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Circular dichroism in the photoelectron angular distribution of achiral molecules

Christian S. Kern1,*, Xiaosheng Yang2,3,4, Giovanni Zamborlini1,5, Simone Mearini5, Matteo Jugovac5, Vitaliy Feyer5, Umberto De Giovannini6,7, Angel Rubio6,8, Serguei Soubatch2,3 et al.

Michael G. Ramsey1, F. Stefan Tautz2,3,4,†, and Peter Puschnig1,‡

  • *Contact author: christian.kern@uni-graz.at
  • †Contact author: s.tautz@fz-juelich.de
  • ‡Contact author: peter.puschnig@uni-graz.at

Phys. Rev. Research 8, 023275 – Published 11 June, 2026

DOI: https://doi.org/10.1103/6bkb-4rm3

Abstract

Circular dichroism in the angular distribution (CDAD) is the effect that the angular intensity distribution of photoemitted electrons depends on the handedness of the incident circularly polarized light. The origin of CDAD can be manifold, including intrinsic properties of the system under study, such as chirality, spin-orbit interaction, or quantum-geometrical properties, but CDAD can also originate from final-state effects influenced by the experimental geometry. For example, CDAD has been reported for achiral organic molecules at the interface to metallic substrates. For this latter case, we investigate two prototypical π-conjugated molecules, namely, tetracene and pentacene, whose frontier orbitals have a similar shape but exhibit distinctly different symmetries. By comparing experimental CDAD momentum maps with simulations within time-dependent density functional theory, we show how the final state of the photoelectron must be regarded as the source of the CDAD in such otherwise achiral and quantum-geometrically trivial systems. We gain additional insight into the mechanism by employing a simple scattering model for the final state, which allows us to decompose the CDAD signal into partial wave contributions.

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References (120)

  1. D. Caldwell and H. Eyring, The Theory of Optical Activity, Environmental Science and Technology (Wiley-Interscience, New York, NY, 1971).
  2. R. W. Woody, Electronic circular dichroism of proteins, in Comprehensive Chiroptical Spectroscopy, edited by N. Berova, P. L. Polavarapu, K. Nakanishi, and R. W. Woody (John Wiley & Sons, Ltd, Hoboken, New Jersey, 2012), Chap. 14, pp. 473–497.
  3. S. Kirschner and N. Ahmad, Optical rotatory dispersion, circular dichroism, and the Pfeiffer effect in coordination compounds, in Coordination Chemistry: Papers Presented in Honor of Professor John C. Bailar, Jr., edited by S. Kirschner (Springer US, Boston, MA, 1969), pp. 42–63.
  4. S. M. Kelly, T. J. Jess, and N. C. Price, How to study proteins by circular dichroism, Biochim. Biophys. Acta Proteins Proteomics 1751, 119 (2005).
  5. N. Berova, L. D. Bari, and G. Pescitelli, Application of electronic circular dichroism in configurational and conformational analysis of organic compounds, Chem. Soc. Rev. 36, 914 (2007).
  6. G. Pescitelli, L. Di Bari, and N. Berova, Conformational aspects in the studies of organic compounds by electronic circular dichroism, Chem. Soc. Rev. 40, 4603 (2011).
  7. S. Allenmark, Induced circular dichroism by chiral molecular interaction, Chirality 15, 409 (2003).
  8. A. D. Buckingham and P. J. Stephens, Magnetic optical activity, Annu. Rev. Phys. Chem. 17, 399 (1966).
  9. C. W. Deutsche and A. Moscowitz, Optical activity of vibrational origin. I. A model helical polymer, J. Chem. Phys. 49, 3257 (1968).
  10. E. C. Hsu and G. Holzwarth, Vibrational circular dichroism observed in crystalline α−NiSO4·6H2O and α−ZnSeO4·6H2O between 1900 and 5000cm−1, J. Chem. Phys. 59, 4678 (1973).
  11. G. Holzwarth, E. C. Hsu, H. S. Mosher, T. R. Faulkner, and A. Moscowitz, Infrared circular dichroism of carbon-hydrogen and carbon-deuterium stretching modes. observations, J. Am. Chem. Soc. 96, 251 (1974).
  12. D. Craig and T. Thirunamachandran, A theory of vibrational circular dichroism in terms of vibronic interactions, Mol. Phys. 35, 825 (1978).
