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  • American Institute of Physics (AIP)  (4)
  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 103 (1995), S. 3196-3211 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We have extended the Wertheim integral equation theory to mixtures of hard spheres with two attraction sites in order to model homonuclear hard-sphere chain fluids, and then solved these equations with the polymer-Percus–Yevick closure and the ideal chain approximation to obtain the average intermolecular and overall radial distribution functions. We obtain explicit expressions for the contact values of these distribution functions and a set of one-dimensional integral equations from which the distribution functions can be calculated without iteration or numerical Fourier transformation. We compare the resulting predictions for the distribution functions with Monte Carlo simulation results we report here for five selected binary mixtures. It is found that the accuracy of the prediction of the structure is the best for dimer mixtures and declines with increasing chain length and chain-length asymmetry. For the equation of state, we have extended the dimer version of the thermodynamic perturbation theory to the hard-sphere chain mixture by introducing the dimer mixture as an intermediate reference system. The Helmholtz free energy of chain fluids is then expressed in terms of the free energy of the hard-sphere mixture and the contact values of the correlation functions of monomer and dimer mixtures. We compared with the simulation results, the resulting equation of state is found to be the most accurate among existing theories with a relative average error of 1.79% for 4-mer/8-mer mixtures, which is the worst case studied in this work. © 1995 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 116 (2002), S. 7627-7636 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: In a recent publication [J. Chem. Phys. 113, 5401 (2000)], we investigated the applicability of ab initio pair potentials for acetonitrile and methanol for predicting their phase behavior using Gibbs ensemble Monte Carlo simulations. Here, we extend this study by introducing improvements to the pair interactions to better represent the phase behavior of acetonitrile and methanol. The first adjustment was a scaling of the interaction energies so that the calculated second virial coefficient matches the measured values. Excellent agreement was obtained for the second virial coefficient by scaling of the pair potentials by 1.08 and 1.20 for acetonitrile and methanol, respectively. The predicted phase behavior with these scaled potentials results in a large improvement for methanol, and slightly poorer predictions for acetonitrile. Next, to account for multibody effects, a classical polarizable model was added to the simulations, which showed that multibody interactions do not contribute to the equilibrium properties of acetonitrile, but play an important role in the molecular interactions of methanol. The addition of polarization terms to the simulations for methanol results in vapor pressures in good agreement with experimental values. © 2002 American Institute of Physics.
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  • 3
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 116 (2002), S. 7637-7644 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The comprehensive study of the ab initio pair potentials and prediction of properties for acetonitrile and methanol [J. Chem. Phys. 116, 7627 (2002), preceding paper] is extended to examine the vapor–liquid equilibria of their mixture. An ab initio pair interaction potential is developed for the acetonitrile–methanol interaction consistent with the pure component pair potentials using symmetry-adapted perturbation theory with a double zeta quality basis set including bond functions. Interaction energies were calculated for a large number of configurations to obtain a good representation of the potential energy surface, and employed to develop a site–site pair interaction potential. The ab initio pair potentials for the like and unlike interactions were then used in Gibbs ensemble Monte Carlo simulations to predict the phase behavior of the acetonitrile–methanol mixture. Simulations were performed to determine the phase boundary of the mixture, and although the predicted equilibrium concentrations are not in perfect agreement with experimental measurements, the predicted and measured phase boundaries are similar, including the occurrence of an azeotrope in close agreement with experiment. This prediction of mixture phase behavior is the first reported using ab initio potentials for both like and unlike interactions without the use of any combining rule. © 2002 American Institute of Physics.
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  • 4
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 102 (1995), S. 437-449 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The correlation functions of homonuclear hard-sphere chain fluids are studied using the Wertheim integral equation theory for associating fluids and the Monte Carlo simulation method. The molecular model used in the simulations is the freely jointed hard-sphere chain with spheres that are tangentially connected. In the Wertheim theory, such a chain molecule is described by sticky hard spheres with two independent attraction sites on the surface of each sphere. The OZ-like equation for this associating fluid is analytically solved using the polymer-PY closure and by imposing a single bonding condition. By equating the mean chain length of this associating hard sphere fluid to the fixed length of the hard-sphere chains used in simulation, we find that the correlation functions for the chain fluids are accurately predicted. From the Wertheim theory we also obtain predictions for the overall correlation functions that include intramolecular correlations. In addition, the results for the average intermolecular correlation functions from the Wertheim theory and from the Chiew theory are compared with simulation results, and the differences between these theories are discussed. © 1995 American Institute of Physics.
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