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  • Letter
  • Open Access

Interplay between the electric-dipole and nondipole-induced forward-backward asymmetries in the inner-shell photoionization of chiral molecules

Nikolay M. Novikovskiy1, Dmitrii V. Rezvan1, Laura Sommerlad2, Arno Ehresmann1, Till Jahnke3,4, Reinhard Dörner2, Markus S. Schöffler2, and Philipp V. Demekhin1,*

  • *Contact author: demekhin@physik.uni-kassel.de

Phys. Rev. A 112, L061102 – Published 10 December, 2025

DOI: https://doi.org/10.1103/x18h-rn31

Abstract

We investigate the laboratory-frame angular emission distribution of photoelectrons, ejected by circularly polarized light from chiral molecules, theoretically beyond the electric-dipole approximation. We demonstrate that the helicity-dependent forward-backward asymmetry, which is governed by the electric-dipole interaction and known as photoelectron circular dichroism (PECD), can be altered significantly by the helicity-independent asymmetry, which is induced by nondipole contributions. Our findings are exemplified by numerical calculations on the inner-shell photoionization of the bromine atom in the epibromohydrin molecule. The uncovered effect is expected to be omnipresent in the deep inner-shell ionization and needs to be taken into consideration in the interpretation of experiments on PECD in chiral molecules.

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References (52)

