Abstract
Mayer's cluster method is developed in the crystal statistics analogously with the one in imperfect gases. The discussion is confined to the problem for the two cases, one for the two phase separation and another for the order-disorder transition. These Problems are treated just as the one for one-component imperfect gases, and the order parameters in binary crystal are calculated in the same way as is used to obtain the radial distribution functions in imperfect gases by Montroll and Mayer. By means of the chain approximation, the expression for the pair distribution function is obtained in the closed form which is somewhat like Zernike's formula. And the transition temperatures are identified with the temperatures at Which singular Points of the distribution function begin to appear. It seems, however, that the results are not better than tbose obtained from Bethe's approximation.
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