- Open Access
Spin-orbit-resolved resonant Auger spectrum of a dissociating HCl molecule
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 resonance occurs on the same 10-fs timescale as the Auger decay of the vacancy. This means that the , and valence molecular orbitals involved in the electronic transition can significantly differ from the orbitals at the ground state equilibrium internuclear position. The nonrelativistic 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 emission energy range, but fails to reproduce highly resolved experimental data. We show that addition of the spin-orbit interaction of the and final states significantly improves the agreement for the spectral feature arising from the , and states that converge to the H dissociation limit. Somewhat surprisingly, we found that the nonrelativistic limit splits to five instead of three ) dissociation limits of the fragment at large internuclear distances. The similarity with the atomic case is broken because of a different nature of the molecular state, which is populated by a weak participator Auger decay and converges to a different, significantly higher Cl() 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.
Physics Subject Headings (PhySH)
Article Text
References (37)
- P. Morin and I. Nenner, Atomic autoionization following very fast dissociation of core-excited HBr, Phys. Rev. Lett. 56, 1913 (1986).
- 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).
- 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 probed by resonant x-ray Raman scattering in the Cl region, Phys. Rev. A 73, 020706 (2006).
- 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 -shell excitation in HCl, Phys. Rev. Lett. 105, 113004 (2010).
- 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).
- F. Gelmukhanov and H. Ågren, X-ray resonant scattering involving dissociative states, Phys. Rev. A 54, 379 (1996).
- F. Gel'mukhanov, P. Sałek, T. Privalov, and H. Ågren, Duration of x-ray Raman scattering, Phys. Rev. A 59, 380 (1999).
- 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).
- 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).
- 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).
- R. Bohinc, M. Žitnik, K. Bučar, and M. Kavčič, Dissociation dynamics of simple chlorine containing molecules upon resonant Cl K-* excitation, J. Chem. Phys. 140, 164304 (2014).
- 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).
- 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).
- 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).
- M. Hrast, M. Ljubotina, and M. Žitnik, Ab initio Auger spectrum of the ultrafast dissociating * resonance in HCl, Phys. Chem. Chem. Phys. 27, 1473 (2025).
- 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).
- H. Aksela, S. Aksela, O.-P. Sairanen, A. Kivimäki, G. M. Bancroft, and K. H. Tan, Decay channels of core-excited molecular states in , HCl and , Phys. Scr. T41, 122 (1992).
- 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 * states of HCl, DCl and , Chem. Phys. Lett. 258, 265 (1996).
- 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).
- 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 excitations in the HCl molecule, Phys. Rev. A 57, R1485 (1998).
- 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 edge of HCl, Phys. Rev. A 57, 2724 (1998).
- P. Sałek, F. Gel'mukhanov, and H. Ågren, Wave-packet dynamics of resonant x-ray Raman scattering: Excitation near the Cl edge of HCl, Phys. Rev. A 59, 1147 (1999).
- 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).
- 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).
- J. Sakurai, Advanced Quantum Mechanics (Addison-Wesley, Reading, MA, 1967), p. 336.
- 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 x-ray Raman scattering from HCl, Phys. Rev. A 74, 062512 (2006).
- 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).
- 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).
- E. Z. Chelkowska and F. P. Larkins, Auger spectroscopy for molecules: Tables of matrix elements for transition-rate calculations corresponding to an -, -, or -type initial hole, At. Data Nucl. Data Tables 49, 121 (1991).
- F. Gel'mukhanov and H. Ågren, Resonant x-ray Raman scattering, Phys. Rep. 312, 87 (1999).
- M. Hrast, Effect of ultrafast molecular dissociation on the Auger decay of the vacancy on chlorine, Ph.D. thesis, , 2024, https://repozitorij.uni-lj.si/IzpisGradiva.php?id=158288&lang=eng.
- H. Siegbahn, L. Asplund, and P. Kelfve, The Auger electron spectrum of water vapour, Chem. Phys. Lett. 35, 330 (1975).
- 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).
- 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).
- P. Jönsson, X. He, C. Froese Fischer, and I. P. Grant, The GRASP2K relativistic atomic structure package, Comput. Phys. Commun. 177, 597 (2007).
- 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.
- J. Raftery and W. G. Richards, Prediction of a predissociation in the a of and , J. Phys. B 6, 1301 (1973).