Abstract
Piezoelectric materials are indispensable in electromechanical actuators, which require a large electrostrain with a fast and precise response. By designing a chemopiezoelectric effect, we developed an approach to achieve a high electrostrain of 1.9% under −3 kV mm−1, at 1 Hz, corresponding to an effective piezoelectric coefficient of >6,300 pm V−1 at room temperature in lead-free potassium sodium niobate piezoceramics. This electrostrain has satisfactory fatigue resistance and thermal stability, and low hysteresis, far outperforming existing lead-based and lead-free perovskite counterparts. From tracer diffusion, atomic optical emission spectrometry experiments, combined with machine-learning molecular dynamics and phase-field simulations, we attribute the high electrostrain to short-range hopping of oxygen vacancies near ceramic surfaces under an alternating electric field, which is supported by strain levels reaching 3.0% under the same applied field when the sample was annealed at a low oxygen partial pressure. These findings provide an additional degree of freedom for designing materials on the basis of defect engineering, which will favour not only the electrostrain of piezoelectrics but also the functional properties of a broader range of oxide-based materials.
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The data that support the findings of this study are available within the Article and its Supplementary Information. Any other relevant data are also available upon request from the corresponding authors. Source data are provided with this paper.
References
Li, J.-F. Lead-Free Piezoelectric Materials (Wiley, 2020).
Li, F. et al. Giant piezoelectricity of Sm-doped Pb(Mg1/3Nb2/3)O3-PbTiO3 single crystals. Science 364, 264–268 (2019).
Park, S.-E. & Shrout, T. R. Ultrahigh strain and piezoelectric behavior in relaxor based ferroelectric single crystals. J. Appl. Phys. 82, 1804–1811 (1997).
Narayan, B. J. et al. Electrostrain in excess of 1% in polycrystalline piezoelectrics. Nat. Mater. 17, 427–431 (2018).
Damjanovic, D. & Demartin, M. Contribution of the irreversible displacement of ___domain walls to the piezoelectric effect in barium titanate and lead zirconate titanate ceramics. J. Phys. Condens. Matter 9, 4943–4953 (1997).
Zhang, M.-H. et al. Enhanced electric-field-induced strains in (K,Na)NbO3 piezoelectrics from heterogeneous structures. Mater. Today 46, 44–53 (2021).
Yao, F.-Z. et al. Diffused phase transition boosts thermal stability of high-performance lead-free piezoelectrics. Adv. Funct. Mater. 26, 1217–1224 (2016).
Liu, Y.-X., Thong, H.-C., Cheng, Y.-Y.-S., Li, J.-W. & Wang, K. Defect-mediated ___domain-wall motion and enhanced electric-field-induced strain in hot-pressed K0.5Na0.5NbO3 lead-free piezoelectric ceramics. J. Appl. Phys. 129, 024102 (2021).
Liu, H. et al. Giant piezoelectricity in oxide thin films with nanopillar structure. Science 369, 292–297 (2020).
Höfling, M. et al. Control of polarization in bulk ferroelectrics by mechanical dislocation imprint. Science 372, 961–964 (2021).
Xu, Z. et al. Identifying the interfacial polarization in non-stoichiometric lead-free perovskites by defect engineering. Angew. Chem. Int. Ed. 62, e202216776 (2023).
Fu, H. & Cohen, R. E. Polarization rotation mechanism for ultrahigh electromechanical response in single-crystal piezoelectrics. Nature 403, 281–283 (2000).
Ren, X. Large electric-field-induced strain in ferroelectric crystals by point-defect-mediated reversible ___domain switching. Nat. Mater. 3, 91–94 (2004).
Zhao, Z., Lv, Y., Dai, Y. & Zhang, S. Ultrahigh electro-strain in acceptor-doped KNN lead-free piezoelectric ceramics via defect engineering. Acta Mater. 200, 35–41 (2020).
Wang, L. et al. Enhanced strain effect of aged acceptor-doped BaTiO3 ceramics with clamping ___domain structures. Appl. Phys. Lett. 110, 102904 (2017).
Dai, Y.-J. et al. High electrostrictive strain induced by defect dipoles in acceptor-doped (K0.5Na0.5)NbO3 ceramics. J. Phys. D Appl. Phys. 49, 275303 (2016).
Cen, Z. et al. Simultaneously improving piezoelectric strain and temperature stability of KNN-based ceramics via defect design. J. Eur. Ceram. Soc. 43, 939–946 (2023).
