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

Spin-orbit-resolved resonant Auger spectrum of a dissociating HCl molecule

M. Žitnik, J. Turnšek, K. Bučar, and A. Mihelič

Phys. Rev. A 114, 043111 – Published 16 October, 2026

DOI: https://doi.org/10.1103/ws2q-ky4n

Abstract

The photodissociation of HCl via the antibonding 2p−1σ* resonance occurs on the same 10-fs timescale as the Auger decay of the 2p vacancy. This means that the v,v′, and σ* valence molecular orbitals involved in the electronic transition can significantly differ from the orbitals at the ground state equilibrium internuclear position. The nonrelativistic L−vv′ resonant Auger (RA) spectrum based on the stationary Green's function approach gives a good estimate of relative intensities of the three main spectral features in the 173–182eV emission energy range, but fails to reproduce highly resolved experimental data. We show that addition of the spin-orbit interaction of the 2π−2σ* and 5σ−12π−1σ* final states significantly improves the agreement for the spectral feature arising from the 4Π,2Σ, and 4Σ states that converge to the H + Cl+(3P) dissociation limit. Somewhat surprisingly, we found that the P3 nonrelativistic limit splits to five instead of three 3p−2(3P0,1,2) dissociation limits of the Cl+ fragment at large internuclear distances. The similarity with the atomic case is broken because of a different nature of the 2Π molecular state, which is populated by a weak participator Auger decay and converges to a different, significantly higher H+ + Cl(P2) dissociation limit. Our analysis shows that the remaining differences with an angle-integrated experimental spectrum are caused primarily by inaccuracies of the nonrelativistic final state potentials and not by the one-center approximation of the spectator Auger transition rates. The potential slope differences are imprinted on the RA spectrum with a sensitivity and range depending on the duration of molecular dissociation with respect to the core-hole lifetime.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (37)

