Abstract
A molecular dynamics simulation study has been performed for a large-sized system consisting of106 liquid metal Al atoms to investigate the formation and magic number characteristics ofvarious clusters formed during solidification processes. The cluster-type index method(CTIM) is adopted to describe various types of cluster by basic clusters. It is demonstratedthat the icosahedral cluster (12 0 12 0) is the most important basic cluster, and that it playsa critical role in the microstructure transition. A new statistical method has been proposedto classify the clusters as some group levels according to the numbers of basic clusterscontained in each cluster. The magic numbers can be determined by the respective peakvalue positions of different group levels of clusters, and the magic number sequencein the system is 13, 19, 25(27), 31(33), 38(40), 42(45), 48(51), 55(59), 61(65),67,... the numbers in the brackets are the second magic number of the corresponding group levelsof clusters. This magic number sequence is in good agreement with the experimental resultsobtained by Schriver and Harris et al, and the experimental results can be reasonably wellexplained.
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