K−L LAuger Transition Probabilities for Elements with Low and Intermediate Atomic Numbers

Radiationless $K-L L$ transition probabilities have been calculated nonrelativistically in $j-j$ coupling and in intermediate coupling, without and with configuration interaction, for elements with atomic numbers $13\le Z\le 47$. The system is treated as a coupled two-hole configuration. The single-particle radial wave functions required in the calculation of radial matrix elements, and in the calculation of mixing coefficients in the intermediate-coupling scheme, were obtained from Green's atomic independent-particle model. Comparison with previous theoretical work and with experimental data is made. The effects of intermediate coupling, configuration interaction, and relativity are noted. Agreement of the calculated $Z$ dependence of $K-L L$ relative intensities with experiment has been somewhat improved.