Franck-Condon factor formulae for astrophysical and other molecules

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astrophysics, Diatomic Molecules, Franck-Condon Principle, Interstellar Chemistry, Molecular Spectra, Internuclear Properties, Molecular Interactions, Stellar Atmospheres, Transition Probabilities, Vibrational Spectra

Scientific paper

Simple closed-form, approximate, analytic expressions for Franck-Condon factors are given. They provide reliable estimates for Franck-Condon factor arrays for molecular band systems for which only vibrational-frequency, equilibrium internuclear separation and reduced mass values are known, as is often the case for astrophysically interesting molecules such as CeO, CoH, CrH, CrO, CuH, GeH, LaO, NiH, SnH, and ZnH for band systems of which Franck-Condon arrays have been calculated.

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