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Revealing charge anisotropies in metal compounds via high-purity x-ray polarimetry

Lena Scherthan1, Juliusz A. Wolny1, Isabelle Faus1, Olaf Leupold2, Kai S. Schulze3,4,5, Sebastian Höfer3,4, Robert Loetzsch3,4, Berit Marx-Glowna3,4,5, Christopher E. Anson6 et al.

Annie K. Powell6,7, Ingo Uschmann3,4,5, Hans-Christian Wille2, Gerhard G. Paulus3,4,5, Volker Schünemann1, and Ralf Röhlsberger3,5,4,2

Phys. Rev. Research 8, 023297 – Published 15 June, 2026

DOI: https://doi.org/10.1103/rj8d-86dj

Abstract

Linear polarization analysis of hard x-rays is employed to probe electronic anisotropies in metal-containing complexes with high selectivity. We use polarization-resolved nuclear forward scattering (PR-NFS) of synchrotron radiation at the 14.4 keV nuclear resonance of Fe57 to determine electric field gradients (EFGs) in an iron(II) spin-crossover compound as they evolve during a temperature-dependent high-spin/low-spin transition. A pair of crossed Si(840) channel-cut crystals provides a high-purity x-ray polarimeter that suppresses the nonresonant background by nearly nine orders of magnitude and enables selective detection of nuclear resonant σ→π scattering. Using the spin-crossover complex Fe(PM-BiA)2(NCS)2 as a model system, we determine the orientation of the EFG tensor in the high-spin and low-spin states and follow its reorientation across the gradual thermally driven spin transition. By choosing suitable sample orientations, the polarization selectivity enhances the signal of a high-spin minority fraction of a few percent at low temperature. It reveals that the high-spin EFG at 120 K is not randomly distributed and does not align with the dominant low-spin EFG when these high-spin centers form a minority phase embedded in a low-spin matrix. The combination of PR-NFS with dynamical NFS simulations and density-functional calculations thus provides a sensitive, element- and site-selective method to quantify electronic anisotropies and their changes across phase transitions in Mössbauer-active metal compounds.

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References (46)

