Bending Rigidity and Gaussian Bending Stiffness of Single-Layered Graphene
详细信息 查看全文
- 作者：Yujie Wei ; Baoling Wang ; Jiangtao Wu ; Ronggui Yang ; Martin L. Dunn
- 刊名：Nano Letters
- 出版年：2013
- 出版时间：January 9, 2013
- 年：2013
- 卷：13
- 期：1
- 页码：26-30
- 全文大小：415K
- 年卷期：v.13,no.1(January 9, 2013)
- ISSN：1530-6992
文摘
Bending rigidity and Gaussian bending stiffness are the two key parameters that govern the rippling of suspended graphene鈥攁n unavoidable phenomenon of two-dimensional materials when subject to a thermal or mechanical field. A reliable determination about these two parameters is of significance for both the design and the manipulation of graphene morphology for engineering applications. By combining the density functional theory calculations of energies of fullerenes and single wall carbon nanotubes with the configurational energy of membranes determined by Helfrich Hamiltonian, we have designed a theoretical approach to accurately determine the bending rigidity and Gaussian bending stiffness of single-layered graphene. The bending rigidity and Gaussian bending stiffness of single-layered graphene are 1.44 eV (2.31 脳 10鈥?9 N m) and 鈭?.52 eV (2.43 脳 10鈥?9 N m), respectively. The bending rigidity is close to the experimental result. Interestingly, the bending stiffness of graphene is close to that of lipid bilayers of cells about 1鈥? eV, which might mechanically justify biological applications of graphene.