Symmetries of Hexagonal Molecular Graphs on the Torus

Symmetries of Hexagonal Molecular Graphs on the Torus
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发表时间:
2000
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通讯作者:
Dragan Maru
Dragan Maru
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作者:
Dragan Maru

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在球状富勒烯的发现和合成之后,一个自然的问题出现了,即是否存在被赋予不同名称的环形石墨状碳结构,例如环形graphitoides或torusenes(参见例如参考文献10)。第1-5段)。事实上,它们最近已经被实验检测到(见参考文献4)。它们的图形是三次(三价)的,嵌入到环面上。这些物体的几何形状可能为将反应基质保持在适当位置提供新的机会。与需要十二个五边形面的普通富勒烯不同,torusenes可以完全由六边形镶嵌。
Following the discovery and synthesis of spheroidal fullerenes, a natural question arises as to whether there exist torus-shaped graphite-like carbon structures which were given different names such as toroidal graphitoides or torusenes (see for instance Refs. 1–5). Indeed, they have been recently experimentally detected (see Ref. 4). Their graphs are cubic (trivalent), embedded onto torus. The geometry of these objects might afford new opportunities for holding reacting substrates in position. Unlike ordinary fullerenes that need the presence of twelve pentagonal faces, torusenes can be completely tessellated by hexagons.