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

Interaction of monoclinic ZrO2 grain boundaries with oxygen vacancies, Sn, and Nb: Implications for the corrosion of Zr alloy fuel cladding

M. S. Yankova1,2,* and C. P. Race2,3

  • *Contact author: maria.yankova@manchester.ac.uk

Phys. Rev. Materials 9, 073603 – Published 2 July, 2025

DOI: https://doi.org/10.1103/1jtz-zwd5

Abstract

We used density-functional-theory simulations to examine the structural and electronic properties of the Σ3180∘(100)[001] grain boundary in monoclinic ZrO2, which is a very low-energy (0.06Jm−2) twin boundary present in experimental oxide texture maps, with suggested special properties. This equilibrium structure was compared with a metastable structure (with a boundary energy of 0.32Jm−2). The interaction of oxygen vacancies, substitutional Sn and Nb defects (substituting host Zr sites) with both structures—and their effect on the boundary properties—were examined. We found that the equilibrium structure energetically favors VO2+ and NbZr2−, whereas the metastable structure favors VO2+ and SnZr2−. Tin was further found to bind strongly with oxygen vacancies in both structures and introduce gap states in the band gap of their electronic structure. SnZr2− was, however, found to increase the segregation preference of VO2+ for the metastable structure, which might contribute to increased oxygen and electron transport down this interface, and therefore other less special boundaries, compared to the equilibrium structure of the studied monoclinic twin boundary.

View figure in article

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (83)

