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General information |
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Matrices are useful in spectroscopic theory |
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| 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 |
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Coupled harmonic oscillators: truncation of an infinite matrix |
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| 2 (S) |
Matrix solution of harmonic oscillator problem, derivation of heisenberg equation of motion, matrix elements of any function of X and P |
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| 3 |
Building an effective hamiltonian |
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| 3 (S) |
Anharmonic oscillator, vibration-rotation interaction, energy levels of a vibrating rotor |
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Atoms: 1e- and alkali |
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Alkali and many e- atomic spectra |
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Many e- atoms |
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How to assign an atomic spectrum |
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The Born-Oppenheimer approximation |
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| 8 (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.) |
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The Born-Oppenheimer approach to transitions |
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The Born-Oppenheimer approach to transitions II |
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Pictures of spectra and notation |
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Rotational assignment of diatomic electronic spectra I |
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Laser schemes for rotational assignment first lines for Ω', Ω" assignments |
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Definition of angular momenta and | A α MA >
Evaluation of 
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| 14 (S) |
Rotation and angular momenta |
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2∏ and 2∑ matrices |
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Parity and e/f basis for 2∏, 2∑± |
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Hund's cases: 2∏, 2∑± examples |
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Energy level structure of 2∏ and 2∑ states, matrix elements for 2∏ and 2∑ including ∏ ~ ∑ perturbation, parity |
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Perturbations |
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| 18 (S) |
A model for the perturbations and fine structure of the ∏ states of CO, factorization of perturbation parameters, the electronic perturbation parameters |
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Second-order effects |
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| 19 (S) |
Second-order effects: centrifugal distortion and Λ-doubling |
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Transformations between basis sets: 3-j, 6-j, and Wigner-Eckart theorem |
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| 21 |
Construction of potential curves by the Rydberg-Klein-Rees method (RKR) |
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Rotation of polyatomic molecules I |
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| 22 (S) |
Energy levels of a rigid rotor, energy levels of an asymmetric rotor |
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Asymmetric top |
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| 23 (S) |
Energy levels of a rigid rotor, energy levels of an asymmetric rotor |
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Pure rotation spectra of polyatomic molecules |
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| 24 (S) |
Energy levels of a rigid rotor |
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Polyatomic vibrations: normal mode calculations |
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Polyatomic vibrations II: s-vectors, G-matrix, and Eckart condition |
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Polyatomic vibrations III: s-vectors and H2O |
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Polyatomic vibrations IV: symmetry |
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| 29 |
A sprint through group theory |
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| 30 |
What is in a character table and how do we use it? |
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Electronic spectra of polyatomic molecules |
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The  transition |
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Vibronic coupling |
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| 33 (S) |
Time-independent Schrodinger equation for a molecular system |
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Wavepacket dynamics |
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Wavepacket dynamics II |
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| 36 |
Wavepacket dynamics III |
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