Mimicking the two-dimensional spectrochemical series using density functional computations

With tetragonal distortions of tetrahedral d(2) Complexes as examples, nonadditive and additive ligand fields are compared computationally, using Kohn-Sham density functional theory (KS-DFT) and ligand-field theory to obtain 45 linear, parametrical equations. For each complex, a "data" reduction from three nonadditive-field parameters to two parameters of the additive field occurs. The complexes VX4 and CrX4 (where X = F, Cl, Br, I) provide the two-dimensional spectrochemical series of the sigma and pi AOM parameters, which are known semiempirically for the halide ligands. The same parametrical results can be obtained from the Kohn-Sham orbital energies of the "average of configuration" computation.