  13. P. J. Stephens, Theory of vibrational circular dichroism, J. Phys. Chem. 89, 748 (1985).
  14. B. Ritchie, Theoretical studies in photoelectron spectroscopy. Molecular optical activity in the region of continuous absorption and its characterization by the angular distribution of photoelectrons, Phys. Rev. A 12, 567 (1975).
  15. B. Ritchie, Theory of the angular distribution of photoelectrons ejected from optically active molecules and molecular negative ions, Phys. Rev. A 13, 1411 (1976).
  16. B. Ritchie, Theory of the angular distribution for ejection of photoelectrons from optically active molecules and molecular negative ions. II, Phys. Rev. A 14, 359 (1976).
  17. N. A. Cherepkov, Manifestations of the optical activity of molecules in the dipole photoeffect, J. Phys. B 16, 1543 (1983).
  18. 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).
  19. T. Jahnke, L. Foucar, J. Titze, R. Wallauer, T. Osipov, E. P. Benis, A. Alnaser, O. Jagutzki, W. Arnold, S. K. Semenov, N. A. Cherepkov, L. P. H. Schmidt, A. Czasch, A. Staudte, M. Schöffler, C. L. Cocke, M. H. Prior, H. Schmidt-Böcking, and R. Dörner, Vibrationally resolved k-shell photoionization of CO with circularly polarized light, Phys. Rev. Lett. 93, 083002 (2004).
  20. R. Fasel, J. Wider, C. Quitmann, K.-H. Ernst, and T. Greber, Determination of the absolute chirality of adsorbed molecules, Angew. Chem. Int. Ed. 43, 2853 (2004).
  21. I. Powis, Photoelectron circular dichroism in chiral molecules, Advances in Chemical Physics, edited by S. A. Rice (John Wiley & Sons, Ltd., Hoboken, New Jersey, 2008), Chap. 5, pp. 267–329.
  22. M. H. M. Janssen and I. Powis, Detecting chirality in molecules by imaging photoelectron circular dichroism, Phys. Chem. Chem. Phys. 16, 856 (2014).
  23. L. Ferrari, P. Moras, P. Gori, S. Turchini, N. Zema, A. Palma, J. Fujii, I. Vobornik, G. Alejandro, D. Catone, T. Prosperi, and C. Carbone, Electronic properties and photoelectron circular dichroism of adsorbed chiral molecules, Phys. Rev. B 91, 085408 (2015).
  24. S. Turchini, Conformational effects in photoelectron circular dichroism, J. Phys.: Condens. Matter 29, 503001 (2017).
  25. A. Mugarza, N. Lorente, P. Ordejón, C. Krull, S. Stepanow, M.-L. Bocquet, J. Fraxedas, G. Ceballos, and P. Gambardella, Orbital specific chirality and homochiral self-assembly of achiral molecules induced by charge transfer and spontaneous symmetry breaking, Phys. Rev. Lett. 105, 115702 (2010).
  26. G. Contini, S. Turchini, S. Sanna, D. Catone, J. Fujii, I. Vobornik, T. Prosperi, and N. Zema, Transfer of chirality from adsorbed chiral molecules to the substrate highlighted by circular dichroism in angle-resolved valence photoelectron spectroscopy, Phys. Rev. B 86, 035426 (2012).
  27. G. Contini, P. Gori, F. Ronci, S. Colonna, A. Palma, S. Turchini, D. Catone, T. Prosperi, and N. Zema, Two-dimensional molecular chirality transfer on metal surfaces, Rend. Lincei 24, 251 (2013).
  28. E. Rouquet, M. Roy Chowdhury, G. A. Garcia, L. Nahon, J. Dupont, V. Lepère, K. Le Barbu-Debus, and A. Zehnacker, Induced photoelectron circular dichroism onto an achiral chromophore, Nat. Commun. 14, 6290 (2023).
  29. D. Baykusheva, D. Zindel, V. Svoboda, E. Bommeli, M. Ochsner, A. Tehlar, and H. J. Wörner, Real-time probing of chirality during a chemical reaction, Proc. Natl. Acad. Sci. USA 116, 23923 (2019).
  30. V. Svoboda, N. B. Ram, D. Baykusheva, D. Zindel, M. D. J. Waters, B. Spenger, M. Ochsner, H. Herburger, J. Stohner, and H. J. Wörner, Femtosecond photoelectron circular dichroism of chemical reactions, Sci. Adv. 8, eabq2811 (2022).
