Harvey, A.
and Garberoglio, G.
(2025),
Avoiding interpolation errors for computed second virial coefficients of noble gases, Metrologia, [online], https://doi.org/10.1088/1681-7575/adfde3, https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=960258
(Accessed October 17, 2025)
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Avoiding interpolation errors for computed second virial coefficients of noble gases
Published
Author(s)
, Giovanni Garberoglio
Abstract
Virial coefficients for noble gases calculated from first principles play a key role in gas-based temperature and pressure metrology. They have typically been presented in tabular form, but as smaller uncertainties are achieved the uncertainty introduced by interpolation between tabulated points becomes significant. We demonstrate these interpolation errors for the second density and acoustic virial coefficients of 4He and for the second density virial coefficients of Ne and Ar. We then offer an alternative approach, using simple scripts along with a data structure containing precalculated phase shifts to generate these coefficients at any temperature of metrological interest. The approach is applied to the state-of-the-art pair potentials for 3He, 4He, Ne, and Ar, and the software and data tables are made available for general use.Citation
Metrologia
Volume
62
Issue
5
Pub Type
Journals
Download Paper
Keywords
argon, helium, interpolation, neon, phase shifts, second virial coefficients, uncertainty
Citation
Issues
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Created September 2, 2025