Estimation of the thermal expansion coefficient of graphene in the temperature range of 100-700 K

In the quasiharmonic approximation, while analyzing the involved variables for their dimensionalities, in the present paper, by analogy with 3D-systems, an expression is derived that allows estimation of the linear thermal expansion coefficient for a single-layered graphene (a representative of a 2D-system) at about the room temperatures. It is shown that, as compared to other methods to evaluate the thermal expansion coefficient of graphene subject to room temperatures (say, molecular dynamics method or a method of approximation with the help of nonequilibrium Green's function, for which the obtained results differ from experimentally measured values at least by 7 percent), the accuracy of the value suggested by the mentioned expression is 5 times higher (discrepancy between the latter and the measured one does not exceed 1.4 percent)