Using semiclassical expressions for eigenphase shifts and bound state energies arising from WKB approximations to the solutions of coupled equations. we show that quantum mechanical formulas for the third virial coefficient (restricted to positive potentials) and for the second virial cofficient (with anisotropic interactions) lead to the known classical results when Ii goes to zero. The proced...

The recently discovered attractive force between hydrophobic surfaces is incorporated in a theory of polyelectrolyte solutions. Ita influence on the second and third virial coefficients is estimated. Binary collisions between two polyions are virtually unaffected by attractive forces of long range whereas the impact on the third virial coefficient is enormous. The theoretical coefficients are c...

We have computed by a Monte Carlo method the fourth virial coefficient of free anyons, as a function of the statistics angle θ. It can be fitted by a four term Fourier series, in which two coefficients are fixed by the known perturbative results at the boson and fermion points. We compute partition functions by means of path integrals, which we represent diagrammatically in such a way that the ...

an analytical equation of state was applied to calculate the thermodynamic properties for argon.the equation of state is that of song and mason. it is based on a statistical-mechanical perturbationtheory of the hard convex bodies and can be written as fifth-order polynomial in the density. thereexist three temperature-dependent parameters: the second virial coefficient, an effective molecularvo...

Second dielectric virial coefficients BZ(T) of the rare gases Ne, Ar, Kr, and Xe are calculated in a broad range of temperature using accurate HFD-type interatomic interaction potentials and available information on the trace of the pair polarizability Aa. It is shown that the experimentally determined temperature-variation of BC(T) cannot be reproduced by existing theories. However, it is obse...

using the gaussian 2003 software and mp2/ 6–311 ++ g** method for he: he, ne:ne andmp2/6-31g method for ar: ar, kr: kr and hf/sto-3g method for xe: xe, the optimizedinteraction energies between two like atoms of rare gases (he, ne, ar, kr and xe) as a functionof the distances between the centers of two considered atoms were evaluated and the resultswere interpreted according to the lennard – jo...