Scaled Particle Theory for Hard Sphere Pairs. II. Numerical Analysis
Swaroop Chatterjee and Pablo G. Debenedetti
Department of Chemical Engineering, Princeton University, Princeton, New Jersey 08544
Frank H. Stillinger
Department of Chemistry, Princeton University, Princeton, New Jersey 08544
(Received 22 August 2006; accepted 4 October 2006; published online 22 November 2006)
J. Chem. Phys. 125, 204505 (2006)
Abstract
We use the extension of scaled particle theory presented in the accompanying paper [F. H. Stillinger et al., J. Chem. Phys. 125, 204504 (2006)] to calculate numerically the pair correlation function of the hard sphere fluid over the density range 0£rs3£0.96. Comparison with computer simulation results reveals that the new theory is able to capture accurately the fluid’s structure across the entire density range examined. The pressure predicted via the virial route is systematically lower than simulation results, while that obtained using the compressibility route is lower than simulation predictions for rs3£0.67 and higher than simulation predictions for rs3³0.67. Numerical predictions are also presented for the surface tension and Tolman length of the hard sphere fluid.