  31. A. Comby, S. Beaulieu, M. Boggio-Pasqua, D. Descamps, F. Légaré, L. Nahon, S. Petit, B. Pons, B. Fabre, Y. Mairesse, and V. Blanchet, Relaxation dynamics in photoexcited chiral molecules studied by time-resolved photoelectron circular dichroism: Toward chiral femtochemistry, J. Phys. Chem. Lett. 7, 4514 (2016).
  32. S. Beaulieu, A. Comby, B. Fabre, D. Descamps, A. Ferré, G. Garcia, R. Géneaux, F. Légaré, L. Nahon, S. Petit, T. Ruchon, B. Pons, V. Blanchet, and Y. Mairesse, Probing ultrafast dynamics of chiral molecules using time-resolved photoelectron circular dichroism, Faraday Discuss. 194, 325 (2016).
  33. D. S. Tikhonov, A. Blech, M. Leibscher, L. Greenman, M. Schnell, and C. P. Koch, Pump-probe spectroscopy of chiral vibrational dynamics, Sci. Adv. 8, eade0311 (2022).
  34. D. Faccialà, M. Devetta, S. Beauvarlet, N. Besley, F. Calegari, C. Callegari, D. Catone, E. Cinquanta, A. G. Ciriolo, L. Colaizzi, et al., Time-resolved chiral x-ray photoelectron spectroscopy with transiently enhanced atomic site selectivity: A free-electron laser investigation of electronically excited fenchone enantiomers, Phys. Rev. X 13, 011044 (2023).
  35. M. Monti, L. Biancorosso, and E. Coccia, Time-resolved circular dichroism in molecules: Experimental and theoretical advances, Molecules 29, 4049 (2024).
  36. V. Wanie, E. Bloch, E. P. Månsson, L. Colaizzi, S. Ryabchuk, K. Saraswathula, A. F. Ordonez, D. Ayuso, O. Smirnova, A. Trabattoni, V. Blanchet, N. Ben Amor, M.-C. Heitz, Y. Mairesse, B. Pons, and F. Calegari, Capturing electron-driven chiral dynamics in UV-excited molecules, Nature (London) 630, 109 (2024).
  37. N. Cherepkov, Circular dichroism of molecules in the continuous absorption region, Chem. Phys. Lett. 87, 344 (1982).
  38. J. R. Appling, M. G. White, T. M. Orlando, and S. L. Anderson, Observation of circular dichroism in photoelectron angular distributions, J. Chem. Phys. 85, 6803 (1986).
  39. R. L. Dubs, S. N. Dixit, and V. McKoy, Circular dichroism in photoelectron angular distributions from adsorbed atoms, Phys. Rev. B 32, 8389 (1985).
  40. R. L. Dubs, S. N. Dixit, and V. McKoy, Circular dichroism in photoelectron angular distributions from oriented linear molecules, Phys. Rev. Lett. 54, 1249 (1985).
  41. R. L. Dubs, S. N. Dixit, and V. McKoy, Circular dichroism in photoelectron angular distributions as a probe of atomic and molecular alignment, J. Chem. Phys. 85, 656 (1986).
  42. G. Schönhense, C. Westphal, J. Bansmann, M. Getzlaff, J. Noffke, and L. Fritsche, Circular dichroism in photoemission from surfaces, Surf. Sci. 251–252, 132 (1991).
  43. C. Westphal, J. Bansmann, M. Getzlaff, and G. Schönhense, Circular dichroism in the angular distribution of photoelectrons from oriented CO molecules, Phys. Rev. Lett. 63, 151 (1989).
  44. C. Westphal, J. Bansmann, M. Getzlaff, G. Schönhense, N. Cherepkov, M. Braunstem, V. McKoy, and R. Dubs, Circular dichroism in photoemission from oriented molecules at surfaces, Surf. Sci. 253, 205 (1991).
  45. G. Schönhense, Circular dichroism and spin polarization in photoemission from adsorbates and non-magnetic solids, Phys. Scr. T31, 255 (1990).
  46. U. Bänninger, G. Busch, M. Campagna, and H. C. Siegmann, Photoelectron spin polarization and ferromagnetism of crystalline and amorphous nickel, Phys. Rev. Lett. 25, 585 (1970).
