The second virial coefficients are given as a spherical-core contribution plus a series of nonspherical perturbation terms. A revised analysis is given of the effect of long-range nonspherical terms in the intermolecular potential on the second virial coefficient given by a preferred HFDIDl spherical core treatment of the integration for small intermolecular distances. This effect is consid...

a revised analysis of the effect of long-range nonspherical terms in the intermolecular potential on the second virial coefficient is presented with a preferred hartree-fock-dispersion functional (hfd-c) spherical core treatment of the integrations for small intermolecular distances. a set of modified numerical tables for the accurate calculation of the nonspherical contribution to the second v...

In the last chapter, we have been introduced to the three main ensembles used in statistical mechanics and some examples of calculations of partition functions were also given. In chemistry, we are concerned with a collection of molecules. If the molecules are reasonably far apart as in the case of a dilute gas, we can approximately treat the system as an ideal gas system and ignore the intermo...

Contact mechanics is related to the deformation study of solids that meet each other at one or more points. The physical and mathematical formulation of the problem is established upon the mechanics of materials and continuum mechanics and focuses on computations involving bodies with different characteristics in static or dynamic contact. Contact mechanics gives essential information for the s...

the character of the intermolecular interactions in cl2-hx (x =f, cl and br) complexes has been investigated by means of the second-order möller–plesset perturbation theory (mp2) and the density functional theory (dft) calculations. the results show that there are two types of lowest interaction potential equilibrium structures in the interactions between cl2 and hx: x∙∙∙cl type geometry and hy...

Collagen is a protein material with superior mechanical properties. It consists of collagen fibrils composed of a staggered array of ultra-long tropocollagen (TC) molecules. Theoretical and molecular modeling suggests that this natural design of collagen fibrils maximizes the strength and provides large energy dissipation during deformation, thus creating a tough and robust material. We find th...

the basics of quantum mechanics and statistical thermodynamics were used to predict the potential energy and intermolecular forces of asphaltene molecules. the parameters associated with the chemical structure were also estimated for a specific asphaltene molecule to predict the mie potential function. based on the structural results, a new form of the virial eos with peneloux correction was de...

The clustering of polycyclic aromatic hydrocarbon (PAH) molecules is investigated in the context of soot particle inception and growth using an isotropic potential developed from the benchmark PAHAP potential. This potential is used to estimate equilibrium constants of dimerisation for five representative PAH molecules based on a statistical mechanics model. Molecular dynamics simulations are a...

In the presence of multivalent cations, high molecular weight DNA undergoes a dramatic condensation to a compact, usually highly ordered toroidal structure. This review begins with an overview of DNA condensation: condensing agents, morphology, kinetics, and reversibility, and the minimum size required to form orderly condensates. It then summarizes the statistical mechanics of the collapse of ...