Prediction of the Small-kBehavior of the Structure Factor (S(k)) for Rubidium and Cesium via a New Model for the Direct Correlation Function and Evaluation of Some Reported Effective Pair Potentials

2004 ◽  
Vol 108 (30) ◽  
pp. 11073-11079 ◽  
Author(s):  
Ezat Keshavarzi ◽  
Mohammad Kamalvand
Keyword(s):  
Correlation Function ◽  
Structure Factor ◽  
Direct Correlation Function ◽  
New Model ◽  
Pair Potentials ◽  
Effective Pair

Density Dependent Potentials in Simple Liquids

1972 ◽  
Vol 50 (20) ◽  
pp. 2461-2463 ◽  
Author(s):  
P. A. Egelstaff ◽  
S. S. Wang
Keyword(s):  
Density Dependence ◽  
Structure Factor ◽  
Liquid Structure ◽  
Real Space ◽  
Wave Number ◽  
Liquid Alkali Metal ◽  
Lennard Jones ◽  
Pair Potentials ◽  
Effective Pair ◽  
Fermi Wave Number

The density dependence of effective pair potentials may be studied through the density dependence of the liquid structure factor. For a liquid alkali metal (Rb) it is suggested that the ρ1/3 behavior of the Fermi wave-number of the electron gas explains the ρ1/3 behavior of the liquid structure factor recently discovered by Egelstaff et al. For the Lennard-Jones fluid and for liquid neon it is suggested that a near ρ-independent potential gives rise to ρ-dependent changes in the liquid structure factor corresponding to changes in the number of nearest neighbors in real space. This suggestion is tested by comparison with experiment.

Structure factor and direct correlation function for a classical hard sphere fluid

1967 ◽  
Vol 297 (1450) ◽  
pp. 336-350 ◽  
Keyword(s):  
Correlation Function ◽  
Structure Factor ◽  
Hard Sphere ◽  
Hard Core ◽  
Liquid Argon ◽  
General Character ◽  
Exact Results ◽  
Direct Correlation Function ◽  
Hard Sphere Fluid

Calculations are reported here of the structure factor S(k) and the direct correlation function C(k) = 1 - S -1 for a classical hard sphere fluid. Exact results are presented to order of the cube in the density ρ and are compared with the results of the various approximate theories, namely the Born-Green, the Percus-Yevick, and the hyperchain. The results have the general character of the observed scattering from liquid argon, though some corrections are required to account for the form of the interaction beyond the hard core.

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