Harvey, A.
and Garberoglio, G.
(2011),
Path-integral calculation of the third virial coefficient of quantum gases at low temperatures, Journal of Chemical Physics
(Accessed May 14, 2025)
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Path-integral calculation of the third virial coefficient of quantum gases at low temperatures
Published
Author(s)
, Giovanni Garberoglio
Abstract
We derive path-integral expressions for the second and third virial coefficients of monatomic quantum gases. Unlike previous work that considered only Boltzmann statistics, we include exchange effects (Bose-Einstein or Fermi-Dirac statistics). We use state-of-the-art pair and three-body potentials to calculate the third virial coefficient of 3He and 4He in the temperature range 2.6-24.5561 K. We obtain uncertainties smaller than those of the limited experimental data. Inclusion of exchange effects is necessary to obtain accurate results below about 7 K.Citation
Journal of Chemical Physics
Volume
134
Pub Type
Journals
Keywords
helium, quantum statistical mechanics, thermodynamics, virial coefficients
Citation
Issues
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Created April 5, 2011, Updated February 19, 2017