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Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1974 Oct;71(10):3802–3804. doi: 10.1073/pnas.71.10.3802

Study of the Franck-Condon and Herzberg-Teller Approximations

S H Lin 1,2, H Eyring 1,2
PMCID: PMC434271  PMID: 16592183

Abstract

Using the Born-Oppenheimer parameter λ = (m/M)1/4 as a perturbation parameter, we find that for allowed transitions, the zeroth order approximation of the spectral intensity gives rise to the Condon approximation, the first order vibronic coupling and anharmonic effect appear in the first order approximation of the spectral intensity, which gives us the non-Condon scheme, and only the intensity of the transitions of totally-symmetric modes with nonvanishing normal coordinate displacements is affected by the inclusion of the first order vibronic coupling and anharmonic effect. For symmetry-forbidden but vibronic-allowed transitions, the first nonvanishing term of the spectral intensity is second order with respect to λ and the B-O couplings do not appear in the calculation of the spectral intensity until the fourth order approximation with respect to λ; in this case, other high order vibronic couplings and anharmonic effect are competing with the B-O couplings.

Keywords: spectral intensity, vibronic couplings, Born-Oppenheimer couplings, anharmonic effect

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Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. Lin S. H., Eyring H. Study of vibronic and born-oppenheimer couplings. Proc Natl Acad Sci U S A. 1974 Sep;71(9):3415–3417. doi: 10.1073/pnas.71.9.3415. [DOI] [PMC free article] [PubMed] [Google Scholar]

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