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Synthesis of hafnium superhydrides at megabar pressures
Phys. Rev. B 113, 224105 – Published 5 June, 2026
DOI: https://doi.org/10.1103/bjpf-6bt8
Abstract
Recent theories have predicted the existence of another class of hafnium superhydride with a two-dimensional layered structure and remarkable high- around 213–234 K at 250 GPa. Its structure contains a planar pentagraphenelike hydrogen sublattice, which does not resemble the discovered high- superconductors of covalent-bonded hydrogen structure of and clathrate-type structure of . Here, we present the synthesis of hafnium superhydrides by the direct chemical reaction of Hf and or with ammonia borane as the hydrogen source in laser-heated diamond anvil cells ranging from 200 to 302 GPa. Synchrotron x-ray diffraction data reveal the presence of previously predicted , Fddd-, and /m- phases, and a unique triclinic phase was identified. Unfortunately, no existence of the phase was detected in the studied pressure range. Electrical resistance measurements demonstrate the synthesized products exhibiting good metallic character and absence of superconductivity down to K. Theoretical calculations reveal the presence of the atomic H and molecular units within the structure of , which is mainly responsible for the low superconducting temperature.
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References (65)
- N. W. Ashcroft, Metallic hydrogen: A high-temperature superconductor? Phys. Rev. Lett. 21, 1748 (1968).
- M. I. Eremets, A. P. Drozdov, P. P. Kong, and H. Wang, Semimetallic molecular hydrogen at pressure above 350 GPa, Nat. Phys. 15, 1246 (2019).
- P. Loubeyre, R. LeToullec, D. Hausermann, M. Hanfland, R. J. Hemley, H. K. Mao, and L. W. Finger, X-ray diffraction and equation of state of hydrogen at megabar pressures, Nature (London) 383, 702 (1996).
- C. Ji, B. Li, W. Liu, J. S. Smith, A. Majumdar, W. Luo, R. Ahuja, J. Shu, J. Wang, S. Sinogeikin, Y. Meng, V. B. Prakapenka, E. Greenberg, R. Xu, X. Huang, W. Yang, G. Shen, W. L. Mao, and H.-K. Mao, Ultrahigh-pressure isostructural electronic transitions in hydrogen, Nature (London) 573, 558 (2019).
- N. W. Ashcroft, Hydrogen dominant metallic alloys: High temperature superconductors? Phys. Rev. Lett. 92, 187002 (2004).
- A. P. Drozdov, M. I. Eremets, I. A. Troyan, V. Ksenofontov, and S. I. Shylin, Conventional superconductivity at 203 kelvin at high pressures in the sulfur hydride system, Nature (London) 525, 73 (2015).
- H. Liu, I. I. Naumov, R. Hoffmann, N. W. Ashcroft, and R. J. Hemley, Potential high- superconducting lanthanum and yttrium hydrides at high pressure, Proc. Natl. Acad. Sci. USA 114, 6990 (2017).
- F. Peng, Y. Sun, C. J. Pickard, R. J. Needs, Q. Wu, and Y. Ma, Hydrogen clathrate structures in rare earth hydrides at high pressures: Possible route to room-temperature superconductivity, Phys. Rev. Lett. 119, 107001 (2017).
- X. Ye, N. Zarifi, E. Zurek, R. Hoffmann, and N. W. Ashcroft, High hydrides of scandium under pressure: Potential superconductors, J. Phys. Chem. C 122, 6298 (2018).
- C. Heil, S. di Cataldo, G. B. Bachelet, and L. Boeri, Superconductivity in sodalite-like yttrium hydride clathrates, Phys. Rev. B 99, 220502(R) (2019).
- D. C. Lonie, J. Hooper, B. Altintas, and E. Zurek, Metallization of magnesium polyhydrides under pressure, Phys. Rev. B 87, 054107 (2013).
- Z. Zhang, T. Cui, M. J. Hutcheon, A. M. Shipley, H. Song, M. Du, V. Z. Kresin, D. Duan, C. J. Pickard, and Y. Yao, Design principles for high-temperature superconductors with a hydrogen-based alloy backbone at moderate pressure, Phys. Rev. Lett. 128, 047001 (2022).
- Y. Sun, J. Lv, Y. Xie, H. Liu, and Y. Ma, Route to a superconducting phase above room temperature in electron-doped hydride compounds under high pressure, Phys. Rev. Lett. 123, 097001 (2019).
- K. P. Hilleke and E. Zurek, Rational design of superconducting metal hydrides via chemical pressure tuning, Angew. Chem. Int. Ed. 134, e202207589 (2022).
