Influence of the Ligand on the Coupling between the Metal-Based Electrons in Face-Shared [M2X9]^3- (M = Mo, W; X = F, Cl, Br, I) Systems

Orbital overlap and spin polarization effects in Mo and W [M2X9]^3- halide and in [M2Xʹ3Xʹ ʹ6]^3- mixed-halide systems have been investigated by means of density-functional calculations performed on the S = 0, S = 3, and reference states of these species. For the regular [M2X9]^3- systems, a strong linear correlation between the two factors has been obtained, and decreasing trends in both the overlap energy and the spin polarization energy upon descending the halide group have been observed. These trends can be related to the changes in the size and covalency of the ligands and in the nature of the metal-bridge interaction. For the mixed-ligand [M2Xʹ3Xʹ ʹ6]^3- systems, important deviations (from the behavior of the regular systems), which are apparently the result of particular structural and energetic characteristics, have been observed.