Higher Dimensions of Clusters of Intermetallic Compounds

The author has previously proved that diffraction patterns of intermetallic compounds (quasicrystals) have translational symmetry in the space of higher dimension. In this chapter, it is proved that the metallic nanoclusters also have a higher dimension. The internal geometry of clusters was investigated. General expressions for calculating the dimension of clusters are obtained from which it follows that the dimension of metallic nanoclusters increases linearly with increasing number of cluster shells. The dimensions of many experimentally known metallic nanoclusters are determined. It is shown that these clusters, which are usually considered to be three-dimensional, have a higher dimension. The Euler-Poincaré equation was used, and the internal geometry of clusters was investigated.

The mechanism of metal exchange in non-metallic nanoclusters

We substituted gold atoms in fcc structured Au28 and Au36 nanoclusters with a Ag(i)SR complex and obtained AgxAu28−x and AgxAu36−x nanoclusters, respectively.