  1. I. S. Woolsey and J. R. Morris, A study of Zircaloy-2 corrosion in high temperature water using ion beam methods, Corrosion 37, 575 (1981).
  2. B. Cox, Some thoughts on the mechanisms of in-reactor corrosion of zirconium alloys, J. Nucl. Mater. 336, 331 (2005).
  3. A. Yilmazbayhan, E. Breval, A. T. Motta, and R. J. Comstock, Transmission electron microscopy examination of oxide layers formed on Zr alloys, J. Nucl. Mater. 349, 265 (2006).
  4. J. P. Godlewski, J. P. Gros, M. Lambertin, J. F. Wadier, and H. Weidinger, Raman spectroscopy study of the tetragonal-to-monoclinic transition in zirconium oxide scales and determination of overall oxygen diffusion by nuclear analysis of O18, in Zirconium in the Nuclear Industry: Ninth International Symposium, edited by C. Eucken and A. Grade (ASTM International, West Conshohocken, PA, 1991).
  5. P. Barberis, Zirconia powders and Zircaloy oxide films: tetragonal phase evolution during 400∘C autoclave tests, J. Nucl. Mater. 226, 34 (1995).
  6. A. Motta, A. Yilmazbayhan, R. Comstock, J. Partezana, G. Sabol, B. Lai, and Z. Cai, Microstructure and growth mechanism of oxide layers formed on Zr alloys studied with micro-beam synchrotron radiation, J. ASTM Int. 2, 1 (2005).
  7. N. Ni, S. Lozano-Perez, J. Sykes, and C. Grovenor, Quantitative EELS analysis of zirconium alloy metal/oxide interfaces, Ultramicroscopy 111, 123 (2011).
  8. B. D. Gabory, A. T. Motta, and K. Wang, Transmission electron microscopy characterization of Zircaloy-4 and ZIRLOTM oxide layers, J. Nucl. Mater. 456, 272 (2015).
  9. P. Bouvier, J. Godlewski, and G. Lucazeau, A Raman study of the nanocrystallite size effect on the pressure–temperature phase diagram of zirconia grown by zirconium-based alloys oxidation, J. Nucl. Mater. 300, 118 (2002).
  10. A. Yilmazbayhan, A. T. Motta, R. J. Comstock, G. P. Sabol, B. Lai, and Z. Cai, Structure of zirconium alloy oxides formed in pure water studied with synchrotron radiation and optical microscopy: relation to corrosion rate, J. Nucl. Mater. 324, 6 (2004).
  11. W. Qin, C. Nam, H. Li, and J. Szpunar, Tetragonal phase stability in ZrO2 film formed on zirconium alloys and its effects on corrosion resistance, Acta Mater. 55, 1695 (2007).
  12. J. Wei, P. Frankel, E. Polatidis, M. Blat, A. Ambard, R. Comstock, L. Hallstadius, D. Hudson, G. Smith, C. Grovenor et al., The effect of Sn on autoclave corrosion performance and corrosion mechanisms in Zr–Sn–Nb alloys, Acta Mater. 61, 4200 (2013).
  13. A. Garner, J. Hu, A. Harte, P. Frankel, C. Grovenor, S. Lozano-Perez, and M. Preuss, The effect of Sn concentration on oxide texture and microstructure formation in zirconium alloys, Acta Mater. 99, 259 (2015).
  14. M. S. Yankova, A. Garner, F. Baxter, S. Armson, C. P. Race, M. Preuss, and P. Frankel, Untangling competition between epitaxial strain and growth stress through examination of variations in local oxidation, Nat. Commun. 14, 250 (2023).
  15. V. Y. Gertsman, A. P. Zhilyaev, and J. A. Szpunar, Grain boundary misorientation distributions in monoclinic zirconia, Modell. Simul. Mater. Sci. Eng. 5, 35 (1997).
  16. V. Y. Gertsman, Y. P. Lin, A. P. Zhilyaev, O. Hydro, and P. Northwest, Special grain boundaries in zirconia corrosion films, Philos. Mag. A 79, 1567 (1999).
  17. A. Garner, A. Gholinia, P. Frankel, M. Gass, I. MacLaren, and M. Preuss, The microstructure and microtexture of zirconium oxide films studied by transmission electron backscatter diffraction and automated crystal orientation mapping with transmission electron microscopy, Acta Mater. 80, 159 (2014).
  18. J. L. Whitton, The measurement of ionic mobilities in the anodic oxides of tantalum and zirconium by a precision sectioning technique, J. Electrochem. Soc. 115, 58 (1968).
  19. M. Kilo, R. A. Jackson, and G. Borchardt, Computer modelling of ion migration in zirconia, Philos. Mag. 83, 3309 (2003).
  20. U. Brossmann, R. Wurschum, U. Sodervall, and H.-E. Schaefer, Oxygen diffusion in ultrafine grained monoclinic ZrO2, J. Appl. Phys. 85, 7646 (1999).
