Mean square relative displacements in a flat graphene monolayer

Abstract

The mean square relative atomic displacements (MSRD) in a flat graphene monolayer are investigated in the approximation of weak anharmonicity. Numerical results, for not very high temperatures, are calculated using a parametric interatomic potential constructed specifically for graphene. In summary, our results show an overall increase in the MSRD as the interatomic distances increase, the MSRD in the direction of the straight line connecting two pairs of atoms are smaller than perpendicular ones, and in comparison with other twodimensional lattices, the MSRD in graphene lattice are greater than those in the hexagonal and square lattices.