- Open Access
Oxygen defect formation and migration in : Insights from first principles DFT calculations with the functional
Phys. Rev. Materials 9, 105801 – Published 30 October, 2025
DOI: https://doi.org/10.1103/v8m7-prgq
Abstract
is a first-order Ruddlesden-Popper perovsike-type material, prospective as a positrode (O-electrode) material for solid oxide and protonic ceramic electrochemical cells. By means of , oxygen vacancies () and interstitials () have been modelled in a broad oxygen stoichiometry range of to 0.5. For each δ value, all symmetry inequivalent configurations were identified, yielding the formation energy in the range of 2.0–2.4 eV, almost independent of δ (unlike for simple perovskites). We assign the individual Fe charge states in (“oxidation state map”) based on magnetic moment and average Fe-O distance. Interestingly, and energetically prefer not to be nearest neighbors. Regarding oxygen interstitial species, a defect is the most stable form. Oxygen interstitial transport mechanism occurs predominantly within the SrO layer with the intermediate formation of a single oxide and an average barrier of 0.5 eV. Oxygen vacancy migration is preferred along a zig-zag path within the layer with an effective barrier of 0.6 eV. The comprehensive analysis of —serving as prototype also for higher Ruddlesden-Popper phases—including oxidation state map and oxygen defect migration, paves the way for coming investigations of the protonated materials.
Physics Subject Headings (PhySH)
Article Text
Supplemental Material
References (96)
- A. P. Tarutin, E. A. Filonova, S. Ricote, D. A. Medvedev, and Z. Shao, Chemical design of oxygen electrodes for solid oxide electrochemical cells: A guide, Sustain. Energy Technol. Assessments 57, 103185 (2023).
- J. Cao, Y. Ji, and Z. Shao, Perovskites for protonic ceramic fuel cells: A review, Energy Environ. Sci. 15, 2200 (2022).
- M. Papac, V. Stevanović, A. Zakutayev, and R. O’Hayre, Triple ionic–electronic conducting oxides for next-generation electrochemical devices, Nat. Mater. 20, 301 (2021).
- R. Merkle, M. F. Hoedl, G. Raimondi, R. Zohourian, and J. Maier, Oxides with mixed protonic and electronic conductivity, Annu. Rev. Mater. Res. 51, 461 (2021).
- S. N. Ruddlesden and P. Popper, IUCr. New compounds of the type, Acta Cryst. Short Commun. 10, 538 (1957).
- F. A. Kröger and H. J. Vink, Relations between the concentrations of imperfections in crystalline solids, Solid State Phys. 3, 307 (1956).
- R. Zohourian, R. Merkle, G. Raimondi, and J. Maier, Mixed-conducting perovskites as cathode materials for protonic ceramic fuel cells: Understanding the trends in proton uptake, Adv. Funct. Mater. 28, 1801241 (2018).
- M. F. Hoedl, D. Gryaznov, R. Merkle, E. A. Kotomin, and J. Maier, Interdependence of oxygenation and hydration in mixed-conducting perovskites studied by density functional theory, J. Phys. Chem. C 124, 11780 (2020).
- S. J. Skinner and J. A. Kilner, Oxygen diffusion and surface exchange in , Solid State Ionics 135, 709 (2000).
- E. Boehm, J.-M. Bassat, M. C. Steil, P. Dordor, F. Mauvy, and J.-C. Grenier, Oxygen transport properties of mixed conducting oxides, Solid State Sci. 5, 973 (2003).
- E. S. Tropin, M. V. Ananyev, A. S. Farlenkov, A. V. Khodimchuk, A. V. Berenov, A. V. Fetisov, V. A. Eremin, and A. A. Kolchugin, Surface defect chemistry and oxygen exchange kinetics in , J. Solid State Chem. 262, 199 (2018).