  21. A. S. Foster, V. B. Sulimov, F. Lopez Gejo, A. L. Shluger, and R. M. Nieminen, Modelling of point defects in monoclinic zirconia, J. Non Cryst. Solids. 303, 101 (2002).
  22. A. Garner, F. Baxter, P. Frankel, M. Topping, A. Harte, T. Slater, P. Tejland, J. E. Romero, E. C. Darby, A. Cole-Baker et al., Investigating the effect of zirconium oxide microstructure on corrosion performance: A comparison between neutron, proton, and nonirradiated oxides, in Zirconium in the Nuclear Industry: 18th International Symposium, ASTM STP1597, edited by R. J. Comstock and A. T. Motta (ASTM International, West Conshohocken, PA, 2018).
  23. M. Lindgren and I. Panas, Confinement dependence of electro-catalysts for hydrogen evolution from water splitting, Beilstein J. Nanotechnol. 5, 195 (2014).
  24. P. Efsing and K. Pettersson, Delayed hydride cracking in irradiated zircaloy cladding, in Zirconium in the Nuclear Industry: Twelfth International Symposium, edited by G. Sabol and G. Moan (ASTM International, West Conshohocken, PA, 2000).
  25. T. Nishizaki, M. Okui, K. Kurosaki, M. Uno, S. Yamanaka, K. Takeda, and H. Anada, Electronic states of hydrogen in zirconium oxide, J. Alloys Compd. 330–332, 307 (2002).
  26. R. Nitsche, M. Rodewald, G. Skandan, H. Fuess, and H. Hahn, HRTEM study of nanocrystalline zirconium powders, Nanostruct. Mater. 7, 535 (1996).
  27. G. Sundell, M. Thuvander, A. K. Yatim, H. Nordin, and H.-O. Andrén, Direct observation of hydrogen and deuterium in oxide grain boundaries in corroded Zirconium alloys, Corros. Sci. 90, 1 (2015).
  28. J. An, J. S. Park, A. L. Koh, H. B. Lee, H. J. Jung, J. Schoonman, R. Sinclair, T. M. Gür, and F. B. Prinz, Atomic scale verification of oxide-ion vacancy distribution near a single grain boundary in YSZ, Sci. Rep. 3, 2680 (2013).
  29. A. G. Marinopoulos, First-principles study of hydrogen configurations at the core of a high-angle grain boundary in cubic yttria-stabilized zirconia, J. Phys.: Condens. Matter 26, 025502 (2014).
  30. K. McKenna and A. Shluger, The interaction of oxygen vacancies with grain boundaries in monoclinic HfO2, Appl. Phys. Lett. 95, 222111 (2009).
  31. M. Imaeda, T. Mizoguchi, Y. Sato, H.-S. Lee, S. D. Findlay, N. Shibata, T. Yamamoto, and Y. Ikuhara, Atomic structure, electronic structure, and defect energetics in [001](310)Σ5 grain boundaries of SrTiO3 and BaTiO3, Phys. Rev. B 78, 245320 (2008).
  32. K. P. McKenna and A. L. Shluger, First-principles calculations of defects near a grain boundary in MgO, Phys. Rev. B 79, 224116 (2009).
  33. A. T. Motta, A. Couet, and R. J. Comstock, Corrosion of zirconium alloys used for nuclear fuel cladding, Annu. Rev. Mater. Res. 45, 311 (2015).
  34. W. E. Berry, D. A. Vaughan, and E. L. White, Hydrogen pickup during aqueous corrosion of zirconium alloys, Corrosion 17, 81 (1961).
  35. A. M. Garde, S. R. Pati, M. A. Krammen, G. R. Smith, and R. K. Endter, Corrosion behavior of Zircaloy-4 cladding with varying tin content in high-temperature pressurized water reactors, in Zirconium in the Nuclear Industry: Tenth International Symposium, ASTM STP 1245, edited by A. M. Garde and E. Ross Bradley (American Society for Testing and Materials, Philadelphia, 1994), pp. 760–778.
  36. K. Takeda and H. Anadam, in Zitvonium in the Nuclear Industry: Twelfth International Symposium, ASTM STP1354, edited by G. P. Sabol and G. D. Moan (American Society for Testing and Materials, West Conshohocken, PA, 2000), pp. 592–608.
  37. D. E. Thomas, Corrosion in water and steam, in Metallurgy of Zirconium, edited by B. Lustman and E. Kerze (McGraw Hill, New York, 1955), pp. 608–640.
  38. H. Hulme, F. Baxter, R. P. Babu, M. A. Denecke, M. Gass, A. Steuwer, K. Norén, S. Carlson, and M. Preuss, An X-ray absorption near-edge structure (XANES) study of the Sn L3 edge in zirconium alloy oxide films formed during autoclave corrosion, Corros. Sci. 105, 202 (2016).
  39. D. Pecheur, V. E. Filippov, A. B. Bateev, and J. J. Ivanov, Mossbauer investigations of the chemical states of tin and iron atoms in zirconium alloy oxide film, in Zirconium in the Nuclear Industry: Thirteenth International Symposium, edited by G. Moan and P. Rudling (ASTM International, West Conshohocken, PA, 2002).
