The Normal State of the Hydrogen Molecule

Abstract

The dissociation energy, moment of inertia, and fundamental vibration frequency are calculated for a normal hydrogen molecule by a variational method and are found to be 4.02 v, 4,66\ifmmode\cdot\else\textperiodcentered\fi{}${10}^{\ensuremath{-}41}$ gm-${\mathrm{cm}}^{2}$, and 4260 ${\mathrm{cm}}^{\ensuremath{-}1}$ as compared to the experimental values 4.42, 4.67\ifmmode\cdot\else\textperiodcentered\fi{}${10}^{\ensuremath{-}41}$, and 4380, respectively. The calculation is carried through with the simplest possible improvements in the wave functions. In the appendix a number of integrals are listed and two tables of functions are included that may be useful to calculators.