- Open Access
Octahedral tilt relaxation decoupled from lattice parameters in epitaxial perovskite oxide films
Phys. Rev. Materials 10, 103601 – Published 5 October, 2026
DOI: https://doi.org/10.1103/72nx-sczv
Abstract
Epitaxial strain in perovskite oxide thin films is conventionally understood through lattice parameter modulation, characterized by the ratio of the pseudocubic cell. However, internal atomic arrangements such as octahedral tilting can relax independently, a phenomenon that has remained largely unexplored. Here, we demonstrate that electrochemical operation induces internal structural relaxation in epitaxial films while in-plane lattice parameters remain pinned to the substrate. Synchrotron x-ray diffraction reveals that prolonged electrochemical treatment drives the octahedral tilt mode from the as-grown strained configuration toward the bulk structure without conventional lattice parameter changes. This relaxation is enabled by ionic oxygen migration during electrochemical reactions, which reduces energy barriers between structural configurations. Our findings reveal a relaxation pathway in epitaxial oxides that operates independently of conventional lattice parameter relaxation, and demonstrate the importance of monitoring internal atomic arrangements under operating conditions. This establishes electrochemically driven ionic migration as a versatile tool for controlling internal structure in epitaxial oxides, opening opportunities for designing strain-engineered functional materials.
Physics Subject Headings (PhySH)
Article Text
Supplemental Material
References (57)
- D. G. Schlom, L.-Q. Chen, X. Pan, A. Schmehl, and M. A. Zurbuchen, A thin film approach to engineering functionality into oxides, J. Am. Ceram. Soc. 91, 2429 (2008).
- J. M. Rondinelli, S. J. May, and J. W. Freeland, Control of octahedral connectivity in perovskite oxide heterostructures: An emerging route to multifunctional materials discovery, MRS Bull. 37, 261 (2012).
- J. M. Rondinelli and N. A. Spaldin, Structure and properties of functional oxide thin films: Insights from electronic-structure calculations, Adv. Mater. 23, 3363 (2011).
- R. Ramesh and N. A. Spaldin, Multiferroics: Progress and prospects in thin films, Nat. Mater. 6, 21 (2007).
- J. W. Matthews and A. E. Blakeslee, Defects in epitaxial multilayers: I. Misfit dislocations, J. Cryst. Growth 27, 118 (1974).
- A. Herklotz, D. Lee, E.-J. Guo, T. L. Meyer, J. R. Petrie, and H. N. Lee, Strain coupling of oxygen non-stoichiometry in perovskite thin films, J. Phys.: Condens. Matter 29, 493001 (2017).
- H. Yamada, Y. Ogawa, Y. Ishii, H. Sato, M. Kawasaki, H. Akoh, and Y. Tokura, Engineered interface of magnetic oxides, Science 305, 646 (2004).
- Y. Konishi, Z. Fang, M. Izumi, T. Manako, M. Kasai, H. Kuwahara, M. Kawasaki, K. Terakura, and Y. Tokura, Orbital-state-mediated phase-control of manganites, J. Phys. Soc. Jpn. 68, 3790 (1999).
- J. Wang, J. B. Neaton, H. Zheng, V. Nagarajan, S. B. Ogale, B. Liu, D. Viehland, V. Vaithyanathan, D. G. Schlom, U. V. Waghmare, N. A. Spaldin, K. M. Rabe, M. Wuttig, and R. Ramesh, Epitaxial multiferroic thin film heterostructures, Science 299, 1719 (2003).
- S. Li, Y. Wang, M. Yang, S. Xu, M. Liu, Q. Li, J. Miao, E.-J. Guo, K. Jin, L. Gu, Q. Zhang, J. Deng, X. Chen, and X. Xing, Ferroelectricity in low-permittivity epitaxial films, Chem. Mater. 35, 2967 (2023).
- Q. Gan, R. A. Rao, C. B. Eom, J. L. Garrett, and M. Lee, Direct measurement of strain effects on magnetic and electrical properties of epitaxial thin films, Appl. Phys. Lett. 72, 978 (1998).
