Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

First principles study of the OH radical: BΣ+2−XΠ2 and DΣ−2−XΠ2 rovibronic transitions

Rania Al Abdallah1, Nariman Abu Elkher1, Mubarak Almehairbi2, Salman Mahmoud1, Anton M. Fernando1,3, Mauro Pereira1, and Nayla El-Kork1,4,*

  • *Contact author: nayla.elkork@ku.ac.ae

Phys. Rev. Research 8, 013069 – Published 22 January, 2026

DOI: https://doi.org/10.1103/h853-qnjt

Abstract

OH radical can be found in comets, stellar atmospheres, planetary atmospheres, interstellar clouds, exoplanets, the solar photosphere, and sunspots, making it a significant astrophysical molecule. Its detection relies on its emission properties, intrinsic to the molecules’ rovibrational levels. This work presents high-level ab initio calculations of the electronic structure of OH radical using complete active space self consistent field/multiReference configuration interaction calculations, including Davidson correction methods with large basis sets and extensive treatment of the electron correlation. The adiabatic potential energy curves of the low-lying doublet and quartet electronic states of the hydroxyl, in the representation 2S+1Λ(+/−), are investigated. Additionally, a systematic investigation of the transition dipole moment function (TDMF) for the BΣ+2−XΠ2 and DΣ−2−XΠ2 transitions has been done along with the Franck-Condon factors of these systems. The computed TDMF and potential energy function are used in Le Roy's LEVEL and Western's PGOPHER programs, in combination with experimental literature line positions, to calculate rovibronic BΣ+2−XΠ2 and DΣ−2−XΠ2 transitions. The corresponding “first principles”-based line lists include line intensities, line positions with the relevant quantum numbers of the upper and lower states, e/f parity, and Einstein A coefficients. The results show good agreement with previously published experimental and theoretical data, including a corresponding updated MARVEL (measured active rotational-vibrational energy levels) analysis of the lowest excited states of the OH molecule.

View figure in article

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (78)

