Two aspects of this model were reconsidered. The first was related to the sampling scheme (double or single counting) of the misfit energy across the glide plane. The second was the effect of atomic relaxation upon the Peierls stress. It was argued that the double-counting scheme was physically more appropriate. An analytical formula was derived for the Peierls stress of dislocations in alternating lattices. Atomic relaxation was shown to have a marked effect upon the Peierls stress for narrow dislocations.
The Peierls-Nabarro Model Revisited. G.Lu, N.Kioussis, V.V.Bulatov, E.Kaxiras: Philosophical Magazine Letters, 2000, 80[10], 675-82