Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Structural and mechanical signatures of maximally amorphous transition metal alloys

Kristina Komander1, Johan Bylin1, Lennart Spode1, Tuan Tran1, Maciej Kaplan1, Sohal Sondarva1, Paulius Malinovskis1, Ralph H. Scheicher2, and Gunnar K. Pálsson1,*

  • 1Division of Materials Physics, Department of Physics and Astronomy, Uppsala University, Box 524, 751 20 Uppsala, Sweden
  • 2Division of Materials Theory, Department of Physics and Astronomy, Uppsala University, Box 524, 751 20 Uppsala, Sweden

  • *Contact author: gunnar.palsson@physics.uu.se

Phys. Rev. Materials 10, 065605 – Published 15 June, 2026

DOI: https://doi.org/10.1103/sq22-pp67

Abstract

We demonstrate that thin metallic glasses of VxZr100−x, deposited by direct current magnetron sputtering, closely approximate the structural characteristics of theoretically predicted maximally amorphous materials. Experimentally, x-ray reflectometry reveals atomically flat films with well-defined thickness and low surface roughness, while Rutherford backscattering spectrometry confirms V/Zr stochiometry within 1 at.% and a compact, systematically varying density with composition. Transmission electron microscopy shows no evidence of columnar growth, consistent with fully amorphous and homogeneous films. Using ab initio stochastic quenching to generate representative maximally amorphous configurations, we find excellent agreement with experiment in terms of mass density and pair distribution functions. The calculated structures are mechanically stable, elastically isotropic, and exhibit high Poisson ratios and Pugh ratios indicating a characteristically ductile response. The combination of compactness and ductility suggests potential for applications in mechanically resilient coatings and for hydrogen storage, where deformation tolerance and structural integrity are critical. The agreement between simulation and experiment across structural and compositional descriptors supports the conclusion that sputtered V–Zr metallic glasses can be viewed as experimental realizations of statistically maximally amorphous states within the framework of the random valley approximation. We propose such structures can serve as well defined benchmarks for the maximal degree of amorphousness.

View figure in article

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (40)

