DOI: 10.1063/1.1730184. Determination of Intermolecular Potentials from Thermodynamic Data and the Law of Corresponding States

Determination of Intermolecular Potentials from Thermodynamic Data and the Law of Corresponding States

10.1063/1.1730184

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

It is shown that in classical statistical mechanics the second virial coefficient in the virial expansion of the equation of state of a gas uniquely determines the intermolecular potential provided that the potential is monotonic (i.e., everywhere repulsive or everywhere attractive). This result leads to a partial verification of a conjecture of H. Kammerlingh-Onnes and W. H. Keesom concerning the Law of Corresponding States. An explicit formula for the potential is also obtained. If the potential is not monotonic it is not uniquely determined by the second virial coefficient. All potentials corresponding to a given second virial coefficient are determined explicitly.

Bibliography

Keller, J. B., & Zumino, B. (1959). Determination of Intermolecular Potentials from Thermodynamic Data and the Law of Corresponding States. The Journal of Chemical Physics, 30(5), 1351â1353.

Authors 2

Joseph B. Keller (first)
Bruno Zumino (additional)

References 5 Referenced 57

{'key': '2024020818354665100_r1'}
{'key': '2024020818354665100_r2', 'first-page': '463', 'volume': 'A106', 'year': '1924', 'journal-title': 'Proc. Roy. Soc. (London)'} / Proc. Roy. Soc. (London) (1924)
10.1063/1.1747712 / J. Chem. Phys. (1950)
{'key': '2024020818354665100_r4'}
10.1016/S0031-8914(38)80037-9 / Physica (1938)

Dates

Type	When
Created	20 years, 7 months ago (Jan. 5, 2005, 9:22 p.m.)
Deposited	1 year, 6 months ago (Feb. 8, 2024, 2:04 p.m.)
Indexed	2 weeks, 6 days ago (Aug. 6, 2025, 8:27 a.m.)
Issued	66 years, 3 months ago (May 1, 1959)
Published	66 years, 3 months ago (May 1, 1959)
Published Print	66 years, 3 months ago (May 1, 1959)

Funders 0

None

BibTeX

@article{Keller_1959, title={Determination of Intermolecular Potentials from Thermodynamic Data and the Law of Corresponding States}, volume={30}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.1730184}, DOI={10.1063/1.1730184}, number={5}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Keller, Joseph B. and Zumino, Bruno}, year={1959}, month=may, pages={1351–1353} }

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