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Self-organized vacancy order in Pr9Ge16

Jayashani S. T. Wickramasinghe1, Melissa G. Anderson2, Kelci Graville1, Gregory T. McCandless2, Zachary J. Morgan3, Brianna R. Billingsley4, Tai Kong4, Hyunsoo Kim1,5, Aleksandr V. Chernatynskiy1 et al.

Simon G. Mitchell6, Liang Wu6, Julia Y. Chan2, Feng Ye3, and Halyna Hodovanets1,5,*

  • *Contact author: halyna.hodovanets@mst.edu

Phys. Rev. Materials 10, 084401 – Published 5 August, 2026

DOI: https://doi.org/10.1103/1jfr-6fkb

Abstract

In this work, we report the discovery of a new crystal structure on the Ge-rich side of the Pr-Ge binary phase diagram. Using a high-temperature flux technique, we grew single crystals of Pr9Ge16, which adopt a previously unreported orthorhombic Fdd2 structure type featuring ordered Ge vacancies. We present the anisotropic magnetic properties and identify the crystallographic b axis perpendicular to the crystal plane as the magnetic easy axis. Temperature-dependent resistivity measurements reveal metallic behavior with a distinct anomaly at TC = 14.3 K. Hall resistivity data indicate that electronlike carriers dominate, with a carrier concentration on the order of 1027m3. The magnetic order is readily suppressed by a magnetic field of approximately 0.4 T applied along the easy b axis.

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References (38)

