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arXiv 0901.4370cond-mat.mtrl-sci
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单层石墨烯的弹性弯曲模量

Elastic Bending Modulus of Monolayer Graphene

Qiang Lu, Marino Arroyo, Rui Huang

摘要:

从固态碳-碳键的经验势出发,解析推导出单层石墨烯弹性弯曲模量的新公式。两个物理起源被确定为原子级薄的石墨烯片的非零的弯曲模量,一个是由于键角效应和其他导致从键序项与二面角。分析预测比较接近从头算能量计算。用分子力学方法模拟了石墨烯单分子膜的纯弯曲,随着弯曲曲率的增加,其切线弯曲模量表现出轻微的非线性和各向异性。弯曲和面内应变之间的内在耦合是指石墨烯单层卷成碳纳米管。

英文摘要:

A new formula for elastic bending modulus of monolayer graphene is derived analytically from an empirical potential for solid-state carbon-carbon bonds. Two physical origins are identified for the non-vanishing bending modulus of the atomically thin graphene sheet, one due to the bond angle effect and the other resulting from the bond order term associated with dihedral angles. The analytical prediction compares closely with ab initio energy calculations. Pure bending of graphene monolayers are simulated by a molecular mechanics approach, showing slight nonlinearity and anisotropy in the tangent bending modulus as the bending curvature increases. An intrinsic coupling between bending and in-plane strain is noted for graphene monolayers rolled into carbon nanotubes.

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