  47. J. Henk, T. Scheunemann, S. V. Halilov, and R. Feder, Magnetic dichroism and electron spin polarization in photoemission: Analytical results, J. Phys.: Condens. Matter 8, 47 (1996).
  48. U. Fano, Spin orientation of photoelectrons ejected by circularly polarized light, Phys. Rev. 178, 131 (1969).
  49. J. Kirschner, R. Feder, and J. F. Wendelken, Electron spin polarization in energy- and angle-resolved photoemission from W(001): Experiment and theory, Phys. Rev. Lett. 47, 614 (1981).
  50. U. Heinzmann and J. H. Dil, Spin–orbit-induced photoelectron spin polarization in angle-resolved photoemission from both atomic and condensed matter targets, J. Phys.: Condens. Matter 24, 173001 (2012).
  51. A. Hartung, F. Morales, M. Kunitski, K. Henrichs, A. Laucke, M. Richter, T. Jahnke, A. Kalinin, M. Schöffler, L. P. H. Schmidt, M. Ivanov, O. Smirnova, and R. Dörner, Electron spin polarization in strong-field ionization of xenon atoms, Nat. Photon. 10, 526 (2016).
  52. D. Vasilyev, K. Medjanik, S. Babenkov, M. Ellguth, G. Schönhense, and H.-J. Elmers, Relation between spin–orbit induced spin polarization, Fano-effect and circular dichroism in soft x-ray photoemission, J. Phys.: Condens. Matter 32, 135501 (2020).
  53. A. N. Artemyev, R. Tomar, D. Trabert, D. Kargin, E. Kutscher, M. S. Schöffler, L. P. H. Schmidt, R. Pietschnig, T. Jahnke, M. Kunitski, S. Eckart, R. Dörner, and P. V. Demekhin, Photoelectron circular dichroism in the spin-polarized spectra of chiral molecules, Phys. Rev. Lett. 132, 123202 (2024).
  54. X. Zhang, Q. Liu, J.-W. Luo, A. J. Freeman, and A. Zunger, Hidden spin polarization in inversion-symmetric bulk crystals, Nat. Phys. 10, 387 (2014).
  55. E. Razzoli, T. Jaouen, M.-L. Mottas, B. Hildebrand, G. Monney, A. Pisoni, S. Muff, M. Fanciulli, N. C. Plumb, V. A. Rogalev, V. N. Strocov, J. Mesot, M. Shi, J. H. Dil, H. Beck, and P. Aebi, Selective probing of hidden spin-polarized states in inversion-symmetric bulk MoS2, Phys. Rev. Lett. 118, 086402 (2017).
  56. S. R. Park, J. Han, C. Kim, Y. Y. Koh, C. Kim, H. Lee, H. J. Choi, J. H. Han, K. D. Lee, N. J. Hur, M. Arita, K. Shimada, H. Namatame, and M. Taniguchi, Chiral orbital-angular momentum in the surface states of Bi2Se3, Phys. Rev. Lett. 108, 046805 (2012).
  57. S. Cho, J.-H. Park, J. Hong, J. Jung, B. S. Kim, G. Han, W. Kyung, Y. Kim, S.-K. Mo, J. D. Denlinger, J. H. Shim, J. H. Han, C. Kim, and S. R. Park, Experimental observation of hidden Berry curvature in inversion-symmetric bulk 2H–WSe2, Phys. Rev. Lett. 121, 186401 (2018).
  58. S. Beaulieu, J. Schusser, S. Dong, M. Schüler, T. Pincelli, M. Dendzik, J. Maklar, A. Neef, H. Ebert, K. Hricovini, M. Wolf, J. Braun, L. Rettig, J. Minár, and R. Ernstorfer, Revealing hidden orbital pseudospin texture with time-reversal dichroism in photoelectron angular distributions, Phys. Rev. Lett. 125, 216404 (2020).
  59. Y. Yen, J. A. Krieger, M. Yao, I. Robredo, K. Manna, Q. Yang, E. C. McFarlane, C. Shekhar, H. Borrmann, S. Stolz, R. Widmer, O. Gröning, V. N. Strocov, S. S. P. Parkin, C. Felser, M. G. Vergniory, M. Schüler, and N. B. M. Schröter, Controllable orbital angular momentum monopoles in chiral topological semimetals, Nat. Phys. 20, 1912 (2024).
