Relativistic fluorescence yields for hollow atoms in the range12⩽Z⩽56

Abstract

Energies and electric dipole rates of x rays from doubly ionized $K$ shells of atoms in the range $Z=12$ to 56 have been calculated in the active space approximation using multiconfiguration Dirac-Fock wave functions with the inclusion of higher order relativistic corrections. Using a scaling procedure on the already available relativistic radial matrix elements for a single vacancy in the $K$ shell, the Auger rates have been calculated for the empty $K$ shell. The present investigation shows that though the contribution from relativistic correlation to the $K\ensuremath{\alpha}$ x-ray hypersatellite energies is not significant, the strength of correlation on the x-ray rates is appreciable, especially for low $Z$ elements. It is observed that the contribution to single configuration $K{\ensuremath{\alpha}}_{2}^{h}$ rate of low $Z$ ions is essentially from electron-electron correlation whereas Breit interaction contributes significantly to the $K{\ensuremath{\alpha}}_{2}^{h}$ rate of high $Z$ elements. The $K{\ensuremath{\alpha}}_{1}^{h}$ rate is affected both by correlation and higher order relativistic corrections. The computed results for the x-ray and Auger transitions as well the fluorescence yields of double hole $K$ shell of various ions are reported and compared with other available values.