  40. X. Q. Cao, R. Vassen, and D. Stoever, Ceramic materials for thermal barrier coatings, J. Eur. Ceram. Soc. 24, 1 (2004).
  41. M. Laguna-Bercero, Recent advances in high temperature electrolysis using solid oxide fuel cells: A review, J. Power Sources 203, 4 (2012).
  42. A. Paulidou and R. M. Nix, Growth and characterisation of zirconia surfaces on Cu(111), Phys. Chem. Chem. Phys. 7, 1482 (2005).
  43. G. Sundell, M. Thuvander, and H. Andrén, Tin clustering and precipitation in the oxide during autoclave corrosion of Zircaloy-2, J. Nucl. Mater. 456, 409 (2015).
  44. B. Bell, S. Murphy, R. Grimes, and M. Wenman, The effect of Sn–VO defect clustering on Zr alloy corrosion, Corros. Sci. 141, 14 (2018).
  45. A. Couet, A. T. Motta, and A. Ambard, The coupled current charge compensation model for zirconium alloy fuel cladding oxidation: I. Parabolic oxidation of zirconium alloys, Corros. Sci. 100, 73 (2015).
  46. N. Ramasubramanian, P. Billot, and S. Yagnik, Hydrogen evolution and pickup during the corrosion of zirconium alloys: A critical evaluation of the solid state and porous oxide electrochemistry, in Zirconium in the Nuclear Industry: Thirteenth International Symposium, edited by G. Moan and P. Rudling (ASTM International, West Conshohocken, PA, 2002).
  47. P. Bossis, D. Pêcheur, K. Hanifi, J. Thomazet, and M. Blat, Comparison of the high burn-up corrosion on M5 and low tin Zircaloy-4, J. ASTM Int. 3, 1 (2006).
  48. A. Couet, A. Motta, and R. Comstock, Effect of alloying elements on hydrogen pick-up in zirconium alloys, in Zirconium in the Nuclear Industry: 17th International Symposium, edited by R. Comstock and P. Barberis (ASTM International, West Conshohocken, PA, 2014).
  49. A. Froideval, C. Degueldre, C. U. Segre, M. A. Pouchon, and D. Grolimund, Niobium speciation at the metal/oxide interface of corroded niobium-doped Zircaloys: A X-ray absorption near-edge structure study, Corros. Sci. 50, 1313 (2008).
  50. K. Sakamoto, K. Une, M. Aomi, T. Otsuka, and K. Hashizume, Change of chemical states of niobium in the oxide layer of zirconium–niobium alloys with oxide growth, J. Nucl. Sci. Technol. 52, 1259 (2015).
  51. A. Couet, A. T. Motta, B. De Gabory, and Z. Cai, Microbeam X-ray absorption near-edge spectroscopy study of the oxidation of Fe and Nb in zirconium alloy oxide layers, J. Nucl. Mater. 452, 614 (2014).
  52. B. D. Bell, S. T. Murphy, R. W. Grimes, and M. R. Wenman, The effect of Nb on the corrosion and hydrogen pick-up of Zr alloys, Acta Mater. 132, 425 (2017).
  53. B. D. C. Bell, S. T. Murphy, P. A. Burr, R. W. Grimes, and M. R. Wenman, Accommodation of tin in tetragonal ZrO2, J. Appl. Phys. 117, 084901 (2015).
  54. M. Youssef, M. Yang, and B. Yildiz, Doping in the valley of hydrogen solubility: A route to designing hydrogen-resistant zirconium alloys, Phys. Rev. Appl. 5, 014008 (2016).
  55. J. Yang, M. Youssef, and B. Yildiz, Oxygen self-diffusion mechanisms in monoclinic ZrO2 revealed and quantified by density functional theory, random walk analysis, and kinetic Monte Carlo calculations, Phys. Rev. B 97, 024114 (2018).
  56. M. Frechero, Paving the way to nanoionics: atomic origin of barriers for ionic transport through interfaces, Sci. Rep. 5, 17229 (2015).
  57. S. J. Clark, M. D. Segall, C. J. Pickard, P. J. Hasnip, M. I. J. Probert, K. Refson, and M. C. Payne, First principles methods using CASTEP, Z. Kristallogr. 220, 567 (2005).
  58. J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized gradient approximation made simple, Phys. Rev. Lett. 77, 3865 (1996).
  59. S. L. Dudarev, G. A. Botton, S. Y. Savrasov, C. J. Humphreys, and A. P. Sutton, Electron-energy-loss spectra and the structural stability of nickel oxide: An LSDA+U study, Phys. Rev. B 57, 1505 (1998).
  60. M. Cococcioni and S. de Gironcoli, Linear response approach to the calculation of the effective interaction parameters in the LDA + U method, Phys. Rev. B 71, 035105 (2005).
