Energy levels and g values of vanadium corundum

The trigonal field and spin-orbit interaction matrices for the d ² configuration have been calculated in the 'strong field' scheme, using the irreducible tensor operators of the site symmetry group. These matrices were used to calculate the energy levels of V³⁺ ion in a alpha -Al₂O₃ (corundum) in the intermediate coupling scheme. The effective Hamiltonian appropriate to the T₁ manifold was used to calculate the value of g/sub /// and g_{perpendicular to}. Analytical expressions for the trigonal field splitting of the t ²₂³T₁ term, the ground state ³A₂ splitting under the combined effect of the trigonal field and the spin-orbit interaction, g/sub /// and g_{perpendicular to} have been obtained.