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    Origin of abnormal properties in (Bi,Na)TiO3 based morphotropic phase boundary: The role of oxygen octahedral tilting

    Guanqi Wang1, Yang Yang1,*, Zhijian Zhou1, Yuanchao Ji1,†, and Xiaobing Ren1,2

    • 1Frontier Institute of Science and Technology, and State Key Laboratory for Mechanical Behavior of Materials, Xi'an Jiaotong University, Xi'an 710049, China
    • 2Center for Advanced Smart Materials, Yongjiang Laboratory, Ningbo 315202, China

    • *Contact author: yangyangz@xjtu.edu.cn
    • †Contact author: jyc.xjtu@xjtu.edu.cn

    Phys. Rev. B 113, 144103 – Published 6 April, 2026

    DOI: https://doi.org/10.1103/q3b4-dd7r

    Abstract

    The morphotropic phase boundary (MPB) is the cornerstone of designing high-performance piezoelectric ceramics, enabling materials such as Pb(Zr,Ti)O3, Pb(Mg,Nb)O3–PbTiO3, (K,Na)NbO3-based and BaTiO3-based (BT) ceramics to have excellent piezoelectric coefficients (exceeding 600 pC/N). In contrast, MPB in (Bi,Na)TiO3-based (BNT) materials exhibits a notable anomaly: despite their high spontaneous polarization, their piezoelectric coefficients are limited to ∼300 pC/N. This work systematically compares the properties and in situ microstructures of MPB in BT-based (no oxygen octahedral tilting) and BNT-based (with oxygen octahedral tilting) systems, and reveals that oxygen octahedral tilting leads to a unique MPB type in the BNT-based system. In BT-based systems, the MPB composition (no oxygen octahedral tilting) maintains a two-phase coexistence structure before and after the application of an electric field and exhibits a low polarization rotation energy barrier, thereby generating a high piezoelectric coefficient. In contrast, in BNT-based systems, when an electric field is applied, the MPB composition (with oxygen octahedral tilting) undergoes a field-induced transition, transforming from a two-phase coexistence structure to a single-phase structure. This single-phase structure and oxygen octahedral tilting result in a high energy barrier for polarization rotation, leading to a low piezoelectric coefficient and a high coercive field. These results provide insights into the microstructural origin of the abnormal properties of BNT-based MPB piezoelectrics and the design of high-performance lead-free materials.

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