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Determination of the Bending Rigidity of Graphene via Electrostatic Actuation of Buckled Membranes

Lindahl, Niklas; Midtvedt, Daniel; Svensson, Johannes LU ; Nerushev, Oleg A.; Lindvall, Niclas; Isacsson, Andreas and Campbell, Eleanor E. B. (2012) In Nano Letters 12(7). p.3526-3531
Abstract
Classical continuum mechanics is used extensively to predict the properties of nanoscale materials such as graphene. The bending rigidity, kappa, is an important parameter that is used, for example, to predict the performance of graphene nanoelectromechanical devices and also ripple formation. Despite its importance, there is a large spread in the theoretical predictions of kappa for few-layer graphene. We have used the snap-through behavior of convex buckled graphene membranes under the application of electrostatic pressure to determine experimentally values of kappa for double-layer graphene membranes. We demonstrate how to prepare convex-buckled suspended graphene ribbons and fully clamped suspended membranes and show how the... (More)
Classical continuum mechanics is used extensively to predict the properties of nanoscale materials such as graphene. The bending rigidity, kappa, is an important parameter that is used, for example, to predict the performance of graphene nanoelectromechanical devices and also ripple formation. Despite its importance, there is a large spread in the theoretical predictions of kappa for few-layer graphene. We have used the snap-through behavior of convex buckled graphene membranes under the application of electrostatic pressure to determine experimentally values of kappa for double-layer graphene membranes. We demonstrate how to prepare convex-buckled suspended graphene ribbons and fully clamped suspended membranes and show how the determination of the curvature of the membranes and the critical snap-through voltage, using AFM, allows us to extract kappa. The bending rigidity of bilayer graphene membranes under ambient conditions was determined to be 35.5(-15.0)(+20.0) eV. Monolayers are shown to have significantly lower kappa than bilayers. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Few-layer graphene, bending rigidity, buckled membranes
in
Nano Letters
volume
12
issue
7
pages
3526 - 3531
publisher
The American Chemical Society
external identifiers
  • wos:000306296200029
  • scopus:84863857388
ISSN
1530-6992
DOI
10.1021/nl301080v
language
English
LU publication?
yes
id
9e885905-7582-43b3-8d76-8e848d9d0b1c (old id 2991686)
date added to LUP
2012-08-22 12:52:22
date last changed
2017-11-19 03:49:51
@article{9e885905-7582-43b3-8d76-8e848d9d0b1c,
  abstract     = {Classical continuum mechanics is used extensively to predict the properties of nanoscale materials such as graphene. The bending rigidity, kappa, is an important parameter that is used, for example, to predict the performance of graphene nanoelectromechanical devices and also ripple formation. Despite its importance, there is a large spread in the theoretical predictions of kappa for few-layer graphene. We have used the snap-through behavior of convex buckled graphene membranes under the application of electrostatic pressure to determine experimentally values of kappa for double-layer graphene membranes. We demonstrate how to prepare convex-buckled suspended graphene ribbons and fully clamped suspended membranes and show how the determination of the curvature of the membranes and the critical snap-through voltage, using AFM, allows us to extract kappa. The bending rigidity of bilayer graphene membranes under ambient conditions was determined to be 35.5(-15.0)(+20.0) eV. Monolayers are shown to have significantly lower kappa than bilayers.},
  author       = {Lindahl, Niklas and Midtvedt, Daniel and Svensson, Johannes and Nerushev, Oleg A. and Lindvall, Niclas and Isacsson, Andreas and Campbell, Eleanor E. B.},
  issn         = {1530-6992},
  keyword      = {Few-layer graphene,bending rigidity,buckled membranes},
  language     = {eng},
  number       = {7},
  pages        = {3526--3531},
  publisher    = {The American Chemical Society},
  series       = {Nano Letters},
  title        = {Determination of the Bending Rigidity of Graphene via Electrostatic Actuation of Buckled Membranes},
  url          = {http://dx.doi.org/10.1021/nl301080v},
  volume       = {12},
  year         = {2012},
}