Lecture Notes

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

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) (Amazon logo 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)

Definition of angular momenta and | A α MA >

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 H2O (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) C2H2 has many isomeric forms (PDF - 1.1 MB)
37 Laser double resonance studies of electronic spectroscopyand vibrational state mixing in highly vibrationally excited C2H2 (PDF)
38 Laser double resonance studies of Ã1Au C2H2 (PDF - 1.4 MB)