Abstract:
Analytical expressions for the central $k_0$ and noncentral $k_1$ force constants of two-dimensional (graphene, silicene) and three-dimensional (diamond, silicon) structures have been obtained within the previously proposed model of the binding energy of carbon atoms in graphene. The Kleinman internal displacement parameter of the two-dimensional structure has been determined. It has been shown that the ratio $k_0/k_1$ depends only on the dimension of the structure.
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