A Relativistic Self-Consistent Field forCu+

Abstract

An improvement can be made in the Hartree self-consistent field solution of the many-electron atom by substituting the Dirac relativistic one-electron equation for the Schr\"odinger one-electron equation. It has been shown earlier that in the solution without exchange the necessary potential function can be found just as in the nonrelativistic case. The numerical solution for the inner shells of ${\mathrm{Cu}}^{+}$ is outlined, and tables of the resulting energy parameters and charge density distribution are given. The corrections introduced into the charge density distribution are small, except near the nucleus, for this comparatively light ion. The energy parameters are noticeably affected, and the known splitting of the ($p$) and ($d$) energy parameters is shown. Approximate calculations of the magnetic interaction energies between two electrons show the results to be negligible, to the order of accuracy of the main calculations.