Abstract

Symmetry properties of pairs of identical exchange-coupled ions isolated in a diamagnetic host crystal are studied. Starting from a spin Hamiltonian allowing for exchange interaction, crystal-field and Zeeman splitting, the forms of the various coupling tensors for all possible symmetries are determined. Unitary transformations of the spin Hamiltonian and their influence on the coupling tensors are discussed. Asymmetric exchange-coupling tensors arise only on few occasions. Selection rules for magnetic dipole transitions are given for systems with high symmetry. As an example, magnetic resonances due to Cr 3+ pairs in ruby are considered.

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