Investigations of the g factors for the trigonal [Ti(H 2O) 6] 3+ clusters in frozen solution from two microscopic spin Hamiltonian methods

Abstract

The spin Hamiltonian parameters (SH) ( g factors g ∥ and g ⊥) for the trigonal [Ti(H 2O) 6] 3+ clusters in the rapidly frozen solutions of Ti 3+ are calculated from the complete diagonalization (of energy matrix) method (CDM, which is established in this paper) and the perturbation theory method (PTM). The two methods are based on the two-spin–orbit-parameter model (where both the contribution due to the spin–orbit (SO) coupling parameter of central 3 d n ion and that of ligand are included) rather than the one-SO-parameter model in the conventional crystal-field theory (where only the contribution due to the SO coupling parameter of 3 d n ion is considered). The calculated results from both methods are not only consistent with the observed values, but also close to each other. This suggests that both methods can be effective in the studies of SH parameters.