Abstract
Since the electronic structures of various materials will drastically be changed by high compression, the so-called two-species model'> seems a reasonable one in explaining several striking phenomena observed at intermediate pressures, such as the appearance of the melting temperature maxima.2> However, we feel a need to develop the two-species model in at least two ways. One is to establish its microscopic basis. The other is to extract the the essence of this model to construct an idealized .one so that one may solve it with great accuracy. For the latter purpose, we have previously considered a modeJS> in which every atom (assumed spherical) can take the two states each of which is distinguished from another in atomic size and in energy. The special case in which the interatomic force is described by the hard core plus the infinitely long range attractive Kac potential will be of particular interest. Then we found in Ref. 4) that the problem is solved in the onedimensional case. In the present letter, the results from the further calculations including the three-dimensional case will be given. The Hamiltonian is
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