Theoretical framework explores symmetry and domain patterns affecting piezoelectric properties in ferroelectrics, suggesting improved designs.
Symmetry is a fundamental principle across diverse disciplines, from physics to philosophy. In ferroelectric materials, the symmetry breaking during paraelectric‐to‐ferroelectric phase transitions dictates the formation of spontaneous polarization and distinct domain patterns, suggesting a deep coupling of crystallographic symmetry and functional microstructure. Here, we propose a theoretical framework inspired by the Taoist philosophy to understand the correlation between crystallographic symmetry, domain pattern, and piezoelectric properties. By using BiFeO 3 as a model system, we categorize ferroelectric phases into “Yin‐Yang” (high symmetry), “Four‐Symbol” (intermediate), and “Bagua” (low symmetry) systems. Our obtained results revealed that as symmetry decreases, domain complexity increases, leading to a significant enhancement in electromechanical response. Specifically, the mixed‐phases BiFeO 3 sample, as the lowest symmetry system (“Bagua”), exhibits a zigzag‐style checkerboard domain pattern with converse piezoelectric coefficient (d 33 *) of ∼66.5 pm/V, which is 4.3 times larger than the tetragonal‐phase BiFeO 3 with a single domain pattern (“Yin‐Yang” system). Our work established a predictive link between crystallographic symmetry, emergent domain patterns, and functional properties, offering a novel symmetry‐based paradigm for engineering high‐performance piezoelectric materials and devices.
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Yang et al. (2026) studied this question.
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