Abstract
A formula is derived for the second-order spin-orbit coupling correction to the $g$ value of a paramagnetic ion. The case considered is that of an ion whose orbital moment is quenched by the electrostatic field of an ionic-crystal host so that an orbitally nondegenerate spin multiplet forms the ground state. The results are applied to the case of ${\mathrm{Ni}}^{+}$ in LiF and NaF.
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