The Allowed and Forbidden Transitions in the Paramagnetic Resonance of the Manganese Ion in Trigonal Sites in Apatite and Smithsonite

Abstract

The allowed and forbidden paramagnetic resonance transitions of MnH ions in single crystals of apatite [CalO(PO.). (F, CI)] and smithsonite [ZnCO.] have been investigated. The spin Hamiltonian parameters, describing the spectra observedat 300oK, were found from a third-order perturbation-theory estimate of the eigenvalues, calculated for the cases in which the magnetic field was parallel and perpendicular to the trigonal axis. Since in the case of apatite the D term was not very small compared with the Zeeman term, it had to be included also in the zeroth-order Hamiltonian.