Designability of graphitic cones

Michael Treacy, J. Kilian

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Scopus citations


We show that, with topologically flexible seeds which are allowed to explore different growth modes, graphitic cones are inherently more "designable" than flat graphitic disks. The designability of a structure is the number of seed topologies encoding that structure. We illustrate designability with a simple model, where graphite grows onto C n(5≤n≤30) ring seeds. For a wide range of ring sizes, cones are the most likely topological outcome. Results from the model agree well with data from special cone-rich carbon black samples. The concept of designability allows entropy to be incorporated into the "pentagon road" model of the formation of curved graphitic structures.

Original languageEnglish (US)
Title of host publicationMaterials Research Society Symposium - Proceedings
EditorsJ Robertson, T Friedmann, D Geohegan, D Luzzi, R Ruoff
StatePublished - 2001
Externally publishedYes
EventNanotubes, Fullerenes, Nanostructured and Disordered Carbon - San Francisco, CA, United States
Duration: Apr 17 2001Apr 20 2001


OtherNanotubes, Fullerenes, Nanostructured and Disordered Carbon
Country/TerritoryUnited States
CitySan Francisco, CA

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials


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