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MOLECULAR SIMULATION STUDIES IN THE SUPERCRITICAL REGION

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MOLECULAR SIMULATION STUDIES IN THE SUPERCRITICAL REGION ( molecular-simulation-studies-insupercritical-region )

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Nmol I1 U   UIJ (5.1) I1 J1 This calculation is known as Naïve Energy Calculation (Sadus, 2007), it is obvious that the “self” interactions do not contribute to the potential energy of the system and we avoid the “double” calculation of the pair interactions. Obviously, the type and nature of the terms in the energy function and the values of the parameters will depend upon the force field that we choose to use. To model intermolecular interactions, we adopt pairwise additive effective potentials of the sort commonly employed in computer simulation. Specifically, the interaction between two molecules I and J is assumed to be given by the sum of site- site terms of the Lennard-Jones plus Coulomb form (5.2)  ij   ij   where εο=8.8541910-12C2N-1m-2 is the dielectric constant of the vacuum, qi is the charge on site i of the molecule I, rij is the distance between sites i and j, and ij and ij are Lennard-Jones interaction parameters between sites i and j located at molecules I and J. Sometimes simulation models involve with united-atom (UA) (Jorgensen et al., 1984) representations wherein multiple atoms are combined into a single interaction site or all-atoms (AA) versions (Jorgensen et al., 1996). For the Lennard-Jones interactions between unlike atoms, the Lorenzt- Berhelot combining rules were used. The Lennard-Jones interactions were calculated using the arithmetic mean of the core diameters and the geometric mean of the well depths. ij i j (5.3) 2  qiqj 4r 12 6 ij  ij   U iI jJ o ij 4ij     r r 74

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