An interaction potential at different orientation for the CH4 and CO2 complex was derived at theB3LYP level of theory and 6-31+G* basis sets. The potential energy surface was computed on somemolecular geometries. The complete basis set limit of the interaction energies were fitted to wellknownanalytical functions. To determine the second virial coefficients B, U(r) is used to obtain themodel’s ...

We carry out Monte Carlo simulations of physical Lennard-Jones and water clusters and show that the number of physical clusters in vapor is directly related to the virial equation of state. This relation holds at temperatures clearly below the critical temperatures, in other words, as long as the cluster-cluster interactions can be neglected--a typical assumption used in theories of nucleation....

George and Wilson [Acta. Cryst. D 50, 361 (1994)] looked at the distribution of values of the second virial coefficient of globular proteins, under the conditions at which they crystallise. They found the values to lie within a fairly narrow range. We have defined a simple model of a generic globular protein. We then generate a set of proteins by picking values for the parameters of the model f...

Recently reported virial coefficients for the Lennard-Jones model are extrapolated to very high order, and the results are used to study the behavior of virial equation of state (VEOS). Convergence of the VEOS is examined in the context of gas-phase metastability and condensation. Comparison to molecular simulation data shows that the VEOS can accurately describe the equation of state over much...

Virial coefficients B(n) of three-dimensional hard spheres are reported for n=5 to 11, with precision exceeding that presently available in the literature. Calculations are performed using the recursive method due to Wheatley, and a binning approach is proposed to allow more flexibility in where computational effort is directed in the calculations. We highlight the difficulty as a general measu...

In this paper, we calculate the second virial coefficient for binary mixtures of Ar with CH4 and CO in order to evaluate the performance of equations of state (EOSs). The investigated EOSs are van der Waals (vdW), Redlich-Kwong (RK), Peng-Robinson (PR), Carnahan-Starling–van der Waals (CS-vdW) and Guggenheim-van der Waals (G-vdW) based on van der Waals model. In our work, we also use Dieterici ...

We calculated virial coefficients BN, 8 ≤ N ≤ 16, of the Lennard-Jones (LJ) model using both the Mayer-sampling Monte Carlo method and direct generation of configurations, with Wheatley's algorithm for summation of clusters. For N = 8, 24 values are reported, and for N = 9, 12 values are reported, both for temperatures T in the range 0.6 ≤ T ≤ 40.0 (in LJ units). For each N in 10 ≤ N ≤ 16, one ...

The statistical thermodynamics of dilute polymer solutions is reviewed from the point of view of the continuum theory based on molecular distribution functions. The comparatively rigorous perturbation treatment of the second and third virial coefficients, and various approximate theories derived from it to give closed-form expressions useful for good-solvent systems. are outlined. Indications f...