Elastic versus plastic strain relaxation in coalesced GaN nanowires: An x-ray diffraction study

Abstract

The coalescence in dense arrays of spontaneously formed GaN nanowires proceeds by bundling: adjacent nanowires bend and merge at their top, thus reducing their surface energy at the expense of the elastic energy of bending. We give a theoretical description of the energetics of this bundling process. The bending energy is shown to be substantially reduced by the creation of dislocations at the coalescence joints. A comparison of experimental and calculated x-ray-diffraction profiles from ensembles of bundled nanowires demonstrates that a large part of the bending energy is indeed relaxed by plastic deformation. As a consequence, spontaneously formed GaN nanowire ensembles contain boundary dislocations with a density on the order of 1 010 cm-2 .