Knowledge Bank

The electronic potential energy for the first two $1g\sigma \mathrm{<mrow\; data-mjx-texclass="ORD">+</mrow>}$ 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.