A new Kohn-Sham (KS) formalism, the symmetrized generalized adiabatic conne
ction KS formalism, is introduced. It is applicable to ground as well as ex
cited states and does not suffer from the symmetry problems of the standard
KS approach. In all cases a totally symmetric, non-spin-polarized KS Hamil
tonian operator arises. Complete electronic spectra, including multiplet sp
littings, Rydberg series, and x-ray and Auger data can be described. Result
s for the carbon atom and the carbon monoxide molecule are presented.