We have extended the validity of the correlation between the surface 3
d core-level shift (SCLS) and the surface d band shift (SDBS) to the e
ntire 4d transition-metal series and to the neighboring elements Sr an
d Ag via accurate first-principles calculations. We find that the corr
elation is quasilinear and robust with respect to the differencies bot
h between initial- and final-state calculations of the SCLS's and two
distinct measures of the SDBS's. We show that despite the complex spat
ial dependence of the surface-potential shift (SPS) and the location o
f the 3d and 4d orbitals in different regions of space, the correlatio
n exists because the sampling of the SPS by the 3d and 4d orbitals rem
ains similar. We show further that the sign change of the SCLS's acros
s the transition series does indeed arise from the d band-narrowing me
chanism previously proposed, However, while in the heavier transition
metals the predicted increase of d electrons in the surface layer rela
tive to the bulk arises primarily from transfers from s and p states t
o d states within the surface layer, in the lighter transition metals
the predicted decrease of surface d electrons arises primarily from fl
ow out into the vacuum.