Influence of quantum effect on deviation from linear isotherm regularity

A general regularity was found based on an effective pair potential of lennard-jones lj (12, 6),for both dense, nonmetallic and nonionic fluids and solids according to which .z??1/v2 linearly varies withrespect to 2 for each isotherm, and this equation of state (eos i) is known as lir. however, despite thefact that ne is a simple spherical species, unexpectedly, its solid and liquid phases both show a significantdeviation from eos i. in this work, we have investigated the accuracy of the eos i for other systems,including quantum light molecules, such as d2, h2 and he, in both fluid and solid states at differenttemperatures. like ne, we have noticed that these systems do not well obey the eos i. then, using asimple van der waals equation, it is shown that significant deviations in dense systems of light moleculesare because of the unbalance between repulsive and attractive interactions, due to the importance of thequantum effect. also, we notice that at higher temperatures and for heavier species, lir is valid due to adecrease in the quantum effect. we have shown that the hard-sphere fluid remarkably deviates from lir.two other eoss have also been examined.