ABSTRACT:This report contains a generalization of the usual lattice model of multicomponent systems. The generalization allows us to take into account the following factors: (i) the short-range parts of interatomic repulsions; which are not identical for different pairs of atoms (therefore, it is impossible to take into account the repulsions by means of usual ideal lattice introduction); (ii) the long-range interatomic potentials are taken into account by means of effective fields approximation; (iii) the existence of the vacancies as one of the components in the system; (iv) the existence of comparatively stable multi-atomic complexes; and (v) some other factors due to specifics of constituents and their interactions, such as variable valence states and chemical reactions.