The surface core-level shift (SCLS) for a number of smooth surfaces of
4d-transition metals Mo, Rh, Pd and Ag was calculated within two diff
erent approaches using the full-potential LMTO method. The first appro
ach, the initial state approximation, estimates the SCLS from the posi
tion of the core eigenvalues of atoms at the surface relative to those
of the bulk. The second approach treats a surface or bulk atom with a
core hole as an impurity by means of a supercell. This approach is in
principle exact within the local-density approximation and thus inclu
des final-state screening effects. The results show that the screening
of the core hole is of different nature for Ag when compared to the t
ransition metals.