  61. G. Hautier, S. P. Ong, A. Jain, C. J. Moore, and G. Ceder, Accuracy of density functional theory in predicting formation energies of ternary oxides from binary oxides and its implication on phase stability, Phys. Rev. B 85, 155208 (2012).
  62. U. Otgonbaatar, W. Ma, M. Youssef, and B. Yildiz, Effect of niobium on the defect chemistry and oxidation kinetics of tetragonal ZrO2, J. Phys. Chem. C 118, 20122 (2014).
  63. H. J. Monkhorst and J. D. Pack, Special points for Brillouin-zone integrations, Phys. Rev. B 13, 5188 (1976).
  64. A. J. Morris, R. J. Nicholls, C. J. Pickard, and J. R. Yates, OptaDOS: A tool for obtaining density of states, core-level and optical spectra from electronic structure codes, Comput. Phys. Commun. 185, 1477 (2014).
  65. M. Rutter, C2x: A tool for visualisation and input preparation for Castep and other electronic structure codes, Comput. Phys. Commun. 225, 174 (2018).
  66. P. Pulay, Convergence acceleration of iterative sequences. the case of scf iteration, Chem. Phys. Lett. 73, 393 (1980).
  67. C. J. Howard, R. J. Hill, and B. E. Reichert, Structures of ZrO2 polymorphs at room temperature by high-resolution neutron powder diffraction, Acta Crystallogr. Sect. B: Struct. Sci. 44, 116 (1988).
  68. A. Kuwabara, T. Tohei, T. Yamamoto, and I. Tanaka, Ab initio lattice dynamics and phase transformations of ZrO2, Phys. Rev. B 71, 064301 (2005).
  69. J. E. Jaffe, R. A. Bachorz, and M. Gutowski, Low-temperature polymorphs of ZrO2 and HfO2: A density-functional theory study, Phys. Rev. B 72, 144107 (2005).
  70. V. Y. Gertsman, A. P. Zhilyaev, and J. Szpunar, Near coincidence site lattice misorientations in monoclinic zirconia, Scr. Mater. 35, 1247 (1996).
  71. H. Guhl, H.-S. Lee, P. Tangney, W. M. C. Foulkes, A. H. Heuer, T. Nakagawa, Y. Ikuhara, and M. W. Finnis, Structural and electronic properties of Σ7 grain boundaries in α−Al2O3, Acta Mater. 99, 16 (2015).
  72. See Supplemental Material at http://link.aps.org/supplemental/10.1103/1jtz-zwd5 for a γ surface of the Σ3 180° (100) [001] boundary and electronic structure properties of the metastable structure.
  73. N. A. Benedek, A. L. S. Chua, C. Elsässer, A. P. Sutton, and M. W. Finnis, Interatomic potentials for strontium titanate: An assessment of their transferability and comparison with density functional theory, Phys. Rev. B 78, 064110 (2008).
  74. A. Sutton and R. Balluffi, Overview no. 61 on geometric criteria for low interfacial energy, Acta Metall. 35, 2177 (1987).
  75. A. J. Plowman and C. P. Race, A first principles study of zirconium grain boundaries, J. Nucl. Mater. 568, 153853 (2022).
  76. F. Kröger and H. Vink, Relations between the concentrations of imperfections in crystalline solids, Solid State Phys. 3, 307 (1956).
  77. S. B. Zhang and J. E. Northrup, Chemical potential dependence of defect formation energies in GaAs: Application to Ga self-diffusion, Phys. Rev. Lett. 67, 2339 (1991).
  78. M. Y. M. Youssef, Predicting the equilibria of point defects in zirconium oxide: A route to understand the corrosion and hydrogen pickup of zirconium alloys, Ph.D. thesis, Massachusetts Institute of Technology, Cambridge, MA, 2014.
  79. J. A. Dean, Lange's Handbook of Chemistry, 15th ed. (McGraw-Hill, INC, New York, 1999).
  80. A. D. Becke, Density-functional thermochemistry. III. The role of exact exchange, J. Chem. Phys. 98, 5648 (1993).
  81. K. Momma and F. Izumi, VESTA3 for three-dimensional visualization of crystal, volumetric and morphology data, J. Appl. Crystallogr. 44, 1272 (2011).
  82. B. de Gabory, Y. Dong, A. T. Motta, and E. A. Marquis, EELS and atom probe tomography study of the evolution of the metal/oxide interface during zirconium alloy oxidation, J. Nucl. Mater. 462, 304 (2015).
  83. R. J. Nicholls, N. Ni, S. Lozano-Perez, A. London, D. W. McComb, P. D. Nellist, C. R. Grovenor, C. J. Pickard, and J. R. Yates, Crystal structure of the ZrO phase at zirconium/zirconium oxide interfaces, Adv. Eng. Mater. 17, 211 (2015).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation