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Enhancing global optimization for bimetallic clusters: an adaptive multi-strategy differential evolution algorithm.

Xiaomin Wu1, Miao He2, Yousi Lin1

  • 1School of Opto-Electronic and Communication Engineering, Xiamen University of Technology, Xiamen, China. wuxiaomin@xmut.edu.cn.

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|November 10, 2025
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Summary
This summary is machine-generated.

We developed an adaptive multi-strategy differential evolution (AMSDE) algorithm to find the lowest-energy structures of bimetallic clusters. This new method offers faster convergence and improved stability for nanoalloy design.

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Area of Science:

  • Computational chemistry and materials science
  • Algorithm development for complex systems

Background:

  • Identifying stable low-energy structures of bimetallic clusters is crucial for designing advanced catalytic materials.
  • Traditional optimization algorithms often suffer from premature convergence to local minima, limiting their effectiveness.

Purpose of the Study:

  • To develop an efficient and robust algorithm for determining the global minimum energy structures of bimetallic clusters.
  • To investigate the structural, energetic, and electronic properties of platinum-nickel (Pt-Ni) clusters.

Main Methods:

  • Development of an adaptive multi-strategy differential evolution (AMSDE) algorithm.
  • AMSDE employs adaptive population sizing and three cooperative, dynamically evolving populations for global exploration, local exploitation, and diversity preservation.
  • Systematic evaluation of Pt-Ni clusters (3-23 atoms) using the AMSDE framework.

Main Results:

  • The AMSDE algorithm demonstrates faster convergence, higher stability, and lower energy compared to traditional methods.
  • Analysis revealed detailed energy, structural stability, and electronic properties of small and medium-sized Pt-Ni clusters.
  • Identified structural preferences and stability trends in Pt-Ni clusters, including magic-number configurations.

Conclusions:

  • The AMSDE algorithm provides an efficient framework for structural optimization of nanoalloy clusters.
  • The study offers atomistic insights into the behavior of Pt-Ni clusters, aiding in the rational design of catalytic materials.