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A Closed Form for the Second Virial Coefficient Using the Modified Buckingham Potential

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Abstract

A closed form for the second virial coefficient is obtained using the Buckingham (exp–6) potential. Previous works have successfully reached closed forms for the using intermolecular potentials with repulsive parts proportional to 1/r n . Computations have reached values for the second virial coefficient with exponential repulsive potential parts whereas mathematical analysis has failed. In the present work, the mathematical methods adopted have lead to a solution for the second virial coefficient integral in terms of summations of the Whittaker's functions. A comparison was held between results obtained by our form and those obtained by experiment. Potential parameters that minimize this difference are deduced by a computer minimization program.

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Authors and Affiliations

  1. Faculty of Engineering, Engineering Physics & Mathematics Dept., Cairo University, Egypt

    S. F. Ragab, A. A. Helmy, T. L. Hassanein & M. A. El-Naggar

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  1. S. F. Ragab
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  2. A. A. Helmy
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  3. T. L. Hassanein
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  4. M. A. El-Naggar
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Ragab, S.F., Helmy, A.A., Hassanein, T.L. et al. A Closed Form for the Second Virial Coefficient Using the Modified Buckingham Potential. Journal of Low Temperature Physics 111, 447–452 (1998). https://doi.org/10.1023/A:1022212525635

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  • DOI: https://doi.org/10.1023/A:1022212525635

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