Analytical expressions for the fourth virial coefficient of a hard-sphere mixture.
A method of numerical calculation of the fourth virial coefficients of the mixture of additive hard spheres is proposed. The results are compared with an exact analytical formula for the fourth partial virial coefficient B4[1] (i.e., three spheres of diameters sigma1 and one sphere of diameter sigma2) and a semiempirical expression for B4[2] (i.e., two spheres of each kind). It is shown that the first formula is nonanalytic and the implication to the equations of state for hard-sphere mixtures is discussed.
Labík
Stanislav
S
Department of Physical Chemistry, Institute of Chemical Technology, 166 28 Prague 6, Czech Republic. stanislav.labik@vscht.cz
Kolafa
Jirí
J
D000465:Algorithms; D045424:Complex Mixtures / Q000737:chemistry*; D003198:Computer Simulation; D008956:Models, Chemical; D015233:Models, Statistical; D012212:Rheology / Q000379:methods*; D012996:Solutions / Q000737:chemistry*
D045424:Complex Mixtures; D012996:Solutions