Hard and Soft - Core Equations of State for Simple Fluids: VI. General Theory of Termination Temperatures,and a Validity Criterion for the Second Virial Coefficient

Abstract

A general proof is given that the classical second virial coefficient satisfies the requirement for the non-existence of a termination point of any locus of C_v extrema. This validity criterion is applied to some proposed forms for the second virial coefficient. The order of the termination temperatures is verified for a fairly general intermolecular potential. In particular a proof is given that T_F lies between T_C and T_A. Also the hard-core limit of the ratio T_D/T_A(～2) is examined briefly.