Analysis reveals increased mean square relative displacements in graphene, highlighting differences with other two-dimensional lattices.
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 two‐dimensional lattices, the MSRD in graphene lattice are greater than those in the hexagonal and square lattices.
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Rodrigues et al. (2025) studied this question.
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