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We show that the Franck-Condon Factor (FCF) associated to a transition between initial and final vibrational states in two different potential energy surfaces, having $N$ and $M$ vibrational quanta, respectively, is equivalent to calculating the number of perfect matchings of a weighted graph with loops that has $P = N+M$ vertices.
Zur quantentheorie der molekeln
Max Born and Robert Oppenheimer · 1927
Earlier work this paper cites.
The importance of the electron spectrum in multi atomic molecules. concerning the franck-condon principle
F Duschinsky · 1937
Earlier work this paper cites.
Infrared and Raman spectra of polyatomic molecules
Gerhard Herzberg · 1945
Earlier work this paper cites.
The canonical form of an antisymmetric tensor and its application to the theory of superconductivity
Claude Bloch and Albert Messiah · 1962
Earlier work this paper cites.
Handbook of mathematical functions: with formulas, graphs, and mathematical tables
Milton Abramowitz and Irene A Stegun · 1972
Earlier work this paper cites.
Dynamical symmetry of vibronic transitions in polyatomic molecules and the franck-condon principle
EV Doktorov, IA Malkin, and VI Man’Ko · 1975
Earlier work this paper cites.
Dynamical symmetry of vibronic transitions in polyatomic molecules and the franck-condon principle
EV Doktorov, IA Malkin, and VI Man’ko · 1977
Earlier work this paper cites.
The complexity of computing the permanent
Leslie G Valiant · 1979
Earlier work this paper cites.
The Art of Computer Programming, Vol. 2: Seminumerical Algorithms
Donald E. Knuth · 1981
Earlier work this paper cites.
The spectra and structures of simple free radicals: an introduction to molecular spectroscopy
Gerhard Herzberg · 1988
Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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