Collisional excitation of NH(3{Sigma}-) by Ar: A new ab initio 3D potential energy surface and scattering calculations
Pith reviewed 2026-05-25 14:13 UTC · model grok-4.3
The pith
A new three-dimensional PES for NH-Ar that includes NH vibration supplies collisional excitation rates up to 350 K.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
We have calculated a new three-dimensional Potential Energy Surface (PES), which explicitly includes the NH bond vibration, using the open-shell CCSD(T) method with aug-cc-pVXZ (X=T,Q,5) basis sets extrapolated to the complete basis set limit. We calculated collisional excitation cross sections of the fine-structure levels of NH by Ar for energies up to 3000 cm^{-1}. After thermal average of the cross sections, we have then obtained the rate coefficients for temperatures up to 350 K. The propensity rules between the fine-structure levels are in good agreement with those of similar collisional systems.
What carries the argument
The new three-dimensional potential energy surface computed ab initio at the CCSD(T)/CBS level, which supplies the interaction potential for the close-coupling scattering calculations that produce the cross sections and rates.
If this is right
- The new rate coefficients can be inserted directly into radiative transfer models for NH in regions where argon collisions contribute.
- Propensity rules derived from the calculations indicate which fine-structure transitions are more probable than others in NH-Ar encounters.
- Inclusion of the NH vibrational coordinate in the PES allows the rates to remain valid at higher collision energies than rigid-rotor surfaces.
- The same computational route can be repeated for other rare-gas partners to build a consistent set of NH excitation data.
Where Pith is reading between the lines
- The rates may prove most useful for laboratory plasma or discharge environments where argon is abundant, rather than typical interstellar conditions.
- Because the PES is three-dimensional, it could later support calculations that also track vibrational excitation or relaxation of NH during collisions.
- If the computed rates match future experiments well, the same basis-set extrapolation strategy can be applied to similar open-shell hydride systems without major changes.
Load-bearing premise
The CCSD(T) method with aug-cc-pVXZ basis sets and CBS extrapolation produces a PES accurate enough that the resulting close-coupling cross sections and rates are reliable for the fine-structure levels without further empirical adjustment.
What would settle it
A laboratory measurement of state-to-state rate coefficients for NH fine-structure excitation by Ar at one or more temperatures between 50 K and 300 K that deviates significantly from the computed values would falsify the claim of sufficient accuracy.
Figures
read the original abstract
Collisional excitation of light hydrides is important to fully understand the complex chemical and physical processes of atmospheric and astrophysical environments. Here, we focus on the NH(X3{\Sigma}-)-Ar van der Waals system. First, we have calculated a new three-dimensional Potential Energy Surface (PES), which explicitly includes the NH bond vibration. We have carried out the ab initio calculations of the PES employing the open-shell single- and double-excitation couple cluster method with noniterative perturbational treatment of the triple excitations. To achieve a better accuracy, we have first obtained the energies using the augmented correlation-consistent aug-cc-pVXZ (X = T, Q, 5) basis sets and then we have extrapolated the final values to the complete basis set limit. We have also studied the collisional excitation of NH(X3{\Sigma}-)-Ar at the close-coupling level, employing our new PES. We calculated collisional excitation cross sections of the fine-structure levels of NH by Ar for energies up to 3000 cm-1 . After thermal average of the cross sections, we have then obtained the rate coefficients for temperatures up to 350 K. The propensity rules between the fine-structure levels are in good agreement with those of similar collisional systems, even though they are not as strong and pronounced as for lighter systems, such as NH-He. The final theoretical values are also compared with the few available experimental data.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript reports computation of a new three-dimensional ab initio potential energy surface (PES) for the NH(X³Σ⁻)–Ar van der Waals system that explicitly includes the NH bond vibration coordinate. The PES is obtained at the CCSD(T) level using aug-cc-pVXZ (X = T, Q, 5) basis sets extrapolated to the complete-basis-set limit. Close-coupling scattering calculations on this PES then yield state-to-state collisional excitation cross sections for the fine-structure levels of NH up to 3000 cm⁻¹; thermal averaging produces rate coefficients up to 350 K. Results are compared with the limited available experimental data and with propensity rules observed in related systems such as NH–He.
