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An Improved Self-Adaptive Differential Evolution with the Neighborhood Search Algorithm for Global Optimization of Bimetallic Clusters
journal contributionposted on 2022-05-09, 19:22 authored by Wei-Hua Yang, Ya-Meng Li, Jian-Xiang Bi, Rao Huang, Gui-Fang Shao, Tian-E Fan, Tun-Dong Liu, Yu-Hua Wen
Global optimization of multicomponent cluster structures is considerably time-consuming due to the existence of a vast number of isomers. In this work, we proposed an improved self-adaptive differential evolution with the neighborhood search (SaNSDE) algorithm and applied it to the global optimization of bimetallic cluster structures. The cross operation was optimized, and an improved basin hopping module was introduced to enhance the searching efficiency of SaNSDE optimization. Taking (PtNi)N (N = 38 or 55) bimetallic clusters as examples, their structures were predicted by using this algorithm. The traditional SaNSDE algorithm was carried out for comparison with the improved SaNSDE algorithm. For all the optimized clusters, the excess energy and the second difference of the energy were calculated to examine their relative stabilities. Meanwhile, the bond order parameters were adopted to quantitatively characterize the cluster structures. The results reveal that the improved SaNSDE algorithm possessed significantly higher searching capability and faster convergence speed than the traditional SaNSDE algorithm. Furthermore, the lowest-energy configurations of (PtNi)38 clusters could be classified as the truncated octahedral and disordered structures. In contrast, all the optimal (PtNi)55 clusters were approximately icosahedral. Our work fully demonstrates the high efficiency of the improved algorithm and advances the development of global optimization algorithms and the structural prediction of multicomponent clusters.
faster convergence speedbond order parametersadaptive differential evolutionptni )< subwork fully demonstratesglobal optimization algorithmstraditional sansde algorithm55 sub38 subneighborhood search algorithmmulticomponent cluster structuresbimetallic cluster structuresimproved sansde algorithmneighborhood searchcluster structuresglobal optimization> subimproved algorithmn sansde optimizationimproved selfmulticomponent clustersbimetallic clustersdisordered structuresvast numbertruncated octahedralstructural predictionsecond differencesearching efficiencyresults revealrelative stabilitiesquantitatively characterizehigh efficiencycross operationconsuming dueconsiderably timeapproximately icosahedral