- C. Berger, E. Bucher, A. Egger, A. T. Strasser, N. Schrödl, C. Gspan, J. Hofer, and W. Sitte, Synthesis and characterization of the novel -type oxide , Solid State Ionics 316, 93 (2018).
- S. Eisbacher-Lubensky, A. Egger, W. Sitte, and E. Bucher, Oxygen exchange and transport properties of the first-order Ruddlesden-Popper phase , Solid State Ionics 397, 116255 (2023).
- C. Berger, E. Bucher, A. Egger, N. Schrödl, J. Lammer, C. Gspan, R. Merkle, W. Grogger, J. Maier, and W. Sitte, Oxygen surface exchange kinetics and electronic conductivity of the third-order Ruddlesden-Popper phase , Solid State Ionics 348, 115282 (2020).
- P. Zhong, K. Toyoura, L. Jiang, L. Chen, S. A. Ismail, N. Hatada, T. Norby, and D. Han, Protonic conduction in and (, Sr, Ba) Ruddlesden–Popper type oxides, Adv. Energy Mater. 12, 2200392 (2022).
- A. Grimaud, F. Mauvy, J. Marc Bassat, S. Fourcade, M. Marrony, and J. Claude Grenier, Hydration and transport properties of the compounds as -SOFC cathodes, J. Mater. Chem. 22, 16017 (2012).
- A. P. Tarutin, N. A. Danilov, A. A. Kalinin, A. A. Murashkina, and D. A. Medvedev, Ba-Doped electrodes for proton-conducting electrochemical cells. part 1: Structure, mechanical, and chemical properties, Int. J. Hydrogen Energy 48, 22531 (2023).
- E. J. Crumlin, E. Mutoro, S.-J. Ahn, G. J. la O’, D. N. Leonard, A. Borisevich, M. D. Biegalski, H. M. Christen, and Y. Shao-Horn, Oxygen reduction kinetics enhancement on a heterostructured oxide surface for solid oxide fuel cells, J. Phys. Chem. Lett. 1, 3149 (2010).
- Y. Chen, Z. Cai, Y. Kuru, W. Ma, H. L. Tuller, and B. Yildiz, Electronic activation of cathode superlattices at elevated temperatures–source of markedly accelerated oxygen reduction kinetics, Adv. Energy Mater. 3, 1221 (2013).
- S. Stämmler, R. Merkle, and J. Maier, Oxygen exchange activity of La-Sr-Co-O PLD films and quantification of triple phase boundary activity, J. Electrochem. Soc. 164, F454 (2017).
- Z. Wang, W. Yang, S. P. Shafi, L. Bi, Z. Wang, R. Peng, C. Xia, W. Liu, and Y. Lu, A high performance cathode for proton conducting solid oxide fuel cells, J. Mater. Chem. A 3, 8405 (2015).
- W. Tan, D. Huan, W. Yang, N. Shi, W. Wang, R. Peng, X. Wu, and Y. Lu, A first-principles study on divergent reactions of using a cathode in both oxygen ion conducting and proton conducting solid oxide fuel cells, RSC Adv. 8, 26448 (2018).
- K. Dong, J. Hou, L. Miao, Z. Jin, D. Wang, Y. Teng, and W. Liu, A comparative study of the R-P phase (, 2 and 3) cathodes for intermediate temperature solid oxide fuel cells, Ceram. Int. 46, 19335 (2020).
- Z. Jin, R. Peng, Y. Xia, Z. Wang, and W. Liu, Computational investigation of Zn-Doped and undoped as potential mixed electron and proton conductors, RSC Adv. 10, 39988 (2020).
- M. Lehtimäki, A. Hirasa, M. Matvejeff, H. Yamauchi, and M. Karppinen, Water-containing derivative phases of the series, J. Solid State Chem. 180, 3247 (2007).
- V. Øygarden, H. Fjellvåg, M. H. Sørby, and A. O. Sjåstad, Crystal structure of , Inorg. Chem. 55, 7630 (2016).
