C. Martin et al., HYPERNETTED AND REFERENCE HYPERNETTED CHAIN INTEGRAL-EQUATIONS FOR LENNARD-JONES DIATOMIC FLUIDS WITH QUADRUPOLAR INTERACTIONS, The Journal of chemical physics, 98(8), 1993, pp. 6465-6471
The hypernetted chain and reference hypernetted chain integral equatio
ns are solved for quadrupolar two-center Lennard-Jones fluids and the
computed fluid structure and thermodynamics are contrasted with comput
er simulation. A reference bridge function is determined through an em
pirical modification of Verlet's approximation. The resulting referenc
e hypernetted chain equation leads to good agreement with simulation d
ata. On the contrary, the bare hypernetted chain approximation perform
s poorly, in particular as far as the equation of state is concerned,
which is a well-known drawback of this closure when short ranged repul
sive potentials come into play.