Zhao, Z., Dai, Y., Li, X., Zhao, Z. & Zhang, X. The evolution mechanism of defect dipoles and high strain in MnO2-doped KNN lead-free ceramics. Appl. Phys. Lett. 108, 172906 (2016).
Li, C. Q. et al. Dramatic influence of Dy3+ doping on strain and ___domain structure in lead-free piezoelectric 0.935(Na1/2Bi1/2)TiO3–0.065BaTiO3 ceramics. AIP Adv. 5, 127118 (2015).
Huangfu, G. et al. Giant electric field-induced strain in lead-free piezoceramics. Science 331, 341–346 (2022).
Wang, B., Huangfu, G., Zheng, Z. & Guo, Y. Giant electric field‐induced strain with high temperature‐stability in textured KNN‐based piezoceramics for actuator applications. Adv. Funct. Mater. 33, 2214643 (2023).
Wu, H. et al. Alkali-deficiency driven charged out-of-phase boundaries for giant electromechanical response. Nat. Commun. 12, 2841 (2021).
Waqar, M. et al. Origin of giant electric-field-induced strain in faulted alkali niobate films. Nat. Commun. 13, 3922 (2022).
Feng, W. et al. Heterostrain-enabled ultrahigh electrostrain in lead-free piezoelectric. Nat. Commun. 13, 5086 (2022).
He, X. et al. Ultra-large electromechanical deformation in lead-free piezoceramics at reduced thickness. Mater. Horiz. 11, 1079–1087 (2024).
Adhikary, G. D., Daniels, J., Giles, L. & Ranjan, R. Ultrahigh electrostrain in Pb-free piezoceramics: effect of bending. Preprint at https://arxiv.org/abs/2312.15627 (2023)
Tian, S. et al. Defect dipole stretching enables ultrahigh electrostrain. Sci. Adv. 10, adn2829 (2024).
Wang, J., Wang, B., Zhang, H., Zhang, S. & Guo, Y. Ultrahigh electrobending deformation in lead-free piezoelectric ceramics via defect concentration gradient design. Adv. Mater. 36, 2404682 (2024).
Tsvetkov, D. S., Sereda, V. V., Malyshkin, D. A., Ivanov, I. L. & Zuev, A. Y. Chemical lattice strain in nonstoichiometric oxides: an overview. J. Mater. Chem. A 10, 6351–6375 (2022).
Park, D.-S. et al. Induced giant piezoelectricity in centrosymmetric oxides. Science 375, 653–657 (2022).
Waqar, M., Wu, H., Chen, J., Yao, K. & Wang, J. Evolution from lead-based to lead-free piezoelectrics: engineering of lattices, domains, boundaries, and defects leading to giant response. Adv. Mater. 34, 2106845 (2022).
Kalinin, S. V. & Spaldin, N. A. Functional ion defects in transition metal oxides. Science 341, 858–859 (2013).
Wang, K. & Li, J.-F. Analysis of crystallographic evolution in (Na,K)NbO3-based lead-free piezoceramics by X-ray diffraction. Appl. Phys. Lett. 91, 262902 (2007).
Thong, H.-C. et al. Defect suppression in CaZrO3-modified (K, Na)NbO3-based lead-free piezoceramic by sintering atmosphere control. J. Am. Ceram. Soc. 101, 3393–3401 (2018).
Gerra, G., Tagantsev, A. K., Setter, N. & Parlinski, K. Ionic polarizability of conductive metal oxides and critical thickness for ferroelectricity in BaTiO3. Phys. Rev. Lett. 96, 107603 (2006).
Merz, W. J. Switching time in ferroelectric BaTiO3 and its dependence on crystal thickness. J. Appl. Phys. 27, 938–943 (1956).
Holzlechner, G., Kastner, D., Slouka, C., Hutter, H. & Fleig, J. Oxygen vacancy redistribution in PbZrxTi1−xO3 (PZT) under the influence of an electric field. Solid State Ion. 262, 625–629 (2014).
Slouka, C. et al. The effect of acceptor and donor doping on oxygen vacancy concentrations in lead zirconate titanate (PZT). Materials (Basel) 9, 945 (2016).
Frömling, T., Hutter, H. & Fleig, J. Oxide ion transport in donor-doped Pb(ZrxTi1−x)O3: near-surface diffusion properties. J. Am. Ceram. Soc. 95, 1692–1700 (2012).
Crank, J. The Mathematics of Diffusion (Oxford Univ. Press, 1979).
