (PDF) |

19 (S) | A model for the perturbations and fine structure of the ∏ states of CO, factorization of perturbation parameters, the electronic perturbation parameters (PDF) |

20 | Second-order effects (PDF) |

20 (S) | Second-order effects: Centrifugal distortion and Λ-doubling (PDF) |

21 | Rotation of polyatomic molecules I (PDF) |

21 (S) | Coefficients for energy levels of a slightly asymmetric top, energy levels of a rigid rotor, transition strengths for rotational transitions (PDF) |

22 | Asymmetric top (PDF) |

23 | Pure rotation spectra of polyatomic molecules (PDF) |

23 (S) | Energy levels of a rigid rotor, energy levels of an asymmetric rotor (PDF) |

24 | Polyatomic vibrations: Normal mode calculations (PDF) |

25 | Polyatomic vibrations II: s-Vectors, G-matrix, and Eckart condition (PDF) |

26 | Polyatomic vibrations III: s-vectors and H_{2}O (PDF) |

27 | Polyatomic vibrations IV: Symmetry (PDF) |

28 | Normal↔local modes, high-overtone spectra (PDF) |

28 (S) | Summaries of articles by K. Lehmann, B. C. Smith, J. S. Winn, K. Lehmann, W. Klemperer, and M. S. Child and R. T. Lawton (PDF) |

29 | A Sprint through group theory (PDF) |

30 | What is in a character table and how do we use it? (PDF) |

30 (S) | Symmetry operations (PDF) |

31 | Electronic spectra of polyatomic molecules (PDF) |

31 (S) | Excerpts of articles by K. Keith Innes, G. W. King, C. K. Ingold, M. Bogey, H. Bolvin, C. Demuynck, and J. L. Destombes (PDF) |

32 | The transition (PDF) |

33 | Vibronic coupling (PDF) |

34 | Wavepacket dynamics (PDF) |

34 (S) | Abstract of article by M. Bixon and J. Jortner (PDF) |

35 | Finish wavepacket dynamics (PDF) |

36 | CNPI group theory (PDF) |

36 (S) | C_{2}H_{2} has many isomeric forms (PDF - 1.1 MB) |

37 | Laser double resonance studies of electronic spectroscopyand vibrational state mixing in highly vibrationally excited C_{2}H_{2} (PDF) |

38 | Laser double resonance studies of Ã^{1}A_{u} C_{2}H_{2} (PDF - 1.4 MB) |