Chirality-controlled crystallization via screw dislocations

Asymmetric Reaction Using Molecular Chirality Controlled by Spontaneous Crystallization

Chirality Selection in Crystallization

A cluster growth model is proposed to study chiral symmetry breaking in stirred crystallization from an achiral element. Achiral monomers are assumed to coagulate to form chiral clusters from dimers to hexamers. Due to the stirring, the hexamers break into dimers. The coagulation of two dimers into a tetramer also occurs. The fixed point analysis of coupled rate equations of cluster densities a...

Moving screw dislocations in piezoelectric bimaterials

An explicit solution for a moving screw dislocation in a piezoelectric bimaterial is given by means of complex variables. The electroelastic fields and forces acting on the moving dislocation are obtained in closed form. As special cases, solutions for a moving screw dislocation in a piezoelectric half-plane with a free or rigid surface are obtained explicitly.

Interface Effects on Screw Dislocations in Heterostructures

The governing equation of screw dislocations in heterostructures is constructed using image method. The interface type (−1 ≤ γ ≤ 1) and distance between dislocation and interface h are considered in the new equation. The Peierls–Nabarro equations for screw dislocations in bulk and semi-infinite materials can be recovered when γ = 0 and γ = −1. The soft (γ < 0) and hard (γ > 0) interfaces can en...

Dynamics for Systems of Screw Dislocations

The goal of this paper is the analytical validation of a model of Cermelli and Gurtin [12] for an evolution law for systems of screw dislocations under the assumption of antiplane shear. The motion of the dislocations is restricted to a discrete set of glide directions, which are properties of the material. The evolution law is given by a “maximal dissipation criterion”, leading to a system of ...