  1. C. Kramer, A. Spinn, and K. R. Liedl, Charge anisotropy: Where atomic multipoles matter most, J. Chem. Theory Comput. 10, 4488 (2014).
  2. B. Nordén, A. Rodger, and T. Dafforn, Linear Dichroism and Circular Dichroism (The Royal Society of Chemistry, Cambridge, 2010).
  3. D. Che, D. B. Shapiro, R. M. Esquerra, and D. S. Kliger, Ultrasensitive time-resolved linear dichroism spectral measurements using near-crossed linear polarizers, Chem. Phys. Lett. 224, 145 (1994).
  4. J. Réhault, V. Zanirato, M. Olivucci, and J. Helbing, Linear dichroism amplification: Adapting a long-known technique for ultrasensitive femtosecond IR spectroscopy, J. Chem. Phys. 134, 124516 (2011).
  5. G. van der Laan, B. T. Thole, G. A. Sawatzky, J. B. Goedkoop, J. C. Fuggle, J.-M. Esteva, R. Karnatak, J. P. Remeika, and H. A. Dabkowska, Experimental proof of magnetic X-ray dichroism, Phys. Rev. B 34, 6529 (1986).
  6. G. Schütz, W. Wagner, W. Wilhelm, P. Kienle, R. Zeller, R. Frahm, and G. Materlik, Absorption of circularly polarized X-rays in iron, Phys. Rev. Lett. 58, 737 (1987).
  7. S. Lovesey and S. Collins, X-ray Scattering and Absorption by Magnetic Materials, Oxford Series on Synchrotron Radiation (Clarendon Press, Oxford, 1996).
  8. J. Stöhr and H. C. Siegmann, Magnetism (Springer, Berlin, 2006).
  9. K. Szymański, Polarized radiation in Mössbauer spectroscopy, Phys. Rep. 423, 295 (2006).
  10. T. Mitsui, Y. Imai, R. Masuda, M. Seto, and K. Mibu, Fe57 polarization-dependent synchrotron Mössbauer-spectroscopy using a diamond phase plate and an iron borate nuclear Bragg-monochromator, J. Synchrotron Radiat. 22, 427 (2015).
  11. M. A. Andreeva, R. A. Baulin, O. V. Slinko, L. Häggström, V. E. Asadchikov, D. N. Karimov, B. S. Roshchin, D. A. Ponomarev, L. N. Romashev, A. I. Chumakov, D. Bessas, and R. Rüffer, Polarization selection in Mössbauer reflectivity for magnetic multilayer investigation, J. Phys.: Conf. Ser. 1389, 012016 (2019).
  12. B. Marx, K. S. Schulze, I. Uschmann, T. Kämpfer, R. Lötzsch, O. Wehrhan, W. Wagner, C. Detlefs, T. Roth, J. Härtwig, E. Förster, T. Stöhlker, and G. G. Paulus, High-precision X-ray polarimetry, Phys. Rev. Lett. 110, 254801 (2013).
  13. B. Marx-Glowna, I. Uschmann, K. S. Schulze, H. Marschner, H.-C. Wille, K. Schlage, T. Stöhlker, R. Röhlsberger, and G. G. Paulus, Advanced X-ray polarimeter design for nuclear resonant scattering, J. Synchrotron Radiat. 28, 120 (2021).
  14. K. S. Schulze, Fundamental limitations of the polarization purity of X-rays, APL Photon. 3, 126106 (2018).
  15. D. P. Siddons, M. Hart, Y. Amemiya, and J. B. Hastings, X-ray optical activity and the Faraday effect in cobalt and its compounds, Phys. Rev. Lett. 64, 1967 (1990).
  16. M. Hart, D. P. Siddons, Y. Amemiya, and V. Stojanoff, Tunable X‐ray polarimeters for synchrotron radiation sources, Rev. Sci. Instrum. 62, 2540 (1991).
  17. A. T. Schmitt, Y. Joly, K. S. Schulze, B. Marx-Glowna, I. Uschmann, B. Grabiger, H. Bernhardt, R. Loetzsch, A. Juhin, J. Debray, H.-C. Wille, H. Yavas, G. G. Paulus, and R. Röhlsberger, Disentangling X-ray dichroism and birefringence via high-purity polarimetry, Optica 8, 56 (2021).
  18. T. S. Toellner, E. E. Alp, W. Sturhahn, T. M. Mooney, X. Zhang, M. Ando, Y. Yoda, and S. Kikuta, Polarizer/analyzer filter for nuclear resonant scattering of synchrotron radiation, Appl. Phys. Lett. 67, 1993 (1995).
  19. D. Siddons, J. Hastings, U. Bergmann, F. Sette, and M. Krisch, Mössbauer spectroscopy using synchrotron radiation: Overcoming detector limitations, Nucl. Instrum. Methods Phys. Res. Sect. B 103, 371 (1995).
  20. R. Röhlsberger, E. Gerdau, R. Rüffer, W. Sturhahn, T. Toellner, A. Chumakov, and E. Alp, X-ray optics for µeV-resolved spectroscopy, Nucl. Instrum. Methods Phys. Res. Sect. A 394, 251 (1997).
  21. E. Alp, W. Sturhahn, and T. Toellner, Polarizer–analyzer optics, Hyperfine Interact. 125, 45 (2000).
  22. K. P. Heeg, H.-C. Wille, K. Schlage, T. Guryeva, D. Schumacher, I. Uschmann, K. S. Schulze, B. Marx, T. Kämpfer, G. G. Paulus, R. Röhlsberger, and J. Evers, Vacuum-assisted generation and control of atomic coherences at X-Ray energies, Phys. Rev. Lett. 111, 073601 (2013).
