Atomic Radiation Transition Probabilities to the1sState and TheoreticalK-Shell Fluorescence Yields

Radiationless transition probabilities to the atomic $1s$ shell are calculated for all transitions that contribute measurably to the Auger effect. Screened nonrelativistic hydrogenic wave functions are used. The effective charge for the continuum-electron Coulomb wave function is taken to be the geometric mean of the effective charges appropriate for the state from which the electron originates and the next-higher state. The results are combined with Scofield's radiative transition probabilities to derive theoretical $K$-shell fluorescence yields. Agreement with a selected set of most reliable ${\omega }_K$ measurements is very good in the range from $Z=10\mathrm{} \mathrm{to} 55$, and total $K$-level widths agree very well with measured values.