Geometric constant defining shape transitions of carbon nanotubes under pressure

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Publication Type Journal Article
School or College College of Engineering
Department Materials Science & Engineering
Creator Liu, Feng
Other Author Zang, Ji; Treibergs, Andrejs; Han, Y.
Title Geometric constant defining shape transitions of carbon nanotubes under pressure
Date 2004-03
Description We demonstrate that when a single-walled carbon nanotube is under pressure it undergoes a series of shape transitions, first transforming from a circle to an oval and then from an oval to a peanut. Most remarkably, the ratio of the area of the tube cross sections at the second transition over that at the first transition appears as a constant, independent of the tube radius. Its accurate value is computed to be G = 0:819 469, by formulating a variational geometry problem to represent single-walled carbon nanotubes with a family of closed plane curves of fixed length and minimum bending energy. The implications of such a geometric constant in designing nanotube electromechanical pressure sensors are discussed.
Type Text
Publisher American Physical Society
Journal Title Physical Review Letters
Volume 92
Issue 10
DOI 10.1103/PhysRevLett.92.105501
citatation_issn 0031-9007
Subject Geometric constant; Shape transitions; Carbon nanotubes; Pressure
Subject LCSH Nanotubes
Language eng
Bibliographic Citation Zang, J., Treibergs, A., Han, Y., & Liu, F. (2004). Geometric constant defining shape transitions of carbon nanotubes under pressure. Physical Review Letters, 92(10), 105501.
Rights Management (c) American Physical Society http://dx.doi.org/10.1103/PhysRevLett.92.105501
Format Medium application/pdf
Format Extent 248,896 bytes
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Reference URL https://collections.lib.utah.edu/ark:/87278/s6417ffz