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arXiv 1902.04855cond-mat.mes-hall
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石墨烯的弹性常数:经验势和DFT计算的比较

Elastic constants of graphene: Comparison of empirical potentials and DFT calculations

Irina V. Lebedeva, Alexander S. Minkin, Andrey M. Popov, Andrey A. Knizhnik

摘要:

对常用的经典原子间相互作用势描述石墨烯弹性性质的能力进行了检验。考虑了Tersoff势、Brenner反应键级势REBO-1990、REBO-2000、REBO-2002和AIREBO以及LCBOP、PPBE-G、ReaxFF-CHO和ReaxFF-C2013。通过静态能量计算研究了石墨烯在单轴拉伸下的线性和非线性弹性响应。的杨氏模量,泊松比和高阶弹性模量进行了验证对实验测量和从头算研究的参考数据。进行密度泛函理论计算,以补充在小但有限的伸长率的有效杨氏模量和泊松比的参考数据。据观察,对于所有考虑的潜力,弹性能量显着偏离简单的二次依赖性已经在几个百分点的伸长率。然而,LCBOP提供了与参考数据一致的结果,因此真实地描述了石墨烯的面内变形。合理的协议也观察到计算便宜的PPBE-G潜力。REBO-2000、AIREBO和REBO-2002给出了三阶弹性模量符号错误的强非线性弹性响应,其结果与参考数据相差甚远。ReaxFF势大大高估了泊松比。此外,ReaxFF-C2013显示了有限伸长率下的许多数值伪影。石墨烯的弯曲刚度也通过大直径碳纳米管的静态能量计算得到。在这种情况下,使用REBO-2000,REBO-2002和ReaxFF势实现与实验和从头计算数据的最佳一致。因此,所考虑的势都没有充分描述石墨烯的面内和面外变形。

英文摘要:

The capacity of popular classical interatomic potentials to describe elastic properties of graphene is tested. The Tersoff potential, Brenner reactive bond-order potentials REBO-1990, REBO-2000, REBO-2002 and AIREBO as well as LCBOP, PPBE-G, ReaxFF-CHO and ReaxFF-C2013 are considered. Linear and non-linear elastic response of graphene under uniaxial stretching is investigated by static energy calculations. The Young's modulus, Poisson's ratio and high-order elastic moduli are verified against the reference data available from experimental measurements and ab initio studies. The density functional theory calculations are performed to complement the reference data on the effective Young's modulus and Poisson's ratio at small but finite elongations. It is observed that for all the potentials considered, the elastic energy deviates remarkably from the simple quadratic dependence already at elongations of several percent. Nevertheless, LCBOP provides the results consistent with the reference data and thus realistically describes in-plane deformations of graphene. Reasonable agreement is also observed for the computationally cheap PPBE-G potential. REBO-2000, AIREBO and REBO-2002 give a strongly non-linear elastic response with a wrong sign of the third-order elastic modulus and the corresponding results are very far from the reference data. The ReaxFF potentials drastically overestimate the Poisson's ratio. Furthermore, ReaxFF-C2013 shows a number of numerical artefacts at finite elongations. The bending rigidity of graphene is also obtained by static energy calculations for large-diameter carbon nanotubes. The best agreement with the experimental and ab initio data in this case is achieved using the REBO-2000, REBO-2002 and ReaxFF potentials. Therefore, none of the considered potentials adequately describes both in-plane and out-of-plane deformations of graphene.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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