Determination of the Bending Rigidity of Graphene via Electrostatic Actuation of Buckled Membranes
Journal article, 2012

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.


Few-layer graphene

buckled membranes

bending rigidity


Niklas Lindahl

University of Gothenburg

Daniel Midtvedt

Chalmers, Applied Physics, Condensed Matter Theory

Johannes Svensson

Lund University

O. A. Nerushev

University of Edinburgh

Niclas Lindvall

Chalmers, Microtechnology and Nanoscience (MC2), Quantum Device Physics

Andreas Isacsson

Chalmers, Applied Physics, Condensed Matter Theory

Eleanor E B Campbell

University of Edinburgh

Konkuk University

Nano Letters

1530-6984 (ISSN) 1530-6992 (eISSN)

Vol. 12 7 3526-3531

Subject Categories

Physical Sciences



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