Imaging mechanical vibrations in suspended graphene sheets

D. Garcia-Sanchez, A. M. Van Der Zande, A. San Paulo, B. Lassagne, P. L. McEuen, A. Bachtold

Research output: Contribution to journalArticle

Abstract

We carried out measurements on nanoelectromechanical systems based on multilayer graphene sheets suspended over trenches in silicon oxide. The motion of the suspended sheets was electrostatically driven at resonance using applied radio frequency voltages. The mechanical vibrations were detected using a novel form of scanning probe microscopy, which allowed identification and spatial imaging of the shape of the mechanical eigenmodes. In as many as half the resonators measured, we observed a new class of exotic nanoscale vibration eigenmodes not predicted by the elastic beam theory, where the amplitude of vibration is maximum at the free edges. By modeling the suspended sheets with the finite element method, these edge eigenmodes are shown to be the result of nonuniform stress with remarkably large magnitudes (up to 1.5 GPa). This nonuniform stress, which arises from the way graphene is prepared by pressing or rubbing bulk graphite against another surface, should be taken into account in future studies on electronic and mechanical properties of graphene.

Original languageEnglish (US)
Pages (from-to)1399-1403
Number of pages5
JournalNano letters
Volume8
Issue number5
DOIs
StatePublished - May 1 2008
Externally publishedYes

Fingerprint

Graphite
Graphene
graphene
Imaging techniques
vibration
NEMS
Scanning probe microscopy
Silicon oxides
pressing
silicon oxides
Electronic properties
Vibrations (mechanical)
Resonators
radio frequencies
finite element method
Multilayers
graphite
resonators
mechanical properties
microscopy

ASJC Scopus subject areas

  • Bioengineering
  • Chemistry(all)
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanical Engineering

Cite this

Garcia-Sanchez, D., Van Der Zande, A. M., San Paulo, A., Lassagne, B., McEuen, P. L., & Bachtold, A. (2008). Imaging mechanical vibrations in suspended graphene sheets. Nano letters, 8(5), 1399-1403. https://doi.org/10.1021/nl080201h

Imaging mechanical vibrations in suspended graphene sheets. / Garcia-Sanchez, D.; Van Der Zande, A. M.; San Paulo, A.; Lassagne, B.; McEuen, P. L.; Bachtold, A.

In: Nano letters, Vol. 8, No. 5, 01.05.2008, p. 1399-1403.

Research output: Contribution to journalArticle

Garcia-Sanchez, D, Van Der Zande, AM, San Paulo, A, Lassagne, B, McEuen, PL & Bachtold, A 2008, 'Imaging mechanical vibrations in suspended graphene sheets', Nano letters, vol. 8, no. 5, pp. 1399-1403. https://doi.org/10.1021/nl080201h
Garcia-Sanchez D, Van Der Zande AM, San Paulo A, Lassagne B, McEuen PL, Bachtold A. Imaging mechanical vibrations in suspended graphene sheets. Nano letters. 2008 May 1;8(5):1399-1403. https://doi.org/10.1021/nl080201h
Garcia-Sanchez, D. ; Van Der Zande, A. M. ; San Paulo, A. ; Lassagne, B. ; McEuen, P. L. ; Bachtold, A. / Imaging mechanical vibrations in suspended graphene sheets. In: Nano letters. 2008 ; Vol. 8, No. 5. pp. 1399-1403.
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