The Generalized Similarity Laws and Isocontours in the Thermodynamics of Simple Liquids

Parameters of the Liquid–Gas-State Triangle for Hard-Core Attractive Yukawa Fluids

“…The concept of triangle of the liquid–gas states appears to be very fruitful for the formulation of the extended principle of corresponding states (PCS), for example, to locate extremely high-temperature critical points. − It vividly represents approximate linear empirical relations like the law of rectilinear diameter for the density binodal and the unit compressibility line linearity, the so-called Zeno-line which in virial approximation for () leads to The parameters n B and T B are as follows − Surprisingly, relations () and () were fulfilled with rather good accuracy in the wide-temperature interval from the Boyle temperature T B up to that of the triple point T tr . − For the van der Waals equation of state (vdW EoS) Equations and give T B = a / b , ρ B = 1/ b . Here, b = 2π σ 3 /3 is the quadruple of hard-core volume of a molecule and a is the parameter related to the attractive part of the interaction potential Note that the density diameter for the vdW EoS is not exactly straight but has a small curvature .…”