- Open Access
Influence of donor and acceptor doping on conductivity in potassium niobate
Phys. Rev. B 113, 024110 – Published 15 January, 2026
DOI: https://doi.org/10.1103/891y-gfkd
Abstract
Lead-free ferroelectrics based on the solid solution have emerged as strong candidates to replace lead-containing ceramics due to their excellent piezoelectric and thermal properties. However, their practical application is hindered by high leakage currents and low ceramic density. Doping provides a strategy for enhancing material performance, highlighting the need for a deeper understanding of defect chemistry. For this purpose, we investigated the equilibrium of intrinsic defects and the doping behavior of Ca and Fe in the boundary phase . We have found all elements to be prone to vacancy formation. Moreover, Ca acts as a donor and leads to a large concentration of charge carriers and therefore larger electronic conductivity. On the other hand, Fe behaves as an acceptor and shows oxidation states ranging from to , whose concentrations depend on the total Fe concentration. As a consequence, the number of charge carriers and the electronic conductivity are reduced.
Physics Subject Headings (PhySH)
Article Text
References (41)
- J.-F. Li, K. Wang, F.-Y. Zhu, L.-Q. Cheng, and F.-Z. Yao, -Based lead-free piezoceramics: Fundamental aspects, processing technologies, and remaining challenges, J. Am. Ceram. Soc. 96, 3677 (2013).
- B. Malič, J. Koruza, J. Hreščak, J. Bernard, K. Wang, J. G. Fisher, and A. Benčan, Sintering of lead-free piezoelectric Sodium Potassium niobate ceramics, Materials 8, 8117 (2015).
- J. Wu, D. Xiao, and J. Zhu, Potassium–Sodium niobate lead-free piezoelectric materials: Past, present, and future of phase boundaries, Chem. Rev. 115, 2559 (2015).
- Y. Saito, H. Takao, T. Tani, T. Nonoyama, K. Takatori, T. Homma, T. Nagaya, and M. Nakamura, Lead-free piezoceramics, Nature (London) 432, 84 (2004).
- J. Acker, H. Kungl, R. Schierholz, S. Wagner, R.-A. Eichel, and M. J. Hoffmann, Microstructure of sodium-potassium niobate ceramics sintered under high alkaline vapor pressure atmosphere, J. Eur. Ceram. Soc. 34, 4213 (2014).
- M. Azadeh, C. Zhao, A. Pawadi, S. Gao, and T. Frömling, Effect of iron acceptor doping and calcium donor doping in potassium sodium niobate-based lead-free piezoceramics, J. Am. Ceram. Soc. 107, 4949 (2024).
- S. Körbel, P. Marton, and C. Elsässer, Formation of vacancies and copper substitutionals in potassium sodium niobate under various processing conditions, Phys. Rev. B 81, 174115 (2010).
- S. Körbel, Atomistic modeling of cu doping in the lead-free ferroelectric potassium sodium niobate, Ph.D. thesis, Albert-Ludwigs-Universit ät Freiburg im Breisgau, 2012.
- L. Villa and K. Albe, Role of doping and defect quenching in antiferroelectric from first principles, Phys. Rev. B 106, 134101 (2022).
- G. Shirane, Ferroelectricity and antiferroelectricity in ceramic Containing Ba or Sr, Phys. Rev. 86, 219 (1952).
- E. Kotomin, R. Eglitis, and G. Borstel, Quantum chemical of point defects in perovskite crystals, Comput. Mater. Sci. 17, 290 (2000).
- S. Körbel and C. Elsässer, Ab initio and atomistic study of ferroelectricity in copper-doped potassium niobate, Phys. Rev. B 84, 014109 (2011).
- S. Körbel and C. Elsässer, Alignment of ferroelectric polarization and defect complexes in copper-doped potassium niobate, Phys. Rev. B 88, 214114 (2013).
- 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).
- G. Kresse and J. Furthmüller, Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set, Comput. Mater. Sci. 6, 15 (1996).
- G. Kresse and J. Hafner, Ab initio molecular dynamics for liquid metals, Phys. Rev. B 47, 558 (1993).
- G. Kresse and J. Hafner, Ab initio molecular-dynamics simulation of the liquid-metal–amorphous-semiconductor transition in germanium, Phys. Rev. B 49, 14251 (1994).
- P. E. Blöchl, Projector augmented-wave method, Phys. Rev. B 50, 17953 (1994).
- G. Kresse and D. Joubert, From ultrasoft pseudopotentials to the projector augmented-wave method, Phys. Rev. B 59, 1758 (1999).
