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Two mechanisms are reported for the change in hyperfine field at the site of a magnetic ion brought about by the presence of neighboring magnetic ions: transfer of a $3d$ electron from the neighboring ion to the $4s$ level of ion in question, and orthogonalization of the antibonding orbitals of the surrounding cations to the inner s cores of the magnetic ion. The total s-state admixture from both mechanisms results in an increase in the hyperfine field in a simple cubic antiferromagnet over that found in the dilute salt.
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Huang et al. (1966) studied this question.
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