Hartree-Fock deformed jellium calculations for metallic clusters

We have developed the Hartree-Fock jellium model for deformed metal cluster s by treating the quantized electron motion in the field of the spheroidal ionic jellium background in the Hartree-Fock approximation. Using this mode l, we have calculated single electron energy levels as a function of the cl uster deformation parameter for a series of sodium clusters with the number of atoms N in a cluster ranging from 4 to 40. We have established that the cluster deformations corresponding to the minimum total energy of the obla te and prolate clusters are in reasonable agreement with the experimental d ata and the predictions of other theoretical models.