Critical fluid density obtained from the theory of generalized charges in accordance with the hypothesis on the first coordination number

Abstract

In this article, a model of hard spheres for critical fluid, based on the hypothesis on the coordination number of molecules in minimally bound infinite clusters, is considered. Variants of homogeneous (quasi-crystalline lattice) and heterogeneous (“Cayley tree forest”) molecular packings at the vertices of a uniform graph of order 3 are described. Using the theory of generalized charges and taking into account the found structures, the dependences of the critical molar volume on electronic structure parameters, which have the character of non-empirical laws, are derived. A priori calculations of molar volumes by the critical state model are in good agreement with the reference data for simple gases and linear hydrocarbons.