2003
DOI: 10.1103/physrevlett.90.053401
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Cluster Growing Process and a Sequence of Magic Numbers

Abstract: We present a new theoretical framework for modeling the cluster growing process. Starting from the initial tetrahedral cluster configuration, adding new atoms to the system, and absorbing its energy at each step, we find cluster growing paths up to the cluster sizes of more than 100 atoms. We demonstrate that in this way all known global minimum structures of the Lennard-Jones (LJ) clusters can be found. Our method provides an efficient tool for the calculation and analysis of atomic cluster structure. With it… Show more

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Cited by 83 publications
(70 citation statements)
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“…These techniques have been particularly useful in the study of finite systems and cluster growing in the phase transitions of atomic systems, including Lennard-Jones models ͑see Ref. 30 and references therein͒, and homopolymers. 31,32 As in the formation of liquid crystalline phases, it is apparent from the beginning that molecular flexibility plays a crucial role in the stabilization of the solid phase.…”
Section: Introductionmentioning
confidence: 99%
“…These techniques have been particularly useful in the study of finite systems and cluster growing in the phase transitions of atomic systems, including Lennard-Jones models ͑see Ref. 30 and references therein͒, and homopolymers. 31,32 As in the formation of liquid crystalline phases, it is apparent from the beginning that molecular flexibility plays a crucial role in the stabilization of the solid phase.…”
Section: Introductionmentioning
confidence: 99%
“…Many experimental works were carried out by using physical or chemical methods, such as ionic spray, thermal evaporation, chemical action deposition, and so on, to obtain some nice particles or clusters consisted of dozens to hundreds of atoms in special configurations ( Echt et al, 1981;Knight et al, 1984;Harris et al, 1984;Schriver et al, 1990;Robles et al, 2002;Magudoapathy et al, 2001;Spiridis et al, 2001;Liu X H et al, 1998;Yamamoto et al, 2001;Bruhl R et al, 2004;Alexander & Moshe, 2001) . The theoretical works were mainly carried out on diversified individual clusters configured by accumulating atoms according to some fixed pattern (Liu C. S. et al, 2001;Solov'yov et al, 2003;Doye & Meyer, 2005;Li H. & Pederiva, 2003;Ikeshoji et al, 1996;Wang L et al, 2002;Haberland et al, 2005;Joshi et al, 2006;Noya et al, 2007;Cabarcos et al, 1999;Orlando & James, 1999;Alfe, 2003). However, it is interesting that the similar clusters or aggregations have been found in some liquid metals during rapid solidification processes in our MD simulations ( Liu R. S. et al, 1992a( Liu R. S. et al, , 1992b( Liu R. S. et al, , 1995( Liu R. S. et al, , 2005a( Liu R. S. et al, , 2005b( Liu R. S. et al, , 2007a( Liu R. S. et al, , 2007b( Liu R. S. et al, , 2007cDong K. J. et al, 2003;Liu F. X. et al, 2009;Hou Z. Y. et al, 2009Hou Z. Y. et al, , 2010a…”
Section: Introductionmentioning
confidence: 88%
“…The cluster geometries have been determined with the use of the cluster fusion algorithm [65] which belongs to the class of genetic global optimization methods. This method has been successfully used in order to find the optimized geometries of various types of metal clusters [66][67][68].…”
Section: Computational Detailsmentioning
confidence: 99%