Dislocation Theory of Chirality-Controlled Nanotube Growth

The periodic makeup of carbon nanotubes suggests that their formation should obey the principles established for crystals. Nevertheless, this important connection remained elusive for decades and no theoretical regularities in the rates and product type distribution have been found. Here we contend...

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Published inProceedings of the National Academy of Sciences - PNAS Vol. 106; no. 8; pp. 2506 - 2509
Main Authors Ding, Feng, Harutyunyan, Avetik R., Yakobson, Boris I., Curl, Robert F.
Format Journal Article
LanguageEnglish
Published United States National Academy of Sciences 24.02.2009
National Acad Sciences
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Summary:The periodic makeup of carbon nanotubes suggests that their formation should obey the principles established for crystals. Nevertheless, this important connection remained elusive for decades and no theoretical regularities in the rates and product type distribution have been found. Here we contend that any nanotube can be viewed as having a screw dislocation along the axis. Consequently, its growth rate is shown to be proportional to the Burgers vector of such dislocation and therefore to the chiral angle of the tube. This is corroborated by the ab initio energy calculations, and agrees surprisingly well with diverse experimental measurements, which shows that the revealed kinetic mechanism and the deduced predictions are remarkably robust across the broad base of factual data.
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Author contributions: F.D., A.R.H., and B.I.Y. performed research; B.I.Y. designed research; F.D. and A.R.H. analyzed data; and F.D. and B.I.Y. wrote the paper.
Communicated by Robert F. Curl, Jr., Rice University, Houston, TX, December 22, 2008
ISSN:0027-8424
1091-6490
DOI:10.1073/pnas.0811946106