The Geometry of Higher-Dimensional Multi-Shell Clusters With Common Center and Different Centers

Abstract

In this article, it is shown that the dimension of a metal skeleton of giant palladium cluster, containing 561 atoms in five shells, is 8. The claims of some authors that the palladium cluster in this case is an E8 lattice are groundless. The internal geometry of multi-shell metal clusters with ligands and core was investigated. It is proved that the multi-shell clusters with common center and different centers have a higher dimension. Clusters with ligands and a structural unit octahedron exist with different metals in the core. A spatial image of the cobalt tetra-anion cluster is presented. It is proved that its dimension is 5. It is considered homo-element metal cycles with ligands. For example, a spatial image of the three nuclear carbonyls of ruthenium and osmium it is build. It was proved that the ligands in the three nuclear carbonyls of ruthenium and osmium do not form a ligand polyhedron, as was previously assumed. The construction of cluster in this case can be divided into two polytopes dimension of 4.