A method was derived, for calculating the anisotropic elastic energy of a dislocation dipole in a periodic cell, using which the infinite image summation was absolutely convergent. The core energy of a screw dislocation in Si, as deduced from atomistic simulations, was clearly shown to be invariant with respect to system size. It was shown that there existed a special cell geometry within which complete cancellation of the elastic interactions occurred.

Anisotropic Elastic Interactions of a Periodic Dislocation Array. W.Cai, V.V.Bulatov, J.Chang, J.Li, S.Yip: Physical Review Letters, 2001, 86[25], 5727-30