Peierls-Nabarro Model

The Peierls-Nabarro model describes how dislocations—defects in a crystal's structure—move within a material. It considers the dislocation as a transition zone where atoms shift from one arrangement to another, creating a slip plane. The model combines atomic-scale interactions with larger-scale elasticity, explaining how the atomic structure influences the resistance a dislocation faces during movement. This helps predict the material's strength and ductility, as the ease or difficulty of dislocation motion determines how a material deforms under stress. In essence, it bridges microscopic atomic behavior and macroscopic material properties.