  1. C. A. Schuh, T. C. Hufnagel, and U. Ramamurty, Mechanical behavior of amorphous alloys, Acta Mater. 55, 4067 (2007).
  2. Q. Wang, Y. Yang, H. Jiang, C. T. Liu, H. H. Ruan, and J. Lu, Superior tensile ductility in bulk metallic glass with gradient amorphous structure, Sci. Rep. 4, 4757 (2014).
  3. G.-L. Zhao, Y. He, and W. Y. Ching, Theory of metallic glasses. II. transport and optical properties, Phys. Rev. B 42, 10887 (1990).
  4. L. S. S. Chandra, S. Paul, A. Khandelwal, V. Kaushik, A. Sagdeo, R. Venkatesh, K. Kumar, A. Banerjee, and M. K. Chattopadhyay, Structural and magnetic properties of the as-cast V1−xZrx alloy superconductors, J. Appl. Phys. 126, 183905 (2019).
  5. S. George, K. Kádas, P. E. Jönsson, G. Muscas, F. Magnus, O. Eriksson, A. Delin, and G. Andersson, Local structure in amorphous SmxCo1−x: A combined experimental and theoretical study, J. Mater. Sci. 55, 12488 (2020).
  6. B. Braeckman and D. Depla, On the amorphous nature of sputtered thin film alloys, Acta Mater. 109, 323 (2016).
  7. X. Mu, L. Chen, R. Mikut, H. Hahn, and C. Kübel, Unveiling local atomic bonding and packing of amorphous nanophases via independent component analysis facilitated pair distribution function, Acta Mater. 212, 116932 (2021).
  8. S. Hilke, H. Rösner, D. Geissler, A. Gebert, M. Peterlechner, and G. Wilde, The influence of deformation on the medium-range order of a Zr-based bulk metallic glass characterized by variable resolution fluctuation electron microscopy, Acta Mater. 171, 275 (2019).
  9. E. Holmström, N. Bock, T. B. Peery, R. Lizárraga, G. D. Lorenzi-Venneri, E. D. Chisolm, and D. C. Wallace, Ab initio method for locating characteristic potential-energy minima of liquids, Phys. Rev. E 80, 051111 (2009).
  10. E. Holmström, N. Bock, T. Peery, E. Chisolm, R. Lizárraga, G. D. Lorenzi-Venneri, and D. Wallace, Structure discovery for metallic glasses using stochastic quenching, Phys. Rev. B 82, 024203 (2010).
  11. A. Stern, S. Kreitzman, A. Resnik, D. Shaltiel, and V. Zevin, Thermal desorption spectra of hydrogen from the bulk: ZrV2Hx, Solid State Commun. 40, 837 (1981).
  12. A. Stern, A. Resnik, and D. Shaltiel, Thermal desorption spectra of hydrogen in HfV2Hx and ZrV2Hx, J. Less-Common Met. 88, 431 (1982).
  13. F. Trequattrini, F. Cordero, G. Cannelli, R. Cantelli, A. Coda, and A. Gallitognotta, Phase transitions and thermally activated hydrogen dynamics in ZrV2Hx (0≤x≤1) intermetallic compounds, J. Alloys Compd. 438, 190 (2007).
  14. A. Anani, A. Visintin, K. Petrov, S. Srinivasan, J. J. Reilly, J. R. Johnson, R. B. Schwarz, and P. B. Desch, Alloys for hydrogen storage in nickel/hydrogen and nickel/metal hydride batteries, J. Power Sources 47, 261 (1994).
  15. V. F. Sears, Neutron scattering lengths and cross sections, Neutron News 3, 26 (1992).
  16. D. King, S. Middleburgh, A. Liu, H. Tahini, G. Lumpkin, and M. Cortie, Formation and structure of V–Zr amorphous alloy thin films, Acta Mater. 83, 269 (2015).
  17. U. Herr and K. Samwer, Amorphization of the intermetallic compound V2Zr by ball milling, J. Non-Cryst. Solids 156-158, 608 (1993).
  18. S. Eickert, H. Hecht, and G. von Minnigerode, Formation area of amorphous thin V-Zr films prepared by cocondensation on hot substrates, Z. Phys. B 88, 35 (1992).
  19. P. Ström and D. Primetzhofer, Ion beam tools for nondestructive in-situ and in-operando composition analysis and modification of materials at the tandem laboratory in Uppsala, J. Instrum. 17, P04011 (2022).
  20. M. Mayer, Improved physics in SIMNRA 7, Nucl. Instrum. Methods Phys. Res. Sect. B 332, 176 (2014).
  21. J. F. Ziegler, M. Ziegler, and J. Biersack, SRIM–the stopping and range of ions in matter (2010), Nucl. Instrum. Methods Phys. Res. Sect. B 268, 1818 (2010).
  22. M. Moro, B. Bruckner, P. Grande, M. Tabacniks, P. Bauer, and D. Primetzhofer, Stopping cross section of vanadium for H+ and He+ ions in a large energy interval deduced from backscattering spectra, Nucl. Instrum. Methods Phys. Res. Sect. B 424, 43 (2018).
  23. M. Björck, Fitting with differential evolution: An introduction and evaluation, J. Appl. Crystallogr. 44, 1198 (2011).
  24. M. Björck and G. Andersson, GenX: An extensible x-ray reflectivity refinement program utilizing differential evolution, J. Appl. Crystallogr. 40, 1174 (2007).
  25. J. Bylin, V. Kapaklis, and G. K. Pálsson, Determining pair distribution functions of thin films using laboratory‐based x‐ray sources, J. Appl. Crystallogr. 57, 1373 (2024).
  26. W. Kohn and L. J. Sham, Self-consistent equations including exchange and correlation effects, Phys. Rev. 140, A1133 (1965).
  27. P. Hohenberg and W. Kohn, Inhomogeneous electron gas, Phys. Rev. 136, B864 (1964).
  28. J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized gradient approximation made simple, Phys. Rev. Lett. 77, 3865 (1996).
  29. G. Kresse and J. Hafner, Ab initio molecular dynamics for liquid metals, Phys. Rev. B 47, 558 (1993).
  30. G. Kresse and J. Furthmüller, Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set, Comput. Mater. Sci. 6, 15 (1996).
  31. F. Birch, Finite elastic strain of cubic crystals, Phys. Rev. 71, 809 (1947).
  32. S. Menon, G. D. Leines, and J. Rogal, pyscal: A Python module for structural analysis of atomic environments, J. Open Source Software 4, 1824 (2019).
  33. See Supplemental Material at http://link.aps.org/supplemental/10.1103/sq22-pp67 for figures of the delocalization artifact and HAADF-STEM analysis, which includes Ref. [40].
  34. J. A. Thornton, The microstructure of sputter-deposited coatings, J. Vac. Sci. Technol. A 4, 3059 (1986).
  35. T. Fukunaga, H. Watanabe, K. Itoh, T. Otomo, A. Mizuno, S. Kohara, A. Kato, and Y. Ikuhara, Voronoi analysis of the structure of Cu–Zr and Ni–Zr metallic glasses, Intermetallics 14, 893 (2006).
  36. G. Muscas, O. Hirsh, A. Błyźniuk, A. Juhin, M. Durasowa, and U. Wdowik, Unveiling the local structure of the amorphous metal Fe90Zr10 combining first-principles-based simulations and modelling of EXAFS spectra, Sci. Rep. 13, 4983 (2023).
  37. J. Bylin, P. Malinovskis, A. Devishvili, R. H. Scheicher, and G. K. Pálsson, Hydrogen-induced volume changes, dipole tensor, and elastic hydrogen-hydrogen interaction in a metallic glass, Phys. Rev. B 106, 104110 (2022).
  38. M. Kaplan, J. Bylin, P. Malinovskis, R. H. Scheicher, and G. K. Pálsson, Hydrogen-induced enhancement of thermal stability in VZr(H) metallic glasses, Materialia 24, 101496 (2022).
  39. K. Komander, P. Malinovskis, G. K. Pálsson, M. Wolff, and D. Primetzhofer, Accurate measurement of hydrogen concentration in transition metal hydrides utilizing electronic excitations by MeV ions, Int. J. Hydrogen Energy 57, 583 (2024).
  40. W. Coene and A. J. E. M. Jansen, Image delocalisation and high resolution transmission electron microscopic imaging with a field emission gun, Scanning Microsc. 1992, 379 (1992).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation