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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 Sep;71(9):3415–3417. doi: 10.1073/pnas.71.9.3415

Study of Vibronic and Born-Oppenheimer Couplings

S H Lin *, H Eyring
PMCID: PMC433783  PMID: 16592176

Abstract

The purpose of this paper has been to develop a systematic approach for classifying and distinguishing the relative orders of approximation of various types of couplings like the vibronic (Herzberg-Teller) couplings and Born-Oppenheimer couplings, and for studying the importance of the anharmonicity in the quantitative calculation of the spectral intensity and electronic relaxation. It will be shown that the perturbation parameter introduced by Born and Oppenheimer in separating the electronic and nuclear motion involved in the molecular Schrödinger equation, λ = (m/M)¼, can be used for this purpose by expanding wavefunctions and energies in power series of λ.

Keywords: adiabatic approximations, Herzberg-Teller theory

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Selected References

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

  1. Richardson W., Volk L., Lau K. H., Lin S. H., Eyring H. Application of the singular perturbation method to reaction kinetics. Proc Natl Acad Sci U S A. 1973 May;70(5):1588–1592. doi: 10.1073/pnas.70.5.1588. [DOI] [PMC free article] [PubMed] [Google Scholar]

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