- Z. Weng, L. Liu, Y. Hu, Y. Wei, P. Da, Z. Wu, Z. Mu, P. Xi, and C.-H. Yan, Significance of engineering the octahedral units to promote the oxygen reduction reaction of perovskite oxides, Adv. Mater. 36, 2311102 (2024).
- W. Li, B. Zhu, R. Zhu, Q. Wang, P. Lu, Y. Sun, C. Cafolla, Z. Qi, A. Chen, P. Gao, H. Wang, Q. He, K. H. L. Zhang, and J. L. MacManus-Driscoll, Atomic-scale control of electronic structure and ferromagnetic insulating state in perovskite oxide superlattices by long-range tuning of octahedra, Adv. Funct. Mater. 30, 2001984 (2020).
- C. Ma, N. Lin, Z. Wang, S. Zhou, H. Yu, J. Lu, and H. Huang, Origin of spin-state crossover and electronic reconstruction at the surface of a nanoparticle, Phys. Rev. B 99, 115401 (2019).
- S. Li, J. Wang, Q. Zhang, M. A. Roldan, L. Shan, Q. Jin, S. Chen, Z. Wu, C. Wang, C. Ge, M. He, H. Guo, L. Gu, K.-J. Jin, and E.-J. Guo, Maximization of ferromagnetism in films by competing symmetry, Phys. Rev. Mater. 3, 114409 (2019).
- T. T. Fister, H. Zhou, Z. Luo, S. S. A. Seo, S. O. Hruszkewycz, D. L. Proffit, J. A. Eastman, P. H. Fuoss, P. M. Baldo, H. N. Lee, and D. D. Fong, Octahedral rotations in strained (001) heterostructures, APL Mater. 2, 021102 (2014).
- M. Brahlek, A. K. Choquette, C. R. Smith, R. Engel-Herbert, and S. J. May, Structural refinement of Pbnm-type perovskite films from analysis of half-order diffraction peaks, J. Appl. Phys. 121, 045303 (2017).
- S. J. May, J.-W. Kim, J. M. Rondinelli, E. Karapetrova, N. A. Spaldin, A. Bhattacharya, and P. J. Ryan, Quantifying octahedral rotations in strained perovskite oxide films, Phys. Rev. B 82, 014110 (2010).
- D. Kan, Y. Wakabayashi, H. Tajiri, and Y. Shimakawa, Interfacially engineered oxygen octahedral rotations and their impact on strain relief in coherently grown films, Phys. Rev. B 94, 024112 (2016).
- D. Kan, M. Anada, Y. Wakabayashi, H. Tajiri, and Y. Shimakawa, Oxygen octahedral distortions in compressively strained epitaxial thin films, J. Appl. Phys. 123, 235303 (2018).
- H. Meley, Karandeep, L. Oberson, J. de Bruijckere, D. T. L. Alexander, J.-M. Triscone, Ph. Ghosez, and S. Gariglio, Structural analysis of thin films under epitaxial strain, APL Mater. 6, 046102 (2018).
- Y. Heo, D. Kan, M. Anada, Y. Wakabayashi, H. Tajiri, and Y. Shimakawa, Correlations between oxygen octahedral distortions and magnetic and transport properties in strained thin films, Phys. Rev. B 99, 174420 (2019).
- J. Fowlie, C. Lichtensteiger, M. Gibert, H. Meley, P. Willmott, and J.-M. Triscone, Thickness-dependent perovskite octahedral distortions at heterointerfaces, Nano Lett. 19, 4188 (2019).
- L. Qiao, J. H. Jang, D. J. Singh, Z. Gai, H. Xiao, A. Mehta, R. K. Vasudevan, A. Tselev, Z. Feng, H. Zhou, S. Li, W. Prellier, X. Zu, Z. Liu, A. Borisevich, A. P. Baddorf, and M. D. Biegalski, Dimensionality controlled octahedral symmetry-mismatch and functionalities in epitaxial heterostructures, Nano Lett. 15, 4677 (2015).
- F. Izumisawa, Y. Ishii, M. Kimura, T. Katase, T. Kamiya, J.-i. Yamaura, and Y. Wakabayashi, Symmetry change in films caused by epitaxial strain from , and pseudocubic (001) surfaces, J. Appl. Phys. 136, 075303 (2024).
