TheL23−M4,5M4,5principal and satellite Auger spectra of Cu, Zn, and Ga

The $L_{23}-M_{4,5}{M}_{4,5}$ principal and satellite Auger spectra are synthesized for atomic Cu and compared to the measurements in solid Cu. It is found that the $L_2-L_3{M}_{4,5}$ Coster-Kronig rate is significantly different in intermediate coupling from its value in $j-j$ coupling. With intermediate coupling and matrix elements obtained with a Cu-ion potential (with an $L$-shell hole), the synthesized satellite spectra do not agree with the Cu measurements, but do agree with the measurements on Zn, when the energy scale is suitably contracted. With $L_2-L_3{M}_{4,5}$ matrix elements obtained with a neutral-atom Cu potential, the synthesized Cu spectra are in quantitative agreement with the measurements. However, in this case the calculated Cu $L_2$ linewidth is significantly larger than the measured values. All the required transition-rate expressions in intermediate coupling are presented.