Clusters of clusters: self-organization and self-similarity in the intermediate stages of cluster growth of Au-Ag supraclusters.

A systematic structural investigation of a new series of high-nuclearity Au-Ag clusters containing 25, 37, 38, and 46 metal atoms led to the description of these clusters as "clusters of clusters" based on vertex-sharing icosahedra as building blocks. Based on the observed structures, a growth sequence is proposed here for the formation of these secondary clusters (clusters of clusters) from a single 13-atom icosahedron to a 127-atom icosahedron of icosahedra via successive additions of vertex-sharing icosahedral units. This cluster-of-clusters growth mechanism parallels the atom-by-atom growth pathway for the primary clusters from a single atom to a 13-atom icosahedron. It is hypothesized that the formation of these clusters of clusters is a manifestation of the spontaneous self-organization and self-similarity processes often observed in nature. It is conceivable that the concept of cluster of clusters may be important in the intermediate stages of some cluster growth as exemplified by the polyicosahedral growth of Au-Ag supraclusters.