SUM-RULES FOR THE PLANAR SURFACE OF STABILIZED JELLIUM

The Hellmann-Feynman sum rules for the planar surface of s-p-bonded me tals modeled by a half-space-stabilized jellium are presented and nume rically tested. They relate density derivatives of the (stabilized) bu lk and surface energies to moments of the electric field appearing in the metal region, to the number of electrons spilled out into the vacu um region, and to the electronic density at the surface.