- P. Adler, L. Schröder, K. Teske, M. Reehuis, A. Hoser, P. Merz, W. Schnelle, C. Felser, and M. Jansen, Oxygen deficiency in : Electrochemical control and impact on magnetic properties, Phys. Chem. Chem. Phys. 24, 17028 (2022).
- M. Abbate, G. Zampieri, J. Okamoto, A. Fujimori, S. Kawasaki, and M. Takano, X-ray absorption of the negative charge-transfer material , Phys. Rev. B 65, 165120 (2002).
- M. Abbate, H. Ascolani, F. Prado, and A. Caneiro, Electronic structure and band gap of the negative charge-transfer material , Solid State Commun. 129, 113 (2004).
- Y. Ling, T. Guo, X. Zhang, R. A. Budiman, Y. Fujimaki, T. Nakamura, B. Lin, T. Kawada, and K. Amezawa, Evaluation of electrical conductivity and oxygen diffusivity of the typical Ruddlesden-Popper oxide , Ceram. Int. 43, 16264 (2017).
- S. E. Dann, M. T. Weller, and D. B. Currie, The synthesis and structure of , J. Solid State Chem. 92, 237 (1991).
- D. Gryaznov, R. Merkle, E. A. Kotomin, and J. Maier, Ab initio modelling of oxygen vacancies and protonic defects in perovskite solid solutions, J. Mater. Chem. A 4, 13093 (2016).
- Y. Ling, F. Wang, Y. Okamoto, T. Nakamura, and K. Amezawa, Oxygen nonstoichiometry and thermodynamic explanation of large oxygen-deficient Ruddlesden–Popper oxides , J. Am. Ceram. Soc. 99, 3792 (2016).
- E. V. Tsipis, E. N. Naumovich, M. V. Patrakeev, and V. V. Kharton, Oxygen intercalation in Ruddlesden-Popper type , Mater. Lett. 218, 325 (2018).
- N. A. Szaro, S. C. Ammal, F. Chen, and A. Heyden, An ab initio study of the oxygen defect formation and oxide ion migration in , J. Power Sources 515, 230602 (2021).
- 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).
- 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).
- M. F. Hoedl, A. Chesnokov, D. Gryaznov, R. Merkle, E. A. Kotomin, and J. Maier, Proton migration barriers in –insights from DFT calculations, J. Mater. Chem. A 11, 6336 (2023).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/v8m7-prgq for the detailed information on and basic properties, defect configurations and their properties, the defect interaction and formation energies, the analysis of Fe oxidation state in , oxygen interstitial and vacancy migration in . The supplemental Material also contains Refs. [40, 52, 59].
- A. V. Krukau, O. A. Vydrov, A. F. Izmaylov, and G. E. Scuseria, Influence of the exchange screening parameter on the performance of screened hybrid functionals, J. Chem. Phys. 125, 224106 (2006).
- P. E. Blöchl, Projector augmented-wave method, Phys. Rev. B 50, 17953 (1994).
- D. Vanderbilt, Soft self-consistent pseudopotentials in a generalized eigenvalue formalism, Phys. Rev. B 41, 7892 (1990).
- G. Kresse and D. Joubert, From ultrasoft pseudopotentials to the projector augmented-wave method, Phys. Rev. B 59, 1758 (1999).
- H. J. Monkhorst and J. D. Pack, Special points for brillouin-zone integrations, Phys. Rev. B 13, 5188 (1976).
- J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized gradient approximation made simple, Phys. Rev. Lett. 77, 3865 (1996).
- W. Tang, E. Sanville, and G. Henkelman, A grid-based bader analysis algorithm without lattice bias, J. Phys. Condens. Matter 21, 84204 (2009).
- J. Speight, Lange's Handbook of Chemistry, Sixteenth Edition (McGraw-Hill Education LLC, New York, 2005).
