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This paper introduces a method of classifying clusters of the transition metal carbonyls and main group elements based on the 14n and 4n rules. The two rules are interrelated. They were derived from close analysis of the relationship between the number of skeletal atoms, valence electrons and eighteen electron rule in the case of transition elements, and octet rule for main group elements and the known bonds or linkages of simple clusters. The analysis reveals that there is an infinite range of carbonyl clusters some of which are yet to be discovered. These clusters occur in an orderly manner in of clusters pertaining to definite series. In addition to the categorization of clusters, tentative structures of some clusters especially the simple ones can be predicted. Furthermore, the method can identify the INNER CORE NUCLEAR CLUSTER of some large carbonyl clusters. The method is simple and enjoyable to use.

Classification of Transition Metal Carbonyl Clusters Using the 14n Rule Derived from Number Theory