Abstract
Abstract Modifying a general theory of antiferromagnetism proposed by Oguchi, the parallel and perpendicular magnetic susceptibilities (χ⁄⁄ and χ⊥ respectively) of antiferromagnetically interacting spin-pair systems have been formulated. As the parameter of the equations, κ=z|J′|⁄|J| , approaches zero, both of them coincide with a familiar equation of isolated spin-pairs. In the 0<κ≤1 range the maximum susceptibility and the Weiss constant are compared with those estimated exactly by the alternating antiferromagnetic linear-chain model. For 1<κ≤2, they can be characterized by a broad maximum and a transition to the antiferromagnetically ordered state. For κ>2, χ⁄⁄ in and χ⊥ show curves similar to those of a typical three-dimensional antiferromagnet. The χ⁄⁄a and χ⊥a 2,2-diphenyl-1-picrylhydrazyl–benzene (1:1) complex have been examined based on the theoretical results for κ=1.3. The magnetic susceptibilities of the other organic free radicals have been compared with the results calculated in the 0≤κ<1 range.
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