The static electric dipole polarizability of Na-N clusters with even N has
been calculated in a collective, axially averaged and a three-dimensional,
finite-field approach for 2 less than or equal to N less than or equal to 2
0, including the ionic structure of the clusters. The validity of a collect
ive model for the static response of small systems is demonstrated. Our den
sity functional calculations verify the treads and fine structure seen in a
recent experiment. A pseudopotential that reproduces the experimental bulk
bond length and atomic energy levels leads to a substantial increase in th
e calculated polarizabilities. in better agreement with experiment. We rela
te remaining differences in the magnitude of the theoretical and experiment
al polarizabilities to the finite temperature present in the experiments.