Mechanical properties of graphene and boronitrene

We present an equation of state (EOS) that describes how the hydrostatic change in surface area is related to two-dimensional in-plane pressure ($\mathcal{F}$) and yields the measure of a material's resilience to isotropic stretching (the layer modulus $\ensuremath{\gamma}$) as one of its fit parameters. We give results for the monolayer systems of graphene and boronitrene, and we also include results for Si, Ge, GeC, and SiC in the isostructural honeycomb structure for comparison. Our results show that, of the honeycomb structures, graphene is the most resilient to stretching with a value of ${\ensuremath{\gamma}}_{\text{C}}$ = $206.6$ N m${}^{\ensuremath{-}1}$, second is boronitrene with…