Using a many-body tight-binding potential within the second moment app
roximation in a quenched molecular dynamics simulation, we calculate t
he internal energy of free Cu, Ag and Au clusters of various sizes and
morphologies. We find that the icosahedral structure, which is the eq
uilibrium shape for small sizes at least for Cu and Ag adopts a very i
nhomogeneous atomic relaxation, More surprisingly, introducing a vacan
cy at the center lowers the mean energy per atom for sufficiently larg
e size icosahedra. This means that above a critical size, which decrea
ses from Cu to Au, the icosahedron admits a constitutional vacancy. Ta
king into account the stability domain of the icosahedron relative to
the fee structure (namely the Wulff polyhedron), we find that there is
a stability range of size for Cu and Ag icosahedra with a central vac
ancy, but not for Au icosahedra This trend along the noble metal colum
n is discussed in view of tight-binding potential parameters. (C) 1997
Elsevier Science B.V.