- S. E. Dann, M. T. Weller, D. B. Currie, M. F. Thomas, and A. D. Al-Rawwas, Structure and magnetic properties of and studied by powder neutron diffraction and Mössbauer spectroscopy, J. Mater. Chem. 3, 1231 (1993).
- P. Adler, M. Reehuis, N. Stüsser, S. A. Medvedev, M. Nicklas, D. C. Peets, J. Bertinshaw, C. K. Christensen, M. Etter, A. Hoser, L. Schröder, P. Merz, W. Schnelle, A. Schulz, Q. Mu, D. Bessas, A. Chumakov, M. Jansen, and C. Felser, Spiral magnetism, spin flop, and pressure-induced ferromagnetism in the negative charge-transfer-gap insulator , Phys. Rev. B 105, 054417 (2022).
- G. Zvejnieks, Y. Mastrikov, and D. Gryaznov, Jahn–teller distortion in : Group-theoretical analysis and hybrid DFT calculations, Sci. Rep. 13, 16446 (2023).
- K. Momma and F. Izumi, VESTA: A three-dimensional visualization system for electronic and structural analysis, J. Appl. Crystallogr. 41, 653 (2008).
- K. Okhotnikov, T. Charpentier, and S. Cadars, Supercell program: A combinatorial structure-generation approach for the local-level modeling of atomic substitutions and partial occupancies in crystals, J. Cheminform. 8, 17 (2016).
- R. Grau-Crespo, A. Y. Al-Baitai, I. Saadoune, and N. H. De Leeuw, Vacancy ordering and electronic structure of (maghemite): A theoretical investigation, J. Phys. Condens. Matter 22, 255401 (2010).
- M. Hoffmann, A. Ernst, W. Hergert, V. N. Antonov, W. A. Adeagbo, R. M. Geilhufe, and H. Ben Hamed, Magnetic and electronic properties of complex oxides from first-principles, Phys. Status Solidi 257, 1900671 (2020).
- V. M. Zainullina, M. A. Korotin, and V. L. Kozhevnikov, Electronic structure of : A CPA case study, J. Alloys Compd. 971, 172660 (2024).
- J. Park, B. Xu, J. Pan, D. Zhang, S. Lany, X. Liu, J. Luo, and Y. Qi, Accurate prediction of oxygen vacancy concentration with disordered a-site cations in high-entropy perovskite oxides, npj Comput. Mater. 9, 29 (2023).
- W. Xie, Y.-L. Lee, Y. Shao-Horn, and D. Morgan, Oxygen point defect chemistry in Ruddlesden-Popper oxides (, Ni, Cu), J. Phys. Chem. Lett. 7, 1939 (2016).
- V. I. Razumovskiy, Thermodynamics of vacancy formation in the CoCrFeMnNi high entropy alloy from DFT calculations, Asp. Min. Miner. Sci. 8, 971 (2022).
- Y. A. Mastrikov, M. N. Sokolov, S. Koch, Y. F. Zhukovskii, A. Gopejenko, P. V. Vladimirov, V. A. Borodin, E. A. Kotomin, and A. Möslang, Ab Initio modelling of the initial stages of the ODS particle formation process, Nucl. Instruments Methods Phys. Res. Sect. B Beam Interact. with Mater. Atoms 435, 70 (2018).
- SCRIPTS—Transition State Tools for VASP. https://theory.cm.utexas.edu/vtsttools/scripts.html (accessed 2024-03-10).
- G. Henkelman, B. P. Uberuaga, and H. Jónsson, A climbing image nudged elastic band method for finding saddle points and minimum energy paths, J. Chem. Phys. 113, 9901 (2000).
- A. der Ven, G. Ceder, M. Asta, and P. D. Tepesch, First-principles theory of ionic diffusion with nondilute carriers, Phys. Rev. B 64, 184307 (2001).
- J. H. Chang, P. B. Jørgensen, S. Loftager, A. Bhowmik, J. M. G. Lastra, and T. Vegge, On-the-fly assessment of diffusion barriers of disordered transition metal oxyfluorides using local descriptors, Electrochim. Acta 388, 138551 (2021).
