B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine 47 Pr. Nauky, Kharkiv 61103, Ukraine
National Technical University “Kharkiv Polytechnic Institute”, 21 Bahaliy Str., Kharkov 61002, Ukraine pos Анотація:
Received August 20, 2016
On the basis of calculations carried out at the microscopic level, given a quantitative description of the phonon heat capacity ultrathin graphene nano-films — bi-graphene (bilayer graphene) and trigraphene, and also single-walled carbon nanotubes. The behavior of the flexural stiffness of graphene monolayers is analyzed. The temperature ranges are defined where the temperature dependence of the heat capacity is deter-mined by the contributions of flexural vibrations. The contribution to the phonon heat capacity of graphene nanotubes flexural waves propagating along the surface is investigated, and tube bending vibrations of one-dimensional object as a whole, as well as the contribution of the torsional vibrations.
PACS: 63.20.–e Phonons in crystal lattices; PACS: 63.20.Dj Phonon states and bands, normal modes, and phonon dispersion; PACS: 65.40.Ba Heat capacity.