Abstract
The effect is investigated of interparticle interaction on the Stoner–Wohlfarth theory of magnetic hysteresis in single-domain particles. A model of interacting, identical, single-domain, ferromagnetic spheres in a three-dimensional rectangular lattice is studied. The anisotropy energy of the spheres is taken to be magnetocrystalline. Under the assumption that the magnetizations on the identical spheres are identical, the magnetostatic lattice interaction energy is calculated exactly in closed form. An exact formula is derived for the critical magnetic field as a function of the packing fraction of the spheres. The formula is also applicable to a lattice of aligned prolate spheroids if the dipole interaction is dominant. It is deduced that the coercive force of a specimen of compacted spherical particles should have no dependence on the packing fraction, while that of a specimen of compacted acicular particles should decrease linearly with increasing packing fraction. The deduction is compared with published experimental data.
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