Journal of Physical Chemistry A, Vol.106, No.25, 6161-6166, 2002
Ferromagnetic coupling behavior in oxo-bridged binuclear bis(eta(5)-cyclopentadienyl)titanium(III) complex (Cp2Ti)2(mu-O): A density functional theory combined with broken-symmetry approach
The ferromagnetic coupling behavior in oxo-bridged bis(bis(cyclopentadienyl)titanium(Ill)) complex (Cp2Ti)(2)-(mu-O) is investigated on the basis of calculations of density functional theory combined with the broken-symmetry approach. The magnetic coupling constants calculated for the experimental and optimized geometries are 11.41 and 1.29 cm(-1), respectively, comparable with the experimentally measured J value (8.3 cm-1). The calculated results show that the magnetic coupling constant J slightly decreases with the increase of the Ti-(mu-O)-Ti angle and decreases exponentially with the increase of the Ti-(mu-O) distance. In variation of the dihedral angle 13 between the two CP2Ti fragments the transition of the magnetic coupling property occurs near beta = 45degrees. For beta > 45degrees, the coupling is ferromagnetic, and it is antiferromagnetic for beta < 45degrees. The ferromagnetic coupling interaction between the magnetic centers is almost not affected by the protonation of the oxo-bridge ligand. Molecular orbital analysis reveals that, because of the nonbonding character and electronic location character of the single-occupied molecular orbitals (SOMO), there is no antiferromagnetic coupling pathway through superexchange via the bridging atom. However, when beta varies from 90degrees to 0degrees, the through-space interaction between the two magnetic centers in the SOMOs occurs, leading to a gradually increscent antiferromagnetic contribution, J(AF). As soon as the antiferromagnetic contribution exceeds the ferromagnetic contribution, J(F), the transition of the magnetic coupling properties for the molecule occurs. The spin population analysis is briefly discussed.