Tables for Determining Atomic Wave Functions and Energies

Tables have been constructed so that wave functions and energies, for any atomic state having $1s$, $2s$ and $2p$ electrons, can be computed by variational means. Exchange terms are included, so that singlet and triplet states can be minimized separately. By using the tables a state can be calculated in a few hours. A few of the possible states have been worked out. The best parameters, the total energies and the term values are given for the states $\left(1\mathrm{}{s}^2\right){}_{}{}^1{}_{}{}^{}S,(1s,2s)\mathrm{}{}_{}{}^1{}_{}{}^{}S,{}_{}{}^3{}_{}{}^{}S;(1,2p)\mathrm{}{}_{}{}^1{}_{}{}^{}P,{}_{}{}^3{}_{}{}^{}P; (1\mathrm{}{s}^2,2s){}_{}{}^2{}_{}{}^{}S; (1\mathrm{}{s}^2,2p){}_{}{}^2{}_{}{}^{}P; (1\mathrm{}{s}^2,2\mathrm{}{s}^2){}_{}{}^1{}_{}{}^{}S; (1\mathrm{}{s}^2,2s,2p){}_{}{}^1{}_{}{}^{}P,{}_{}{}^3{}_{}{}^{}P; (1\mathrm{}{s}^2,2\mathrm{}{p}^2){}_{}{}^1{}_{}{}^{}S,{}_{}{}^1{}_{}{}^{}D,{}_{}{}^3{}_{}{}^{}P; (1\mathrm{}{s}^2,2\mathrm{}{s}^2,2p){}_{}{}^2{}_{}{}^{}P; (1\mathrm{}{s}^2,2\mathrm{}{s}^2,2\mathrm{}{p}^6){}_{}{}^1{}_{}{}^{}S$; of the atoms He, Li, Be, B, C, N, O, F, Ne, Na and Mg. The intramultiplet separations have been computed, including the spin-spin interaction when necessary: the check with experiment being fairly satisfactory. By the use of an empirical correction rule, term values can be predicted to within a few hundred wave numbers.