2011
DOI: 10.2174/1874364101105010117
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Heliphenes and Related Structures

Abstract: This review discusses from a qualitative viewpoint three-dimensional structures (hydrocarbons and carbon allotropes) that can be obtained from the 4,6,12-archimedean tiling of the Euclidean plane (graphenylene net) or that are related to subgraphs derived from the graphenylene net, insisting on helical structures called [n]heliphenes with alternating 4-and 6-membered conjugated rings. Analogies with benzenoid [n]helicenes allow proposals for non-planar heliphenerelated structures that have yet to be explored.

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Cited by 27 publications
(18 citation statements)
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“…Graphenylene is a two dimensional sp 2 -carbon network formed by the fusion of hexatomic rings and tetratomic rings. Concurrently with the present work, the structure of graphenylene was proposed in the literature by Balaban and Vollhardt 15 . Graphenylene can be obtained by substituting each hexagonal ring in graphene with a circular [6] phenylene unit, forming a two dimensional carbon honeycomb network that possesses the same point group D 6h as graphene ( Fig.…”
supporting
confidence: 60%
“…Graphenylene is a two dimensional sp 2 -carbon network formed by the fusion of hexatomic rings and tetratomic rings. Concurrently with the present work, the structure of graphenylene was proposed in the literature by Balaban and Vollhardt 15 . Graphenylene can be obtained by substituting each hexagonal ring in graphene with a circular [6] phenylene unit, forming a two dimensional carbon honeycomb network that possesses the same point group D 6h as graphene ( Fig.…”
supporting
confidence: 60%
“…This same conclusion was drawn in the case of antikekulene (structure 6 of Ref. 14, also known as cyclic [6]phenylene 52 ), examined by the present authors, in the context of the AWA rule, in Refs. 14 and 1.…”
supporting
confidence: 85%
“…Cyclic [6] naphthylene (5) was recently discussed by Balaban and Vollhardt. 52 The current pattern predicted here is dramatically different from that found in the benzenoid [4n]-within-[4m] alternant-hydrocarbons 3 and 4 (whose current maps are illustrated in Figure 5). The two types of symmetrically distinct six-membered rings on the periphery of 5 do all still bear diamagnetic ring-currents (though much smaller ones than those associated with the corresponding six-membered rings in 1-4); however, the six four-membered rings in 5, which each contribute one bond to the outer perimeter, support strongly paramagnetic ring-currents.…”
contrasting
confidence: 72%
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