Exact local exchange potentials are computed for the diatomic molecules N-2
, O-2, and CO, based on expansions in terms of molecular orbitals. Kohn-Sha
m orbitals and orbital energies are obtained for the exact exchange potenti
als, with correlation effects neglected. The ionization potential is in all
cases found to be accurately predicted by the orbital energy of the highes
t occupied orbital. Limited configuration interaction calculations are perf
ormed based on the Kohn-Sham orbitals, and are found to yield accurate exci
tation energies for a series of singly excited states, in particular for N-
2 and CO. Clearly inferior results are obtained from similar calculations b
y use of Hartree-Fock orbitals. Thus Kohn-Sham orbitals obtained with exact
exchange potentials tend to have an interesting potential as basis for sop
histicated many-body methods. (C) 2001 American Institute of Physics.