Redshift and optical anisotropy of collective π -volume modes in multiwalled carbon nanotubes

A. Seepujak*, U. Bangert, A. J. Harvey, P. M.F.J. Costa, M. L.H. Green

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


A combined study concerning localized electron energy-loss spectroscopy (EELS) and modeling of collective π -volume modes in multiwalled carbon nanotubes (MWCNT) is presented. The changing line width and eigenfrequency of the π -volume mode can be ascribed solely to optical anisotropy and "cylindrical anisotropy." Optical anisotropy results from the weighting of various nearly degenerate and nondegenerate states allowed for the E c and E c polarizations. Cylindrical anisotropy arises from a lowering of the symmetry arising from the nanotube geometry. The eigenfrequency of the π -volume mode corresponds to polarization eigenmodes of graphite, and not to new maxima in the joint density of states, since momentum transfer Δ qπ →0. Results are also included from multiwalled hexagonal-boron nitride nanotubes (MWBNNT). An accurate description of the π -volume mode in multiwalled nanotubes has not been attempted so far, and is essential to resolve coupled MWCNT π -surface features, which are usually obscured in spectra obtained in penetrating-beam geometry. Volume mode-extracted EEL spectra demonstrate eigenfrequency modification of coupled π -surface features in the presence of a MWCNT dielectric filling. It was found, owing to dielectric screening effects and smearing of the dipole mode, that aloof-beam EELS which is conventionally applied to surface plasmon investigations, cannot give this information.

Original languageEnglish (US)
Article number075402
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number7
StatePublished - 2006
Externally publishedYes

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


Dive into the research topics of 'Redshift and optical anisotropy of collective π -volume modes in multiwalled carbon nanotubes'. Together they form a unique fingerprint.

Cite this