- A. J. Samin, D. A. Andersson, E. F. Holby, and B. P. Uberuaga, Ab initio based examination of the kinetics and thermodynamics of oxygen in Fe-Cr alloys, Phys. Rev. B 99, 174202 (2019).
- X. Zhang, S. V. Divinski, and B. Grabowski, Ab Initio prediction of vacancy energetics in HCP Al-Hf-Sc-Ti-Zr high entropy alloys and the subsystems, Acta Mater. 227, 117677 (2022).
- R. Dovesi, F. Pascale, B. Civalleri, K. Doll, N. M. Harrison, I. Bush, P. D’Arco, Y. Noël, M. Rérat, P. Carbonnière, M. Causà, S. Salustro, V. Lacivita, B. Kirtman, A. M. Ferrari, F. S. Gentile, J. Baima, M. Ferrero, R. Demichelis, and M. D. La Pierre, The CRYSTAL code, 1976–2020 and beyond, a long story, J. Chem. Phys. 152, 204111 (2020).
- I. B. Bersuker, Four modifications of the jahn–teller effects. the problem of observables: Spin–orbit interaction, tunneling splitting, and orientational polarization of solids, Phys. Chem. Chem. Phys. 25, 1556 (2023).
- I. B. Bersuker, Pseudo-Jahn–Teller effect—a two-state paradigm in formation, deformation, and transformation of molecular systems and solids, Chem. Rev. 113, 1351 (2013).
- E. Niwa, K. Wakai, T. Hori, T. Nakamura, K. Yashiro, J. Mizusaki, and T. Hashimoto, Analysis of structural phase transition behavior of (Ln: Nd, Pr) with variation of oxygen content, Solid State Ionics 262, 724 (2014).
- T. Nakamura, K. Yashiro, K. Sato, and J. Mizusaki, Thermally-induced and chemically-induced structural changes in layered perovskite-type oxides (, 0.2, 0.4), Solid State Ionics 181, 402 (2010).
- N. Hayashi, T. Yamamoto, A. Kitada, A. Matsuo, K. Kindo, J. Hester, H. Kageyama, and M. Takano, Field-induced ferromagnetism of -perovskite system, , J. Phys. Soc. Jpn. 82, 113702 (2013).
- T. Das, J. D. Nicholas, and Y. Qi, Long-range charge transfer and oxygen vacancy interactions in strontium ferrite, J. Mater. Chem. A 5, 4493 (2017).
- Y.-L. Lee, J. Kleis, J. Rossmeisl, Y. Shao-Horn, and D. Morgan, Prediction of solid oxide fuel cell cathode activity with first-principles descriptors, Energy Environ. Sci. 4, 3966 (2011).
- M. F. Hoedl, Electronic structure and defect chemistry in iron perovskites, Ph.D. thesis University of Stuttgart, 2021.
- M. Vračar, A. Kuzmin, R. Merkle, J. Purans, E. A. Kotomin, J. Maier, and O. Mathon, Jahn-Teller distortion around in from x-ray absorption spectroscopy, x-ray diffraction, and vibrational spectroscopy, Phys. Rev. B 76, 174107 (2007).
- H. L. Lein, K. Wiik, and T. Grande, Thermal and chemical expansion of mixed conducting materials, Solid State Ionics 177, 1795 (2006).
- NIST Chemistry WebBook. https://webbook.nist.gov/chemistry/ (accessed 2024-06-05).
- D. Gryaznov, M. W. Finnis, R. A. Evarestov, and J. Maier, Oxygen vacancy formation energies in Sr-doped complex perovskites: Ab initio thermodynamic study, Solid State Ionics 254, 11 (2014).
- A. Chesnokov, D. Gryaznov, and E. Kotomin, First principles calculations on doped with ions, Opt. Mater. (Amst). 90, 76 (2019).