  23. J. Haber, K. S. Schulze, K. Schlage, R. Loetzsch, L. Bocklage, T. Gurieva, H. Bernhardt, H.-C. Wille, R. Rüffer, I. Uschmann, G. G. Paulus, and R. Röhlsberger, Collective strong coupling of X-rays and nuclei in a nuclear optical lattice, Nat. Photon. 10, 445 (2016).
  24. B. Marx-Glowna, B. Grabiger, R. Lötzsch, I. Uschmann, A. T. Schmitt, K. S. Schulze, A. Last, T. Roth, S. Antipov, H.-P. Schlenvoigt, I. Sergueev, O. Leupold, R. Röhlsberger, and G. G. Paulus, Scanning high-sensitive X-ray polarization microscopy, New J. Phys. 24, 053051 (2022).
  25. R. Röhlsberger, Nuclear Condensed Matter Physics with Synchrotron Radiation, Springer Tracts in Modern Physics (Springer-Verlag, Berlin, 2004), Vol. 208.
  26. P. Gütlich, A. Hauser, and H. Spiering, Thermal and optical switching of iron(II) complexes, Angew. Chem. Int. Ed. Engl. 33, 2024 (1994).
  27. O. Kahn and C. J. Martinez, Spin-transition polymers: From molecular materials toward memory devices, Science 279, 44 (1998).
  28. P. Gütlich and H. A. Goodwin, Spin crossover—An overall perspective, in Spin Crossover in Transition Metal Compounds I, edited by P. Gütlich and H. Goodwin (Springer, Berlin, 2004), pp. 1–47.
  29. M. Halcrow, Spin-Crossover Materials: Properties and Applications (Wiley, Chichester, 2013).
  30. T. G. Gopakumar, F. Matino, H. Naggert, A. Bannwarth, F. Tuczek, and R. Berndt, Electron-induced spin crossover of single molecules in a bilayer on gold, Angew. Chem. Int. Ed. 51, 6262 (2012).
  31. E. Ruiz, Charge transport properties of spin crossover systems, Phys. Chem. Chem. Phys. 16, 14 (2014).
  32. N. Baadji and S. Sanvito, Giant resistance change across the phase transition in spin-crossover molecules, Phys. Rev. Lett. 108, 217201 (2012).
  33. J.-F. Létard, G. Chastanet, O. Nguyen, S. Marcén, M. Marchivie, P. Guionneau, D. Chasseau, and P. Gütlich, Spin crossover properties of the [Fe(PM−BiA)2(NCS)2] complex—Phases I and II, Monatsh. Chem. 134, 165 (2003).
  34. W. Nicolazzi and A. Bousseksou, Thermodynamical aspects of the spin crossover phenomenon, C. R. Chim. 21, 1060 (2018).
  35. http://photon-science.desy.de/facilities/petra_iii/beamlines/p01_dynamics/index_eng.html.
  36. S. Rackwitz, I. Faus, M. Schmitz, H. Kelm, H.-J. Krüger, K. K. Andersson, H.-P. Hersleth, K. Achterhold, K. Schlage, H.-C. Wille, V. Schünemann, and J. A. Wolny, A new sample environment for cryogenic nuclear resonance scattering experiments on single crystals and microsamples at P01, PETRA III, Hyperfine Interact. 226, 673 (2014).
  37. M. J. Frisch, G. W. Trucks, H. B. Schlegel, G. E. Scuseria, M. A. Robb, J. R. Cheeseman, G. Scalmani, V. Barone, B. Mennucci, G. A. Petersson, et al., Gaussian 09 Revision E.01, Gaussian Inc., Wallingford, CT, 2009.
  38. W. Sturhahn, CONUSS and PHOENIX: Evaluation of nuclear resonant scattering data, Hyperfine Interact. 125, 149 (2000).
  39. CONUSS is free software. It can be obtained via the software site http://www.nrixs.com.
  40. DFT calculations were performed using Gaussian09 [37] with the functional B3LYP and the basis CEP-31G. We used a model molecule (shown in Fig.  3) with one of the rings of biphenyl replaced with hydrogen in order to approximate the molecule with C2 symmetry (compare with Fig.  5).
  41. L. Scherthan, Polarimetrie mit resonanter Kernstreuung, Diploma Thesis, Technische Universität Kaiserslautern, Fachbereich Physik, 2016.
  42. M. Gerharz, W. Hippler, B. Marx-Glowna, S. Sadashivaiah, K. S. Schulze, I. Uschmann, R. Lötzsch, K. Schlage, S. Velten, D. Lentrodt, et al., Single-shot sorting of Mössbauer time-domain data at X-ray free electron lasers, arXiv:2509.15833.
  43. J.-F. Létard, P. Guionneau, L. Rabardel, J. A. K. Howard, A. E. Goeta, D. Chasseau, and O. Kahn, Structural, magnetic, and photomagnetic studies of a mononuclear iron(ii) derivative exhibiting an exceptionally abrupt spin transition. Light-induced thermal hysteresis phenomenon, Inorg. Chem. 37, 4432 (1998).
  44. J. Hannon and G. Trammell, Coherent γ-ray optics, Hyperfine Interact. 123, 127 (1999).
  45. D. Siddons, U. Bergmann, and J. Hastings, Polarization effects in resonant nuclear scattering, Hyperfine Interact. 123, 681 (1999).
  46. H. P. Gunnlaugsson, Spreadsheet based analysis of Mössbauer spectra, Hyperfine Interact. 237, 79 (2016).

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