Mixture Rules for the Mie (n, 6) Intermolecular Pair Potential and the Dymond–Alder Pair Potential
- 1 May 1971
- journal article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 54 (9) , 3733-3738
- https://doi.org/10.1063/1.1675422
Abstract
Formulas for the unlike‐pair parameters in terms of the like‐pair parameters for the Mie ( , 6) potential energy model are examined for their abilities to predict cross‐term second virial coefficients. Formulas based on the London dispersion formula and an assumption of geometric mean repulsion energies are tested and shown to apply only for special cases. A geometric mean rule for each one of the parameters including the repulsion exponent, , is shown to have far more general applicability and to give high accuracy in predicting the cross‐term second virial coefficient. Potential energy parameters for several molecules are obtained using corresponding states relationships and the Dymond and Alder numerical potential energy function for argon. The geometric mean rule for the energy and distance parameter is shown to perform well for predicting the cross‐term second virial coefficient for mixtures of molecules which obey the Dymond and Alder potential energy function.
Keywords
This publication has 10 references indexed in Scilit:
- New Combining Rule for Intermolecular Distances in Intermolecular Potential FunctionsThe Journal of Chemical Physics, 1970
- Note on optimum parameters for the generalized Lennard-Jones intermolecular potentialThe Journal of Physical Chemistry, 1970
- Pair Potential for ArgonThe Journal of Chemical Physics, 1969
- Molecular Thermodynamics of Simple Liquids. MixturesIndustrial & Engineering Chemistry Fundamentals, 1967
- Determination of Intermolecular Potential Functions From Macroscopic Measurements.Journal of Research of the National Bureau of Standards Section A: Physics and Chemistry, 1966
- A Method for Minimizing a Sum of Squares of Non-Linear Functions Without Calculating DerivativesThe Computer Journal, 1965
- Intermolecular Potential Functions and the Second and Third Virial CoefficientsThe Journal of Chemical Physics, 1964
- Repulsive Interaction Potentials between Rare-Gas Atoms. Heteronuclear Two-Center SystemsPhysical Review B, 1964
- Scattering of High-Velocity Neutral Particles. IV. He–A; A–HeThe Journal of Chemical Physics, 1954
- Zur Theorie und Systematik der Molekularkr fteThe European Physical Journal A, 1930