- J. Kilner and R. Brook, A study of oxygen ion conductivity in doped non-stoichiometric oxides, Solid State Ionics 6, 237 (1982).
- A. E. Bocquet, A. Fujimori, T. Mizokawa, T. Saitoh, H. Namatame, S. Suga, N. Kimizuka, Y. Takeda, and M. Takano, Electronic structure of and related Fe perovskite oxides, Phys. Rev. B 45, 1561 (1992).
- S. Kitou, M. Gen, Y. Nakamura, K. Sugimoto, Y. Tokunaga, S. Ishiwata, and Taka-hisa Arima, Real-space observation of ligand hole state in cubic perovskite , Adv. Sci. 10, 2302839 (2023).
- Z. Li, R. Laskowski, T. Iitaka, and T. Tohyama, First-principles calculation of helical spin order in iron perovskite and , Phys. Rev. B 85, 134419 (2012).
- T. S. Bjørheim, M. F. Hoedl, R. Merkle, E. A. Kotomin, and J. Maier, Hydroxide ion, and oxide ion affinities of closed-shell oxides: Importance for the hydration reaction and correlation to electronic structure, J. Phys. Chem. C 124, 1277 (2020).
- A. A. Sokol, A. Walsh, and C. R. A. Catlow, Oxygen interstitial structures in close-packed metal oxides, Chem. Phys. Lett. 492, 44 (2010).
- R. A. Evarestov, A. Platonenko, D. Gryaznov, Y. F. Zhukovskii, and E. A. Kotomin, First-principles calculations of oxygen interstitials in corundum: A site symmetry approach, Phys. Chem. Chem. Phys. 19, 25245 (2017).
- M. M. Kuklja, Y. A. Mastrikov, B. Jansang, and E. A. Kotomin, The intrinsic defects, disordering, and structural stability of perovskite solid solutions, J. Phys. Chem. C 116, 18605 (2012).
- T. Brudevoll, E. A. Kotomin, and N. E. Christensen, Interstitial-oxygen-atom diffusion in MgO, Phys. Rev. B 53, 7731 (1996).
- A. Lushchik, V. N. Kuzovkov, E. A. Kotomin, G. Prieditis, V. Seeman, E. Shablonin, E. Vasil'chenko, and A. I. Popov, Evidence for the formation of two types of oxygen interstitials in neutron-irradiated single crystals, Sci. Rep. 11, 20909 (2021).
- Y. A. Mastrikov, R. Merkle, E. A. Kotomin, M. M. M. Kuklja, and J. Maier, Surface termination effects on the oxygen reduction reaction rate at fuel cell cathodes, J. Mater. Chem. A 6, 11929 (2018).
- A. Kushima, D. Parfitt, A. Chroneos, B. Yildiz, J. A. Kilner, and R. W. Grimes, Interstitialcy diffusion of oxygen in tetragonal , Phys. Chem. Chem. Phys. 13, 2242 (2011).
- A. Chroneos, D. Parfitt, J. A. Kilner, and R. W. Grimes, Anisotropic oxygen diffusion in tetragonal : Molecular dynamics calculations, J. Mater. Chem. 20, 266 (2010).
- S. Xu, R. Jacobs, and D. Morgan, Factors controlling oxygen interstitial diffusion in the Ruddlesden–Popper oxide , Chem. Mater. 30, 7166 (2018).
- C. Tealdi, C. Ferrara, P. Mustarelli, and M. S. Islam, Vacancy and interstitial oxide ion migration in heavily doped , J. Mater. Chem. 22, 8969 (2012).
- E. J. Opila, H. L. Tuller, B. J. Wuensch, and J. Maier, Oxygen tracer diffusion in single crystals, J. Am. Ceram. Soc. 76, 2363 (1993).
- D. Lee and H. N. Lee, Controlling oxygen mobility in Ruddlesden–Popper oxides, Materials (Basel). 10, 368 (2017).