  1. S. R. Langhoff, E. F. van Dishoeck, R. Wetmore, and A. Dalgarno, Radiative lifetimes and dipole moments of the AΣ+2, BΣ+2, and C2Σ+ states of OH, J. Chem. Phys. 77, 1379 (1982).
  2. M. Yousefi, P. F. Bernath, J. Hodges, and T. Masseron, A new line list for the AΣ+2−XΠ2 electronic transition of OH, J. Quant. Spectrosc. Radiat. Transf. 217, 416 (2018).
  3. T. Furtenbacher, S. T. Hegedus, J. Tennyson, and A. G. Császár, Analysis of measured high-resolution doublet rovibronic spectra and related line lists of CH12 and OH16, Phys. Chem. Chem. Phys. 24, 19287 (2022).
  4. J. Lelieveld, F. J. Dentener, W. Peters, and M. C. Krol, On the role of hydroxyl radicals in the self-cleansing capacity of the troposphere, Atmos. Chem. Phys. 4, 2337 (2004).
  5. M. Gacesa and V. Kharchenko, Quantum reactive scattering of O(3P)+H2 at collision energies up to 4.4 eV, J. Chem. Phys. 141, 164324 (2014).
  6. M. Gacesa, N. Lewkow, and V. Kharchenko, Non-thermal production and escape of OH from the upper atmosphere of Mars, Icarus 284, 90 (2017).
  7. I. A. B. Meinel, OH emission bands in the spectrum of the night sky, Astrophys. J. 111, 555 (1950).
  8. M. C. Abrams, S. P. Davis, M. L. P. Rao, R. Engleman, Jr., and J. W. Brault, High-resolution Fourier transform spectroscopy of the Meinel system of OH, Astrophys. J. Suppl. Ser. 93, 351 (1994).
  9. A. Goldman, W. G. Schoenfeld, D. Goorvitch, C. Chackerian, Jr., H. Dothe, F. Mélen, M. C. Abrams, and J. E. A. Selby, Updated line parameters for OH X2II−X2II (υ′′υ′) transitions, J. Quant. Spectrosc. Radiat. Transf. 59, 453 (1998).
  10. J. S. A. Brooke, P. F. Bernath, C. M. Western, C. Sneden, M. Afşar, G. Li, and I. E. Gordon, Line strengths of rovibrational and rotational transitions in the XΠ2 ground state of OH, J. Quant. Spectrosc. Radiat. Transf. 168, 142 (2016).
  11. D. R. Crosley and R. K. Lengel, Relative transition probabilities and the electronic transition moment in the A-X system of OH, J. Quant. Spectrosc. Radiat. Transf. 15, 579 (1975).
  12. C. C. Wang and D. K. Killinger, Effect of rotational excitation on the band oscillator strength of OH, Phys. Rev. A 20, 1495 (1979).
  13. J. A. Coxon, Optimum molecular constants and term values for the XΠ2 (ν ≤ 5) and AΣ+2 (ν ≤ 3) states of OH, Can. J. Phys. 58, 933 (1980).
  14. R. Engleman, Accurate wavenumbers of the A2Σ→XΠ2 (0, 0) and (1, 0) bands of OH and OD, J. Quant. Spectrosc. Radiat. Transf. 12, 1347 (1972).
  15. G. H. Dieke and H. M. Crosswhite, The ultraviolet bands of OH fundamental data, J. Quant. Spectrosc. Radiat. Transf. 2, 97 (1962).
  16. C. W. Bauschlicher and S. R. Langhoff, Theoretical determination of the radiative lifetime of the AΣ+2 state of OH, J. Chem. Phys. 87, 4665 (1987).
  17. A. C. P. Bittencourt, F. V. Prudente, and J. D. M. Vianna, The fitting of potential energy and transition moment functions using neural networks: Transition probabilities in OH (AΣ+2→XΠ2), Chem. Phys. 297, 153 (2004).
  18. E. S. Hwang, J. B. Lipson, R. W. Field, and J. A. Dodd, Detection of OH (X, v”, J”) via the BΣ+2−XΠ2 transition and properties of the B2Σ+ State, J. Phys. Chem. A 105, 6030 (2001).
  19. A. N. Heays, N. de Oliveira, B. Gans, K. Ito, S. Boyé-Péronne, S. Douin, K. M. Hickson, L. Nahon, and J. C. Loison, High-resolution one-photon absorption spectroscopy of the DΣ−2←XΠ2 system of radical OH and OD, J. Quant. Spectrosc. Radiat. Transf. 204, 12 (2018).
  20. A. D. Sappey and R. A. Copeland, Laser double-resonance study of OH (X2Πi, v=12), J. Mol. Spectrosc. 143, 160 (1990).
  21. J. A. Coxon, A. D. Sappey, and R. A. Copeland, Molecular constants and term values for the hydroxyl radical, OH: The XΠ2 (v=8, 12), AΣ+2 (v=4–9), BΣ+2 (v=0, 1), and CΣ+2 (v=0, 1) states, J. Mol. Spectrosc. 145, 41 (1991).
  22. R. A. Copeland, J. B. Jeffries, and D. R. Crosley, The OH AΣ+2−X2Πi (4, 2) band: Line positions and linewidths, J. Mol. Spectrosc. 143, 183 (1990).
  23. R. A. Copeland, B. R. Chalamala, and J. A. Coxon, Laser-induced fluorescence of the BΣ+2−XΠ2 system of oh: Molecular constants for BΣ+2 (v=0, 1) and XΠ2 (v=7–9, 11–13), J. Mol. Spectrosc. 161, 243 (1993).
  24. P. F. Bernath and R. Colin, Revised molecular constants and term values for the XΠ2 and BΣ+2 states of OH, J. Mol. Spectrosc. 257, 20 (2009).
  25. P. F. Bernath, The atmospheric chemistry experiment (ACE), J. Quant. Spectrosc. Radiat. Transf. 186, 3 (2017).
  26. P. F. Bernath, et al., Atmospheric chemistry experiment (ACE): Mission overview, Geophys. Res. Lett. 32, L15S01 (2005).
