Abstract
A spin Hamiltonian formalism for effective spin-1 is introduced for the purpose of describing EPR and UPR observations of transitions within a non-Kramers doublet, where the doublet is split in zero applied magnetic field due to perturbations of the crystalline field symmetry by local random strains. To second order in the perturbation due to the strain distributions, an asymmetric line shape is predicted with broadening to lower resonance magnetic field. This compares favorably with the results of experiments. The results of this formalism are compared with the widely used but purely phenomenological effective spin-1/2 formalism for non-Kramers ions, which does not have the proper symmetry under time reversal. The effect of mixing of a low lying singlet state into the states of the doublet, particularly in terms of the predicted line shape characteristics, is presented.
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