But while the spin densities of such sDFT calculations often have all the desired features, the magnetic exchange coupling constants that can be extracted based on a brokensymmetry-like treatment from the energy difference of a high-spin and a broken-symmetry occupation pattern turned out to be disappointing when standard NAKE approximations are used. For proper energetics and exchange couplings, techniques of potential reconstruction can be applied, which give access to a set of supersystem orbitals and the corresponding accurate non-additive kinetic energy . In subsequent work, it was confirmed that the essential ingredient to get at least semi-quantitative exchange couplings is in fact the evaluation of the non-additive kinetic energy based on a set of orthogonal orbitals characterizing the supersystem . In that study, these orbital sets were constructed by simple combination and mutual orthogonalization of the subsystem orbitals in a pragmatic approach. While this brings the exchange couplings into the right order of magnitude, it at the same time also introduces an undesirable basis-set dependence.