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Relating elasticity and graphene folding conformation

机译：有关弹性和石墨烯折叠构象

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摘要

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 angstrom, 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.
机译：采用变分法确定单个石墨烯片的折叠行为。弹性能量和范德华能量都被考虑在内，并根据这些考虑确定曲线的形状。通过规定平行区域中折叠的石墨烯之间的分隔距离为3.32埃，可以确定通过积分Euler-Lagrange方程而产生的任意常数，并得出折叠构象的完整参数表示。使用抗弯刚度的典型值在0.800-1.60 eV的范围内，最短的稳定折叠石墨烯片的长度至少应为6.5-10 nm。

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