Abstract
A simple statistical model of ferrimagnetism is investigated based upon the results of the theory of crystal statistics. It is generally composed of three kinds of Ising spins, of which one forms a plane square lattice and the other two occupy the midpoints of each of the bonds in this plane square lattice. The complete spin arrangement makes up a decorated plane square lattice, in which there exists an antiferromagnetic exchange coupling between every pair of nearest neighbouring spins. Syozi and Nakano investigated ten years ago similar kinds of Ising spin models, which were, however, simpler than the present model. The temperature dependence of the spontaneous magnetization of such a ferrimagnetic Ising model is investi gated using the Onsager-Yang theory of crystal statistics. In addition to the features found by Syozi and Nakano, there appear some other features of this dependence which are not seen in the case investigated by them. The probability that two nearest neighbouring points of the lattice which consists of every midpoint are occupied by a pair of similar atoms and of dissimilar atoms is also investigated.
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