  60. S. S. Brinkman, X. L. Tan, B. Brekke, A. C. Mathisen, O. Finnseth, R. J. Schenk, K. Hagiwara, M.-J. Huang, J. Buck, M. Kalläne, M. Hoesch, K. Rossnagel, K.-H. Ou Yang, M.-T. Lin, G.-J. Shu, Y.-J. Chen, C. Tusche, and H. Bentmann, Chirality-driven orbital angular momentum and circular dichroism in CoSi, Phys. Rev. Lett. 132, 196402 (2024).
  61. J. Schusser, H. Orio, M. Ünzelmann, J. Heßdörfer, M. P. T. Masilamani, F. Diekmann, K. Rossnagel, and F. Reinert, Towards robust dichroism in angle-resolved photoemission, Commun. Phys. 7, 270 (2024).
  62. I. Sidilkover, Y. Yen, S. W. D'Souza, J. Schusser, A. Pulkkinen, C. R. Rotundu, M. Hashimoto, D. Liu, Z.-X. Shen, J. Minár, M. Schüler, H. Soifer, and J. A. Sobota, Reexamining circular dichroism in photoemission from a topological insulator, Phys. Rev. Res. 7, 033027 (2025).
  63. M. Schüler, U. D. Giovannini, H. Hübener, A. Rubio, M. A. Sentef, and P. Werner, Local Berry curvature signatures in dichroic angle-resolved photoelectron spectroscopy from two-dimensional materials, Sci. Adv. 6, eaay2730 (2020).
  64. M. Schüler, U. De Giovannini, H. Hübener, A. Rubio, M. A. Sentef, T. P. Devereaux, and P. Werner, How circular dichroism in time- and angle-resolved photoemission can be used to spectroscopically detect transient topological states in graphene, Phys. Rev. X 10, 041013 (2020).
  65. M. Schüler, T. Pincelli, S. Dong, T. P. Devereaux, M. Wolf, L. Rettig, R. Ernstorfer, and S. Beaulieu, Polarization-modulated angle-resolved photoemission spectroscopy: Toward circular dichroism without circular photons and Bloch wave-function reconstruction, Phys. Rev. X 12, 011019 (2022).
  66. M. Kang, S. Kim, Y. Qian, P. M. Neves, L. Ye, J. Jung, D. Puntel, F. Mazzola, S. Fang, C. Jozwiak, A. Bostwick, E. Rotenberg, J. Fuji, I. Vobornik, J.-H. Park, J. G. Checkelsky, B.-J. Yang, and R. Comin, Measurements of the quantum geometric tensor in solids, Nat. Phys. 21, 110 (2025).
  67. S. Kim, Y. Chung, Y. Qian, S. Park, C. Jozwiak, E. Rotenberg, A. Bostwick, K. S. Kim, and B.-J. Yang, Direct measurement of the quantum metric tensor in solids, Science 388, 1050 (2025).
  68. J. Erhardt, C. Schmitt, P. Eck, M. Schmitt, P. Keßler, K. Lee, T. Kim, C. Cacho, I. Cojocariu, D. Baranowski, V. Feyer, L. Veyrat, G. Sangiovanni, R. Claessen, and S. Moser, Bias-free access to orbital angular momentum in two-dimensional quantum materials, Phys. Rev. Lett. 132, 196401 (2024).
  69. P. Puschnig, S. Berkebile, A. J. Fleming, G. Koller, K. Emtsev, T. Seyller, J. D. Riley, C. Ambrosch-Draxl, F. P. Netzer, and M. G. Ramsey, Reconstruction of molecular orbital densities from photoemission data, Science 326, 702 (2009).
  70. P. Woodruff, Modern Techniques of Surface Science (Cambridge University Press, Cambridge, UK, 2016).
  71. P. Puschnig and M. Ramsey, Photoemission tomography: Valence band photoemission as a quantitative method for investigating molecular films, in Encyclopedia of Interfacial Chemistry, edited by K. Wandelt (Elsevier, Oxford, 2018), pp. 380–391.
  72. G. Zamborlini, D. Lüftner, Z. Feng, B. Kollmann, P. Puschnig, C. Dri, M. Panighel, G. D. Santo, A. Goldoni, G. Comelli, M. Jugovac, V. Feyer, and C. M. Schneider, Multi-orbital charge transfer at highly oriented organic/metal interfaces, Nat. Commun. 8, 335 (2017).
