Relativistic study of K-shell x-ray and Auger-electron energy shifts for additional atomic vacancies.

Abstract

The hydrogenic model of Burch et al. for calculating the energy shifts of the K x ray and Auger electrons for a vacancy in the L shell is extended to incorporate the effect of relativity. Numerical results are presented for 18 values of Z (from 10 to 95 in steps of 5). The computations are based on two different choices of the screening parameters. The effective nuclear charges (${Z}_{\mathrm{eff})}$ determined by the method of O'Connell and Carroll yield numbers for the energy shifts close to the predictions of Hartree-Fock (HF) and Hartree-Fock-Slater (HFS) calculations. On the other hand, ${Z}_{\mathrm{eff}}$ obtained from Slater's rule gives numbers which are considerably larger than the HF and HFS values. However, the choice of screening is crucial only for low-Z elements and relativity plays an increasingly dominant role as one goes to higher atomic numbers. It is found that the relativistic effect is more pronounced for a vacancy in the ${L}_{2}$ subshell.