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The paper contains the generalization of usual lattice model ofmulticomponent systems. The generalization is related to account the followingfactors: 1. The short-range parts of interatomic repulsions. These repulsionsare not identical for different pairs of atoms, therefore it is impossible totake into account the repulsions by means of usual ideal lattice introduction.2. The long-range interatomic potentials take into account by means ofeffective fields approximation. 3. The presence the interatomic potentialsdepending on some inner degrees of freedoms such as atomic electric and/ormagnetic momentum. The Helmholtz free energy functional in the generalizedlattice model is reduced to the Ginzburg-Landau-Cahn-Hilliard-like (GLCH) form.The connection between the interatomic potentials characteristics and theparameters of the GLCH-like functional is obtained. The equations for both fulland partial equilibrium distributions of the species in multicomponent systemsare derived.

Generalized Lattice Model of Multi-Component Systems with Internal Degrees of Freedom. I. General consideration