In an application to the ground and excited states of a Be atom, the ground 1 S energy calculated by UMRSF is slightly reduced by approximately a milli-Hartree compared to its RO counterpart, which can be attributed to the extra variational flexibility of UKS during the orbital optimization step. UMRSF produced state energies of 2.652 eV and 4.668 eV for 3 P x,y and 1 P x,y , respectively. While these are not identical to the 3 P z and 1 P z energies, they are very close, within approximately 0.2 eV, effectively recovering the state degeneracy.