For calculation and constructing the devices of nanoelectronics and nanophotonics, in which graphenes and graphenes-like 2D nanoallotropes of carbon, silicon and binary compounds of АВ type are used, the knowledge of elastic characteristics and depending on them piezoelectric, photo-elastic and other properties of 2D materials is significant. The method for determining isothermal values of the force constants, elastic rigidities, Young’s modulus and Poisson’s ratio for 2D nanoallotropes of the elements of IV group of the periodic table and binary compounds of АВ type, simple and convenient for engineering calculations, has been offered. The method is based on the modified by S.Yu. Davydov method, connecting the Harrison orbitals and R.Keating models the descriptions of elastic properties of such materials. It has been shown that the method allows to provide the estimated calculations for the elastic properties both, the well-known synthesized 2D crystal structures, as well as for the theoretically constructed structures. It has been shown that along with graphene, the monolayer hexagonal boron nitride and other binary compounds of АВ type in a form of 2D nanoallotropes of different symmetry, which, besides, are piezoelectric, can become very promising. It expands the range of possible practical applications of the studied materials (C, Si, BN, GaN, AlN, GaP) both with the graphene-like and more complex structure. The results of the work can be used when developing acoustoelectronic delay lines of terahertz frequency range, piezoelectric transduces for elastic waves excitation and receiving in the nanoscale 2D acoustic lines and piezoelectric sensors.
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