“…The CLS can then be readily calculated from the differences in the so-called generalized thermodynamic chemical potentials [16], which in turn are determined from total energies of the systems -where core electrons on the ionized atoms are promoted to the valence band, while the remaining electrons relax as they screen the core hole. First principles calculations within the complete screening picture have been successfully used in many different studies, ranging from the bulk core-level shift in disordered alloys [16][17][18], the disorder broadening of the spectral core-line in random phase alloys [19,20], surface core-level shifts [21][22][23], structural characterizations in different materials [24][25][26][27], and Auger kinetic energy shifts [28]. It was found that the transition state method, which also accounts for both initial and final state effects within a single framework without the necessity to separate them, though using one-electron eigenstates rather than total energies, gives similar results in several disordered alloys [18,29].…”