Abstract
A detailed theory is developed for the effects of covalency on the magnetic properties of a Co
2+
ion surrounded by a regular octahedron of ligands. In contrast to previous studies of the cobalt ion, the strong-field representation has been used, in which the octahedral field is diagonalized before the electrostatic interactions. Expressions are derived for the orbital contribution to the
g
value, and for the ligand hyperfine interactions, in terms of the ligand wave function admixture coefficients. The theory is applied to the electron spin resonance measurements on a Co
2+
: KMgF
3
crystal. In the usual notation the covalent bonding fractions are
f
σ
= 2.9±1.0%,
f
π
= 1.9∓1.0%,
f
s
= 0.54±0.03%, ½(
f
σ
+
f
π
) = 2.4±0.3%. These results are compared with the results of other authors on different iron group ions.
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