  1. P. Morin and I. Nenner, Atomic autoionization following very fast dissociation of core-excited HBr, Phys. Rev. Lett. 56, 1913 (1986).
  2. O. Travnikova, T. Marchenko, G. Goldsztejn, K. Jänkälä, N. Sisourat, S. Carniato, R. Guillemin, L. Journel, D. Céolin, R. Püttner, H. Iwayama, E. Shigemasa, M. N. Piancastelli, and M. Simon, Hard-x-ray-induced multistep ultrafast dissociation, Phys. Rev. Lett. 116, 213001 (2016).
  3. M. Simon, L. Journel, R. Guillemin, W. C. Stolte, I. Minkov, F. Gel'mukhanov, P. Sałek, H. Ågren, S. Carniato, R. Taïeb, A. C. Hudson, and D. W. Lindle, Femtosecond nuclear motion of HCl probed by resonant x-ray Raman scattering in the Cl 1s region, Phys. Rev. A 73, 020706 (2006).
  4. M. Kavčič, M. Žitnik, K. Bučar, A. Mihelič, S. Carniato, L. Journel, R. Guillemin, and M. Simon, Electronic state interferences in resonant x-ray emission after k-shell excitation in HCl, Phys. Rev. Lett. 105, 113004 (2010).
  5. T. Marchenko, G. Goldsztejn, K. Jänkälä, O. Travnikova, L. Journel, R. Guillemin, N. Sisourat, D. Céolin, M. Žitnik, M. Kavčič, K. Bučar, A. Mihelič, B. Cunha de Miranda, I. Ismail, A. F. Lago, F. Gel'mukhanov, R. Püttner, M. N. Piancastelli, and M. Simon, Potential energy surface reconstruction and lifetime determination of molecular double-core-hole states in the hard x-ray regime, Phys. Rev. Lett. 119, 133001 (2017).
  6. F. Gelmukhanov and H. Ågren, X-ray resonant scattering involving dissociative states, Phys. Rev. A 54, 379 (1996).
  7. F. Gel'mukhanov, P. Sałek, T. Privalov, and H. Ågren, Duration of x-ray Raman scattering, Phys. Rev. A 59, 380 (1999).
  8. T. Marchenko, L. Journel, T. Marin, R. Guillemin, S. Carniato, M. Žitnik, M. Kavčič, K. Bučar, A. Mihelič, J. Hoszowska, W. Cao, and M. Simon, Resonant inelastic x-ray scattering at the limit of subfemtosecond natural lifetime, J. Chem. Phys. 134, 144308 (2011).
  9. G. Kladnik, D. Cvetko, A. Batra, M. Dell'Angela, A. Cossaro, M. Kamenetska, L. Venkataraman, and A. Morgante, Ultrafast charge transfer through noncovalent Au–N interactions in molecular systems, J. Phys. Chem. C 117, 16477 (2013).
  10. H. Aksela, E. Kukk, S. Aksela, O. P. Sairanen, A. Kivimaki, E. Nommiste, A. Ausmees, S. J. Osborne, and S. Svensson, Partial Auger decay rates of core-ionized molecular states in HCl and DCl, J. Phys. B: At. Mol. Opt. Phys. 28, 4259 (1995).
  11. R. Bohinc, M. Žitnik, K. Bučar, and M. Kavčič, Dissociation dynamics of simple chlorine containing molecules upon resonant Cl K-σ* excitation, J. Chem. Phys. 140, 164304 (2014).
  12. R. Bohinc, M. Žitnik, K. Bučar, M. Kavčič, S. Carniato, L. Journel, R. Guillemin, T. Marchenko, E. Kawerk, M. Simon, and W. Cao, Structural and dynamical properties of chlorinated hydrocarbons studied with resonant inelastic x-ray scattering, J. Chem. Phys. 144, 134309 (2016).
  13. P. Lablanquie, H. Iwayama, F. Penent, K. Soejima, and E. Shigemasa, Lifetime broadening of atomic lines produced upon ultrafast dissociation of HCl and HBr, J. Electron Spectrosc. Relat. Phenom. 195, 96 (2014).
  14. E. Kokkonen, K. Jänkälä, M. Patanen, W. Cao, M. Hrast, K. Bučar, M. Žitnik, and M. Huttula, Role of ultrafast dissociation in the fragmentation of chlorinated methanes, J. Chem. Phys. 148, 174301 (2018).
  15. M. Hrast, M. Ljubotina, and M. Žitnik, Ab initio Auger spectrum of the ultrafast dissociating 2p3/2+1σ* resonance in HCl, Phys. Chem. Chem. Phys. 27, 1473 (2025).
  16. H. Aksela, S. Aksela, M. Ala-Korpela, O.-P. Sairanen, M. Hotokka, G. M. Bancroft, K. H. Tan, and J. Tulkki, Decay channels of core-excited HCl, Phys. Rev. A 41, 6000 (1990).
  17. H. Aksela, S. Aksela, O.-P. Sairanen, A. Kivimäki, G. M. Bancroft, and K. H. Tan, Decay channels of core-excited molecular states in Cl2, HCl and H2S, Phys. Scr. T41, 122 (1992).
