We exactly calculate the fourth virial coefficient for hard spheres in even dimensions for D = 4, 6, 8, 10, and 12.

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...

In this work an analytical equation of state has been employed to calculate the PVT properties ofternary refrigerant mixtures. The theoretical EoS is that of Ihm, Song and Mason, which is based onstatistical-mechanical perturbation theory, and the two constants are enthalpy of vaporization ΔHvapand molar density ρnb, both at the normal boiling temperature. The following three temperaturedepende...

We calculate the second virial coefficient of anyons whose wave function does not vanish at coincidence points. This kind of anyons appear naturally when one generalizes the hard-core boundary condition according to self-adjoint extension method in quantum mechanics, and also when anyons are treated field theoretically by applying renormalization procedure to nonrelativistic ChernSimons field t...

Knowledge of the pair and three-body potential-energy surfaces of helium is now sufficient to allow calculation of the third density virial coefficient, C(T), with significantly smaller uncertainty than that of existing experimental data. In this work, we employ the best available pair and three-body potentials for helium and calculate C(T) with path-integral Monte Carlo (PIMC) calculations sup...

Protein self-interaction is important in protein crystal growth, solubilization, and aggregation, both in vitro and in vivo, as with protein misfolding diseases, such as Alzheimer's. Although second virial coefficient studies can supply invaluable quantitative information, their emergence as a systematic approach to evaluating protein self-interaction has been slowed by the limitations of tradi...

In this paper we give a method for constructing systematically all simple 2-connected graphs with n vertices from the set of simple 2-connected graphs with n-1 vertices, by means of two operations: subdivision of an edge and addition of a vertex. The motivation of our study comes from the theory of non-ideal gases and, more specifically, from the virial equation of state. It is a known result o...

Many soluble proteins crystallize in conditions where their second virial coefficient takes on slightly negative values, known as the crystallization slot, allowing the possibility to screen for crystallizability by measuring virial coefficients. Here we measure virial coefficients for the membrane protein CLC-ec1, which has been crystallized. These virial coefficients reveal that CLC-ec1 cryst...