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Inferring Physical Parameters from Images of Vibrating Carbon Nanotubes

Published online by Cambridge University Press:  07 August 2002

M.M.J. Treacy ,
A. Krishnan  and
P.N. Yianilos
M.M.J. Treacy*
Affiliation:
NEC Research Institute, Inc., 4 Independence Way, Princeton, NJ 08540-6685
A. Krishnan
Affiliation:
NEC Research Institute, Inc., 4 Independence Way, Princeton, NJ 08540-6685
P.N. Yianilos
Affiliation:
NEC Research Institute, Inc., 4 Independence Way, Princeton, NJ 08540-6685
*
*Corresponding author
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Abstract

We describe a hidden parameter inferencing algorithm for deducing the length, width, and vibration profile from images of thermally excited single-wall carbon nanotubes. With accurate estimates of these parameters, the Young’s modulus can be deduced. The algorithm is sensitive to shot noise in the image, primarily because of the low nanotube image contrast. Noise causes the nanotube length and width to be overestimated, and the vibration amplitude to be underestimated. After correcting for shot noise, we infer an average value of the Young’s modulus of 〈Y〉= 1.20±0.20 TPa, which is larger than the currently accepted value for graphite.

Keywords

nanotubesYoung’s modulushidden parameter inferencing
Type
Research Article
Information
Microscopy and Microanalysis , Volume 6 , Issue 4 , July 2000 , pp. 317 - 323
Copyright
Copyright © Microscopy Society of America 2000

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