PROPERTIES OF EXCITED ELECTRONIC STATES FROM AN INTERNUCLEAR POTENTIAL FUNCTION
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Date
1955
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Ohio State University
Abstract
The simple potential function \begin{equation}{V}={D}_{e}(1-{e}^{-{n}\Delta{r}^{2}}/2{r})\end{equation} has been derived for one- and two-electron systems from a simple quantum mechanical model. This function has been used previously to describe the properties of a large number of diatomic and polyatomic molecules in their ground states. This function has now been applied to a number of excited states of diatomic molecules and the results indicate that the dissociation energies of these states may be predicted with 4% accuracy using the equation \begin{equation}{D}_{e}={k}_{e}/[(64\pi^{2}{c}\mu\omega_{e}{x}_{e}/3{h})-1/{r}_{e}^{2}]\end{equation} which has been derived from equation (1). The results for the excited states of $H_{2}$, $O_{2}$, $N_{2}$, CO, and other molecules are discussed.
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Author Institution: Department of Chemistry, Kansas State College