On the Superlattice of Binary Alloys with a Large Unit Cell and of Many-Component Alloys. II : On the Superlattice of Many-Component Alloys

Characteristic features of the superlattice formation in many・component alloys may be represented by those of ternary alloys in the usual formal theory. For this reason, general characteristics mainly about ternary alloys were argued here. The arguments were, in many points, similar to those of binary alloys with a large unit cell and the classification of superlattice was. similarly made as before by introducing newly the definition of the distribution type of each sort of atoms. By extending the treatment of binary alloys to fit to ternary. alloys, new feature appeared, which just corresponded to the appearance of the partial differentiation in the mathematical analysis because of many variables unlike the binary case in which only one variable was used. The conditions for the discrimination of the distribution of atoms were also generalized from this point of view and were found to be determined not only by the signs and the relative magnitudes of the interactions between every two constituents, but also by the number of equivalent sublattices and the concentrations of atoms. Stabilization of superlattice due to the splitting of Brillouin zones, which would be more important in many-component alloys than in binary case, was not referred to here.