The ionic structure of liquid alkali metals at their melting point is
investigated with molecular dynamics, an optimized random phase approx
imation (ORPA), and a soft-core mean-spherical approximation (SMSA) as
representative of, respectively, simulation, perturbation, and integr
al methods. The valence electron screening densities and the interioni
c pair potentials are derived from Shaw's optimized model of potential
and are free of adjustable parameter. We take advantage of the centra
l place of molecular dynamics to analyze the results and point out tha
t the interionic potentials issued from Shaw's potential provide a cor
rect description of the interactions in the whole set of alkali metals
. By comparing simulation results to ORPA and SMSA predictions, it app
ears that the use of the last two methods has to be restricted to flui
ds with packing fractions of less than about 0.55. The results of the
analytical methods are in rather good agreement with simulation and ex
perimental data, except with lithium that turns out to have a remarkab
ly high packing fraction. Taking advantage of the calculation of the s
tructure and the screening charge, the electron-ion pair distribution
functions are investigated and features characteristic of alkali metal
s are observed.