Date of Original Version
Percus-Yevick and hypernetted-chain models connecting the structure factor S(k) with effective pair potential φ(r) have been studied in detail. Recent neutron-scattering data of Yarnell et al., for liquid argon at 85°K, have been employed to generate these potentials. Using 0.01 uncertainty in the experimental data, the uncertainty in the pair potentials has been computed. Having developed a general method of error propagation analysis, the effect of experimental errors in S(k) on Percus-Yevick and hypernetted-chain potentials is investigated and the resulting potentials are compared with Lennard-Jones and Barker, Fisher, and Watts potentials.
A. Choudry, P. K. Banerjee, and Narinder K. Ailawadi. (1976). "Percus-Yevick and hypernetted-chain approximations." Physical Review A, 14(1), 434. Available at: http://dx.doi.org/10.1103/PhysRevA.14.434