  73. P. Hurdax, C. S. Kern, T. Boné, A. Haags, L. Egger, X. Yang, H. Kirschner, M. Richter, S. Soubatch, G. Koller, F. S. Tautz, M. Sterrer, P. Puschnig, and M. Ramsey, Extreme distortion of fused aromatics on dielectric interlayers quantified by photoemission orbital tomography, ACS Nano 16, 17435 (2022).
  74. X. Yang, L. Egger, P. Hurdax, H. Kaser, D. Lüftner, F. C. Bocquet, G. Koller, A. Gottwald, P. Tegeder, M. Richter, M. G. Ramsey, P. Puschnig, S. Soubatch, and F. S. Tautz, Identifying surface reaction intermediates with photoemission tomography, Nat. Commun. 10, 3189 (2019).
  75. I. Cojocariu, S. Carlotto, H. M. Sturmeit, G. Zamborlini, M. Cinchetti, A. Cossaro, A. Verdini, L. Floreano, M. Jugovac, P. Puschnig, C. Piamonteze, M. Casarin, V. Feyer, and C. M. Schneider, Ferrous to ferric transition in Fe-phthalocyanine driven by NO2 exposure, Chem. - Eur. J. 27, 3526 (2021).
  76. P. Puschnig, E.-M. Reinisch, T. Ules, G. Koller, S. Soubatch, M. Ostler, L. Romaner, F. S. Tautz, C. Ambrosch-Draxl, and M. G. Ramsey, Orbital tomography: Deconvoluting photoemission spectra of organic molecules, Phys. Rev. B 84, 235427 (2011).
  77. G. Koller, S. Berkebile, M. Oehzelt, P. Puschnig, C. Ambrosch-Draxl, F. P. Netzer, and M. G. Ramsey, Intra- and intermolecular band dispersion in an organic crystal, Science 317, 351 (2007).
  78. M. Wießner, J. Ziroff, F. Forster, M. Arita, K. Shimada, P. Puschnig, A. Schöll, and F. Reinert, Substrate-mediated band-dispersion of electronic states in adsorbed molecules, Nat. Commun. 4, 1514 (2013).
  79. A. Haags, D. Brandstetter, X. Yang, L. Egger, H. Kirschner, A. Gottwald, M. Richter, G. Koller, F. m. c. C. Bocquet, C. Wagner, M. G. Ramsey, S. Soubatch, P. Puschnig, and F. S. Tautz, Tomographic identification of all molecular orbitals in a wide binding-energy range, Phys. Rev. B 111, 165402 (2025).
  80. D. Lüftner, T. Ules, E. M. Reinisch, G. Koller, S. Soubatch, F. S. Tautz, M. G. Ramsey, and P. Puschnig, Imaging the wave functions of adsorbed molecules, Proc. Natl. Acad. Sci. USA 111, 605 (2014).
  81. M. Wießner, D. Hauschild, C. Sauer, V. Feyer, A. Schöll, and F. Reinert, Complete determination of molecular orbitals by measurement of phase symmetry and electron density, Nat. Commun. 5, 4156 (2014).
  82. S. Weiß, D. Lüftner, T. Ules, E. M. Reinisch, H. Kaser, A. Gottwald, M. Richter, S. Soubatch, G. Koller, M. G. Ramsey, F. S. Tautz, and P. Puschnig, Exploring three-dimensional orbital imaging with energy-dependent photoemission tomography, Nat. Commun. 6, 8287 (2015).
  83. M. Graus, C. Metzger, M. Grimm, P. Nigge, V. Feyer, A. Schöll, and F. Reinert, Three-dimensional tomographic imaging of molecular orbitals by photoelectron momentum microscopy, Eur. Phys. J. B 92, 80 (2019).
  84. M. Jansen, M. Keunecke, M. Düvel, C. Möller, D. Schmitt, W. Bennecke, J. Kappert, D. Steil, D. R. Luke, and S. Steil, Efficient orbital imaging based on ultrafast momentum microscopy and sparsity-driven phase retrieval, New J. Phys. 22, 063012 (2020).
  85. T. L. Dinh, G. S. M. Jansen, D. R. Luke, W. Bennecke, and S. Mathias, A minimalist approach to 3D photoemission orbital tomography: Algorithms and data requirements, New J. Phys. 26, 043024 (2024).
