Triply periodic structures are the usual subjects of crystallographic studies while the objects of these are the crystals or reticulations. There are amorphous materials with no ordered atomic arrays and some ordered structures with no translational periodicity, eventually called quasicrystals. This study presents a variety of five-fold symmetry molecular networks with 1-periodicity. The construction and topology (the genus calculation included) of these structures is described in terms of the net parameters, in a crystallographic manner.
1-Periodic Nanostructures / M.V. Diudea, V.R. Bucila, D.M. Proserpio. - In: MATCH. - ISSN 0340-6253. - 70:2(2013), pp. 545-564.
1-Periodic Nanostructures
D.M. Proserpio
2013
Abstract
Triply periodic structures are the usual subjects of crystallographic studies while the objects of these are the crystals or reticulations. There are amorphous materials with no ordered atomic arrays and some ordered structures with no translational periodicity, eventually called quasicrystals. This study presents a variety of five-fold symmetry molecular networks with 1-periodicity. The construction and topology (the genus calculation included) of these structures is described in terms of the net parameters, in a crystallographic manner.
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