A new local pseudopotential, called the ''evanescent core'' pseudopote
ntial, has recently been proposed for sp-bonded metals. It is fitted t
o dominant density parameters of the solid state (valence, average equ
ilibrium valence electron density, and interstitial valence electron d
ensity), and it yields an overall good description of physical propert
ies such as binding energies and bulk moduli, in the framework of seco
nd-order perturbation theory. The potential, therefore, takes into acc
ount the atomic structure of the metal beyond the stabilized jellium m
odel or structureless pseudopotential model. We present applications o
f the pseudopotential to surfaces and clusters of Na, Mg and Al, speci
fically: (i) Band-structure effects on surface tension and work functi
ons; (ii) Cohesive energies and optimized structures of small clusters
with two and six atoms (the latter with octahedral symmetry). The res
ults are compared with those of the stabilized jellium model.