The multiplet structure of core $2p$ -vacancy levels for 36 ions belonging to $3d$ transition metals have been calculated and their plots presented. Only the ground-state configuration $2p^{5}3d^n$ ($n=1,\dots ,9\mathrm{}$) is considered for each ion. The spin-orbit interaction has been incorporated exactly, but the crystal-field effect is ignored. While there is general agreement with the available experimental works, higher-energy resolution in x-ray-photoelectron measurements is necessary for detailed comparison of the spectra presented here. On the theoretical side inclusion of crystal field appears to be important. One should go beyond single-configuration approximation to have the observed satellite structure in $2p$ -x-ray-photoelectron spectra appear in the calculations.

• Received 6 January 1975

DOI:https://doi.org/10.1103/PhysRevB.12.15