  1. S. Bobev, E. D. Bauer, J. D. Thompson, J. L. Sarrao, G. J. Miller, B. Eck, and R. Dronskowski, Metallic behavior of the Zintl phase EuGe2: Combined structural studies, property measurements, and electronic structure calculations, J. Solid State Chem. 177, 3545 (2004).
  2. P. H. Tobash, D. Lins, S. Bobev, N. Hur, J. D. Thompson, and J. L. Sarrao, Vacancy ordering in SmGe2x and GdGe2x (x = 0.33): Structure and properties of two Sm3Ge5 polymorphs and of Gd3Ge5, Inorg. Chem. 45, 7286 (2006).
  3. J. Zhang, P. H. Tobash, W. D. Pryz, D. J. Buttey, N. Hur, J. D. Thompson, J. L. Sarrao, and S. Bobev, Synthesis, structural characterization, and physical properties of the early rare-earth metal digermanides REGe2x (x1/4) [RE = La-Nd, Sm]. A case study of commensurately and incommensurately modulated structures, Inorg. Chem. 52, 953 (2013).
  4. P. Schobinger-Papamantellos, K. H. J. Buschow, and T. Janssen, Structures and magnetic properties of RMx compounds (R = rare earth, M = Ge or Si, 1.5x2) as observed by neutron diffraction, Phase Trans. 33, 133 (1991).
  5. B. T. Matthias, E. Corenzwit, and W. H. Zachariasen, Superconductivity and ferromagnetism in isomorphous compounds, Phys. Rev. 112, 89 (1958).
  6. K. Sekizawa, Magnetic and crystallographic studies on rare earth germanides, J. Phys. Soc. Jpn. 21, 1137 (1966).
  7. N. Boutarck, J. Pierre, B. Lambert-Andron, Ph. L'Heritiera, and R. Madar, Metallurgical and physical study of praseodymium disilicides and digermanides, J. Alloys Compd. 204, 251 (1994).
  8. K. T. Matsumoto, N. Morioka, and K. Hiraoka, Magnetic and thermodynamic properties of the Pr-based ferromagnet PrGe2δ, Physica B 533, 90 (2018).
  9. G. Venturini, I. Ijjaali, and B. Malaman, New ordered ThSi2-type derivatives in the light rare earths germanides: Crystal structure of Nd4Ge7, J. Alloys Compd. 289, 168 (1999).
  10. P. H. Tobash, G. DiFilippo, S. Bobev, N. Hur, J. D. Thompson, and J. L. Sarrao, Structure and properties of Gd3Ge4: The orthorhombic RE3Ge4 structures revisited (RE = Y, Tb-Tm), Inorg. Chem. 46, 8690 (2007).
  11. S. L. Bud'ko, H. Hodovanets, A. Panchula, R. Prozorov, and P. C. Canfield, Physical properties of CeGe2x (x = 0.24) single crystals, J. Phys.: Condens. Matter 26, 146005 (2014).
  12. A. B. Gokhale, A. Munitz, and G. J. Abbaschian, The Ge-Pr (germanium-praseodymium) system, Bull. Alloy Phase Diagrams 10, 241 (1989).
  13. P. C. Canfield, Solution growth of intermetallic single crystals: A beginner's guide, Properties and Applications of Complex Intermetallics (World Scientific, 2009), pp. 93–111.
  14. P. C. Canfield and Z. Fisk, Growth of single crystals from metallic fluxes, Philos. Mag. B 65, 1117 (1992).
  15. P. C. Canfield and T. J. Slade, Use of frit-disc crucible sets to make solution growth more quantitative and versatile, Z. Anorg. Allg. Chem. 651, e202500007 (2025).
  16. P. C. Canfield, T. Kong, U. S. Kaluarachchi, and N. H. Jo, Use of frit-disc crucibles for routine and exploratory solution growth of single crystalline samples, Philos. Mag. 96, 84 (2016).
  17. Rigaku Oxford Diffraction, CrysAlisPro (Rigaku Corporation, Oxford, UK, 2021), version 1.171.41.118a.
  18. A. J. Schultz, M. R. V. Jørgensen, X. Wang, R. L. Mikkelson, D. J. Mikkelson, V. E. Lynch, P. F. Peterson, M. L. Green, and C. M. Hoffmann, Integration of neutron time-of-flight single-crystal Bragg peaks in reciprocal space, J. Appl. Crystallogr. 47, 915 (2014).
  19. J. Zikovsky, P. F. Peterson, X. P. Wang, M. Frost, and C. Hoffmann, CrystalPlan: An experiment-planning tool for crystallography, J. Appl. Crystallogr. 44, 418 (2011).
  20. T. M. Michels-Clark, A. T. Savici, V. E. Lynch, X. Wang, and C. M. Hoffmann, Expanding Lorentz and spectrum corrections to large volumes of reciprocal space for single-crystal time-of-flight neutron diffraction, J. Appl. Crystallogr. 49, 497 (2016).
  21. O. Arnold, J. C. Bilheux, J. M. Borreguero, A. Buts, S. I. Campbell, L. Chapon, M. Doucet, N. Draper, R. Ferraz Leal, M. A. Gigg, V. E. Lynch, A. Markvardsen, D. J. Mikkelson, R. L. Mikkelson, R. Miller, K. Palmen, P. Parker, G. Passos, T. G. Perring, P. F. Peterson, et al., Mantid—Data analysis and visualization package for neutron scattering and μSR experiments, Nucl. Instrum. Methods Phys. Res. Sect. A 764, 156 (2014).
  22. R. S. Kozak and R. E. Gladyshevskii, Structural properties of PrAg2PrAl2PrGe2 compounds at 873 K, Ukr. Khim. Zh. 76, 14 (2010).
  23. P. Schobinger-Papamantellos, D. B. de Mooij, and K. H. J. Buschow, Modulated structure and ferromagnetic ordering in PrGe1.60 studied by neutron diffraction and magnetic measurements, J. Magn. Magn. Mater. 89, 47 (1990).
  24. O. Shcherban, I. Savysyuk, N. Semuso, R. Gladyshevskii, and K. Cenzual, Crystal structure of the compound Pr4Ge7, Chem. Met. Alloys 2, 115 (2009).
  25. S. Parsons, Introduction to twinning, Acta Crystallogr. D 59, 1995 (2003).
  26. E. R. Callen and H. B. Callen, Anisotropic magnetization, J. Phys. Chem. Solids 16, 310 (1960).
  27. E. R. Callen, Anisotropic magnetization, J. Appl. Phys. 31, S149 (1960).
  28. E. R. Callen, Anisotropic Curie temperature, J. Appl. Phys. 32, S221 (1961).
  29. E. R. Callen, Anisotropic Curie temperature, Phys. Rev. 124, 1373 (1961).
  30. J. N. Armstrong, S. Z. Hua, and H. D. Chopra, Anisotropic Curie temperature materials, Phys. Status Solidi B 250, 387 (2013).
  31. A. V. Tarasov, D. Glazkova, S. Schulz, G. Poelchen, K. Kliemt, A. Kraiker, M. Muntwiler, C. Laubschat, A. Generalov, C. Polley, C. Krellner, D. V. Vyalikh, and D. Y. Usachov, Crystal electric field and properties of 4f magnetic moments at the surface of the rare-earth compound TbRh2Si2, Phys. Rev. B 106, 155136 (2022).
  32. Ł. Gondek, A. Szytuła, S. Baran, M. Rams, J. Hernandez-Velasco, and Y. Tyvanchuk, Magnetic structures of non-stoichiometric hexagonal RNi1xIn1+x (R = Dy, Ho, Er) compounds, J. Magn. Magn. Mater. 278, 392 (2004).
  33. P. Puphal, C. Mielke, N. Kumar, Y. Soh, T. Shang, M. Medarde, J. S. White, and E. Pomjakushina, Bulk single-crystal growth of the theoretically predicted magnetic Weyl semimetals RAlGe (R = Pr, Ce), Phys. Rev. Mater. 3, 024204 (2019).
  34. D. Destraz, L. Das, S. S. Tsirkin, Y. Xu, T. Neupert, J. Chang, A. Schilling, A. G. Grushin, J. Kohlbrecher, L. Keller, P. Puphal, E. Pomjakushina, and J. S. White, Magnetism and anomalous transport in the Weyl semimetal PrAlGe: Possible route to axial gauge fields, npj Quantum Mater. 5, 5 (2020).
  35. N. C. Drucker, T. Nguyen, F. Han, P. Siriviboon, X. Luo, N. Andrejevic, Z. Zhu, G. Bednik, Q. T. Nguyen, Z. Chen, L. K. Nguyen, T. Liu, T. J. Williams, M. B. Stone, A. I. Kolesnikov, S. Chi, J. Fernandez-Baca, C. S. Nelson, A. Alatas, T. Hogan, et al., Topology stabilized fluctuations in a magnetic nodal semimetal, Nat. Commun. 14, 5182 (2023).
  36. W. T. Jayasekara, W. Tian, H. Hodovanets, P. C. Canfield, S. L. Bud'ko, A. Kreyssig, and A. I. Goldman, Complex magnetic ordering in CeGe1.76 studied by neutron diffraction, Phys. Rev. B 90, 134423 (2014).
  37. H. Hodovanets, C. J. Eckberg, P. Y. Zavalij, H. Kim, W.-C. Lin, M. Zic, D. J. Campbell, J. S. Higgins, and J. Paglione, Single-crystal investigation of the proposed type-II Weyl semimetal CeAlGe, Phys. Rev. B 98, 245132 (2018).
  38. D. S. Sanchez, G. Chang, I. Belopolski, H. Lu, J.-X. Yin, N. Alidoust, X. Xu, T. A. Cochran, X. Zhang, Y. Bian, S. S. Zhang, Y.-Y. Liu, J. Ma, G. Bian, H. Lin, S.-Y. Xu, S. Jia, and M. Z. Hasan, Observation of Weyl fermions in a magnetic non-centrosymmetric crystal, Nat. Commun. 11, 3356 (2020).

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