Abstract
The method developed in Part III is applied in the approximation of the “statues of 6 points” to the face-centered cubic lattice gases, of nearest neighbor lattice sites distance a⁄2, composed of particles with hard core of diameter somewhat smaller than a, with and without attractive part. The results obtained are that these lattice gases will exhibit the solid-gas phase transition, while the liquid phase will not appear for systems of particles either with or without attractive interactions. Qualitative discussions are given of the reason why the difference that our lattice gases will not become liquid and the real gas condenses to liquid, arises.