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Research Article | Open Access

Data-driven discovery of high-performance zinc-ion battery cathodes by a machine learning strategy integrating energy gradient and activation area ratio

Yating Deng1,§Yujie Jiang1,§Wei Li1,§Wanyi Li1Ruiyang Liang2 ( )Bin Xiao3Vitaly Bondarenko4Hanna Bandarenka4Jinzhao Wang1Guohua Cai1Xiaoke Wang1Ting Li1Jing Zhang1Dehong Chen1Zhenjiang Li1 ( )Xiuquan Gu3Yanwei Sui3Eugene Chubenko4Jian Zhao1 ( )
College of Materials Science and Engineering, College of Chemistry and Molecular Engineering, State Key Laboratory of Advanced Optical Polymer and Manufacturing Technology, Qingdao University of Science and Technology, Qingdao 266042, China
School of Materials Science and Engineering, Liaoning University of Technology, Jinzhou 121000, China
School of Materials Science and Physics, China University of Mining and Technology, Xuzhou 221116, China
Vitaly Bondarenko, Hanna Bandarenka, Eugene Chubenko, Belarusian State University of Informatics and Radioelectronics, 220013P, Brovka str. 6, Minsk, Belarus

§ Yating Deng, Yujie Jiang, and Wei Li contributed equally to this work.

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Abstract

The heteroatom doping is considered a promising strategy for enhancing the performance of the MnO2-based electrode materials for zinc-ion battery (ZIB). However, quickly discovering the high-performance doped-MnO2 remains significant challenge to simultaneously give consideration to both the various metal types, doping concentration, and the essential screening mechanism. Herein, a novel research paradigm is developed by combining machine learning predictions with systematic experiments and theoretical calculations for solving this issue. The results simulated by machine learning from the two-dimensional perspective reveal that only when Co species are introduced into δ-MnO2 can zinc ions (Zn2+) maintain the smaller binding energy gradient distribution and larger activation area ratio among the constructed various doping system database, further achieving qualitative “structure–activity” descriptor. Moreover, the density functional theory (DFT) calculations systematically unveil optimal adsorption energy/Gibbs free energy, higher negative integral crystal orbital Hamilton population (−ICOHP) (0.0125 Ha), and lower Zn2+ diffusion barrier (0.978 eV) for moderate Co-doped δ-MnO2 with oxygen vacancy (Co(M)-δ-MnO2−x, where (M) denotes moderate Co-doping concentration) compared with the other samples, which can preserve the Zn2+ adsorption/desorption equilibrium and the structure integration, and accelerate the reaction kinetics. Benefiting from these advantages, the obtained ZIB using the optimized cathode can present the large specific capacity of 655.7 mAh·g−1 at 0.5 A·g−1 and high rate capability (209.8 mAh·g−1 at 20 A·g−1), which is far higher than those of the other compound cathode materials. This study offers new insights for the design and optimization of doped-δ-MnO2 cathodes in ZIBs, and the obtained universal theoretical guidance is also suitable for constructing other high-performance layered electrode materials.

Graphical Abstract

Co(M)-δ-MnO2−x (where (M) denotes moderate Co-doping concentration) is optimized through machine learning and density functional theory (DFT) calculations, which shows the large specific capacity and high rate capability.

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Nano Research
Article number: 94908928

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Cite this article:
Deng Y, Jiang Y, Li W, et al. Data-driven discovery of high-performance zinc-ion battery cathodes by a machine learning strategy integrating energy gradient and activation area ratio. Nano Research, 2026, 19(8): 94908928. https://doi.org/10.26599/NR.2026.94908928

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Received: 22 May 2026
Revised: 04 June 2026
Accepted: 09 June 2026
Published: 29 June 2026
© The Author(s) 2026. Published by Tsinghua University Press.

This is an open access article under the terms of the Creative Commons Attribution 4.0 International License (CC BY 4.0, https://creativecommons.org/licenses/by/4.0/).