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Issue 71, 2015
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Relating elasticity and graphene folding conformation

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Abstract

Variational calculus is employed to determine the folding behaviour of a single graphene sheet. Both the elastic and van der Waals energies are taken into account, and from these considerations the shape of the curve is determined. By prescribing that the separation distance between the folded graphene in the parallel region is 3.32 Å, an arbitrary constant arising by integrating the Euler–Lagrange equation is determined, and the full parametric representations for the folding conformation are derived. Using typical values of the bending rigidity in the range of 0.800–1.60 eV, the shortest stable folded graphene sheets are required to be at least 6.5–10 nm in length.

Graphical abstract: Relating elasticity and graphene folding conformation

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Article information


Submitted
05 May 2015
Accepted
17 Jun 2015
First published
17 Jun 2015

RSC Adv., 2015,5, 57515-57520
Article type
Paper

Relating elasticity and graphene folding conformation

B. J. Cox, D. Baowan, W. Bacsa and J. M. Hill, RSC Adv., 2015, 5, 57515
DOI: 10.1039/C5RA08276E

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