  27. X. Qin and S. D. Zhang, Low-lying electronic states of the OH radical: Potential energy curves, dipole moment functions, and transition probabilities, J. Korean Phys. Soc. 65, 2017 (2014).
  28. B. S. D. R. Vamhindi and M. Nsangou, Accurate ab initio potential energy curves and spectroscopic properties of the low-lying electronic states of OH− and SH− molecular anions, Mol. Phys. 114, 2204 (2016).
  29. A. E. Douglas, Absorption of OH in the 1200 Å region, Can. J. Phys. 52, 318 (1974).
  30. E. F. van Dishoeck and A. Dalgarno, Photodissociation processes in the OH molecule, J. Chem. Phys. 79, 873 (1983).
  31. E. F. van Dishoeck, S. R. Langhoff, and A. Dalgarno, The low-lying 2Σ− states of OH, J. Chem. Phys. 78, 4552 (1983).
  32. M. Collard, P. Kerwin, and A. Hodgson, Two-photon resonance ionisation spectroscopy of OH/ODDΣ−2, Chem. Phys. Lett. 179, 422 (1991).
  33. E. de Beer, M. P. Koopmans, C. A. de Lange, Y. Wang, and W. A. Chupka, (2+1) Resonance-enhanced multiphoton ionization–photoelectron spectroscopy of the OH radical, J. Chem. Phys. 94, 7634 (1991).
  34. C. McRaven, J. Alnis, B. Furneaux, and N. Shafer-Ray, A 1+1 ionization scheme for sensitive detection of the OH radical, J. Phys. Chem. A 107, 7138 (2003).
  35. M. E. Greenslade, M. I. Lester, D. Č. Radenović, A. J. A. van Roij, and D. H. Parker, (2+1) Resonance-enhanced ionization spectroscopy of a state-selected beam of OH radicals, J. Chem. Phys. 123, 074309 (2005).
  36. A. D. Sappey, D. R. Crosley, and R. A. Copeland, Laser-induced fluorescence in the BΣ+2−X2Πi system of OH, AIP Conf. Proc. 191, 645 (1989).
  37. M. P. J. van der Loo and G. C. Groenenboom, Ab initio calculation of (2+1) resonance enhanced multiphoton ionization spectra and lifetimes of the (D, 3) 2Σ− states of OH and OD, J. Chem. Phys. 123, 074310 (2005).
  38. A. Tappe, C. J. Lada, J. H. Black, and A. A. Muench, Discovery of superthermal hydroxyl (OH) in the HH 211 outflow, Astrophys. J. 680, L117 (2008).
  39. S. Noll, W. Kausch, S. Kimeswenger, S. Unterguggenberger, and A. M. Jones, OH populations and temperatures from simultaneous spectroscopic observations of 25 bands, Atmos. Chem. Phys. 15, 3647 (2015).
  40. M. Asplund and A. E. G. Pérez, On OH line formation and oxygen abundances in metal-poor stars, Astron. Astrophys. 372, 2 (2001).
  41. A. A. Neuber, J. Janicka, and E. P. Hassel, Thermally assisted fluorescence of laser-excited OH AΣ+2 as a flame diagnostic tool, Appl. Opt. 35, 4033 (1996).
  42. R. Schiessl, U. Maas, A. Hoffmann, J. Wolfrum, and C. Schulz, Method for absolute OH-concentration measurements in premixed flames by LIF and numerical simulations, Appl. Phys. B 79, 759 (2004).
  43. C. Copeland, J. Friedman, and M. Renksizbulut, Planar temperature imaging using thermally assisted laser induced fluorescence of OH in a methane–air flame, Exp. Therm. Fluid Sci. 31, 221 (2007).
  44. W. H. Smith and T. P. Snow, Jr., Copernicus observational searches for OH and H2O in diffuse clouds, Astrophys. J. 228, 435 (1979).
  45. M. Asplund, N. Grevesse, A. J. Sauval, C. A. Prieto, and D. Kiselman, Line formation in solar granulation – IV. [O I], O I and OH lines and the photospheric O abundance, Astron. Astrophys. 417, 751 (2004).
  46. H.-J. Werner, P. J. Knowles, G. Knizia, F. R. Manby, and M. Schütz, Molpro: A general-purpose quantum chemistry program package, WIREs Comput. Mol. Sci. 2, 242 (2012).
  47. H.-J. Werner and P. J. Knowles, An efficient internally contracted multiconfiguration–reference configuration interaction method, J. Chem. Phys. 89, 5803 (1988).
  48. D. Feller, Application of a convergent, composite coupled cluster approach to bound state, adiabatic electron affinities in atoms and small molecules, J. Chem. Phys. 144, 014105 (2016).
  49. M. Semenov, N. El-Kork, S. N. Yurchenko, and J. Tennyson, Rovibronic spectroscopy of PN from first principles, Phys. Chem. Chem. Phys. 23, 22057 (2021).
  50. M. Korek, S. Bleik, and A. R. Allouche, Theoretical calculation of the low laying electronic states of the molecule NaCs with spin-orbit effect, J. Chem. Phys. 126, 124313 (2007).
  51. N. El-Kork, A. AlMasri Alwan, N. Abu El Kher, J. Assaf, T. Ayari, E. Alhseinat, and M. Korek, Laser cooling with intermediate state of spin–orbit coupling of LuF molecule, Sci. Rep. 13, 7087 (2023).
  52. I. Zeid, R. Al Abdallah, N. El-Kork, and M. Korek, Ab-initio calculations of the electronic structure of the alkaline earth hydride anions XH− (X=Mg, Ca, Sr and Ba) toward laser cooling experiment, Spectrochim. Acta A Mol. Biomol. Spectrosc. 224, 117461 (2020).
