Abstract
An attempt is made to investigate the internal consistency of the Heisenberg-Dirac model for antiferromagnets with nearest-neighbor interactions only. The Bethe-Peierls-Weiss approximation and the results of Brown and Luttinger are used to obtain relations between the Néel temperature and the exchange integral, J, and between the susceptibility at the Néel temperature and J. By combining these relations with experimental values of T N and X( T N ) for a given compound, two distinct values of J can be deduced. These values should agree if the theory is internally consistent. Comparisons have been made with experimental data on six antiferromagnetic compounds which seem to satisfy the nearest-neighbors-only restriction. The agreement is about as good as could be expected, considering the estimated experimental error. Approximate values of ¦ J¦/ k deduced for the compounds MnF 2, FeF 2, LaFeO 3, LaCrO 3, KFeF 3 and KCoF 3 are 1.8, 3.0, 27, 28, 6.0 and 12°K, respectively.
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