Graphene Edge Structures: Folding, Scrolling, Tubing, Rippling and Twisting

  • V. V. IvanovskayaEmail author
  • P. Wagner
  • A. Zobelli
  • I. Suarez-Martinez
  • A. Yaya
  • C. P. EwelsEmail author
Conference paper
Part of the Carbon Nanostructures book series (CARBON)


Conventional three-dimensional crystal lattices are terminated by surfaces, which can demonstrate complex rebonding and rehybridisation, localised strain and dislocation formation. Two-dimensional crystal lattices, of which graphene is the archetype, are terminated by lines. The additional available dimension at such interfaces opens up a range of new topological interface possibilities. We show that graphene sheet edges can adopt a range of topological distortions depending on their nature. Rehybridisation, local bond reordering, chemical functionalisation with bulky, charged, or multi-functional groups can lead to edge buckling to relieve strain, folding, rolling and even tube formation. We discuss the topological possibilities at a two-dimensional graphene edge, and under what circumstances we expect different edge topologies to occur. Density functional calculations are used to explore in more depth different graphene edge types.


High Resolution Transmission Electron Microscopy Graphene Plane High Resolution Transmission Electron Microscopy Graphene Layer Graphene Nanoribbon 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



This work has been carried out within the NANOSIM-GRAPHENE project \(\hbox{n}^{\circ}\)ANR-09-NANO-016-01 funded by the French National Agency (ANR) in the frame of its 2009 programme in Nanosciences, Nanotechnologies and Nanosystems (P3N2009). We thank the COST Project MP0901 “NanoTP” for support.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Institut des Matériaux Jean Rouxel (IMN)Université de NantesNantesFrance
  2. 2.Laboratoire de Physique des SolidesUniversité Paris-SudOrsayFrance
  3. 3.Nanochemistry Research InstituteCurtin University of TechnologyPerthAustralia

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