Percus-Yevick and Hypernetted-Chain Approximations
©1976 The American Physical Society
Abstract
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.
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