ATOMIC ENERGIES FROM RENORMALIZATION OF THE LARGE-DIMENSION LIMIT

By augmenting Hartree-Fock (HF) results for nonrelativistic ground-sta te energies of N-electron atoms by analytic expressions for the D-->in finity limit derived by Loeser, we obtain a simple renormalization pro cedure which substantially enhances accuracy. A renormalized nuclear c harge, Z(infinity), is found which renders the dimensionally scaled en ergy at D-->infinity a good approximation to that for D = 3 with the a ctual Z. The renormalized charge is readily evaluated by comparing the HF energy (or any other input approximation) with its D-->infinity li mit. For atoms with any N or Z, the computations are elementary, requi ring little more than solution of a quartic equation. With only HF inp ut in addition to the D-->infinity limit, the renormalization procedur e yields about 2/3 or more of the correlation energy, for neutral atom s with N=Z = 2-->86. Further improvements in the method seem feasible, but will require better means to incorporate shell-structure in the l arge-D limit.