Significance. If the PES accuracy is as expected from the CCSD(T)/CBS protocol, the work supplies updated, vibrationally inclusive data needed for modeling NH in astrophysical and atmospheric environments. The explicit inclusion of the NH stretch is a clear advance over prior 2D surfaces, the methodology is parameter-free, and the direct comparison to experiment provides a falsifiable validation step. These strengths make the dataset useful for the community even if the numerical improvements over earlier surfaces are modest.
minor comments (2)
- [Abstract] Abstract: the statement that propensity rules 'are not as strong and pronounced as for lighter systems, such as NH-He' is left qualitative; a short quantitative comparison (e.g., ratio of ΔN=0 vs. ΔN=1 cross sections) would strengthen the claim.
- [Results/Discussion] The manuscript states that 'the final theoretical values are also compared with the few available experimental data,' but the main text should explicitly identify which experimental datasets are used and report the level of agreement (e.g., mean relative deviation) rather than leaving it implicit.
Simulated Author's Rebuttal
We thank the referee for the positive assessment of our manuscript and the recommendation to accept. The referee's summary correctly describes the new 3D PES, the CCSD(T)/CBS methodology, the close-coupling calculations, and the comparison to experiment and to NH-He.
Circularity Check
No significant circularity; standard ab initio workflow
full rationale
The paper computes a 3D PES via CCSD(T)/aug-cc-pVXZ + CBS extrapolation (explicitly including NH vibration) then performs close-coupling scattering to obtain cross sections and rates. No parameters are fitted to the NH-Ar target observables, no self-citations justify the central method or uniqueness, and no prediction reduces to a prior fit by construction. The derivation chain is self-contained against external benchmarks and external experimental data.
Axiom & Free-Parameter Ledger
axioms (2)
- domain assumption CCSD(T) with perturbative triples and aug-cc-pVXZ basis sets yields energies that can be reliably extrapolated to the complete basis set limit
- domain assumption Close-coupling quantum scattering on the resulting PES produces accurate state-to-state cross sections for fine-structure levels
Reference graph
Works this paper leans on
-
[1]
author author B. Friedrich \ and\ author J. M. \ Doyle ,\ @noop journal journal ChemPhysChem \ volume 10 ,\ pages 604 ( year 2009 ) NoStop
work page 2009
-
[2]
author author D. Egorov , author W. Campbell , author B. Friedrich , author S. Maxwell , author E. Tsikata , author L. Van Buuren , \ and\ author J. Doyle ,\ @noop journal journal Eur. Phys. J. D \ volume 31 ,\ pages 307 ( year 2004 ) NoStop
work page 2004
-
[3]
author author M. H. \ Alexander , author P. J. \ Dagdigian , \ and\ author D. Lemoine ,\ @noop journal journal J. Chem. Phys \ volume 95 ,\ pages 5036 ( year 1991 ) NoStop
work page 1991
-
[4]
author author J. L. \ Rinnenthal \ and\ author K.-H. \ Gericke ,\ @noop journal journal J. Chem. Phys \ volume 116 ,\ pages 9776 ( year 2002 ) NoStop
work page 2002
-
[5]
author author R. Krems , author H. Sadeghpour , author A. Dalgarno , author D. Zgid , author J. K os , \ and\ author G. Cha asi \'n ski ,\ @noop journal journal Phys. Rev. A \ volume 68 ,\ pages 051401 ( year 2003 ) NoStop
work page 2003
-
[6]
author author H. Cybulski , author R. Krems , author H. Sadeghpour , author A. Dalgarno , author J. K os , author G. Groenenboom , author A. van der Avoird , author D. Zgid , \ and\ author G. Cha asi \'n ski ,\ @noop journal journal J. Chem. Phys \ volume 122 ,\ pages 094307 ( year 2005 ) NoStop
