Christian Anthon | PubMed Health

PubMed2004

Mimicking the two-dimensional spectrochemical series using density functional computations.

With tetragonal distortions of tetrahedral d2 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 V 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.

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PubMed2003

An average-of-configuration method for using Kohn-Sham density functional theory in modeling ligand-field theory.

The Amsterdam Density Functional (ADF) package has been used to constrain Kohn-Sham DFT in such a fashion that a transition from KS-DFT to ligand-field theory in the form of the parametrical d(q)() model is completely well-defined. A relationship is established between the strong-field approximation of the parametrical d(2) model for the tetrahedral complexes VCl(4)(-) and VBr(4)(-) and certain fixed-orbital ADF-computed energies. In this way values for all the parameters of the d(2)() model may be computed, thus allowing the ADF results to be expressed in terms of a KS-DFT energy matrix that can be diagonalized. This means that the KS-DFT deficiency with regard to computation of nondiagonal elements has been overcome and the KS-DFT eigenenergies have become available through the KS-DFT mimicking of the ligand-field plus repulsion model. By using mutually orthogonal strong-field energy matrices, the mimicking has been further elucidated. The computed values for the empirical parameters of VCl(4)(-) and VBr(4)(-) are in good agreement with experimental data. The spectrochemical and the nephelauxetic series have been computed by including the remaining halide complexes and the quantitatively special position of F(-)() among the halides corroborated for both series.

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