The Deep Configurations of Cobalt

The energy matrix of electrostatic and magnetic spinorbit interaction is set up for $d^7{s}^2$, $d^{8}s$ and $d^9$, taking into account the mutual interactions of these configurations. The secular equations are fitted to the deep configurations of Co I, separately, by selecting suitable values for the interaction parameters. The uncertainty existing concerning the assignments of $a^{2}D$, $a^{2}G$ and $b^{2}D$ is removed. The $g$-factors for the Zeeman effect in intermediate coupling are calculated for comparison with experimental values presented in the following paper. The mutual interactions of $3d^{8}4s$ with $3d^{7}4s^2$ and $3d^9$ are found to be relatively insignificant. The secular equations are fitted to $3d^{7}4s^2$ and $3d^9$ together, tentatively, in order to observe the effect of mutual interaction upon the values of certain terms which have not yet been discovered, and upon the $g$-factors. The interaction parameters are compared with those of the deep configurations of Ni I.