Towards a theory of self-compressed metallic clusters. Model of stabilized jellium

In the framework of density-functional-theory the ionization potential and attachment energies to neutral large metallic clusters are considered. Using the elastic stabilized jellium model and the local-density approximation we introduce the clusters, shrinkage as a result of action of surface forces. Using inverse radius expansion, a “planar-spherical” same-rule is obtained. From the condition of mechanical equilibrium an exact analytical expression for the first size correction to the electron chemical potential is derived