Hexagonal Close-Packed (HCP) Crystallography, Diffraction, and Indexing Conventions
Abstract:
This report details the crystallography and diffraction pattern indexing of hexagonal close-packed (HCP) crystals compared with the more familiar cubic close-packed crystals. HCP films are frequently grown and characterized at the US Army Combat Capabilities Development Command Army Research Laboratory, in particular alloys of gallium nitride, indium nitride, aluminum nitride, and silicon carbide. We discuss the MillerBravais indexing system, which relies on four indices (HKIL), as opposed to the more familiar three-index (hkl) Miller system. Both systems appear in the literature. Visualizing the HCP system and understanding its indexed features are much less intuitive than it is for the cubic system. The purpose of this note is to 1) assist researchers in their understanding of the literature related to HCP alloys and allow them to correctly describe these alloys characteristics in their own work, and 2) serve as a reference for correctly interpreting transmission electron microscopy images and diffraction patterns.