An optimized parameter-free jellium model is proposed for polyatomic c
lusters. This model leads to an absolute minimum of the total energy o
f a system consisting of delocalized electrons and a positive core. A
double-variation method is used to determine the optimum distribution
of the charge density of the cluster core and the electronic structure
. The total energy of the cluster reaches a minimum under the conditio
n of local electrical neutrality. Numerical calculations have been car
ried out on the electronic structure in the Hartree-Fock approximation
with various numbers of atoms. The electron system, with a shell stru
cture, has a strong effect on the charge distribution of the positive
background. Basic physical characteristics of the metal clusters calcu
lated from this model are compared with experimental data and with the
results of other calculations. (C) 1994 American Institute of Physics
.