Tetrahedral-Chain-Cluster Model for Thermodynamic Description of Fluids

The topological structure of density fluctuations of the condensed matter in different aggregative states (liquid, crystal, and amorphous body) is represented as instant densely packed fours of atoms as tetrahedrons connected in pairs by faces in Bernal’s n-chains. Tetrahedral clusters of the dense part of the matter are investigated within the framework of matrix algebra: the “genetic” structure of Bernal’s n-chains is decoded; for calculating the partition function and configuration entropy of the isotropic matter, the number of distinguishable tetrahedral chains is determined as a function of the number of tetrahedrons in them.