These become degenerate in the dissociation limit, and it is now clear how spin-contamination arises beyond the Coulson-Fischer point. In the multi-determinant representation, the UHF spin states can be seen to capture intra-pair correlations to some extent. As a lone θ 1,-1 2,1 or θ 1,1 2,1 geminal would not describe the singlet configuration of correct N α /N β , the introduction of a broken Ŝz does not introduce instabilities for two electrons, and thus GHF does not offer more correlation than UHF.