  18. A. Menzel, B. Langer, J. Viefhaus, S. Whitfield, and U. Becker, Competition between direct dissociation and resonant Auger decay: A quasi-classical model applied to the 2p−1σ* states of HCl, DCl and Cl2, Chem. Phys. Lett. 258, 265 (1996).
  19. E. Kukk, H. Aksela, O.-P. Sairanen, S. Aksela, A. Kivimäki, E. Nõmmiste, A. Ausmees, A. Kikas, S. J. Osborne, and S. Svensson, Auger decay of the dissociating core‐excited states in the HCl and DCl molecules, J. Chem. Phys. 104, 4475 (1996).
  20. E. Kukk, A. Wills, N. Berrah, B. Langer, J. D. Bozek, O. Nayadin, M. Alsherhi, A. Farhat, and D. Cubaynes, Angle-resolved two-dimensional mapping of electron emission following Cl 2p excitations in the HCl molecule, Phys. Rev. A 57, R1485 (1998).
  21. A. Kivimäki, E. Kukk, J. Karvonen, J. Mursu, E. Nõmmiste, H. Aksela, and S. Aksela, Angular distribution of electronic decay following molecular and Rydberg excitations at the Cl 2p edge of HCl, Phys. Rev. A 57, 2724 (1998).
  22. P. Sałek, F. Gel'mukhanov, and H. Ågren, Wave-packet dynamics of resonant x-ray Raman scattering: Excitation near the Cl Lii,iii edge of HCl, Phys. Rev. A 59, 1147 (1999).
  23. E. Sokell, A. A. Wills, M. Wiedenhoeft, X. Feng, D. Rolles, and N. Berrah, An investigation of dissociative resonant photoionization in HCl and DCl using two-dimensional photoelectron spectroscopy, J. Phys. B: At. Mol. Opt. Phys. 38, 1535 (2005).
  24. H. Sann, T. Havermeier, C. Müller, H.-K. Kim, F. Trinter, M. Waitz, J. Voigtsberger, F. Sturm, T. Bauer, R. Wallauer, D. Schneider, M. Weller, C. Goihl, J. Tross, K. Cole, J. Wu, M.S. Schöffler, H. Schmidt-Böcking, T. Jahnke, M. Simon, et al., Imaging the temporal evolution of molecular orbitals during ultrafast dissociation, Phys. Rev. Lett. 117, 243002 (2016).
  25. J. Sakurai, Advanced Quantum Mechanics (Addison-Wesley, Reading, MA, 1967), p. 336.
  26. C. Såthe, F. F. Guimarães, J.-E. Rubensson, J. Nordgren, A. Agui, J. Guo, U. Ekström, P. Norman, F. Gel'mukhanov, and H. Ågren, Resonant LII,III x-ray Raman scattering from HCl, Phys. Rev. A 74, 062512 (2006).
  27. E. Pahl, L. S. Cederbaum, H.-D. Meyer, and F. Tarantelli, Controlled interplay between decay and fragmentation in resonant Auger processes, Phys. Rev. Lett. 80, 1865 (1998).
  28. A. D. Pradhan, K. P. Kirby, and A. Dalgarno, Theoretical study of HCl+ : Potential curves, radiative lifetimes, and photodissociation cross sections, J. Chem. Phys. 95, 9009 (1991).
  29. E. Z. Chelkowska and F. P. Larkins, Auger spectroscopy for molecules: Tables of matrix elements for transition-rate calculations corresponding to an s-, p-, or d-type initial hole, At. Data Nucl. Data Tables 49, 121 (1991).
  30. F. Gel'mukhanov and H. Ågren, Resonant x-ray Raman scattering, Phys. Rep. 312, 87 (1999).
  31. M. Hrast, Effect of ultrafast molecular dissociation on the Auger decay of the 2p vacancy on chlorine, Ph.D. thesis, , 2024, https://repozitorij.uni-lj.si/IzpisGradiva.php?id=158288&lang=eng.
  32. H. Siegbahn, L. Asplund, and P. Kelfve, The Auger electron spectrum of water vapour, Chem. Phys. Lett. 35, 330 (1975).
  33. B. N. C. Tenorio, T. A. Voß, S. I. Bokarev, P. Decleva, and S. Coriani, Multireference approach to normal and resonant Auger spectra based on the one-center approximation, J. Chem. Theory Comput. 18, 4387 (2022).
  34. L. J. Radziemski and V. Kaufman, Wavelengths, energy levels, and analysis of the second spectrum of chlorine (Cl ii), J. Opt. Soc. Am. 64, 366 (1974).
  35. P. Jönsson, X. He, C. Froese Fischer, and I. P. Grant, The GRASP2K relativistic atomic structure package, Comput. Phys. Commun. 177, 597 (2007).
  36. A. Kramida, Y. Ralchenko, and J. Reader, NIST atomic spectra database (version 5.12), National Institute of Standards and Technology, 2024, doi: 10.18434/T4W30F.
  37. J. Raftery and W. G. Richards, Prediction of a predissociation in the a 2σ+ of HCl+ and DCl+, J. Phys. B 6, 1301 (1973).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation