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  1. 030 理工学 Science & engineering
  2. 学術雑誌掲載論文

Radial deformation and stability of single-wall carbon nanotubes under hydrostatic pressure

https://iwate-u.repo.nii.ac.jp/records/9907
https://iwate-u.repo.nii.ac.jp/records/9907
582a1d47-8008-42e3-8aac-f95947909e28
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prb-v74i11p115401.pdf prb-v74i11p115401.pdf (683.2 kB)
アイテムタイプ 学術雑誌論文 / Journal Article(1)
公開日 2010-02-09
タイトル
タイトル Radial deformation and stability of single-wall carbon nanotubes under hydrostatic pressure
資源タイプ
資源タイプ識別子 http://purl.org/coar/resource_type/c_6501
資源タイプ journal article
著者 Hasegawa, Masayuki

× Hasegawa, Masayuki

Hasegawa, Masayuki

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Nishidate, Kazume

× Nishidate, Kazume

Nishidate, Kazume

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著者(機関)
値 Faculty of Engineering, Iwate University
登録日
日付 2010-02-09
書誌情報 Physical Review B Condensed Matter and Materials Physics

巻 74, 号 11, p. 115401-1-115401-10, 発行日 2006-01-01
ISSN
収録物識別子タイプ ISSN
収録物識別子 1098-0121
Abstract
内容記述タイプ Other
内容記述 In this paper we have developed a theory of energetics for isolated single-wall carbon nanotubes SWNTs
deformed in the radial direction, and applied this theory to investigate their deformation characteristics and
stability under hydrostatic pressure. The starting point of the theory is the strain energy of SWNTs predicted by
ab initio calculations based on the density functional theory DFT, which shows the same behavior as that
obtained for the continuum elastic shell model. We extend this result for inflated SWNTs with circular cross
section to calculate the deformation energy of a deformed SWNT without performing further DFT calculations.
This extension is then complemented by a van der Waals interaction, which is not fully taken into account in
the DFT approximations currently in use but becomes important in highly deformed tubes. We find that the
minimum pressure, P1, for the radial deformation to occur is proportional to the inverse cube of tube diameter,
D, in agreement with the recent theoretical predictions as well as the classical theory of buckling. The radial
deformation of SWNTs with D2.5 nm is found to be elastic up to very high pressure and they hardly
collapse. On the other hand, SWNTs with D2.5 nm show a plastic deformation and collapse if the applied
hydrostatic pressure exceeds a critical value, which is about 30–40% higher than P1 and also varies as D−3
though approximately. These SWNTs with large D collapse when the cross-sectional area is about 60% reduced
with respect to the circular one. It is also found that for SWNTs with D7.0 nm, the plastically deformed
collapsed state is more stable than the inflated one. This critical value of D is somewhat larger than previously
predicted.
出版者
出版者 American Physical Society
権利
権利情報 © 2006 The American Physical Society
DOI
関連タイプ isIdenticalTo
識別子タイプ DOI
関連識別子 10.1103/PhysRevB.74.115401
著者版フラグ
出版タイプ VoR
出版タイプResource http://purl.org/coar/version/c_970fb48d4fbd8a85
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