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Geometric conservation laws for perfect Y-branched carbon nanotubes

  • Yajun Yin*
  • , Yuli Chen
  • , Jie Yin
  • , Kezhi Huang
  • *Corresponding author for this work
  • Tsinghua University

Research output: Contribution to journalArticlepeer-review

Abstract

Based on the integral theorems for mean curvature and Gauss curvature, geometric conservation laws for perfect Y-branched carbon nanotubes are presented. From the conservation laws, simple geometric regulations observed by spontaneous Y-branched carbon nanotubes are revealed, i.e.the angle between two neighbouring branches should be 120° and the radii of the three branches should be equal. These results coincide well with all experimental facts without exceptions. Possible applications of the geometric regulations to the design of super carbon nanostructures with self-similarities are predicted.

Original languageEnglish
Article number027
Pages (from-to)4941-4945
Number of pages5
JournalNanotechnology
Volume17
Issue number19
DOIs
StatePublished - 14 Oct 2006
Externally publishedYes

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