The Peierls stress is the stress required to move a dislocation through a perfect crystal lattice. Theoretical estimates show an exponential dependence on the ratio of the spacing between gliding planes and the unit slip distance. Nabarro corrected an error of a factor of 2 in this exponent in Peierls's original estimate. A revised estimate by Huntington introduced a further factor of 2. Three experimental estimates are available, from the Bordoni peaks (which agrees with the Huntington theory), from the how stress at low temperatures (which agrees with the P-N (Peierls-Nabarro) theory) and from the rate of Harper-Dorn creep (which agrees with the P-N theory). Since the Huntington theory is clearly better founded than that of P-N, the agreement of two experimental results with P-N is unexpected. The discrepancy is resolved by using a recent result by Schoeck.
Reference:
Nabarro, FRN. 1997. Theoretical and experimental estimates of the Peierls stress. Philosophical Magazine A, vol. 75(3), pp 703-711
Nabarro, F. (1997). Theoretical and experimental estimates of the Peierls stress. http://hdl.handle.net/10204/2082
Nabarro, FRN "Theoretical and experimental estimates of the Peierls stress." (1997) http://hdl.handle.net/10204/2082
Nabarro F. Theoretical and experimental estimates of the Peierls stress. 1997; http://hdl.handle.net/10204/2082.