It was recalled that the usual technique for calculating the Peierls energy for dislocations was to follow the Peierls-Nabarro procedure and sum the atomic misfit energy in the glide plane at the position of the atoms. Since the misfit energy was not localized, but was instead contained in the electron distribution, some averaging had to be applied. This could lead to a considerable lowering of the classical Peierls energy, and of the resultant Peierls stress.

Peierls Energy of Dislocations: a Critical Assessment. G.Schoeck: Physical Review Letters, 1999, 82[11], 2310-3