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Open AccessArticle

Empirical Equation Based Chirality (n, m) Assignment of Semiconducting Single Wall Carbon Nanotubes from Resonant Raman Scattering Data

Department of Electrical Engineering and Computer Science, Northern Arizona University,South San Francisco Street, Flagstaff, AZ 86011, USA
Nanomaterials 2013, 3(1), 1-21; https://doi.org/10.3390/nano3010001
Received: 2 November 2012 / Revised: 30 November 2012 / Accepted: 6 December 2012 / Published: 24 December 2012
(This article belongs to the Special Issue CNT based Nanomaterials)
This work presents a technique for the chirality (n, m) assignment of semiconducting single wall carbon nanotubes by solving a set of empirical equations of the tight binding model parameters. The empirical equations of the nearest neighbor hopping parameters, relating the term (2n, m) with the first and second optical transition energies of the semiconducting single wall carbon nanotubes, are also proposed. They provide almost the same level of accuracy for lower and higher diameter nanotubes. An algorithm is presented to determine the chiral index (n, m) of any unknown semiconducting tube by solving these empirical equations using values of radial breathing mode frequency and the first or second optical transition energy from resonant Raman spectroscopy. In this paper, the chirality of 55 semiconducting nanotubes is assigned using the first and second optical transition energies. Unlike the existing methods of chirality assignment, this technique does not require graphical comparison or pattern recognition between existing experimental and theoretical Kataura plot. View Full-Text
Keywords: chiral index; chirality assignment; single wall carbon nanotube; resonant Raman spectroscopy; optical transition energy; tight-binding model; nearest-neighbor hopping parameter chiral index; chirality assignment; single wall carbon nanotube; resonant Raman spectroscopy; optical transition energy; tight-binding model; nearest-neighbor hopping parameter
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Arefin, M.S. Empirical Equation Based Chirality (n, m) Assignment of Semiconducting Single Wall Carbon Nanotubes from Resonant Raman Scattering Data. Nanomaterials 2013, 3, 1-21.

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