Student or educator? Sign up with your school email and get 6 months of Pro free.
Cited by 344

The DOI matches its Crossref record.

Dislocation theory of chirality-controlled nanotube growth

Open access
Ding, Feng, Harutyunyan, Avetik R., Yakobson, Boris I.·2009·Proceedings of the National Academy of Sciences

Abstract

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.

Overview

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1073/pnas.0811946106

Cites

Statistics

Verification

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Citations

Cited by

See all 344

Metadata

Authors
Ding, F., Harutyunyan, A. R., & Yakobson, B. I.
Venue
Proceedings of the National Academy of Sciences
Published
2009-02-24
Volume
106
Issue
8
Pages
2506-2509
ISSN
  • 0027-8424 (ISSN-L)
  • 1091-6490
OpenAlex
W2018870753
Cited by
344
References
0
FWCI
14.68
Type
journal article
Language
en
Open access
green

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review

How to cite

Cite CoChat for the checks on this page, and the paper for its own findings.

This page
CoChat. (2026). Citation check: Dislocation theory of chirality-controlled nanotube growth. https://app.cochat.ai/papers/10.1073/pnas.0811946106
The paper
Ding, F., Harutyunyan, A. R., & Yakobson, B. I. (2009). Dislocation theory of chirality-controlled nanotube growth. Proceedings of the National Academy of Sciences. https://doi.org/10.1073/pnas.0811946106

Data sources

Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.