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Temperature dependence of atomic vibrations in mono-layer graphene
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Allen, Christopher S., Liberti, Emanuela, Kim, Judy S., Xu, Qiang, Fan, Ye, He, Kuang, Robertson, Alex W., Zandbergen, Henny W., Warner, Jamie H. and Kirkland, Angus I. (2015) Temperature dependence of atomic vibrations in mono-layer graphene. Journal of Applied Physics, 118 (7). 074302. doi:10.1063/1.4928324 ISSN 0021-8979.
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Official URL: http://dx.doi.org/10.1063/1.4928324
Abstract
We have measured the mean square amplitude of both in- and out-of-plane lattice vibrations for mono-layer graphene at temperatures ranging from ∼100 K to 1300 K. The amplitude of lattice vibrations was calculated from data extracted from selected area electron diffraction patterns recorded across a known temperature range with over 80 diffraction peaks measured per diffraction pattern. Using an analytical Debye model, we have also determined values for the maximum phonon wavelength that can be supported by a mono-layer graphene crystal and the magnitude of quantum mechanical zero point vibrations. For in-plane phonons, the quantum mechanical zero point contribution dominates the measured atomic displacement at room temperature, whereas for out-of-plane modes, thermally populated phonons must be considered. We find a value for the maximum phonon wavelength sampled that is several orders of magnitudes smaller than the physical crystallite size.
Item Type: | Journal Article | ||||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||||||
Journal or Publication Title: | Journal of Applied Physics | ||||||||
Publisher: | American Institute of Physics | ||||||||
ISSN: | 0021-8979 | ||||||||
Official Date: | 19 August 2015 | ||||||||
Dates: |
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Volume: | 118 | ||||||||
Number: | 7 | ||||||||
Page Range: | 074302 | ||||||||
DOI: | 10.1063/1.4928324 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||
Copyright Holders: | AIP Publishing LLC | ||||||||
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