ELECTRONIC-STRUCTURE AND ADIABATIC OSCILLATIONS OF METAL-CLUSTERS

The electronic structure of metal clusters is analyzed as a function o f geometric parameters. The Hartree-Fock approximation is used to calc ulate the electron energies and wave functions as a function of the ra dius of the cluster core, R. New equilibrium values of R are derived f or clusters with various numbers of atoms N. A collective motion of a new type is predicted and studied: adiabatic oscillations of the space charge density of the cluster core or (equivalently) of the effective core radius R. The frequencies and amplitudes of these parametric osc illations are calculated for clusters with various values of N.