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Combinatorial Enumeration of Heterocyclic Diamantane Analogs. Part I: Application of the Obligatory Minimum Valency Restriction

Robert M. Nemba, C. Bissielou, J. J. Anguile, T. Makani and P. Issofa

A combinatorial enumeration under the obligatory minimum valency (OMV) restriction is carried out for the series of diamanane analogs where hetero atoms replacing carbon atoms in the parent diamantane are N or O. The pattern inventory includes an indirect subduction of the Coset Representations (CRs) D3d (/C3v) and D3d (/Cs) assigned, respectively to bridgehead and bridge carbon atoms followed by symmetry adapted calculations using the unit subduced cycle index approach