How accurate can the determination of chiral indices of carbon nanotubes be? |
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Authors: | M Kociak K Hirahara K Suenaga S Iijima |
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Institution: | (1) JST-ICORP Nanotubulites Project. Meijo university, Nagoya 468-8502, Japan, JP;(2) National Institute of Advanced Industrial Science and Technology (AIST) Tsukuba, 305-8565, Japan, JP |
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Abstract: | We present a general and systematic method for determining the chiral indices of carbon nanotubes. This method relies on the
semi-quantitative analysis of experimental selected area diffraction pattern intensities, together with extensive comparison
with kinematic theory. We show how to retrieve the chiral indices of single walled or multiwalled carbon nanotubes, even when
their radii are large (up to approximately 40 ?). All theoretical and experimental sources of errors are discussed. By discussing
the experimental case of a double-walled carbon nanotube, we show how it is possible to determine the chiral indices of each
of its constituant tubes independently, by analyzing parts of the diffraction pattern where the contributions of these tubes
do not interfere. Using the parts where all the contributions do interfere, we successfully crosschecked independently the
preceding determination.
Received 23 December 2003 Published online 7 May 2003 |
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Keywords: | PACS 61 14 Lj Convergent-beam electron diffraction selected-area electron diffraction nanodiffraction – 61 46 +w Nanoscale materials: clusters nanoparticles nanotubes and nanocrystals – 81 07 De Nanotubes |
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