engleski

Perfect clar structures by Capra operation

The third basic operation on maps obeying the Goldberg multiplication rule: predicts our "Capra" Ca-operation for the series: Le: (1, 1), m = 3 ; Q: (2, 0), m = 4 and Ca: (2, 1), m = 7. Ca-operation insulates each parent face by its own hexagons (i.e., corannulene substructures), in contrast to Le and Q. In the present paper it is shown that Ca operation produce, when applied on Clar polyhedra (i.e., those having perfect Clar structures, PCS), objects having a disjoint set of corannulenoid regions. Any perfect Clar-like corannulenoid structure PCorS is a PCS. The Capra transform of a convex polyhedron or a polyhex torus is a PCorS if and only if it is a PCS. Such structures can be named fully-resonant-corannulenoid molecules, and there are expected to be maximally stable in a localized valence bond picture.

Ca-operation; Clar polyhedra; corannulenoid structure; Goldberg multiplication rule

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