KLLAuger Transition Probabilities

$\mathrm{KLL}$ Auger transition rates have been computed for a variety of atoms $Z=1\mathrm{}$ to $Z=80\mathrm{}$ for all transitions involved. Screened nonrelativistic hydrogenic wave functions were used, with screening constants derived from the limiting screening numbers for self consistent-field functions given by Froese. Auger electron energies were derived from tabulated energy level values. Transition probabilities in the Russell-Saunders coupling forms given by Asaad and Burhop were obtained. They show smooth changes with $Z$, tending to saturate at high $Z$. The ${}_{}{}^1{}_{}{}^{}D_2^{}{}_{}{}^{}$ and ${}_{}{}^1{}_{}{}^{}P_1^{}{}_{}{}^{}$ probabilities show much greater increases with $Z$ than do those of ${}_{}{}^1{}_{}{}^{}S_0^{}{}_{}{}^{}$ and ${}_{}{}^3{}_{}{}^{}P_J^{}{}_{}{}^{}$. These Auger probabilities for the $\mathrm{sp}$ and $p^2$ cases are opposite in strength to those found by Asaad using relativistic theory. Variations in the transition rates for several atoms were found when effective atomic charge and ejected electron energy were changed slightly. Additionally, some $K$-shell fluorescence yields were computed and they are compared with other values.