Knowledge Bank

“A wave function of the form $\chi =\varphi (1)\varphi (2)\chi (r12)$ has been applied to compute the ground state energy of the hydrogen molecule. Preliminary results will be presented of variation calculations in which functions $\varphi -e-\zeta \Sigma rsa18\zeta \tau \eta \zeta$ and $\chi =\Sigma ncnr12o$ (where $\zeta$ and $\eta$ are elliptic coordinates, $\zeta$ is the orbital exponent, and $r12$ the distance between the electrons) have been employed. The lengths of the expansions used should reproduce the energy obtainable from a full variation of $\varphi$ and $\chi$ to about four significant figures.”