Optical and Magentic Properties of Trivalent Vanadium Complexes

Abstract

An analysis of the optical and magnetic properties of trivalent vanadium complexes is given on the basis of the ligand-field model. The calculation of g values and magnetic susceptibility is outlined, using eigenstates of the "zero magnetic field" Hamiltonian, including trigonal field and spin-orbit terms. This enables the results of magnetic resonance experiments to be interpreted without the use of a spin Hamiltonian, in cases where the optical spectrum has been measured. The example of vanadium corundum is discussed in some detail. The dependence of energy levels on the parameters B, C, Δ, v, v^′, and ζ is used to determine these parameters from the absorption spectrum. Values of the magnetic constants of vanadium corundum are obtained as g_∥= 1.919, g_⊥= 1.719, and D=7.9 cm^-1, in excellent agreement with previous experimental results. The paramagnetic susceptibility is predicted in the range lo-300°K.