- L. Yan, H. Niu, C. A. Bridges, P. A. Marshall, J. Hadermann, G. van Tendeloo, P. R. Chalker, and M. J. Rosseinsky, Unit-cell-level assembly of metastable transition-metal oxides by pulsed-laser deposition, Angew. Chem. Int. Ed. 46, 4539 (2007).
- X. Chen, J. Yu, and S. B. Adler, Thermal and chemical expansion of Sr-doped lanthanum cobalt oxide (), Chem. Mater. 17, 4537 (2005).
- H. Fujii, Y. Wakabayashi, and T. Doi, Early stages of iron anodic oxidation: Defective growth and density increase of oxide layer, Phys. Rev. Mater. 4, 033401 (2020).
- J. K. Wenderott, T. Billo, and D. D. Fong, Epitaxial oxide ionotronics: Interfaces and oxygen vacancies, APL Mater. 12, 050901 (2024).
- R. Caciuffo, D. Rinaldi, G. Barucca, J. Mira, J. Rivas, M. A. Señarís-Rodríguez, P. G. Radaelli, D. Fiorani, and J. B. Goodenough, Structural details and magnetic order of (x 0. 3), Phys. Rev. B 59, 1068 (1999).
- X. Cheng, E. Fabbri, M. Nachtegaal, I. E. Castelli, M. El Kazzi, R. Haumont, N. Marzari, and T. J. Schmidt, Oxygen evolution reaction on perovskites: A combined experimental and theoretical study of their structural, electronic, and electrochemical properties, Chem. Mater. 27, 7662 (2015).
- P. M. Raccah and J. B. Goodenough, A localized-electron to collective-electron transition in the system (La, Sr), J. Appl. Phys. 39, 1209 (1968).
- M. Itoh, I. Natori, S. Kubota, and K. Motoya, Spin-glass behavior and magnetic phase diagram of () studied by magnetization measurements, J. Phys. Soc. Jpn. 63, 1486 (1994).
- K. Asai, O. Yokokura, N. Nishimori, H. Chou, J. M. Tranquada, G. Shirane, S. Higuchi, Y. Okajima, and K. Kohn, Neutron-scattering study of the spin-state transition and magnetic correlations in ( and 0.08), Phys. Rev. B 50, 3025 (1994).
- A. Grimaud, O. Diaz-Morales, B. Han, W. T. Hong, Y.-L. Lee, L. Giordano, K. A. Stoerzinger, M. T. M. Koper, and Y. Shao-Horn, Activating lattice oxygen redox reactions in metal oxides to catalyse oxygen evolution, Nat. Chem. 9, 457 (2017).
- M. L. Weber, G. Lole, A. Kormanyos, A. Schwiers, L. Heymann, F. D. Speck, T. Meyer, R. Dittmann, S. Cherevko, C. Jooss, C. Baeumer, and F. Gunkel, Atomistic insights into activation and degradation of electrocatalysts under oxygen evolution conditions, J. Am. Chem. Soc. 144, 17966 (2022).
- J. T. Mefford, X. Rong, A. M. Abakumov, W. G. Hardin, S. Dai, A. M. Kolpak, K. P. Johnston, and K. J. Stevenson, Water electrolysis on perovskite electrocatalysts, Nat. Commun. 7, 11053 (2016).
- X. Liu, L. Zhang, Y. Zheng, Z. Guo, Y. Zhu, H. Chen, F. Li, P. Liu, B. Yu, X. Wang, J. Liu, Y. Chen, and M. Liu, Uncovering the effect of lattice strain and oxygen deficiency on electrocatalytic activity of perovskite cobaltite thin films, Adv. Sci. 6, 1801898 (2019).
- C. Yang, C. Laberty-Robert, D. Batuk, G. Cibin, A. V. Chadwick, V. Pimenta, W. Yin, L. Zhang, J.-M. Tarascon, and A. Grimaud, Phosphate ion functionalization of perovskite surfaces for enhanced oxygen evolution reaction, J. Phys. Chem. Lett. 8, 3466 (2017).
- Y. Lu, A. Ma, Y. Yu, R. Tan, C. Liu, P. Zhang, D. Liu, and J. Gui, Engineering oxygen vacancies into perovskite for efficient electrocatalytic oxygen evolution, ACS Sustain. Chem. Eng. 7, 2906 (2019).
