TheoreticalL2- andL3-Subshell Fluorescence Yields andL2−L3XCoster-Kronig Transition Probabilities

Abstract

${L}_{2}$-subshell fluorescence yields ${\ensuremath{\omega}}_{2}$ and ${L}_{2}\ensuremath{-}{L}_{3}X$ Coster-Kronig transition probabilities ${f}_{23}$ have been calculated for 21 elements with atomic numbers $26<~Z<~93$, and ${L}_{3}$ fluorescence yields ${\ensuremath{\omega}}_{3}$ were computed for 14 atoms with $26<~Z<~85$. Radiationless transition probabilities were calculated in $j\ensuremath{-}j$ coupling from screened nonrelativistic hydrogenic wave functions. All contributing Auger matrix elements including states through $4{f}_{\frac{7}{2}}$ were included. The theoretical Auger widths were combined with Scofield's x-ray emission rates to derive fluorescence yields. Results from ${\ensuremath{\omega}}_{2}$ and ${\ensuremath{\omega}}_{3}$ 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 \ensuremath{\sim}35% from measured values of ${f}_{23}$. No explanation for this discrepancy has been found.