Next, we would like to take the SO-matrix elements (to keep our focus on the unrestricted case), of the previous section, and transform these into the CI-basis. This transformation needs to take into account the structure of the determinants. The structure of the determinants probes for nontrivial elements as suggested by the Slater-Condon rules, which probe the connectivity of the determinant space. In particular the 1-differences and 2-differences of the determinants. The Slater-Condon rules are entirely independent of the molecule involved, they only depend on the number of electrons and the basis space.