  1. I. Powis, Photoelectron circular dichroism in chiral molecules, in Advances in Chemical Physics, edited by S. A. Rice (Wiley, Hoboken, NJ, 2008), Vol. 138, Chap. 5, p. 267.
  2. L. Nahon, G. A. Garcia, and I. Powis, Valence shell one-photon photoelectron circular dichroism in chiral systems, J. Electron Spectrosc. Relat. Phenom. 204, Part B, 322 (2015).
  3. S. Turchini, Conformational effects in photoelectron circular dichroism, J. Phys.: Condens. Matter 29, 503001 (2017).
  4. B. Ritchie, Theory of the angular distribution of photoelectrons ejected from optically active molecules and molecular negative ions, Phys. Rev. A 13, 1411 (1976).
  5. N. Böwering, T. Lischke, B. Schmidtke, N. Müller, T. Khalil, and U. Heinzmann, Asymmetry in photoelectron emission from chiral molecules induced by circularly polarized light, Phys. Rev. Lett. 86, 1187 (2001).
  6. G. A. Garcia, L. Nahon, M. Lebech, J. C. Houver, D. Dowek, and I. Powis, Circular dichroism in the photoelectron angular distribution from randomly oriented enantiomers of camphor, J. Chem. Phys. 119, 8781 (2003).
  7. C. Lux, M. Wollenhaupt, T. Bolze, Q. Liang, J. Köhler, C. Sarpe, and T. Baumert, Circular dichroism in the photoelectron angular distributions of camphor and fenchone from multiphoton ionization with femtosecond laser pulses, Angew. Chem., Int. Ed. 51, 5001 (2012).
  8. C. S. Lehmann, N. B. Ram, I. Powis, and M. H. M. Janssen, Imaging photoelectron circular dichroism of chiral molecules by femtosecond multiphoton coincidence detection, J. Chem. Phys. 139, 234307 (2013).
  9. S. Beaulieu, A. Ferré, R. Géneaux, R. Canonge, D. Descamps, B. Fabre, N. Fedorov, F. Légaré, S. Petit, T. Ruchon, V. Blanchet, Y. Mairesse, and B. Pons, Universality of photoelectron circular dichroism in the photoionization of chiral molecules, New J. Phys. 18, 102002 (2016).
  10. M. Wollenhaupt, Photoelectron circular dichroism in different ionization regimes, New J. Phys. 18, 121001 (2016).
  11. M. Stener, G. Fronzoni, D. Di Tommaso, and P. Decleva, Density functional study on the circular dichroism of photoelectron angular distribution from chiral derivatives of oxirane, J. Chem. Phys. 120, 3284 (2004).
  12. U. Hergenhahn, E. E. Rennie, O. Kugeler, S. Marburger, T. Lischke, I. Powis, and G. A. Garcia, Photoelectron circular dichroism in core level ionization of randomly oriented pure enantiomers of the chiral molecule camphor, J. Chem. Phys. 120, 4553 (2004).
  13. L. Nahon, G. A. Garcia, C. J. Harding, E. Mikajlo, and I. Powis, Determination of chiral asymmetries in the valence photoionization of camphor enantiomers by photoelectron imaging using tunable circularly polarized light, J. Chem. Phys. 125, 114309 (2006).
  14. G. Alberti, S. Turchini, G. Contini, N. Zema, T. Prosperi, S. Stranges, V. Feyer, P. Bolognesi, and L. Avaldi, Dichroism in core-excited and core-ionized methyloxirane, Phys. Scr. 78, 058120 (2008).
  15. V. Ulrich, S. Barth, S. Joshi, U. Hergenhahn, E. Mikajlo, C. J. Harding, and I. Powis, Giant chiral asymmetry in the c 1s core level photoemission from randomly oriented fenchone enantiomers, J. Phys. Chem. A 112, 3544 (2008).
  16. D. Catone, M. Stener, P. Decleva, G. Contini, N. Zema, T. Prosperi, V. Feyer, K. C. Prince, and S. Turchini, Resonant circular dichroism of chiral metal-organic complex, Phys. Rev. Lett. 108, 083001 (2012).
  17. M. Tia, M. Pitzer, G. Kastirke, J. Gatzke, H.-K. Kim, F. Trinter, J. Rist, A. Hartung, D. Trabert, J. Siebert, K. Henrichs, J. Becht, S. Zeller, H. Gassert, F. Wiegandt, R. Wallauer, A. Kuhlins, C. Schober, T. Bauer, N. Wechselberger et al., Observation of enhanced chiral asymmetries in the inner-shell photoionization of uniaxially oriented methyloxirane enantiomers, J. Phys. Chem. Lett. 8, 2780 (2017).
  18. M. Ilchen, G. Hartmann, P. Rupprecht, A. N. Artemyev, R. N. Coffee, Z. Li, H. Ohldag, H. Ogasawara, T. Osipov, D. Ray, P. Schmidt, T. J. A. Wolf, A. Ehresmann, S. Moeller, A. Knie, and P. V. Demekhin, Emitter-site-selective photoelectron circular dichroism of trifluoromethyloxirane, Phys. Rev. A 95, 053423 (2017).