work page 2005
-
[7]
Stoecklin ,\ @noop journal journal Phys
author author T. Stoecklin ,\ @noop journal journal Phys. Rev. A \ volume 80 ,\ pages 012710 ( year 2009 ) NoStop
work page 2009
-
[8]
author author R. Tobo a , author F. Dumouchel , author J. K os , \ and\ author F. Lique ,\ @noop journal journal J. Chem. Phys \ volume 134 ,\ pages 024305 ( year 2011 ) NoStop
work page 2011
-
[9]
author author F. Dumouchel , author J. K os , author R. Tobo a , author A. Bacmann , author S. Maret , author P. Hily-Blant , author A. Faure , \ and\ author F. Lique ,\ @noop journal journal J. Chem. Phys \ volume 137 ,\ pages 114306 ( year 2012 ) NoStop
work page 2012
-
[10]
author author R. Ramachandran , author J. K os , \ and\ author F. Lique ,\ @noop journal journal J. Chem. Phys \ volume 148 ,\ pages 084311 ( year 2018 ) NoStop
work page 2018
-
[11]
author author J. L. \ Rinnenthal \ and\ author K.-H. \ Gericke ,\ @noop journal journal J. Chem. Phys \ volume 113 ,\ pages 6210 ( year 2000 ) NoStop
work page 2000
-
[12]
author author G. Kerenskaya , author U. Schnupf , author M. C. \ Heaven , author A. van der Avoird , \ and\ author G. C. \ Groenenboom ,\ @noop journal journal Phys. Chem. Chem. Phys. \ volume 7 ,\ pages 846 ( year 2005 ) NoStop
work page 2005
-
[13]
author author N. Bouhafs \ and\ author F. Lique ,\ @noop journal journal J. Chem. Phys \ volume 143 ,\ pages 184311 ( year 2015 ) NoStop
work page 2015
-
[14]
author author P. J. \ Dagdigian ,\ @noop journal journal J. Chem. Phys \ volume 90 ,\ pages 6110 ( year 1989 ) NoStop
work page 1989
-
[15]
author author R. A. \ Kendall , author G. Cha asi \'n ski , author J. K os , author R. Bukowski , author M. W. \ Severson , author M. Szczȩ \'s niak , \ and\ author S. M. \ Cybulski ,\ @noop journal journal J. Chem. Phys \ volume 108 ,\ pages 3235 ( year 1998 ) NoStop
work page 1998
-
[16]
author author S. M. \ Cybulski , author R. Burcl , author G. Chal/asi \'n ski , \ and\ author M. Szczȩ \'s niak ,\ @noop journal journal J. Chem. Phys \ volume 103 ,\ pages 10116 ( year 1995 ) NoStop
work page 1995
-
[17]
Cybulski ,\ @noop journal journal J
author author S. Cybulski ,\ @noop journal journal J. Chem. Phys \ volume 91 ,\ pages 7048 ( year 1989 ) NoStop
work page 1989
-
[18]
author author Y. Kalugina , author F. Lique , \ and\ author S. Marinakis ,\ @noop journal journal Phys. Chem. Chem. Phys. \ volume 16 ,\ pages 13500 ( year 2014 ) NoStop
work page 2014
-
[19]
Lique ,\ @noop title Communication: Rotational excitation of hcl by h: Rigid rotor vs
author author F. Lique ,\ @noop title Communication: Rotational excitation of hcl by h: Rigid rotor vs. reactive approaches , \ ( year 2015 ) NoStop
work page 2015
-
[20]
author author C. Hampel , author K. A. \ Peterson , \ and\ author H.-J. \ Werner ,\ 10.1016/0009-2614(92)86093-W journal journal Chem. Phys. Lett. \ volume 190 ,\ pages 1 ( year 1992 ) NoStop
-
[21]
author author J. D. \ Watts , author J. Gauss , \ and\ author R. J. \ Bartlett ,\ @noop journal journal J. Chem. Phys \ volume 98 ,\ pages 8718 ( year 1993 ) NoStop
work page 1993
-
[22]
@noop note H.-J. Werner, P. J. Knowles, G. Knizia, F. R. Manby, M. Sch\" u tz , P. Celani, T. Korona, R. Lindh, A. Mitrushenkov, G. Rauhut, K. R. Shamasundar, T. B. Adler, R. D. Amos, A. Bernhardsson, A. Berning, D. L. Cooper, M. J. O. Deegan, A. J. Dobbyn, F. Eckert, E. Goll, C. Hampel, A. Hesselmann, G. Hetzer, T. Hrenar, G. Jansen, C. K\" o ppl, Y. Liu...
