Restricted Open-Shell Kohn-Sham Theory IV: Expressions for N Unpaired Electrons

We present an energy expression for restricted open-shell Kohn-Sham theory for N unpaired electrons and single-electron operators for all multiplets formed from up to five unpaired electrons. It is shown that it is possible to derive an explicit energy expression for all low-spin multiplets of systems that exhibit neither radial nor cylindrical symmetry.