- Y. Sun, X. Li, T. Iitaka, H. Liu, and Y. Xie, Crystal structures and superconductivity of carbonaceous sulfur hydrides at pressures up to 300 GPa, Phys. Rev. B 105, 134501 (2022).
- M. Gubler, J. A. Flores-Livas, A. Kozhevnikov, and S. Goedecker, Missing theoretical evidence for conventional room-temperature superconductivity in low-enthalpy structures of carbonaceous sulfur hydrides, Phys. Rev. Mater. 6, 014801 (2022).
- T. Wang, M. Hirayama, T. Nomoto, T. Koretsune, R. Arita, and J. A. Flores-Livas, Absence of conventional room-temperature superconductivity at high pressure in carbon-doped , Phys. Rev. B 104, 064510 (2021).
- E. F. Talantsev, The electron-phonon coupling constant, Fermi temperature and unconventional superconductivity in the carbonaceous sulfur hydride 190 K superconductor, Supercond. Sci. Technol. 34, 034001 (2021).
- D. Duan, Y. Liu, F. Tian, D. Li, X. Huang, Z. Zhao, H. Yu, B. Liu, W. Tian, and T. Cui, Pressure-induced metallization of dense with high- superconductivity, Sci. Rep. 4, 6968 (2014).
- M. Einaga, M. Sakata, T. Ishikawa, K. Shimizu, M. I. Eremets, A. P. Drozdov, I. A. Troyan, N. Hirao, and Y. Ohishi, Crystal structure of the superconducting phase of sulfur hydride, Nat. Phys. 12, 835 (2016).
- V. S. Minkov, V. B. Prakapenka, E. Greenberg, and M. I. Eremets, A boosted critical temperature of 166 K in superconducting synthesized from elemental sulfur and hydrogen, Angew. Chem. Int. Ed. 59, 18970 (2020).
- V. S. Minkov, S. L. Bud'ko, F. F. Balakirev, V. B. Prakapenka, S. Chariton, R. J. Husband, H. P. Liermann, and M. I. Eremets, Magnetic field screening in hydrogen-rich high-temperature superconductors, Nat. Commun. 13, 3194 (2022).
- H. Wang, J. S. Tse, K. Tanaka, T. Iitaka, and Y. Ma, Superconductive sodalite-like clathrate calcium hydride at high pressures, Proc. Natl. Acad. Sci. USA 109, 6463 (2012).
- A. P. Drozdov, P. P. Kong, V. S. Minkov, S. P. Besedin, M. A. Kuzovnikov, S. Mozaffari, L. Balicas, F. F. Balakirev, D. E. Graf, V. B. Prakapenka, E. Greenberg, D. A. Knyazev, M. Tkacz, and M. I. Eremets, Superconductivity at 250 K in lanthanum hydride under high pressures, Nature (London) 569, 528 (2019).
- M. Somayazulu, M. Ahart, A. K. Mishra, Z. M. Geballe, M. Baldini, Y. Meng, V. V. Struzhkin, and R. J. Hemley, Evidence for superconductivity above 260 K in lanthanum superhydride at megabar pressures, Phys. Rev. Lett. 122, 027001 (2019).
- L. Ma, K. Wang, Y. Xie, X. Yang, Y. Wang, M. Zhou, H. Liu, X. Yu, Y. Zhao, H. Wang, G. Liu, and Y. Ma, High-temperature superconducting phase in clathrate calcium hydride up to 215 K at a pressure of 172 GPa, Phys. Rev. Lett. 128, 167001 (2022).
- Z. Li, X. He, C. Zhang, X. Wang, S. Zhang, Y. Jia, S. Feng, K. Lu, J. Zhao, J. Zhang, B. Min, Y. Long, R. Yu, L. Wang, M. Ye, Z. Zhang, V. Prakapenka, S. Chariton, P. A. Ginsberg, J. Bass, S. Yuan, H. Liu, and C. Jin, Superconductivity above 200 K discovered in superhydrides of calcium, Nat. Commun. 13, 2863 (2022).
- I. A. Troyan, D. V. Semenok, A. G. Kvashnin, A. V. Sadakov, O. A. Sobolevskiy, V. M. Pudalov, A. G. Ivanova, V. B. Prakapenka, E. Greenberg, A. G. Gavriliuk, I. S. Lyubutin, V. V. Struzhkin, A. Bergara, I. Errea, R. Bianco, M. Calandra, F. Mauri, L. Monacelli, R. Akashi, and A. R. Oganov, Anomalous high-temperature superconductivity in , Adv. Mater. 33, 2006832 (2021).
