THE (ls2s) AND $(2p\Sigma)^{2}\ {^{1}} \Sigma_{g}{^{+}}$ STATES OF THE $H_{2}$ $MOLECULE^{*}$
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Date
1960
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Ohio State University
Abstract
The electronic potential energy for the first two $1^\sigma_{g}{^{+}}$ excited stales of the hydrogen molecule has been computed as a function of internuclear distance using a twenty term expansion in elliptical coordinates with two non-linear parameters. The terms in the expansion were of the form \[ \xi^{n}_{1} \eta^{j}_{1} e^{-\alpha{_{1}} \xi{_{1}}} \xi^{\overline{n}}_{2} \eta^{\overline{1}}_{2} e^{-\alpha{_{2}}\xi{_{2}}}\quad (1+P_{12}). \]. Rather unusual potential curves were obtained which were difficult to compare directly with experimental data. Hence a method of numerical integration was devised for computing the vibrational-rotational levels arising from these curves. The results of this computation will be presented.
Description
$^{*}$Supported by the United States Air Force OSR and the National Science Foundation.
Author Institution: Chemistry Department, Indiana University
Author Institution: Chemistry Department, Indiana University