We examine first-order perturbative results based on jellium for the surfac
e energy of slabs of simple metals, using various local pseudo-potentials (
Ashcroft, Heine-Abarenkov and evanescent core). The difference between the
pseudo-potential and the jellium potential is averaged along the plane para
llel to the surface. We compare these perturbative results with those of th
e stabilized-jellium model (a modification of the regular jellium model in
which the perturbation appears in the energy functional right from the outs
et) and with the output of other perturbative and non-perturbative calculat
ions. (C) 2001 Elsevier Science Ltd. All rights reserved.