- Y. Matsumoto, H. Manabe, and E. Sato, Oxygen evolution on electrodes in alkaline solutions, J. Electrochem. Soc. 127, 811 (1980).
- Z. Shen, M. Qu, J. Shi, F. E. Oropeza, V. A. de la Peña O'Shea, G. Gorni, C. M. Tian, J. P. Hofmann, J. Cheng, J. Li, and K. H. L. Zhang, Correlating the electronic structure of perovskite with activity for the oxygen evolution reaction: The critical role of Co 3d hole state, J. Energy Chem. 65, 637 (2022).
- A. Fujisawa, X. Xu, Y. Ishii, H. Shimotani, Y. Inoue, Y. Miyahara, K. Miyazaki, and Y. Wakabayashi, Surface structure modulation of films on (001) substrate under electrochemical conditions, ACS Appl. Mater. Interfaces 17, 57603 (2025).
- M. Anada, Y. Nakanishi-Ohno, M. Okada, T. Kimura, and Y. Wakabayashi, Bayesian inference of metal oxide ultrathin film structure based on crystal truncation rod measurements, J. Appl. Crystallogr. 50, 1611 (2017).
- K. Nagai, M. Anada, Y. Nakanishi-Ohno, M. Okada, and Y. Wakabayashi, Robust surface structure analysis with reliable uncertainty estimation using the exchange Monte Carlo method, J. Appl. Crystallogr. 53, 387 (2020).
- A. M. Glazer, The classification of tilted octahedra in perovskites, Acta Crystallogr. Sect. B 28, 3384 (1972).
- A. M. Glazer, Simple ways of determining perovskite structures, Acta Crystallogr. A 31, 756 (1975).
- J. Walter, G. Yu, B. Yu, A. Grutter, B. Kirby, J. Borchers, Z. Zhang, H. Zhou, T. Birol, M. Greven, and C. Leighton, Ion-gel-gating-induced oxygen vacancy formation in epitaxial films from in operando x-ray and neutron scattering, Phys. Rev. Mater. 1, 071403 (2017).
- S. Zhang and G. Galli, Understanding the metal-to-insulator transition in and its applications for neuromorphic computing, npj Comput. Mater. 6, 170 (2020).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/72nx-sczv for the results of the position dependent XAS measurements.
- M. Kopecký, J. Fábry, and J. Kub, X-ray diffuse scattering in and model of atomic displacements, J. Appl. Crystallogr. 45, 393 (2012).
- A. Mineshige, M. Inaba, T. Yao, Z. Ogumi, K. Kikuchi, and M. Kawase, Crystal structure and metal–insulator transition of , J. Solid State Chem. 121, 423 (1996).
- A. Mineshige, M. Kobune, S. Fujii, Z. Ogumi, M. Inaba, T. Yao, and K. Kikuchi, Metal–insulator transition and crystal structure of as functions of Sr-content, temperature, and oxygen partial pressure, J. Solid State Chem. 142, 374 (1999).
- P. Radaelli and S.-W. Cheong, Structural phenomena associated with the spin-state transition in , Phys. Rev. B 66, 094408 (2002).
- T. Deguchi, T. Hara, Y. Ishii, H.-B. Li, A. N. Hattori, H. Tanaka, H. Sagayama, and Y. Wakabayashi, Long-period ordering induced by hydrogen doping in films on (001) substrates, Phys. Rev. B 113, 174113 (2026).
- M. Abbate, F. M. F. de Groot, J. C. Fuggle, A. Fujimori, O. Strebel, F. Lopez, M. Domke, G. Kaindl, G. A. Sawatzky, M. Takano, Y. Takeda, H. Eisaki, and S. Uchida, Controlled-valence properties of and studied by soft-x-ray absorption spectroscopy, Phys. Rev. B 46, 4511 (1992).
- M. C.Weber, M. Guennou, N. Dix, D. Pesquera, F. Sánchez, G. Herranz, J. Fontcuberta, L. López-Conesa, S. Estradé, F. Peiró, J. Iñiguez, and J. Kreisel, Multiple strain-induced phase transitions in thin films, Phys. Rev. B 94, 014118 (2016).