- P. Kong, V. S. Minkov, M. A. Kuzovnikov, A. P. Drozdov, S. P. Besedin, S. Mozaffari, L. Balicas, F. F. Balakirev, V. B. Prakapenka, S. Chariton, D. A. Knyazev, E. Greenberg, and M. I. Eremets, Superconductivity up to 243 K in the yttrium-hydrogen system under high pressure, Nat. Commun. 12, 5075 (2021).
- Y. Wang, K. Wang, Y. Sun, L. Ma, Y. Wang, B. Zou, G. Liu, M. Zhou, and H. Wang, Synthesis and superconductivity in yttrium superhydrides under high pressure, Chin. Phys. B 31, 106201 (2022).
- X. Li, X. Huang, D. Duan, C. J. Pickard, D. Zhou, H. Xie, Q. Zhuang, Y. Huang, Q. Zhou, B. Liu, and T. Cui, Polyhydride with an atomic-like hydrogen clathrate structure, Nat. Commun. 10, 3461 (2019).
- N. P. Salke, M. M. Davari Esfahani, Y. Zhang, I. A. Kruglov, J. Zhou, Y. Wang, E. Greenberg, V. B. Prakapenka, J. Liu, A. R. Oganov, and J.-F. Lin, Synthesis of clathrate cerium superhydride at 80–100 GPa with atomic hydrogen sublattice, Nat. Commun. 10, 4453 (2019).
- W. Chen, D. V. Semenok, X. Huang, H. Shu, X. Li, D. Duan, T. Cui, and A. R. Oganov, High-temperature superconducting phases in cerium superhydride with a up to 115 K below a pressure of 1 Megabar, Phys. Rev. Lett. 127, 117001 (2021).
- D. V. Semenok, A. G. Kvashnin, A. G. Ivanova, V. Svitlyk, V. Y. Fominski, A. V. Sadakov, O. A. Sobolevskiy, V. M. Pudalov, I. A. Troyan, and A. R. Oganov, Superconductivity at 161 K in thorium hydride : Synthesis and properties, Mater. Today 33, 36 (2020).
- D. Zhou, D. V. Semenok, D. Duan, H. Xie, W. Chen, X. Huang, X. Li, B. Liu, A. R. Oganov, and T. Cui, Superconducting praseodymium superhydrides, Sci. Adv. 6, eaax6849 (2020).
- D. Zhou, D. V. Semenok, H. Xie, X. Huang, D. Duan, A. Aperis, P. M. Oppeneer, M. Galasso, A. I. Kartsev, A. G. Kvashnin, A. R. Oganov, and T. Cui, High-pressure synthesis of magnetic neodymium polyhydrides, J. Am. Chem. Soc. 142, 2803 (2020).
- J. A. Flores-Livas, L. Boeri, A. Sanna, G. Profeta, R. Arita, and M. Eremets, A perspective on conventional high-temperature superconductors at high pressure: Methods and materials, Phys. Rep. 856, 1 (2020).
- E. Zurek and T. Bi, High-temperature superconductivity in alkaline and rare earth polyhydrides at high pressure: A theoretical perspective, J. Chem. Phys. 150, 050901 (2019).
- H. Xie, Y. Yao, X. Feng, D. Duan, H. Song, Z. Zhang, S. Jiang, Simon A. T. Redfern, V. Z. Kresin, C. J. Pickard, and T. Cui, Hydrogen pentagraphenelike structure stabilized by hafnium: A high-temperature conventional superconductor, Phys. Rev. Lett. 125, 217001 (2020).
- K. Gao, W. Cui, J. Chen, Q. Wang, J. Hao, J. Shi, C. Liu, S. Botti, Miguel A. L. Marques, and Y. Li, Superconducting hydrogen tubes in hafnium hydrides at high pressure, Phys. Rev. B 104, 214511 (2021).
- P. Tsuppayakorn-aek, N. Phaisangittisakul, R. Ahuja, and T. Bovornratanaraks, High-temperature superconductor of sodalite-like clathrate hafnium hexahydride, Sci. Rep. 11, 16403 (2021).
- D. V. Semenok, I. A. Kruglov, I. A. Savkin, A. G. Kvashnin, and A. R. Oganov, On distribution of superconductivity in metal hydrides, Curr. Opin. Solid State Mater. Sci. 24, 100808 (2020).
- M. A. Kuzovnikov and M. Tkacz, High-pressure synthesis of novel polyhydrides of Zr and Hf with a -type structure, J. Phys. Chem. C 123, 30059 (2019).
- C. L. Zhang, X. He, Z. W. Li, S. J. Zhang, B. S. Min, J. Zhang, K. Lu, J. F. Zhao, L. C. Shi, Y. Peng, X. C. Wang, S. M. Feng, R. C. Yu, L. H. Wang, V. B. Prakapenka, S. Chariton, H. Z. Liu, and C. Q. Jin, Superconductivity above 80 K in polyhydrides of hafnium, Mater. Today Phys. 27, 100826 (2022).
- Y. Akahama and H. Kawamura, Pressure calibration of diamond anvil Raman gauge to 310 GPa, J. Appl. Phys. 100, 043516 (2006).
- M. I. Eremets, Megabar high-pressure cells for Raman measurements, J. Raman Spectrosc. 34, 515 (2003).
- C. Prescher and V. B. Prakapenka, DIOPTAS: A program for reduction of two-dimensional X-ray diffraction data and data exploration, High. Press. Res. 35, 223 (2015).
- B. Toby, EXPGUI, a graphical user interface for GSAS, J. Appl. Cryst. 34, 210 (2001).
- Y. Wang, J. Lv, L. Zhu, and Y. Ma, Crystal structure prediction via particle-swarm optimization, Phys. Rev. B 82, 094116 (2010).
- Y. Wang, J. Lv, L. Zhu, and Y. Ma, CALYPSO: A method for crystal structure prediction, Comput. Phys. Commun. 183, 2063 (2012).
- G. Kresse and J. Furthmüller, Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set, Phys. Rev. B 54, 11169 (1996).
- J. P. Perdew and Y. Wang, Accurate and simple analytic representation of the electron-gas correlation energy, Phys. Rev. B 45, 13244 (1992).
- J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized gradient approximation made simple, Phys. Rev. Lett. 77, 3865 (1996).
- P. E. Blöchl, Projector augmented-wave method, Phys. Rev. B 50, 17953 (1994).
- P. Giannozzi, S. Baroni, N. Bonini, M. Calandra, R. Car, C. Cavazzoni, D. Ceresoli, G. L. Chiarotti, M. Cococcioni, I. Dabo, A. Dal Corso, S. de Gironcoli, S. Fabris, G. Fratesi, R. Gebauer, U. Gerstmann, C. Gougoussis, A. Kokalj, M. Lazzeri, L. Martin-Samos, N. Marzari, F. Mauri, R. Mazzarello, S. Paolini, A. Pasquarello, L. Paulatto, C. Sbraccia, S. Scandolo, G. Sclauzero, A. P. Seitsonen, A. Smogunov, P. Umari, and R. M. Wentzcovitch, QUANTUM ESPRESSO: A modular and open-source software project for quantum simulations of materials, J. Phys.: Condens. Matter 21, 395502 (2009).
- D. Vanderbilt, Soft self-consistent pseudopotentials in a generalized eigenvalue formalism, Phys. Rev. B 41, 7892 (1990).
- P. B. Allen and R. C. Dynes, Superconductivity at very strong coupling, J. Phys. C Solid State Phys. 8, L158 (1975).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/bjpf-6bt8 for the calculated lattice parameters and structure information of , as well as complementary figures.
- R. F. Karlak and D. S. Burnett, Quantitative phase analysis by x-ray diffraction, Anal. Chem. 38, 1741 (1966).
- C. R. Hubbard and R. L. Snyder, RIR—measurement and use in quantitative XRD, Powder Diffr. 3, 74 (1988).
- H. Xia, G. Parthasarathy, H. Luo, Y. K. Vohra, and A. L. Ruoff, Crystal structures of group IVa metals at ultrahigh pressures, Phys. Rev. B 42, 6736 (1990).
- R. Hrubiak, V. Drozd, A. Karbasi, and S. K. Saxena, High P-T phase transitions and P-V-T equation of state of hafnium, J. Appl. Phys. 111, 112612 (2012).
- F. Bloch, On Ohm's Law at low temperatures, Z. Physik 59, 208 (1930).
- E. Grüneisen, The dependence of the electrical resistance of pure metals on temperature, Ann. Phys. 408, 530 (1933).
- I. Osmond, O. Moulding, S. Cross, T. Muramatsu, A. Brooks, O. Lord, T. Fedotenko, J. Buhot, and S. Friedemann, Clean-limit superconductivity in synthesized from sulfur and hydrogen donor ammonia borane, Phys. Rev. B 105, L220502 (2022).