  19. G. Hartmann, M. Ilchen, P. Schmidt, C. Küstner-Wetekam, C. Ozga, F. Scholz, J. Buck, F. Trinter, J. Viefhaus, A. Ehresmann, M. S. Schöffler, A. Knie, and P. V. Demekhin, Recovery of high-energy photoelectron circular dichroism through Fano interference, Phys. Rev. Lett. 123, 043202 (2019).
  20. G. Nalin, K. Fehre, F. Trinter, N. M. Novikovskiy, N. Anders, D. Trabert, S. Grundmann, M. Kircher, A. Khan, R. Tomar, M. Hofmann, M. Waitz, I. Vela-Pérez, G. Kastirke, J. Siebert, D. Tsitsonis, H. Fukuzawa, K. Ueda, J. B. Williams, D. Kargin et al., Photoelectron circular dichroism of o 1s-photoelectrons of uniaxially oriented trifluoromethyloxirane: Energy dependence and sensitivity to molecular configuration, Phys. Chem. Chem. Phys. 23, 17248 (2021).
  21. K. Fehre, N. M. Novikovskiy, S. Grundmann, G. Kastirke, S. Eckart, F. Trinter, J. Rist, A. Hartung, D. Trabert, C. Janke, G. Nalin, M. Pitzer, S. Zeller, F. Wiegandt, M. Weller, M. Kircher, M. Hofmann, L. P. H. Schmidt, A. Knie et al., Fourfold differential photoelectron circular dichroism, Phys. Rev. Lett. 127, 103201 (2021).
  22. M. Ilchen, P. Schmidt, N. M. Novikovskiy, G. Hartmann, P. Rupprecht, R. N. Coffee, A. Ehresmann, A. Galler, N. Hartmann, W. Helml, Z. Huang, L. Inhester, A. A. Lutman, J. P. MacArthur, T. Maxwell, M. Meyer, V. Music, H.-D. Nuhn, T. Osipov, D. Ray et al., Site-specific interrogation of an ionic chiral fragment during photolysis using an x-ray free-electron laser, Commun. Chem. 4, 119 (2021).
  23. K. Fehre, F. Trinter, N. M. Novikovskiy, S. Grundmann, D. Tsitsonis, S. Eckart, L. Bauer, M. Hilzinger, T. Jahnke, R. Dörner, P. V. Demekhin, and M. S. Schöffler, Influence of the emission site on the photoelectron circular dichroism in trifluoromethyloxirane, Phys. Chem. Chem. Phys. 24, 13597 (2022).
  24. K. Fehre, N. M. Novikovskiy, S. Grundmann, G. Kastirke, S. Eckart, F. Trinter, J. Rist, A. Hartung, D. Trabert, Ch Janke, M. Pitzer, S. Zeller, F. Wiegandt, M. Weller, M. Kircher, G. Nalin, M. Hofmann, L. P. H. Schmidt, A. Knie, A. Hans et al., A new route for enantio-sensitive structure determination by photoelectron scattering on molecules in the gas phase, Phys. Chem. Chem. Phys. 24, 26458 (2022).
  25. G. Nalin, N. M. Novikovskiy, K. Fehre, N. Anders, D. Trabert, S. Grundmann, M. Kircher, A. Khan, R. Tomar, M. Hofmann, M. Waitz, I. Vela-Perez, G. Kastirke, J. Siebert, D. Tsitsonis, C. Küstner-Wetekam, L. Marder, J. Viehmann, F. Trinter, H. Fukuzawa , Molecular-frame differential photoelectron circular dichroism of o 1s-photoelectrons of trifluoromethyloxirane, Phys. Rev. Res. 5, 013021 (2023).
  26. P. Auger and F. Perrin, La répartition dans l'espace des directions d'émission des photoélectrons, J. Phys. Radium 8, 93 (1927).
  27. A. Sommerfeld and G. Schur, Über den photoeffekt in der k-schale der atome, insbesondere über die voreilung der photoelektronen, Ann. Phys. 396, 409 (1930).
  28. J. Fischer, Beiträge zur theorie der absorption von röntgenstrahlen, Ann. Phys. 400, 821 (1931).
  29. F. Sauter, Über den atomaren photoeffekt bei grosser härte der anregenden strahlung, Ann. Phys. 401, 217 (1931).
  30. F. Sauter, Über den atomaren photoeffekt in der k-schale nach der relativistischen wellenmechanik diracs, Ann. Phys. 403, 454 (1931).
  31. D. W. Lindle and O. Hemmers, Breakdown of the dipole approximation in soft-x-ray photoemission, J. Electron. Spectros. Relat. Phenom. 100, 297 (1999).
  32. R. W. Dunford, E. P. Kanter, B. Krässig, S. H. Southworth, and L. Young, Higher-order processes in x-ray photoionization and decay, Radiat. Phys. Chem. 70, 149 (2004).
  33. I. E. Brumboiu, O. Eriksson, and P. Norman, Atomic photoionization cross sections beyond the electric dipole approximation, J. Chem. Phys. 150, 044306 (2019).
  34. M. Kircher, J. Rist, F. Trinter, S. Grundmann, M. Waitz, N. Melzer, I. Vela-Peréz, T. Mletzko, A. Pier, N. Strenger, J. Siebert, R. Janssen, L. P. H. Schmidt, A. N. Artemyev, M. S. Schöffler, T. Jahnke, R. Dörner, and Ph. V. Demekhin, Recoil-induced asymmetry of nondipole molecular frame photoelectron angular distributions in the hard x-ray regime, Phys. Rev. Lett. 123, 243201 (2019).
