Carbon Nanotube | Diameter | Calculation from RBM Wavenumber

The diameter of SWNT was calculated from the RBM wavenumber. The figure below shows a Raman spectrum of a single-walled carbon nanotube (SWNT). By Raman spectroscopy, the RBM, D-band and G-band peaks are observed from the low-wavenumber end as typical peaks.
  • RBM (Radial Breathing Mode): 100 to 300 cm-1, vibration at which the nanotube diameter contracts and expands
  • D-band: vicinity of 1350 cm-1, defect-derived peak
  • G-band: vicinity of 1590 cm-1, in-plane vibration of graphite
As the frequency of RBM is inversely proportional to the reciprocal of the diameter, it can be used to determine the nanotube diameter.
D (nm) = 248/ω = 248/184 = 1.3 (nm)

Whereas Raman spectroscopy focuses on average values, SPM (Scanning Probe Microscopy) allows each diameter to be individually viewed.

Raman Spectrum of Single-Walled Carbon Nanotube (SWNT)

(Materials kindly provided by Shinohara Research Laboratory, Nagoya University Graduate School of Science)

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