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A strategy to find minimal energy nanocluster structures
Authors:José Rogan  Alejandro Varas  Juan Alejandro Valdivia  Miguel Kiwi
Institution:1. Departamento de Física, Facultad de Ciencias, Universidad de Chile, , Santiago, Chile, 9170124;2. Departamento de Física de Materiales, Nano‐Bio Spectroscopy Group and ETSF Scientific Development Centre, Universidad del País Vasco UPV/EHU, , E‐20018 San Sebastián, Spain
Abstract:An unbiased strategy to search for the global and local minimal energy structures of free standing nanoclusters is presented. Our objectives are twofold: to find a diverse set of low lying local minima, as well as the global minimum. To do so, we use massively the fast inertial relaxation engine algorithm as an efficient local minimizer. This procedure turns out to be quite efficient to reach the global minimum, and also most of the local minima. We test the method with the Lennard–Jones (LJ) potential, for which an abundant literature does exist, and obtain novel results, which include a new local minimum for LJ13, 10 new local minima for LJ14, and thousands of new local minima for urn:x-wiley::media:jcc23419:jcc23419-math-0001. Insights on how to choose the initial configurations, analyzing the effectiveness of the method in reaching low‐energy structures, including the global minimum, are developed as a function of the number of atoms of the cluster. Also, a novel characterization of the potential energy surface, analyzing properties of the local minima basins, is provided. The procedure constitutes a promising tool to generate a diverse set of cluster conformations, both two‐ and three‐dimensional, that can be used as an input for refinement by means of ab initio methods. © 2013 Wiley Periodicals, Inc.
Keywords:optimization  global minimum  local minima  Lennard–  Jones pair potential  energy landscape
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