  35. M. Schmidt, N. Melzer, M. Kircher, G. Kastirke, A. Pier, L. Kaiser, P. Daum, D. Tsitsonis, M. Astaschov, J. Rist, N. Anders, P. Roth, K. Lin, J. Drnec, F. Trinter, M. S. Schöffler, L. P. H. Schmidt, N. M. Novikovskiy, P. V. Demekhin, T. Jahnke et al., The role of the binding energy on nondipole effects in single-photon ionization, Phys. Rev. Lett. 132, 233002 (2024).
  36. D. V. Rezvan, K. Klyssek, S. Grundmann, A. Pier, N. M. Novikovskiy, N. Strenger, D. Tsitsonis, M. Kircher, I. Vela-Perez, K. Fehre, F. Trinter, M. S. Schöffler, T. Jahnke, R. Dörner, and P. V. Demekhin, Observation of nondipole-induced asymmetry in the angular emission distribution of photoelectrons from fixed-in-space CO molecule, Phys. Rev. Lett. 129, 253201 (2022).
  37. J. W. Cooper, Photoelectron-angular-distribution parameters for rare-gas subshells, Phys. Rev. A 47, 1841 (1993).
  38. A. Derevianko, W. R. Johnson, and K. T. Cheng, Non-dipole effects in photoelectron angular distributions for rare gas atoms, At. Data Nucl. Data Tables 73, 153 (1999).
  39. N. A. Cherepkov, Theory of spin phenomena in molecular photoionisation processes, J. Phys. B: At. Mol. Phys. 14, 2165 (1981).
  40. Ph. V. Demekhin, I. D. Petrov, V. L. Sukhorukov, W. Kielich, P. Reiss, R. Hentges, I. Haar, H. Schmoranzer, and A. Ehresmann, Interference effects during the auger decay of the C*O 1s−1π* resonance studied by angular distribution of the CO+(A) photoelectrons and polarization analysis of the CO+(A−X) fluorescence, Phys. Rev. A 80, 063425 (2009); 81, 069902(E) (2010).
  41. A. Knie, M. Ilchen, P. Schmidt, P. Reiß, C. Ozga, B. Kambs, A. Hans, N. Müglich, S. A. Galitskiy, L. Glaser, P. Walter, J. Viefhaus, A. Ehresmann, and P. V. Demekhin, Angle-resolved study of resonant auger decay and fluorescence emission processes after core excitations of the terminal and central nitrogen atoms in N2O, Phys. Rev. A 90, 013416 (2014).
  42. N. A. Cherepkov, Circular dichroism of molecules in the continuous absorption region, Chem. Phys. Lett. 87, 344 (1982).
  43. D. Toffoli and P. Decleva, Photoelectron angular distributions beyond the dipole approximation: A computational study on the N2 molecule, J. Phys. B: At., Mol. Opt. Phys. 39, 2681 (2006).
  44. N. Berova, K. Nakanishi, and R. W. Woody, Circular Dichroism: Principles and Applications (Wiley, Hoboken, NJ, 2009).
  45. M. H. M. Janssen and I. Powis, Detecting chirality in molecules by imaging photoelectron circular dichroism, Phys. Chem. Chem. Phys. 16, 856 (2014).
  46. C. Lux, M. Wollenhaupt, C. Sarpe, and T. Baumert, Photoelectron circular dichroism of bicyclic ketones from multiphoton ionization with femtosecond laser pulses, ChemPhysChem 16, 115 (2015).
  47. Ph V. Demekhin, A. Ehresmann, and V. L. Sukhorukov, Single center method: A computational tool for ionization and electronic excitation studies of molecules, J. Chem. Phys. 134, 024113 (2011).
  48. S. A. Galitskiy, A. N. Artemyev, K. Jänkälä, B. M. Lagutin, and Ph V. Demekhin, Hartree-Fock calculation of the differential photoionization cross sections of small Li clusters, J. Chem. Phys. 142, 034306 (2015).
  49. N. M. Novikovskiy, A. N. Artemyev, D. V. Rezvan, B. M. Lagutin, and Ph V. Demekhin, Multichannel single center method, J. Phys. B: At., Mol. Opt. Phys. 55, 175001 (2022).
  50. G. P. Williams, X-ray properties of the elements: Electron binding energies, Lawrence Berkeley National Laboratory, 2000.
  51. A. Derevianko, O. Hemmers, S. Oblad, P. Glans, H. Wang, S. B. Whitfield, R. Wehlitz, I. A. Sellin, W. R. Johnson, and D. W. Lindle, Electric-Octupole and pure-electric-quadrupole effects in soft-x-ray photoemission, Phys. Rev. Lett. 84, 2116 (2000).
  52. V. Schmidt, Post-Collision interaction in inner-shell ionization, AIP Conf. Proc. 94, 544 (1982).

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