Abstract
In an ensemble of nanoscale crystalline clusters, those of magic sizes are evidenced by their greater number. The respective cluster size distribution is multipeaked and cannot be described by the classical nucleation theory. Employing the atomistic nucleation theory, we present expressions for the cluster size distribution in stationary nucleation of two- or three-dimensional crystals. We show that this distribution is multipeaked at magic cluster sizes and compare these sizes with those obtained from computer simulations of cluster evolution on square Kossel–Stranski or Ising lattice and from experiments on formation of Si islands on Si(111).
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