The laws of single-particle migration of atoms in the one-layer hexagonal structure were considered. It was accepted that impurity atom contacts with one of structure cell and could execute single-order jumps. The exact solution of the infinite collection of microscopic equation of migration was written in the technique of the generating function and appropriate macroscopic characteristics were found. It was determined that the general pattern of transfer quality coincided with the law of particle diffuse propagation and rate of process propagation in the graphene structure exceeded the analogous value for the comparable two-dimensional square array. The method for finding the exact solution of migration problem in the limited medium was formulated on the basis of results for an infinite medium. The migration pattern in the frontier area of the graphene sheet and in the structure which was shaping the carbon nanotubes was defined. Probable variations of the observed characteristics which were connected with the impurity availability which was the corollary of migration were considered.

Migration of Impurities in the Structure of Graphene. Dolgov, A.S., Zhabchyk, J.L.: Journal of Nano- and Electronic Physics, 2012, 4[3], 03021