RelativisticΞmethod for atoms

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Abstract
Approximate relativistic corrections to the atomic radial wave functions of the recently reported Ξ method are presented based on the approach of Cowan and Griffin. The major relativistic effects are shown to be incorporated into the wave function while retaining the nonrelativistic format. The one-electron eigenvalues, total energies, expectation values of rn for n=−1,1, and 2 and spin-orbit parameter values are reported. The results are comparable with the fully relativistic Dirac-Hartree-Fock values.