The controversy on thickness of monolayer h-BN nanosheets yields scattered elastic properties, and thus scattered flexural rigidity. In this paper, the thickness is exactly determined by fitting the results of classical plate theory and atomistic-continuum approach. Free vibration behaviors of h-BN nanosheets are simulated by the recently
developed atomistic-continuum multiscale approach. Also, the results are verified by full atomic simulations. Both two are under the same computational framework of interatomic potential. A slight difference between the above-mentioned two approaches is the former employs a homogenization technique in the whole field, while the latter involves the influence of the dangling bonds at the edge. As a result, this slight difference due to the edge effect yields a difference in studying the natural frequencies. Consequently, it is found that classical thin plate theory can exactly extract the thickness of h-BN nanosheets, by fitting the analytical solutions with the results of atomistic-continuum approach. The thickness is determined to be 0.0906 nm, yielding elastic and shear moduli of 3.5802 and 1.5397 TPa, respectively, and a flexural rigidity of 1.4253 eV.
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