Calculation of dislocation positions and curved transition pathways in BCC crystals from atomic displacements

TL;DR

This paper introduces a method to determine dislocation positions directly from atomic displacements, enabling more accurate modeling of dislocation pathways and Peierls barriers in BCC crystals.

Contribution

It develops a new procedure to identify dislocation positions from atomic displacements, improving the understanding of curved transition pathways in BCC crystals.

Findings

Curved dislocation paths differ significantly from straight path assumptions.

The method accurately captures dislocation positions from atomic displacement data.

Peierls barriers vary notably along curved transition pathways.

Abstract

The thermodynamic description of dislocation glide in crystals depends crucially on the shape of the Peierls barrier that the dislocation has to overcome when moving in the lattice. While the height of this barrier can be obtained unequivocally using saddle-point search algorithms such as the Nudged Elastic Band (NEB) method, its exact shape depends on the chosen approximation of the transition pathway of the system. The purpose of this paper is to formulate a procedure that allows to identify the position of the dislocation directly from the displacements of atoms in its core. We investigate the performance of this model by calculating curved paths of a 1/2[111] screw dislocation in tungsten from a series of images obtained recently using the NEB method at zero applied stress and for positive/negative shear stresses perpendicular to the slip direction. The Peierls barriers plotted along these curved paths are shown to be quite different from those obtained previously by assuming the straight dislocation path.