Koerver, R. et al. Chemo-mechanical expansion of lithium electrode materials – on the route to mechanically optimized all-solid-state batteries. Energy Environ. Sci. 11, 2142–2158 (2018).
Ryu, I., Choi, J. W., Cui, Y. & Nix, W. D. Size-dependent fracture of Si nanowire battery anodes. J. Mech. Phys. Solids 59, 1717–1730 (2011).
Kong, S., Kumar, N., Checchia, S., Cazorla, C. & Daniels, J. Defect-driven structural distortions at the surface of relaxor ferroelectrics. Adv. Funct. Mater. 29, 1900344 (2019).
Thong, H.-C. et al. Machine learning interatomic potential for molecular dynamics simulation of the ferroelectric KNbO3 perovskite. Phys. Rev. B 107, 014101 (2023).
Gottschalk, S., Hahn, H., Flege, S. & Balogh, A. G. Oxygen vacancy kinetics in ferroelectric PbZr0.4Ti0.6O3. J. Appl. Phys. 104, 114106 (2008).
Chen, L.-Q. & Yang, W. Computer simulation of the ___domain dynamics of a quenched system with a large number of nonconserved order parameters: the grain-growth kinetics. Phys. Rev. B 50, 15752 (1994).
Choudhury, S., Li, Y. L., Krill, C. E. III & Chen, L.-Q. Phase-field simulation of polarization switching and ___domain evolution in ferroelectric polycrystals. Acta Mater. 53, 5313–5321 (2005).
Cao, Y., Shen, J., Randall, C. & Chen, L.-Q. Effect of ferroelectric polarization on ionic transport and resistance degradation in BaTiO3 by phase‐field approach. J. Am. Ceram. Soc. 97, 3568–3575 (2014).
Gao, R., Shi, X., Wang, J., Zhang, G. & Huang, H. Designed giant room‐temperature electrocaloric effects in metal-free organic perovskite [MDABCO](NH4)I3 by phase–field simulations. Adv. Funct. Mater. 31, 2104393 (2021).
Yang, T., Wang, B., Hu, J.-M. & Chen, L.-Q. Domain dynamics under ultrafast electric-field pulses. Phys. Rev. Lett. 124, 107601 (2020).
Pohlmann, H., Wang, J.-J., Wang, B. & Chem, L.-Q. A thermodynamic potential and the temperature–composition phase diagram for single-crystalline K1−xNaxNbO3 (0 ≤ x ≤ 0.5). J. Appl. Phys. 110, 102906 (2017).
Bidault, O., Goux, P., Kchikech, M., Belkaoumi, M. & Maglione, M. Space-charge relaxation in perovskites. Phys. Rev. B 49, 7868–7873 (1994).
Jonscher, A. K. Dielectric Relaxation in Solids (Chelsea Dielectrics Press, 1983).
Damjanovic, D. & Demartin, M. The Rayleigh law in piezoelectric ceramics. J. Phys. D Appl. Phys. 29, 2057–2060 (1996).
Zhang, M.-H., Liu, Y.-X., Wang, K., Koruza, J. & Schultheiß, J. Origin of high electromechanical properties in (K,Na)NbO3-based lead-free piezoelectrics modified with BaZrO3. Phys. Rev. Mater. 4, 064407 (2020).
Saito, Y. et al. Lead-free piezoceramics. Nature 432, 84–87 (2004).
Li, P. et al. Ultrahigh piezoelectric properties in textured (K,Na)NbO3-based lead-free ceramics. Adv. Mater. 30, 1705171 (2018).
Lv, X. & Wu, J. Effects of a phase engineering strategy on the strain properties in KNN-based ceramics. J. Mater. Chem. C 7, 2037–2048 (2019).
Yin, J. et al. Deciphering the atomic-scale structural origin for large dynamic electromechanical response in lead-free Bi0.5Na0.5TiO3-based relaxor ferroelectrics. Nat. Commun. 13, 6333 (2022).
Liu, X. & Tan, X. Giant strains in non-textured (Bi1/2Na1/2)TiO3-based lead-free ceramics. Adv. Mater. 28, 574–578 (2016).
Wu, J. et al. Ultrahigh field-induced strain in lead-free ceramics. Nano Energy 76, 105037 (2020).
Wang, Y. et al. Large piezoelectricity in ternary lead‐free single crystals. Adv. Electron. Mater. 6, 1900949 (2020).
Hao, J., Bai, W., Li, W. & Zhai, J. Correlation between the microstructure and electrical properties in high-performance (Ba0.85Ca0.15)(Zr0.1Ti0.9)O3 lead-free piezoelectric ceramics. J. Am. Ceram. Soc. 95, 1998–2006 (2012).
