Analytic Wave Functions. I. Atoms with1s,2s, and2pElectrons

Analytic wave functions are utilized to obtain a general expression for the atomic energy for atoms having one or more electrons in the $1s$, $2s$, and $2p$ orbitals. A minimization of this energy expression, containing three independently variable parameters, has been programed on the IBM 704 electronic data processing machine. As an example, this program has been utilized for obtaining the best analytic wave functions for the single ground configuration of ${\mathrm{O}}^{-}$ and the three ground configurations of O.