Quasiperiodic icosahedral graphite sheets and high-genus fullereneswith nonpositive Gaussian curvature

Humberto Terrones, Mauricio Terrones

Research output: Contribution to journalArticle

36 Scopus citations

Abstract

A graphite model obtained by decorating a quasiperiodic icosahedral surface with heptagonal and hexagonal rings of (Formula presented) hybridized carbon is presented. We have generated closed compact fullerenes with icosahedral symmetry, genus 11, without dangling bonds and no pentagonal rings (no positive curvature). Additionally, cubic fullerenelike structures ((Formula presented) symmetry) with genus 5, without dangling bonds and no pentagonal rings have also been obtained. Extending this idea, closed perforated tubules with no pentagonal rings and genus higher than 5 are also generated. The geometry and stability of these nanostructures are discussed.

Original languageEnglish (US)
Pages (from-to)9969-9974
Number of pages6
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume55
Issue number15
DOIs
StatePublished - 1997

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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