Application of Skeletal Numbers to Categorize Chemical Clusters

The book introduces the concept of application of skeletal numbers to categorize skeletal elements, fragments, molecules and clusters into cluster series. It explains their origin from the series formulas S =4n+q and S=14n+q or the cluster valence electron equation Ve=8n-2K and 18n-2K. The capping concept and the K(n) parameter based on series are introduced and explained. The classification of clusters into [Mx] clans and S=4n+q families are introduced. The three major cluster series are identified. The ideal distribution of ligands and charges onto skeletal elements is explained. Categorization of Matryoshka clusters using the 4N series for the first time is also covered. A new formula for calculating cluster valence electrons Ve=4+2x+2(n-1) for main group elements and Ve=14+2x+12(n-1) for transition metal elements is introduced for the first time.