  53. F. Mélen, A. J. Sauval, N. Grevesse, C. B. Farmer, Ch. Servais, L. Delbouille, and G. Roland, A new analysis of the OH radical spectrum from solar infrared observations, J. Mol. Spectrosc. 174, 490 (1995).
  54. M. C. Abrams, A. Goldman, M. R. Gunson, C. P. Rinsland, and R. Zander, Observations of the infrared solar spectrum from space by the ATMOS experiment, Appl. Opt. 35, 2747 (1996).
  55. C. M. Western, PGOPHER: A program for simulating rotational, vibrational and electronic spectra, J. Quant. Spectrosc. Radiat. Transf. 186, 221 (2017).
  56. R. J. Le Roy, LEVEL: A computer program for solving the radial Schrödinger equation for bound and quasibound levels, J. Quant. Spectrosc. Radiat. Transf. 186, 167 (2017).
  57. See Supplemental Material at http://link.aps.org/supplemental/10.1103/h853-qnjt for datasets accompanying this work: transitions, energy levels, FCFs, and comprehensive OH line lists.
  58. A. Kramida, Yu. Ralchenko, J. Reader, and NIST ASD Team, NIST Atomic Spectra Database (version 5.12), NIST Standard Reference Database 78 (National Institute of Standards and Technology, Gaithersburg, MD, 2024), https://physics.nist.gov/asd.
  59. F. Jensen, Introduction to Computational Chemistry (John Wiley & Sons, 2017).
  60. D. Robinson, Splitting multiple bonds: A comparison of methodologies on the accuracy of bond dissociation energies, J. Comput. Chem. 34, 2625 (2013).
  61. J. M. L. Martin, J. P. François, and R. Gijbels, On size-consistency corrections for limited configuration-interaction calculations, Chem. Phys. Lett. 172, 346 (1990).
  62. G. B. Mitev, J. Tennyson, and S. N. Yurchenko, Predissociation dynamics of the hydroxyl radical (OH) based on a five-state spectroscopic model, J. Chem. Phys. 160, 144110 (2024).
  63. R. F. Barrow, The BΣ+2−AΣ+2 Band-Systems of OH and OD, Ark. Fys. 11, 281 (1956).
  64. K. P. Huber and G. Herzberg, Constants of diatomic molecules, in Molecular Spectra and Molecular Structure: IV. Constants of Diatomic Molecules, edited by K. P. Huber and G. Herzberg (Springer, US, Boston, MA, 1979), pp. 8–689.
  65. C. Carlone and F. W. Dalby, Spectrum of the hydroxyl radical, Can. J. Phys. 47, 18 (1969).
  66. G. B. Mitev, C. A. Bowesman, J. Zhang, S. N. Yurchenko, and J. Tennyson, ExoMol line lists–LXI. A trihybrid line list for Rovibronic transitions of the hydroxyl radical (OH), Mon. Not. R. Astron. Soc. 536, 3401 (2025).
  67. S. Srivastava and N. Sathyamurthy, Ab initio potential energy curves for the ground and low-lying excited states of OH and OH− and a study of rotational fine structure in photodetachment, J. Phys. Chem. A 118, 6343 (2014).
  68. J. Tellinghuisen and C. S. Ewig, Ab initio studies of molecular anions stabilized in point-charge lattices: Excited electronic states of OH−, Chem. Phys. Lett. 165, 355 (1990).
  69. J. M. L. Martin, Spectroscopic quality ab initio potential curves for CH, NH, OH and HF. A convergence study, Chem. Phys. Lett. 292, 411 (1998).
  70. J. P. Maillard, J. Chauville, and A. W. Mantz, High-resolution emission spectrum of OH in an oxyacetylene flame from 3.7 to 0.9 μm, J. Mol. Spectrosc. 63, 120 (1976).
  71. T. Furtenbacher, P. Árendás, G. Mellau, and A. G. Császár, Simple molecules as complex systems, Sci. Rep. 4, 4654 (2014).
  72. A. G. Császár, G. Czakó, T. Furtenbacher, and E. Mátyus, An active database approach to complete rotational–vibrational spectra of small molecules, in Annual Reports in Computational Chemistry, edited by D. C. Spellmeyer and R. Wheeler (Elsevier, 2007), Vol. 3, pp. 155–176.
  73. T. Furtenbacher, A. G. Császár, and J. Tennyson, MARVEL: Measured active rotational–vibrational energy levels, J. Mol. Spectrosc. 245, 115 (2007).
  74. T. Furtenbacher and A. G. Császár, MARVEL: Measured active rotational–vibrational energy levels. II. Algorithmic improvements, J. Quant. Spectrosc. Radiat. Transf. 113, 929 (2012).
  75. A. G. Császár and T. Furtenbacher, Spectroscopic networks, J. Mol. Spectrosc. 266, 99 (2011).
  76. T. Furtenbacher and A. G. Császár, The role of intensities in determining characteristics of spectroscopic networks, J. Mol. Struct. 1009, 123 (2012).
  77. P. Árendás, T. Furtenbacher, and A. G. Császár, On spectra of spectra, J. Math. Chem. 54, 806 (2016).
  78. P. F. Bernath, MoLLIST: Molecular line lists, intensities and spectra, J. Quant. Spectrosc. Radiat. Transf. 240, 106687 (2020).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation