Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

  • Article
  • Published:

Persistent compensated ferrimagnetism in the molecular framework Cr(pyrazine)3

Abstract

Molecular frameworks with ReO3- or perovskite-related topologies have been widely investigated for their structural versatility, yet examples displaying strong electronic and magnetic correlations have not been realized in such systems. Here we report the synthesis of Cr(pyrazine)3, a three-dimensional molecular framework adopting a cubic ReO3-type structure, in which Cr3+ ions are bridged exclusively by pyrazine radical anions. In Cr(pyrazine)3, antiferromagnetic coupling between the Cr3+ and radical sublattices, comparable in magnitude to that found in transition-metal oxides, leads to a nearly perfectly compensated ferrimagnetic ground state with an exceptionally small net magnetic moment. Owing to the symmetry and stoichiometry of the bipartite lattice, magnetic compensation persists over an extended temperature range rather than occurring only at a specific compensation temperature. Long-range magnetic order is observed well above room temperature, placing Cr(pyrazine)3 among the very few materials featuring robust compensated ferrimagnetism under ambient conditions.

The alternative text for this image may have been generated using AI.

This is a preview of subscription content, access via your institution

Access options

Buy this article

USD 39.95

Prices may be subject to local taxes which are calculated during checkout

Fig. 1: Structure of Cr(pyz)3.
The alternative text for this image may have been generated using AI.
Fig. 2: X-ray absorption spectroscopy.
The alternative text for this image may have been generated using AI.
Fig. 3: Magnetic properties of Cr(pyz)3.
The alternative text for this image may have been generated using AI.

Similar content being viewed by others

Data availability

All data are available in the main text, the Supplementary Information and in the Source Data files provided with this Paper. Crystallographic data for the structures reported in this Article have been deposited at the Cambridge Crystallographic Data Centre, under deposition nos. CCDC 2487374 (250 K) and 2487375 (120 K). Copies of the data can be obtained free of charge via https://www.ccdc.cam.ac.uk/structures/. Source data are provided with this Paper.

References

  1. Jiang, H., Alezi, D. & Eddaoudi, M. A reticular chemistry guide for the design of periodic solids. Nat. Rev. Mater. 6, 466–487 (2021).

  2. Boström, H. L. B. & Goodwin, A. L. Hybrid perovskites, metal-organic frameworks and beyond: unconventional degrees of freedom in molecular frameworks. Acc. Chem. Res. 54, 1288–1297 (2021).

    Article  PubMed  PubMed Central  Google Scholar 

  3. Li, H., Eddaoudi, M., O’Keeffe, M. & Yaghi, O. M. Design and synthesis of an exceptionally stable and highly porous metal–organic framework. Nature 402, 276–279 (1999).

    Article  CAS  Google Scholar 

  4. Evans, H. A., Wu, Y., Seshadri, R. & Cheetham, A. K. Perovskite-related ReO3-type structures. Nat. Rev. Mater. 5, 196–213 (2020).

    Article  CAS  Google Scholar 

  5. Thorarinsdottir, A. E. & Harris, T. D. Metal–organic framework magnets. Chem. Rev. 120, 8716–8789 (2020).

    Article  CAS  PubMed  Google Scholar 

  6. Coronado, E. Molecular magnetism: from chemical design to spin control in molecules, materials and devices. Nat. Rev. Mater. 5, 87–104 (2020).

    Article  Google Scholar 

  7. Coronado, E. & Mínguez Espallargas, G. Dynamic magnetic MOFs. Chem. Soc. Rev. 42, 1525–1539 (2013).

    Article  CAS  PubMed  Google Scholar 

  8. Verdaguer, M. & Girolami, G. S. in Magnetism: Molecules to Materials V (eds Miller, J. S. & Drillon, M.) 283–346 (Wiley, 2005).

  9. Miller, J. S. Magnetically ordered molecule-based materials. Chem. Soc. Rev. 40, 3266–3296 (2011).

    Article  CAS  PubMed  Google Scholar 

  10. Manriquez, J. M., Yee, G. T., McLean, R. S., Epstein, A. J. & Miller, J. S. A room-temperature molecular/organic-based magnet. Science 252, 1415–1417 (1991).

    Article  CAS  PubMed  Google Scholar 

  11. Park, J. G. et al. Permanent porosity in the room-temperature magnet and magnonic material V(TCNE)2. ACS Cent. Sci. 9, 777–786 (2023).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  12. Pedersen, K. S. et al. Formation of the layered conductive magnet CrCl2(pyrazine)2 through redox-active coordination chemistry. Nat. Chem. 10, 1056–1061 (2018).

    Article  CAS  PubMed  Google Scholar 

  13. Perlepe, P. et al. Metal-organic magnets with large coercivity and ordering temperatures up to 242 °C. Science 370, 587–592 (2020).

    Article  CAS  PubMed  Google Scholar 

  14. Huang, Y. et al. Chemical tuning meets 2D molecular magnets. Adv. Mater. 35, 2208919 (2023).

    Article  CAS  Google Scholar 

  15. Huang, Y. et al. Pressure-controlled magnetism in 2D molecular layers. Nat. Commun. 14, 3186 (2023).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  16. Voigt, L., Larsen, R. W., Kubus, M. & Pedersen, K. S. Zero-valent metals in metal-organic frameworks: fac-M(CO)3(pyrazine)3/2. Chem. Commun. 57, 3861 (2021).

    Article  CAS  Google Scholar 

  17. Kaim, W. The versatile chemistry of 1,4-diazines: organic, inorganic and biochemical aspects. Angew. Chem. Int. Ed. 22, 171–190 (1983).

    Article  Google Scholar 

  18. Aribot, F. et al. Molecular alloying drives valence change in a van der Waals antiferromagnet. Chem 11, 102557 (2025).

  19. Chatterji, T., Hansen, T. C., Brunelli, M. & Henry, P. F. Negative thermal expansion of ReO3 in the extended temperature range. Appl. Phys. Lett. 94, 241902 (2009).

    Article  Google Scholar 

  20. Scarborough, C. C., Sproules, S., Weyhermüller, T., DeBeer, S. & Wieghardt, K. Electronic and molecular structures of the members of the electron transfer series [Cr(tbpy)3]n (n = 3+, 2+, 1+, 0): an X-ray absorption spectroscopic and density functional theoretical study. Inorg. Chem. 50, 12446–12462 (2011).

    Article  CAS  PubMed  Google Scholar 

  21. Scarborough, C. C. et al. Scrutinizing low-spin Cr(II) complexes. Inorg. Chem. 51, 6969–6982 (2012).

    Article  CAS  PubMed  Google Scholar 

  22. Manson, J. L. et al. Long-range magnetic order in Mn[N(CN)2]2(pyz) {pyz) pyrazine}. Susceptibility, magnetization, specific heat, and neutron diffraction measurements and electronic structure calculations. J. Am. Chem. Soc. 123, 162–172 (2001).

    Article  CAS  PubMed  Google Scholar 

  23. Wang, X.-Y., Gan, L., Zhang, S.-W. & Gao, S. Perovskite-like metal formates with weak ferromagnetism and as precursors to amorphous materials. Inorg. Chem. 43, 4615–4625 (2004).

    Article  CAS  PubMed  Google Scholar 

  24. Pato-Doldán, B. et al. Magnetic transitions and isotropic versus anisotropic magnetic behaviour of [CH3NH3][M(HCOO)3] M = Mn2+, Co2+, Ni2+, Cu2+ metal-organic perovskites. J. Mater. Chem. C 4, 11164–11172 (2016).

    Article  Google Scholar 

  25. Zhao, X.-H. et al. Cation-dependent magnetic ordering and room-temperature bistability in azido-bridged perovskite-type compounds. J. Am. Chem. Soc. 135, 16006–16009 (2013).

    Article  CAS  PubMed  Google Scholar 

  26. Ferlay, S., Mallah, T., Ouahès, R., Veillet, P. & Verdaguer, M. A room-temperature organometallic magnet based on Prussian blue. Nature 378, 701–703 (1995).

    Article  CAS  Google Scholar 

  27. Holmes, S. M. & Girolami, G. S. Sol-gel synthesis of KVII[CrIII(CN)6]·2H2O: a crystalline molecule-based magnet with a magnetic ordering temperature above 100 °C. J. Am. Chem. Soc. 121, 5593–5594 (1999).

    Article  CAS  Google Scholar 

  28. Hatlevik, Ø, Buschmann, W. E., Zhang, J., Manson, J. L. & Miller, J. S. Enhancement of the magnetic ordering temperature and air stability of a mixed valent vanadium hexacyanochromate(III) magnet to 99 °C (372 K). Adv. Mater. 11, 914–918 (1999).

    Article  CAS  Google Scholar 

  29. Schart, M. et al. Nonaqueous synthesis of low-vacancy chromium hexacyanochromate. Inorg. Chem. 63, 22856–22864 (2024).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  30. Lou, D. et al. Self-assembled tetranuclear square complex of chromium(III) bridged by radical pyrazine: a molecular model for metal-organic magnets. J. Am. Chem. Soc. 146, 19649–19653 (2024).

    Article  CAS  PubMed  Google Scholar 

  31. Bogdanov, N. A., Li Manni, G., Sharma, S., Gunnarsson, O. & Alavi, A. Enhancement of superexchange due to synergetic breathing and hopping in corner-sharing cuprate. Nat. Phys. 18, 190–195 (2022).

    Article  CAS  Google Scholar 

  32. Krockenberger, Y. et al. Sr2CrOsO6: end point of a spin-polarized metal-insulator transition by 5d band filling. Phys. Rev. B 75, 020404 (2007).

    Article  Google Scholar 

  33. Nayak, A. K. et al. Design of compensated ferrimagnetic Heusler alloys for giant tunable exchange bias. Nat. Mater. 14, 679–684 (2015).

    Article  CAS  PubMed  Google Scholar 

  34. Kim, K.-J. et al. Fast domain wall motion in the vicinity of the angular momentum compensation temperature of ferrimagnets. Nat. Mater. 16, 1187–1192 (2017).

    Article  CAS  PubMed  Google Scholar 

  35. Kim, S. K. et al. Ferrimagnetic spintronics. Nat. Mater. 21, 24–34 (2022).

    Article  CAS  PubMed  Google Scholar 

  36. Néel, L. Propriétés magnétiques des ferrites; ferrimagnétisme et antiferromagnétisme. Ann. Phys. 3, 137–198 (1948).

    Article  Google Scholar 

  37. Finley, J. & Liu, L. Spintronics with compensated ferrimagnets. Appl. Phys. Lett. 116, 110501 (2020).

  38. Mathonière, C., Carling, S. G., Yusheng, D. & Day, P. Molecular-based mixed valency ferrimagnets (XR4)FeIIFeIII(C2O4)3 (X=N, P; R=n-propyl, n-butyl, phenyl): anomalous negative magnetisation in the tetra-n-butylammonium derivative. J. Chem. Soc. J. Chem. Soc. 1994, 1551–1552 (1994).

  39. Ohkoshi, S. -i, Abe, Y., Fujishima, A. & Hashimoto, K. Design and preparation of a novel magnet exhibiting two compensation temperatures based on molecular field theory. Phys. Rev. Lett. 82, 1285–1288 (1999).

    Article  CAS  Google Scholar 

  40. Stinshoff, R. et al. Completely compensated ferrimagnetism and sublattice spin crossing in the half-metallic Heusler compound Mn1.5FeV0.5Al. Phys. Rev. B 95, 060410(R) (2017).

    Article  Google Scholar 

  41. Dunstan, M. A. et al. Tunable valence tautomerism in lanthanide–organic alloys. Nat. Chem. 16, 735–740 (2024).

    Article  CAS  PubMed  Google Scholar 

  42. Park, J. G. et al. Magnetic ordering through itinerant ferromagnetism in a metal–organic framework. Nat. Chem. 13, 594–598 (2021).

    Article  CAS  PubMed  Google Scholar 

  43. Creutz, C. & Taube, H. Direct approach to measuring the Franck-Condon barrier to electron transfer between metal ions. J. Am. Chem. Soc. 91, 3988–3989 (1969).

    Article  CAS  Google Scholar 

  44. Perlepe, P. et al. From an antiferromagnetic insulator to a strongly correlated metal in square-lattice MCl2(pyrazine)2 coordination solids. Nat. Commun. 13, 5766 (2022).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  45. Carlucci, L., Ciani, G., Proserpio, D. M. & Sironi, A. Novel networks of unusually coordinated silver(I) cations: the wafer-like structure of [Ag(pyz)2][Ag2(pyz)5](PF6)3·2G and the simple cubic frame of [Ag(pyz)3](SbF6). Angew. Chem. Int. Ed. 34, 1895–1898 (1995).

    Article  CAS  Google Scholar 

  46. Bola, J. S. et al. Fabrication method, ferromagnetic resonance spectroscopy and spintronics devices based on the organic-based ferrimagnet vanadium tetracyanoethylene. Adv. Funct. Mater. 31, 2100687 (2021).

    Article  CAS  Google Scholar 

  47. Murphy, R. A. et al. Electrodeposition of magnonic V(tetracyanoethylene)2 thin films. J. Am. Chem. Soc. 147, 19157–19165 (2025).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  48. CrysAlisPro (Agilent Technologies, 2014).

  49. Sheldrick, G. M. SHELXT—integrated space-group and crystal-structure determination. Acta Crystallogr. A 71, 3–8 (2015).

    Article  Google Scholar 

  50. Sheldrick, G. M. Crystal structure refinement with SHELXL. Acta Crystallogr. C 71, 3–8 (2015).

    Article  Google Scholar 

  51. Dolomanov, O. V., Bourhis, L. J., Gildea, R. J., Howard, J. A. K. & Puschmann, H. OLEX2: a complete structure solution, refinement and analysis program. J. Appl. Crystallogr. 42, 339–341 (2009).

    Article  CAS  Google Scholar 

  52. Puente Orench, I. et al. The new powder diffractometer D1B of the Institut Laue Langevin. J. Phys. Conf. Ser. 549, 012003 (2014).

    Article  Google Scholar 

  53. Richard, D., Ferrand, M. & Kearley, G. J. Analysis and visualisation of neutron-scattering data. J. Neutron Res. 4, 33–39 (1996).

    Article  Google Scholar 

  54. Degen, T., Sadki, M., Bron, E., König, U. & Nénert, G. The HighScore suite. Powder Diffr. 29, S13–S18 (2014).

  55. Neese, F. Software update: the ORCA program system—version 5. WIRES Comput. Mol. Sci. 12, e1606 (2022).

    Article  Google Scholar 

  56. Schattenberg, C. J., Lehmann, M., Bühl, M. & Kaupp, M. Systematic evaluation of modern density functional methods for the computation of NMR shifts of 3d transition-metal nuclei. J. Chem. Theory Comput. 18, 273–292 (2022).

    Article  CAS  PubMed  Google Scholar 

  57. van Lenthe, E., Snijders, J. G. & Baerends, E. J. The zero-order regular approximation for relativistic effects: the effect of spin-orbit coupling in closed shell molecules. J. Chem. Phys. 105, 6505–6516 (1996).

    Article  Google Scholar 

  58. Neese, F. An improvement of the resolution of the identity approximation for the formation of the Coulomb matrix. J. Comput. Chem. 24, 1740–1747 (2003).

    Article  CAS  PubMed  Google Scholar 

  59. Kresse, G. & Furthmüller, J. Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set. Phys. Rev. B 54, 11169–11186 (1996).

    Article  CAS  Google Scholar 

  60. Kresse, G. & Furthmüller, J. Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set. Comput. Mater. Sci. 6, 15–50 (1996).

    Article  CAS  Google Scholar 

  61. Perdew, J. P., Burke, K. & Ernzerhof, M. Generalized gradient approximation made simple. Phys. Rev. Lett. 77, 3865–3868 (1996).

    Article  CAS  PubMed  Google Scholar 

  62. Dudarev, S. L., Botton, G. A., Savrasov, S. Y., Humphreys, C. J. & Sutton, A. P. Electron-energy-loss spectra and the structural stability of nickel oxide: an LSDA + U study. Phys. Rev. B 57, 1505 (1998).

    Article  CAS  Google Scholar 

  63. Wang, L., Maxisch, T. & Ceder, G. Oxidation energies of transition metal oxides within the GGA + U framework. Phys. Rev. B 73, 195107 (2006).

    Article  Google Scholar 

  64. Krukau, A. V., Vydrov, O. A., Izmaylov, A. F. & Scuseria, G. E. Influence of the exchange screening parameter on the performance of screened hybrid functionals. J. Chem. Phys. 125, 224106 (2006).

    Article  PubMed  Google Scholar 

  65. Grimme, S., Antony, J., Ehrlich, S. & Krieg, S. A consistent and accurate ab initio parametrization of density functional dispersion correction (DFT-D) for the 94 elements H-Pu. J. Chem. Phys. 132, 154104 (2010).

