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  5. Ab initio potential energy surface for the nitrogen molecule pair and thermophysical properties of nitrogen gas

Ab initio potential energy surface for the nitrogen molecule pair and thermophysical properties of nitrogen gas

Publication date
2013-02-01
Document type
Research article
Author
Hellmann, Robert  
Organisational unit
Universität Rostock
DOI
10.1080/00268976.2012.726379
URI
https://openhsu.ub.hsu-hh.de/handle/10.24405/14495
Scopus ID
2-s2.0-84875854114
Series or journal
Molecular Physics
ISSN
1362-3028
0026-8976
Periodical volume
111
Periodical issue
3
First page
387
Last page
401
Peer-reviewed
✅
Part of the university bibliography
Nein
Additional Information
Language
English
Keyword
Ab initio calculations
Kinetic theory
Nitrogen pair potential
Transport properties
Virial coefficients
Abstract
A four-dimensional potential energy hypersurface (PES) for the interaction of two rigid nitrogen molecules was determined from high-level quantum-chemical ab initio computations. A total of 408 points for 26 distinct angular configurations were calculated utilizing the counterpoise-corrected supermolecular approach at the CCSD(T) level of theory and basis sets up to aug-cc-pV5Z supplemented with bond functions. The calculated interaction energies were extrapolated to the complete basis set limit and complemented by corrections for core-core and core-valence correlations, relativistic effects and higher coupled-cluster levels up to CCSDT(Q). An analytical site-site potential function with five sites per nitrogen molecule was fitted to the interaction energies. The PES was validated by computing second and third pressure virial coefficients as well as shear viscosity and thermal conductivity in the dilute-gas limit. An improved PES was obtained by scaling the CCSDT(Q) corrections for all 408 points by a constant factor, leading to quantitative agreement with the most accurate experimental values of the second virial coefficient over a wide temperature range. The comparison with the best experimental data for shear viscosity shows that the values computed with the improved PES are too low by about 0.3% between 300 and 700 K. For thermal conductivity large systematic deviations are found above 500 K between the calculated values and most of the experimental data. © 2013 Copyright Taylor and Francis Group, LLC.
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