2D Young’s Modulus of Black Phosphorene with Different Layers
Bo Zhang, Lihui Zhang, Na Yang, Xuewen Zhao, Chengxiang Chen, Yonghong Cheng, Iftikhar Rasheed, Lifeng Ma, Jinying Zhang
Abstract
Phosphorene is another layered elemental structure after graphene. The mechanical property is an important character for two-dimensional (2D) structures. The 2D Young’s modulus (E2D), representing the deformation resistance of 2D nanostructures, has been investigated for the black phosphorene (BP) nanoflakes with thicknesses of 6–22 nm (11–43 layers) by an atomic force microscope nanoindentation method. The nanoeffects have also been found to significantly affect the E2D of BP nanoflakes. The BP E2D increases as the layers decreasing. The E2D-layer model for BP nanoflakes has been deduced to follow E2D(n) = 53.31(1 + 3.30e–0.13n), where the E2D of monolayer BP was deduced to be 214 ± 11 N/m. The E2D analysis model and E2D-layer model have been well used to deduce the E2D of BP nanoflakes.