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

Microscopic structure of stacking faults in Sr2NaNb5O15

Robin Sjökvist1, Yining Xie1, Zabeada Aslam2,3, Andy P. Brown2,3, Nicholas C. Bristowe4, Mark S. Senn5, and Richard Beanland1,*

  • *Contact author: r.beanland@warwick.ac.uk

Phys. Rev. Materials 10, 064404 – Published 8 June, 2026

DOI: https://doi.org/10.1103/snjy-yzgq

Abstract

Stacking faults and other topological defects in ferroics can have a significant influence on the electronic and mechanical properties of the material. Here, regular stacking faults in the tetragonal tungsten bronze material Sr2NaNb5O15 are investigated through transmission electron microscopy, symmetry mode analysis, and machine-learned force-field calculations. It is shown that the faults, with a fault vector of 14[2¯12]o, annihilate in sets of four in the material, owing to the ¼ unit cell displacement along the b-axis. The four resulting domains emerge as four possible directions of the S3 order parameter, related to NbO6 octahedral tilts in the material. Force-field calculations reveal that the stacking faults are likely placed at positions where the octahedra in neighboring domains have similar magnitudes of rotation, and that the estimated stacking fault energy is 46 mJ/m2. The investigation shows that the stacking faults have a local effect on the in-plane polar mode present in the structure, and therefore could affect the ferroelectric properties.

View figure in article

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (37)

