Allowed regions of pair correlations and probabilities of multiparticle figures

Allowed regions are determined for pair correlations in A_yB_{1 − y} solid solutions whose atoms are located at the sites of triangular, square, bcc, and fcc lattices. The problem of determining the probabilities of multiparticle figures is analytically solved with the inclusion of pair correlation ɛ in the location of nearest atoms for the A_yB_{1 − y} solid solutions with triangular, square, bcc, and fcc lattices. It is shown that the presence of the correlation in the first coordination sphere of the A_yB_{1 − y} solid solutions with the square and fcc lattices results in the appearance of the short-range order of the opposite sing in the second coordination sphere.