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Designing Pb-Free High-Entropy Relaxor Ferroelectrics with Machine Learning Assistance for High Energy Storage

Banghua Zhu, Xingcheng Wang, Ji Zhang, Huajie Luo, Laijun Liu, Jöerg C. Neuefeind, Hui Liu, Jun Chen

2025Journal of the American Chemical Society24 citationsDOI

Abstract

High-entropy tactics present exceptional promise in advancing the dielectric energy storage of relaxor ferroelectrics, thereby benefiting various pulsed-power electronic systems. However, their vast composition space poses challenges in the rational design of a high-performance system. Herein, we present a machine learning-supplemented strategy to design high-entropy relaxors, demonstrating an ultrahigh energy-storage density of 17.2 J cm –3 and high efficiency of 87% at a high breakdown strength of 79 kV mm –1 . By integrating six A -site and one B -site critical intrinsic features of constituent ions, deduced from a constructed random forest regression model, the (Bi 2/5 Na 1/5 K 1/5 Ba 1/5 )(Ti,Hf)O 3 high-entropy system is identified. Atomic-level local structural analysis reveals that incorporating these certified cations, with diverse local polar and lattice construction characteristics, results in a highly fluctuating local polarization structure. This favorable structure is characterized by pronounced orientation disorder and a broadly distributed length of unit-cell polarization vectors within the expanded lattice framework. Macroscopically, the optimized relaxor displays high dielectric susceptibility and large resistance. Moreover, a large discharge energy density of 5.8 J cm –3 and power energy density of 447 MW cm –3, along with outstanding operational stability, are achieved. This study presents a data-driven model to explore complex intrinsic features and facilitate the design of high-performance relaxors.

Topics & Concepts

ChemistryEntropy (arrow of time)Energy storageStatistical physicsThermodynamicsPhysicsPower (physics)Ferroelectric and Piezoelectric MaterialsElectronic and Structural Properties of OxidesMultiferroics and related materials
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