  86. A. M. Bradshaw and D. P. Woodruff, Molecular orbital tomography for adsorbed molecules: Is a correct description of the final state really unimportant? New J. Phys. 17, 013033 (2015).
  87. M. Dauth, M. Graus, I. Schelter, M. Wießner, A. Schöll, F. Reinert, and S. Kümmel, Perpendicular emission, dichroism, and energy dependence in angle-resolved photoemission: The importance of the final state, Phys. Rev. Lett. 117, 183001 (2016).
  88. L. Egger, B. Kollmann, P. Hurdax, D. Lüftner, X. Yang, S. Weiß, A. Gottwald, M. Richter, G. Koller, S. Soubatch, F. S. Tautz, P. Puschnig, and M. G. Ramsey, Can photoemission tomography be useful for small, strongly-interacting adsorbate systems? New J. Phys. 21, 043003 (2019).
  89. S. Moser, A toy model for dichroism in angle resolved photoemission, J. Electron Spectrosc. Relat. Phenom. 262, 147278 (2023).
  90. X. Yang, L. Egger, J. Fuchsberger, M. Unzog, D. Lüftner, F. Hajek, P. Hurdax, M. Jugovac, G. Zamborlini, V. Feyer, G. Koller, P. Puschnig, F. S. Tautz, M. G. Ramsey, and S. Soubatch, Coexisting charge states in a unary organic monolayer film on a metal, J. Phys. Chem. Lett. 10, 6438 (2019).
  91. T. Ules, D. Lüftner, E. M. Reinisch, G. Koller, P. Puschnig, and M. G. Ramsey, Orbital tomography of hybridized and dispersing molecular overlayers, Phys. Rev. B 90, 155430 (2014).
  92. P. Wopperer, U. De Giovannini, and A. Rubio, Efficient and accurate modeling of electron photoemission in nanostructures with TDDFT, Eur. Phys. J. B 90, 51 (2017).
  93. Q. Chen, A. J. McDowall, and N. V. Richardson, Ordered structures of tetracene and pentacene on Cu(110) surfaces, acene, Langmuir 19, 10164 (2003).
  94. H. Daimon, T. Nakatani, S. Imada, S. Suga, Y. Kagoshima, and T. Miyahara, Strong circular dichroism in photoelectron diffraction from nonchiral, nonmagnetic material–direct observation of rotational motion of electrons, Jpn. J. Appl. Phys. 32, L1480 (1993).
  95. U. De Giovannini, D. Varsano, M. A. L. Marques, H. Appel, E. K. U. Gross, and A. Rubio, Ab initio angle- and energy-resolved photoelectron spectroscopy with time-dependent density-functional theory, Phys. Rev. A 85, 062515 (2012).
  96. U. De Giovannini, G. Brunetto, A. Castro, J. Walkenhorst, and A. Rubio, Simulating pump-probe photoelectron and absorption spectroscopy on the attosecond timescale with time-dependent density functional theory, ChemPhysChem 14, 1363 (2013).
  97. U. De Giovannini, H. Hübener, and A. Rubio, A first-principles time-dependent density functional theory framework for spin and time-resolved angular-resolved photoelectron spectroscopy in periodic systems, J. Chem. Theory Comput. 13, 265 (2017).
  98. M. A. L. Marques, A. Castro, G. F. Bertsch, and A. Rubio, Octopus: A first-principles tool for excited electron-ion dynamics, Comput. Phys. Commun. 151, 60 (2003).
  99. A. Castro, H. Appel, M. Oliveira, C. A. Rozzi, X. Andrade, F. Lorenzen, M. A. L. Marques, E. K. U. Gross, and A. Rubio, Octopus: A tool for the application of time-dependent density functional theory, Phys. Status Solidi B 243, 2465 (2006).
  100. X. Andrade, D. Strubbe, U. De Giovannini, A. H. Larsen, M. J. T. Oliveira, J. Alberdi-Rodriguez, A. Varas, I. Theophilou, N. Helbig, M. J. Verstraete, L. Stella, F. Nogueira, A. Aspuru-Guzik, A. Castro, M. A. L. Marques, and A. Rubio, Real-space grids and the Octopus code as tools for the development of new simulation approaches for electronic systems, Phys. Chem. Chem. Phys. 17, 31371 (2015).
