Theoretical $L_2$- and $L_3$-Subshell Fluorescence Yields and $L_2-L_{3}X$ Coster-Kronig Transition Probabilities

$L_2$-subshell fluorescence yields ${\omega }_2$ and $L_2-L_{3}X$ Coster-Kronig transition probabilities $f_{23}$ have been calculated for 21 elements with atomic numbers $26<~Z<~93$, and $L_3$ fluorescence yields ${\omega }_3$ were computed for 14 atoms with $26<~Z<~85$. Radiationless transition probabilities were calculated in $j-j$ coupling from screened nonrelativistic hydrogenic wave functions. All contributing Auger matrix elements including states through $4f_{\frac{7}{2}}$ were included. The theoretical Auger widths were combined with Scofield's x-ray emission rates to derive fluorescence yields. Results from ${\omega }_2$ and ${\omega }_3$ are in very good agreement with experiment. The calculated Coster-Kronig transition probabilities are close to those derived by McGuire from a self-consistent-field potential. However, the theoretical $f_{23}$ curves differ by ∼35% from measured values of $f_{23}$. No explanation for this discrepancy has been found.