work page 2010
-
[23]
author author S. F. \ Boys \ and\ author F. d. \ Bernardi ,\ @noop journal journal Mol. Phys. \ volume 19 ,\ pages 553 ( year 1970 ) NoStop
work page 1970
-
[24]
author author T. H. \ Dunning Jr ,\ @noop journal journal J. Chem. Phys \ volume 90 ,\ pages 1007 ( year 1989 ) NoStop
work page 1989
-
[25]
author author K. A. \ Peterson , author D. E. \ Woon , \ and\ author T. H. \ Dunning Jr ,\ @noop journal journal J. Chem. Phys \ volume 100 ,\ pages 7410 ( year 1994 ) NoStop
work page 1994
-
[26]
author author H.-J. \ Werner , author B. Follmeg , \ and\ author M. H. \ Alexander ,\ @noop journal journal J. Chem. Phys \ volume 89 ,\ pages 3139 ( year 1988 ) NoStop
work page 1988
-
[27]
author author D. T. \ Colbert \ and\ author W. H. \ Miller ,\ @noop journal journal J. Chem. Phys \ volume 96 ,\ pages 1982 ( year 1992 ) NoStop
work page 1982
-
[28]
author author H.-J. \ Werner \ and\ author P. J. \ Knowles ,\ @noop journal journal J. Chem. Phys \ volume 89 ,\ pages 5803 ( year 1988 ) NoStop
work page 1988
-
[29]
@noop note J. M. Hutson, BOUND computer code, version 5 (1993), distributed by Collaborative Computational Project No. 6 of the Science and Engineering Research Council (UK). Stop
work page 1993
-
[30]
author author G. Jansen , author B. A. \ Hess , \ and\ author P. E. \ Wormer ,\ @noop journal journal Chem. Phys. Lett. \ volume 214 ,\ pages 103 ( year 1993 ) NoStop
work page 1993
-
[31]
author author W. Gordy \ and\ author R. L. \ Cook ,\ @noop title Microwave molecular spectra \ ( publisher Wiley, ,\ year 1984 ) NoStop
work page 1984
-
[32]
author author F. Lique , author A. Spielfiedel , author M.-L. \ Dubernet , \ and\ author N. Feautrier ,\ @noop journal journal J. Chem. Phys \ volume 123 ,\ pages 134316 ( year 2005 ) NoStop
work page 2005
-
[33]
author author J. M. \ Hutson \ and\ author S. Green ,\ @noop ( year 1994 ),\ note molscat computer code, version 14 (1994), distributed by Collaborative Computational Project No. 6 of the Engineering and Physical Sciences Research Council (UK) NoStop
work page 1994
-
[34]
author author F. Lewen , author S. Br \"u nken , author G. Winnewisser , author M. S ime c kov \'a , \ and\ author S . Urban ,\ @noop journal journal Journal of Molecular Spectroscopy \ volume 226 ,\ pages 113 ( year 2004 ) NoStop
work page 2004
-
[35]
author author L. N. \ Smith , author D. J. \ Malik , \ and\ author D. Secrest ,\ @noop journal journal J. Chem. Phys \ volume 71 ,\ pages 4502 ( year 1979 ) NoStop
work page 1979
-
[36]
author author K. M. \ Christoffel \ and\ author J. M. \ Bowman ,\ @noop journal journal J. Chem. Phys \ volume 78 ,\ pages 3952 ( year 1983 ) NoStop
work page 1983
-
[37]
author author M. H. \ Alexander \ and\ author P. J. \ Dagdigian ,\ @noop journal journal J. Chem. Phys \ volume 79 ,\ pages 302 ( year 1983 ) NoStop
work page 1983
-
[38]
Orlikowski ,\ @noop journal journal Mol
author author T. Orlikowski ,\ @noop journal journal Mol. Phys. \ volume 56 ,\ pages 35 ( year 1985 ) NoStop
work page 1985
-
[39]
Lique ,\ @noop journal journal J
author author F. Lique ,\ @noop journal journal J. Chem. Phys \ volume 132 ,\ pages 044311 ( year 2010 ) NoStop
work page 2010
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.