  1. P. Si, P. Zheng, X. Zhang, C. Luo, X. Zheng, Q. Fan, W. Bai, J. Zhang, L. Zheng, and Y. Zhang, Synergistic modulation of ferroelectric polarization and relaxor behavior of Sr2NaNb5O15 -based tungsten bronze ceramic, Int. J. Appl. Ceram. Technol. 21, 532 (2024).
  2. Y. Dan, X. Zheng, Y. Meng, S. Wu, C. Hu, L. Liu, and L. Fang, Simultaneously achieving large energy storage density and high efficiency in the optimized Sr2NaNb5O15 system with excellent temperature stability at a low electric field, Ceram. Int. 50, 6801 (2024).
  3. K. Yu, X. Zhang, W. Zhong, P. Zheng, Q. Fan, L. Zheng, Y. Zhang, and W. Bai, Relaxor regulation and enhancement of energy storage properties in bi-modified Sr2NaNb5O15-based tetragonal tungsten bronze ceramics, J. Mater. Sci. Mater. Electron. 34, 2069 (2023).
  4. S. Xu, R. Hao, Z. Yan, S. Hou, Z. Peng, D. Wu, P. Liang, X. Chao, L. Wei, and Z. Yang, Enhanced energy storage properties and superior thermal stability in SNN-based tungsten bronze ceramics through substitution strategy, J. Eur. Ceram. Soc. 42, 2781 (2022).
  5. S. M. R. Billah, Dielectric Polymers, Functional Polymers (Springer International Publishing, Cham, Switzerland, 2019), pp. 1–49.
  6. T. Brown, A. P. Brown, D. A. Hall, T. E. Hooper, Y. Li, S. Micklethwaite, Z. Aslam, and S. J. Milne, New high temperature dielectrics: Bi-free tungsten bronze ceramics with stable permittivity over a very wide temperature range, J. Eur. Ceram. Soc. 41, 3416 (2021).
  7. L. Cao, Y. Yuan, E. Li, and S. Zhang, Relaxor regulation and improvement of energy storage properties of Sr2NaNb5O15-based tungsten bronze ceramics through B-site substitution, Chem. Eng. J. 421, 127846 (2021).
  8. J. P. Tidey, U. Dey, A. M. Sanchez, W.-T. Chen, B.-H. Chen, Y.-C. Chuang, M. T. Fernandez-Diaz, N. C. Bristowe, R. Beanland, and M. S. Senn, Structural origins of dielectric anomalies in the filled tetragonal tungsten bronze Sr2NaNb5O15, Commun. Mater. 5, 71 (2024).
  9. V. Krayzman, A. Bosak, H. Y. Playford, B. Ravel, and I. Levin, Incommensurate modulation and competing ferroelectric/antiferroelectric modes in tetragonal tungsten bronzes, Chem. Mater. 34, 9989 (2022).
  10. T. Woike, V. Petříček, M. Dušek, N. K. Hansen, P. Fertey, C. Lecomte, A. Arakcheeva, G. Chapuis, M. Imlau, and R. Pankrath, The modulated structure of Ba0.39Sr0.61Nb2O6. I. Harmonic solution, Acta Crystallogr. B 59, 28 (2003).
  11. Y. Ding, J. S. Liu, J. S. Zhu, and Y. N. Wang, Stacking faults and their effects on ferroelectric properties in strontium bismuth tantalate, J. Appl. Phys. 91, 2255 (2002).
  12. H. Ding, N. Hadaeghi, M. H. Zhang, T. S. Jiang, A. Zintler, L. Carstensen, Y. X. Zhang, H. J. Kleebe, H. B. Zhang, and L. Molina-Luna, Translational antiphase boundaries in NaNbO3 antiferroelectrics, ACS Appl. Mater. Interfaces 15, 59964 (2023).
  13. G. van Tendeloo, S. Amelinckx, C. Manolikas, and W. Shulin, The direct observation of “discommensurations” in barium sodium niobate (BSN) and its homologues, Phys. Status Solidi 91, 483 (1985).
  14. H. T. Stokes, D. M. Hatch, and J. Campbell B., ISODISTORT, ISOTROPY Software Suite, Iso.Byu.Edu, http://iso.byu.edu/isodistort.php.
  15. B. J. Campbell, H. T. Stokes, D. E. Tanner, and D. M. Hatch, ISODISPLACE: A web-based tool for exploring structural distortions, J. Appl. Crystallogr. 39, 607 (2006).
  16. 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).
  17. R. Jinnouchi, F. Karsai, and G. Kresse, On-the-fly machine learning force field generation: Application to melting points, Phys. Rev. B 100, 014105 (2019).
  18. See Supplemental Material at http://link.aps.org/supplemental/10.1103/snjy-yzgq for further details on the machine-learned force-fields, processing of HRTEM micrographs, atomic resolution STEM, atomic displacements, fault frequency, polar displacements and symmetry mode analysis, and 4D-STEM, which includes Refs.  [19, 20, 21].
  19. G. Kresse and D. Joubert, From ultrasoft pseudopotentials to the projector augmented-wave method, Phys. Rev. B 59, 1758 (1999).
  20. A. P. Bartók and G. Csányi, Gaussian approximation potentials: A brief tutorial introduction, Int. J. Quantum Chem. 115, 1051 (2015).
  21. A. P. Bartók, R. Kondor, and G. Csányi, On representing chemical environments, Phys. Rev. B 87, 184115 (2013).
  22. S. C. Chae, N. Lee, Y. Horibe, M. Tanimura, S. Mori, B. Gao, S. Carr, and S. W. Cheong, Direct observation of the proliferation of ferroelectric loop domains and vortex-antivortex pairs, Phys. Rev. Lett. 108, 167603 (2012).
  23. F. T. Huang, Y. Li, F. Xue, J. W. Kim, L. Zhang, M. W. Chu, L. Q. Chen, and S. W. Cheong, Evolution of topological defects at two sequential phase transitions of Nd2SrFe2O7, Phys. Rev. Res. 3, 023216 (2021).
  24. P. Hirel, P. Marton, M. Mrovec, and C. Elsässer, Theoretical investigation of {110} generalized stacking faults and their relation to dislocation behavior in perovskite oxides, Acta Mater. 58, 6072 (2010).
  25. M. J. Watts, S. R. Yeandel, R. Smith, J. M. Walls, and P. M. Panchmatia, Atomistic insights of multiple stacking faults in CdTe thin-film photovoltaics: A DFT study, in 2018 IEEE 7th World Conference on Photovoltaic Energy Conversion (WCPEC) (A Joint Conference of 45th IEEE PVSC, 28th PVSEC & 34th EU PVSEC) (IEEE, Hoes lane, Piscataway, New Jersey, 2018), pp. 3884–3887.
  26. Y. Wang, T. Wang, H. Arandiyan, G. Song, H. Sun, Y. Sabri, C. Zhao, Z. Shao, and S. Kawi, Advancing catalysts by stacking fault defects for enhanced hydrogen production: A review, Adv. Mater. 36, 2313378 (2024).
  27. T. Z. Khan, T. Kirk, G. Vazquez, P. Singh, A. V. Smirnov, D. D. Johnson, K. Youssef, and R. Arróyave, Towards stacking fault energy engineering in FCC high entropy alloys, Acta Mater. 224, 117472 (2022).
  28. J. Li et al., Nanoscale stacking fault–assisted room temperature plasticity in flash-sintered TiO2, Sci. Adv. 5, eaaw5519 (2019).
  29. R. W. Hertzberg, R. P. Vinci, and J. L. Hertzberg, Deformation and Fracture Mechanics of Engineering Materials (John Wiley & Sons Inc., Hoboken, NJ, USA, 2012).
  30. G. van Tendeloo, J. van Landuyt, P. Delavignette, and S. Amelinckx, Compositional changes associated with periodic antiphase boundaries in the initial stages of ordering in Ni3Mo. I. Crystallographic Analysis, Phys. Status Solidi 25, 697 (1974).
  31. G. van Tendeloo, P. Delavignette, R. Gevers, and S. Amelinckx, A study of dissociated antiphase boundaries in Ni3Mo, Phys. Status Solidi 18, 85 (1973).
  32. M. Lilienblum, T. Lottermoser, S. Manz, S. M. Selbach, A. Cano, and M. Fiebig, Ferroelectricity in the multiferroic hexagonal manganites, Nat. Phys. 11, 1070 (2015).
  33. M. E. Holtz, K. Shapovalov, J. A. Mundy, C. S. Chang, Z. Yan, E. Bourret, D. A. Muller, D. Meier, and A. Cano, Topological defects in hexagonal manganites: Inner structure and emergent electrostatics, Nano Lett. 17, 5883 (2017).
  34. S. J. McCartan, P. W. Turner, J. A. McNulty, J. R. Maguire, C. J. McCluskey, F. D. Morrison, J. M. Gregg, and I. Maclaren, Anisotropic, meandering domain microstructure in the improper ferroelectric CsNbW2O9, APL Mater. 8, 101108 (2020).
  35. G. F. Nataf, M. Guennou, J. M. Gregg, D. Meier, J. Hlinka, E. K. H. Salje, and J. Kreisel, Domain-wall engineering and topological defects in ferroelectric and ferroelastic materials, Nat. Rev. Phys. 2, 634 (2020).
  36. J. Seidel, Nanoelectronics based on topological structures, Nat. Mater. 18, 188 (2019).
  37. G. Ren, P. Omprakash, X. Li, Y. Yun, A. S. Thind, X. Xu, and R. Mishra, Polarization pinning at antiphase boundaries in multiferroic YbFeO3, Chin. Phys. B 33, 118502 (2024).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation