New progress has been made in the study of bending properties of monolayer graphene

Recently, the journal Nano Letters published a paper on the bending stiffness and Gaussian bending properties of single-layer graphene by researchers such as Wei Yujie, the State Key Laboratory of Nonlinear Mechanics at the Institute of Mechanics, Chinese Academy of Sciences.

Under unconstrained or weakly constrained conditions, graphene will inevitably undergo buckling under thermal perturbations. This process is controlled by two key physical quantities—normal bending stiffness and Gaussian bending stiffness. Based on the geometric properties of fullerenes and single-walled carbon nanotubes, two major curvature radii are required to determine the fullerene geometry, but the carbon tube requires only one radius of curvature (see Figure 1).

This feature allows researchers to combine the first-principles calculations with the Helfrich Hamiltonian to accurately determine the bending stiffness and Gaussian bending coefficient of monolayer graphene. The results show that the normal bending stiffness of monolayer graphene is 1.44 eV (2.31 x 10-19 Nm), while the Gaussian bending stiffness is -1.52 eV (2.43 x 10-19 Nm). Wei Yujie et al. found that the bending stiffness of single-layered graphene is similar to that of biological cell membranes, and it is mechanically shown that this material and biological cells may easily have a matching effect.

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