We present a general scheme for analyzing the structure and mobility of dislocations based on solutions of the Peierls-Nabarro model with a two component displacement field and restoring forces determined from the ab initio generalized stacking fault energetics (i.e., the so-called γ surface). The approach is used to investigate dislocations in ${L1\mathrm{}}_0$ TiAl and CuAu; predicted differences in the unit dislocation properties are explicitly related with features of the γ-surface geometry. A unified description of compact, spread and split dislocation cores is provided with an important characteristic “dissociation path” revealed by this highly tractable scheme.

• Received 15 July 1998

DOI:https://doi.org/10.1103/PhysRevB.58.11927