    Article  PubMed  Google Scholar 

  66. Kresse, G. & Joubert, D. From ultrasoft pseudopotentials to the projector augmented-wave method. Phys. Rev. B 59, 1758–1775 (1999).

    Article  CAS  Google Scholar 

  67. Aribot, F., Dunstan, M. A., Pedersen, K. S. & Viborg, A. Probing ground states in intermediate valence Yb coordination systems by XMCD (European Synchrotron Radiation Facility, 2025); https://doi.org/10.15151/ESRF-ES-2225269117

  68. Dunstan, M. A., Nassif, V. & Pedersen, K. S. Magnetic structure determination of metal–organic Prussian blues. (Institut Laue-Langevin, 2025); https://doi.org/10.5291/ILL-DATA.5-31-3111

Download references

Acknowledgements

K.S.P. thanks the Villum Foundation for a VILLUM Young Investigator grant and a VILLUM Young Investigator+ (42094) grant, the Independent Research Fund Denmark for a DFF-Sapere Aude Starting Grant (0165-00073B), and the Carlsberg Foundation for a research infrastructure grant (CF17-0637). This work was supported by the Danish National Committee for Research Infrastructure (NUFI) through the ESS-Lighthouse Q-MAT. S.E.R.-L. acknowledges ANID Fondecyt grant no. 1220986. L.L.-P. was funded by the Postdoctoral Talent Attraction Competition for Research Centers and Institutes of the Universidad Andres Bello (UNAB) 2025, project no. DI-02-25/ATP. Powered@NLHPC research was partially supported by the supercomputing infrastructure of the NLHPC (CCSS210001). D.P. acknowledges financial support from the European Union within the Horizon Europe Framework Programme via ERC Consolidator Grant LUX-INVENTA (101045004). We acknowledge the Copenhagen Pulse-EPR Facility, financed by research grant NNF21OC0068806 Research Infrastructure – Large Equipment and Facilities 2021 from the Novo Nordisk Foundation. The X-ray spectroscopy experiments were performed at the ID12 beamline at the European Synchrotron Radiation Facility (Grenoble, France)67. Neutron diffraction experiments were performed at Institut Laue-Langevin (Grenoble, France)68. We thank the Technical University of Denmark for funding the DTU Electron Crystallography Facility, and the Danish Agency for Science, Technology, and Innovation for funding the instrument centre ‘Danscatt’.

Author information

Authors and Affiliations

Authors

Contributions

K.S.P. conceived and supervised the project. F.A. synthesized and chemically characterized the material. F.A., M.A.D. and M.K. performed the powder and single-crystal X-ray crystallographic analysis. K.S.P. and F.A. performed the magnetometry studies. N.J.Y., F.W., A.R., M.A.D., A.V., F.A. and K.S.P. performed and analysed the XAS experiments. D.P. obtained and analysed the differential scanning calorimetry data. D.P. and W.W. obtained and analysed the photomagnetization data. L.L.-P., S.E.R.-L. and J.B. performed the DFT computational studies. L.B.W., S.P. and S.M. obtained the EPR spectroscopic data. V.N., M.A.D., K.S.P. and M.K. obtained and analysed the neutron powder diffractograms. The manuscript was written by K.S.P., M.A.D. and F.A. through contributions from all authors. All authors have consented to publication of the manuscript.

Corresponding author

Correspondence to Kasper S. Pedersen.

Ethics declarations

Competing interests

The authors declare no competing interests.

Peer review

Peer review information

Nature Chemistry thanks Carlos Gómez-García and the other, anonymous, reviewer(s) for their contribution to the peer review of this work.

Additional information

Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Supplementary information

Supplementary Information (download PDF )

Supplementary Figs. 1–23, Tables 1 and 2 and text.

Supplementary Data 1 (download XLSX )

Source data for Supplementary Figs. 2–5, 11–16, 20 and 21.

Supplementary Data 2 (download TXT )

Atomic coordinates used for DFT calculations.

Source data

Source Data Fig. 2 (download XLSX )

X-ray absorption spectroscopy data.

Source Data Fig. 3 (download XLSX )

Magnetization data.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Aribot, F., Dunstan, M.A., Yutronkie, N.J. et al. Persistent compensated ferrimagnetism in the molecular framework Cr(pyrazine)3. Nat. Chem. (2026). https://doi.org/10.1038/s41557-026-02131-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Version of record:

  • DOI: https://doi.org/10.1038/s41557-026-02131-8

Search

Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing