It was shown on the basis of general arguments that, when an array of parallel dislocations in a linear elastic anisotropic medium was in equilibrium, the total energy of the general stacking fault area had to be equal to the total pre-logarithmic interaction energy coefficients of the dislocations. The number of Burgers vectors was listed which could be allowed to be anti-parallel in an overall array which was stable. This implied that, in a total array of 4, no dislocation could be anti-parallel while, in a total array of 9, only 2 dislocations could be anti-parallel if equilibrium without constraints was to be attained.

Stability of Dislocation Arrays. G.Schoeck: Scripta Materialia, 1997, 37[9], 1407-8