The so called fundamental theorem of W.F. Brown (1988) on spherical particles, which has recently been generalized to prolate spheroids, is extended to right circular finite cylinders. It is rigorously proved that for a cylinder with a radius R, the lowest free-energy state is that of uniform magnetization if R>R/sub c0/, and an expression is given for the latter. For nonacicular cylinders, the result is rather close to that for an ellipsoid, but the difference between a cylinder and an ellipsoid is large when the cylinder is acicular.
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机译：所谓的W.F.基本定理Brown（1988）关于球形粒子的研究，最近被推广为扁长椭球体，并扩展到了右圆形有限圆柱体。严格证明，对于半径为R的圆柱体，如果R> R / sub c0 /，则最低的自由能态为均匀磁化状态，并给出表达式。对于非针状圆柱体，结果与椭圆体相当接近，但是当圆柱体为针状体时，圆柱体和椭圆体之间的差异很大。
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