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Löffler M, Weissker U, Mühl T, et al. Robust determination of Young's modulus of individual carbon nanotubes by quasi-static interaction with Lorentz forces. Ultramicroscopy. 2010;111(2):155-8doi: 10.1016/j.ultramic.2010.10.019.
Löffler, M., Weissker, U., Mühl, T., Gemming, T., & Büchner, B. (2011). Robust determination of Young's modulus of individual carbon nanotubes by quasi-static interaction with Lorentz forces. Ultramicroscopy, 111(2), 155-8. https://doi.org/10.1016/j.ultramic.2010.10.019
Löffler, M, et al. "Robust determination of Young's modulus of individual carbon nanotubes by quasi-static interaction with Lorentz forces." Ultramicroscopy vol. 111,2 (2011): 155-8. doi: https://doi.org/10.1016/j.ultramic.2010.10.019
Löffler M, Weissker U, Mühl T, Gemming T, Büchner B. Robust determination of Young's modulus of individual carbon nanotubes by quasi-static interaction with Lorentz forces. Ultramicroscopy. 2011 Jan;111(2):155-8. doi: 10.1016/j.ultramic.2010.10.019. Epub 2010 Nov 07. PMID: 21185460.
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Ultramicroscopy. 2011 Jan;111(2):155-8. doi: 10.1016/j.ultramic.2010.10.019. Epub 2010 Nov 07.

Robust determination of Young's modulus of individual carbon nanotubes by quasi-static interaction with Lorentz forces.

Ultramicroscopy

M Löffler, U Weissker, T Mühl, T Gemming, B Büchner

Affiliations

  1. Leibniz Institute for Solid State and Materials Research IFW Dresden, PF 270116, 01171 Dresden, Germany. [email protected]

PMID: 21185460 DOI: 10.1016/j.ultramic.2010.10.019

Abstract

Young's modulus of an individual multi-wall carbon nanotube has been determined by the method of quasi-static transverse bending due to a Lorentz force observed in situ in a transmission electron microscope. The deflection of the nanotube allows the determination of Young's modulus using Euler-Bernoulli's beam equation. Because we determine the specific dependence of the deflection on the position along the nanotube axis, it is possible to gain insight into the type of mountings and furthermore allows for an estimation of the homogeneity of the nanotube. Both properties have been found to be of importance to determine Young's modulus. It was found to be higher by up to a factor of 1.6 compared to the value obtained by assuming rigid mountings.

Copyright © 2010 Elsevier B.V. All rights reserved.

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