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Research PaperResearchia:202607.28037

Recommended Second Virial Coefficients for Nitrogen and Oxygen

Robert Hellmann

Abstract

We provide recommended values for the second virial coefficient, $B(T)$, and its uncertainty, for molecular nitrogen and oxygen. The temperature range covered is $20-3000$ K for nitrogen and $20-2000$ K for oxygen. The recommendations are based on tuning previously published state-of-the-art ab initio pair potentials so that the $B(T)$ calculated from the potentials match selected high-accuracy experimental data; for nitrogen the tuning utilizes values of $B$ derived from literature density data...

Submitted: July 28, 2026Subjects: Chemistry; Chemistry

Description / Details

We provide recommended values for the second virial coefficient, B(T)B(T), and its uncertainty, for molecular nitrogen and oxygen. The temperature range covered is 20βˆ’300020-3000 K for nitrogen and 20βˆ’200020-2000 K for oxygen. The recommendations are based on tuning previously published state-of-the-art ab initio pair potentials so that the B(T)B(T) calculated from the potentials match selected high-accuracy experimental data; for nitrogen the tuning utilizes values of BB derived from literature density data with greatly reduced uncertainty by analyzing the data with the aid of ab initio calculated higher virial coefficients. Quantum effects on BB are fully included with the path-integral Monte Carlo method. The resulting B(T)B(T) have uncertainties similar to those of the best experimental data, but cover a much wider temperature range.


Source: arXiv:2607.24634v1 - http://arxiv.org/abs/2607.24634v1 PDF: https://arxiv.org/pdf/2607.24634v1 Original Link: http://arxiv.org/abs/2607.24634v1

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Date:
Jul 28, 2026
Topic:
Chemistry
Area:
Chemistry
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