Aa. Ovchinnikov et Jk. Labanowski, SIMPLE SPIN CORRECTION OF UNRESTRICTED DENSITY-FUNCTIONAL CALCULATION, Physical review. A, 53(6), 1996, pp. 3946-3952
The unrestricted Hartree-Fock and unrestricted Kohn-Sham calculations
generally result in spin-contaminated solutions. Moreover, the energie
s from these calculations cannot be directly compared with the results
of corresponding restricted calculations since the latter yield highe
r energies due to restrictions imposed on the form of the wave functio
n. We present here a simple method of correcting the mixed spin energi
es resulting from unrestricted Hartree-Fock or density-functional theo
ry calculations and removing the foreign spin components. The method a
llows for elimination of higher-multiplet components from the given mi
xed spin state solution by performing unrestricted calculations at the
same fixed geometry for the higher multiplets and the state under con
sideration. The performance of the method is illustrated with several
examples of density-functional calculations of radical species. The cu
rrent method is also variational in nature and can be further extended
in a self-consistent field fashion.