Lennard-Jones-Devonshire equation of state is an old but theoretical based EOS. The concept of the nearest neighboring molecules or coordination number is proposed to be a function of temperature and volume, whereas it is a constant in the original. The dilute gas and hard sphere limits of molecules are employed to determine this function. Improvement of this modification is demonstrated by pro...

using the gaussian 2003 software and mp2 /6 – 311+ g method for the c2h4 : o2, co:cl2 andco2:co2 pairs and mp2/6-311++g** method for the co2:h2o pair and b3lyp/6-31g methodfor the o2:o2 pair the optimized interaction energies between two considered pair molecules ofstudied gases(c2h4:o2, co:cl2, co2:h2o, o2:o2 and co2:co2 pairs) as a function of thedistances between the centers of two considere...

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...

A significant source of error was found in the paper by Zhen and Davies which is highly cited for use calculating Lennard Jones N-M potential parameters. This corrected a new more easily implemented method determining parameters developed. 38 metallic elements were calculated using this addition to Morse 6-12 Molecular dynamics simulations carried out illustrate increased accuracy The predicted...

The virial coefficients can be obtained from statistical mechanics in connection with the intermolecular potentials. The intermolecular potential of polyatomic molecules is usually assumed to consist of a spherically symmetric component plus a contribution due to asphericaity of the molecular charge distribution. In this study, the second virial coefficients have been calculated for N2...

A cluster is a group of identical molecules or atoms loosely bound by inter-atomic forces. The optimal geometry minimizes the potential energy — usually modelled as the Lennard-Jones potential — of the cluster. The minimization of the Lennard-Jones potential is a very difficult global optimization problem with extremely many local minima. In addition to cluster problems, the Lennard-Jones poten...

This article presents the results obtained using an unbiased Population Based Search (PBS) for optimizing Lennard-Jones clusters. PBS is able to repeatedly obtain all putative global minima, for Lennard-Jones clusters in the range 2 < or = N < or = 372, as reported in the Cambridge Cluster Database. The PBS algorithm incorporates and extends key techniques that have been developed in other Lenn...

We characterize the circular periodic solutions of the generalized Lennard–Jones Hamiltonian system with two particles in Rn, and we analyze what of these periodic solutions can be continued to periodic solutions of the anisotropic generalized Lennard–Jones Hamiltonian system. We also characterize the periods of antiperiodic solutions of the generalized Lennard–Jones Hamiltonian system on R2n, ...