Sutapun, M., Vittayakorn, W., Muanghlua, R. & Vittayakorn, N. High piezoelectric response in the new coexistent phase boundary of 0.87BaTiO3–(0.13 − x)BaZrO3–xCaTiO3. Mater. Des. 86, 564–574 (2015).
Murakami, S. et al. High strain (0.4%) Bi(Mg2/3Nb1/3)O3‐BaTiO3‐BiFeO3 lead‐free piezoelectric ceramics and multilayers. J. Am. Ceram. Soc. 101, 5428–5442 (2018).
Wang, D. High energy storage density and large strain in Bi(Zn2/3Nb1/3)O3-doped BiFeO3–BaTiO3 ceramics. ACS Appl. Energy Mater. 1, 4403–4412 (2018).
Adhikary, G. D., Singh, D. N., Tina, G. A., Muleta, G. J. & Ranjan, R. Ultrahigh electrostrain >1% in lead-free piezoceramics: role of disk dimension. J. Appl. Phys. 134, 054101 (2023).
Wu, C. et al. Effects of Mn-doping on the structure and electrical properties of Sm-PMN-PT piezoceramics. J. Adv. Dielectr. 13, 2350004 (2023).
Thong, H.-C. et al. Domain engineering in bulk ferroelectric ceramics via mesoscopic chemical inhomogeneity. Adv. Sci. 9, 2200998 (2022).
Li, F. et al. Composition and phase dependence of the intrinsic and extrinsic piezoelectric activity of ___domain engineered (1 − x)Pb(Mg1/3Nb2/3)O3-xPbTiO3 crystals. J. Appl. Phys. 108, 034106 (2010).
Balke, N., Lupascu, D. C., Granzow, T. & Rödel, J. Fatigue of lead zirconate titanate ceramics. I: unipolar and DC loading. J. Am. Ceram. Soc. 90, 1081–1087 (2007).
Glaum, J., Granzow, T. & Rödel, J. Evaluation of ___domain wall motion in bipolar fatigued lead-zirconate-titanate: a study on reversible and irreversible contributions. J. Appl. Phys. 107, 104119 (2010).
Acknowledgements
We acknowledge helpful discussions with Z.-L. Tang at the School of Materials Science and Engineering, Tsinghua University, X. Li and Y. Gu at the BL02U2 beamline of Shanghai Synchrotron Radiation Facility and X. Mo at the Institute of Acoustics, Chinese Academy of Sciences. A portion of this work was performed on the Steady High Magnetic Field Facilities, High Magnetic Field Laboratory, CAS. K.W. acknowledges support from the Basic Science Centre Program of the NSFC (no. 52388201), the National Key Research and Development Program of China (no. 2020YFA0711700) and the National Nature Science Foundation of China (no. 52032005). Y.-X.L. acknowledges support from the National Nature Science Foundation of China (nos. 52302148 and 52311530094). Z.S. and S.J.S. acknowledge support from the European Union’s Horizon 2020 Research and Innovation Program (no. 101017709).
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Ze Xu, Y.-X.L., S.Z. and K.W. conceived the original idea and directed the project. Ze Xu, Z.L., X.-X.C., H.-F.H. and C.W. performed the sample preparation, while Ze Xu, Y.-X.L., H.-C.T., F.-Z.Y., Zhanpeng Xu, P.K. and M.L. analysed the electrical results. X.S. and H.H. performed the phase-field simulations. Ze Xu, Y.-X.L., Y.J., Z.L., F.Z., F.C., H.S., R.Y. and B.X. conducted the structural characterization. Ze Xu, Z.S. and S.J.S. conducted the 18O tracer diffusion measurements and analysed the data. H.T., P.T. and X.J. tested the strain distribution. Ze Xu and Y.-X.L. analysed the data with the help of C.-B.-W.L., X.Z., X.R., Z.D., W.G., X.W. and J.-F.L., and K.W. supervised the overall research work. Ze Xu and Y.-X.L. wrote the manuscript. X.S., D.W., H.H., K.W. and S.Z. revised the manuscript. All authors discussed the results and commented on the manuscript.
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Xu, Z., Shi, X., Liu, YX. et al. High electrostrain in a lead-free piezoceramic from a chemopiezoelectric effect. Nat. Mater. 24, 565–573 (2025). https://doi.org/10.1038/s41563-024-02092-8
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DOI: https://doi.org/10.1038/s41563-024-02092-8
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