  101. N. Tancogne-Dejean, M. J. T. Oliveira, X. Andrade, H. Appel, C. H. Borca, G. Le Breton, F. Buchholz, A. Castro, S. Corni, A. A. Correa, et al., Octopus, a computational framework for exploring light-driven phenomena and quantum dynamics in extended and finite systems, J. Chem. Phys. 152, 124119 (2020).
  102. L. Tao and A. Scrinzi, Photo-electron momentum spectra from minimal volumes: The time-dependent surface flux method, New J. Phys. 14, 013021 (2012).
  103. A. Scrinzi, t-SURFF: Fully differential two-electron photo-emission spectra, New J. Phys. 14, 085008 (2012).
  104. U. De Giovannini, A. H. Larsen, and A. Rubio, Modeling electron dynamics coupled to continuum states in finite volumes with absorbing boundaries, Eur. Phys. J. B 88, 56 (2015).
  105. P. A. M. Dirac, Note on exchange phenomena in the Thomas atom, Math. Proc. Camb. Philos. Soc. 26, 376 (1930).
  106. J. P. Perdew and A. Zunger, Self-interaction correction to density-functional approximations for many-electron systems, Phys. Rev. B 23, 5048 (1981).
  107. K. Yabana and G. F. Bertsch, Time-dependent local-density approximation in real time, Phys. Rev. B 54, 4484 (1996).
  108. W. D. Grobman, Angle-resolved photoemission from molecules in the independent-atomic-center approximation, Phys. Rev. B 17, 4573 (1978).
  109. S. Hasegawa, T. Miyamae, K. Yakushi, H. Inokuchi, K. Seki, and N. Ueno, Origin of the photoemission intensity oscillation of C60, Phys. Rev. B 58, 4927 (1998).
  110. C. S. Kern, A. Haags, L. Egger, X. Yang, H. Kirschner, S. Wolff, T. Seyller, A. Gottwald, M. Richter, U. De Giovannini, A. Rubio, M. G. Ramsey, F. C. Bocquet, S. Soubatch, F. S. Tautz, P. Puschnig, and S. Moser, Simple extension of the plane-wave final state in photoemission: Bringing understanding to the photon-energy dependence of two-dimensional materials, Phys. Rev. Res. 5, 033075 (2023).
  111. E. Aprà, E. J. Bylaska, W. A. de Jong, N. Govind, K. Kowalski, T. P. Straatsma, M. Valiev, H. J. J. van Dam, Y. Alexeev, J. Anchell, et al., NWChem: Past, present, and future, J. Chem. Phys. 152, 184102 (2020).
  112. A. D. Becke, Density-functional thermochemistry. iii. the role of exact exchange, J. Chem. Phys. 98, 5648 (1993).
  113. P. J. Stephens, F. J. Devlin, C. F. Chabalowski, and M. J. Frisch, Ab initio calculation of vibrational absorption and circular dichroism spectra using density functional force fields, J. Phys. Chem. 98, 11623 (1994).
  114. P. Krüger, Photoelectron diffraction from valence states of oriented molecules, J. Phys. Soc. Jpn. 87, 061007 (2018).
  115. M. Nozaki and P. Krüger, Computational method for angle-resolved photoemission spectra from repeated-slab band structure calculations, Phys. Rev. B 110, 195406 (2024).
  116. P. Krüger and F. Matsui, Observation and theory of strong circular dichroism in angle-revolved photoemission from graphite, J. Electron Spectrosc. Relat. Phenom. 258, 147219 (2022).
  117. https://doi.org/10.26165/JUELICH-DATA/YNPMLW.
  118. C. Schneider, C. Wiemann, M. Patt, V. Feyer, L. Plucinski, I. Krug, M. Escher, N. Weber, M. Merkel, O. Renault, and N. Barrett, Expanding the view into complex material systems: From micro-ARPES to nanoscale HAXPES, J. Electron Spectrosc. Relat. Phenom. 185, 330 (2012).
  119. G. B. Arfken, H. J. Weber, and F. E. Harris, Angular momentum, Mathematical Methods for Physicists, 7th ed. (Academic Press, Oxford, UK, 2013), Chap. 16, pp. 773–814.
  120. E. U. Condon and G. H. Shortley, Theory of Atomic Spectra (Cambridge University Press, 1935).

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