Analytical formula for the radial distribution function

The most accurate experimental radial-distribution-function data, obtained by thermal-neutron scattering and x-ray scattering in liquids, have been considered. A number of analytical equations for the radial distribution function $g$ as a function of the interparticle separation $R$ have been studied. The formula for $g\left(R\right)\mathrm{}$ finally chosen gives completely satisfactory agreement with the experimental data, and also with some Monte Carlo simulations and with theoretical predictions of the Percus-Yevick type. It is expected that the same formula will be also applicable to at least some of the diffractometric data for amorphous solids.