- J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized gradient approximation made simple, Phys. Rev. Lett. 77, 3865 (1996).
- F. Birch, Finite elastic strain of cubic crystals, Phys. Rev. 71, 809 (1947).
- F. D. Murnaghan, The compressibility of media under extreme pressures, Proc. Natl. Acad. Sci. USA 30, 244 (1944).
- G. Henkelman, G. Jóhannesson, and H. Jónsson, Methods for Finding Saddle Points and Minimum Energy Paths, in Theoretical Methods in Condensed Phase Chemistry, edited by S. D. Schwartz (Kluwer Academic, Dordrecht, 2002), Vol. 5, pp. 269–302.
- 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).
- G.-X. Qian, R. M. Martin, and D. J. Chadi, First-principles study of the atomic reconstructions and energies of Ga- and As-stabilized GaAs(100) surfaces, Phys. Rev. B 38, 7649 (1988).
- S. B. Zhang, S.-H. Wei, and A. Zunger, A phenomenological model for systematization and prediction of doping limits in II–VI and I–III– compounds, J. Appl. Phys. 83, 3192 (1998).
- Y.-J. Zhao, C. Persson, S. Lany, and A. Zunger, Why can be readily equilibrium-doped -type but the wider-gap cannot? Appl. Phys. Lett. 85, 5860 (2004).
- Y. Kumagai and F. Oba, Electrostatics-based finite-size corrections for first-principles point defect calculations, Phys. Rev. B 89, 195205 (2014).
- A. Jain, J. Montoya, S. Dwaraknath, N. E. R. Zimmermann, J. Dagdelen, M. Horton, P. Huck, D. Winston, S. Cholia, S. P. Ong, and K. Persson, The materials project: Accelerating materials design through theory-driven data and tools, in Handbook of Materials Modeling, edited by W. Andreoni and S. Yip (Springer, Cham, 2018), pp. 1–34.
- S. P. Ong, S. Cholia, A. Jain, M. Brafman, D. Gunter, G. Ceder, and K. A. Persson, The materials application programming interface (API): A simple, flexible and efficient API for materials data based on representational state transfer (REST) principles, Comput. Mater. Sci. 97, 209 (2015).
- S. P. Ong, W. D. Richards, A. Jain, G. Hautier, M. Kocher, S. Cholia, D. Gunter, V. L. Chevrier, K. A. Persson, and G. Ceder, Python Materials Genomics (pymatgen): A robust, open-source python library for materials analysis, Comput. Mater. Sci. 68, 314 (2013).
- S. P. Ong, L. Wang, B. Kang, and G. Ceder, phase diagram from first principles calculations, Chem. Mater. 20, 1798 (2008).
- L. Villa, E. Ghorbani, and K. Albe, Role of intrinsic defects in cubic : A computational study based on hybrid density-functional theory, J. Appl. Phys. 131, 124106 (2022).
- P. Erhart and K. Albe, Modeling the electrical conductivity in on the basis of first-principles calculations, J. Appl. Phys. 104, 044315 (2008).
- K. Reuter and M. Scheffler, Composition, structure, and stability of as a function of oxygen pressure, Phys. Rev. B 65, 035406 (2001).
- D. R. Stull and H. Prophet, JANAF Thermochemical Tables, 2nd ed. (National Institute of Standards and Technology, Gaithersburg, MD, 1971).
- J. Hao, Z. Xu, R. Chu, W. Li, J. Du, P. Fu, and G. Li, Electric field cycling induced large electrostrain in aged lead-free piezoelectric ceramics, J. Am. Ceram. Soc. 99, 402 (2016).
- M. Jiang, X. Li, J. Zhu, X. Zhu, W. Shi, L. Li, D. Xiao, and J. Zhu, Double hysteresis loops induced by mn doping in ferroelectric ceramics, Curr. Appl. Phys. 10, 526 (2010).
- S. M. Ke, H. T. Huang, H. Q. Fan, H. K. Lee, L. M. Zhou, and Y.-W. Mai, Antiferroelectric-like properties and enhanced polarization of Cu-doped piezoelectric ceramics, Appl. Phys. Lett. 101, 082901 (2012).
- X. Tan, Z. Xu, X. Liu, and Z. Fan, Double hysteresis loops at room temperature in -based lead-free antiferroelectric ceramics, Mater. Res. Lett. 6, 159 (2018).
- W. Wu, J. Li, D. Xiao, M. Chen, Y. Ding, and C. Liu, Defect dipoles-driven ferroelectric behavior in potassium sodium niobate ceramics, Ceram. Int. 40, 13205 (2014).