Mirror symmetries in multiple diffraction patterns of face-centred cubic crystals

Abstract

In this work, a study of the mirror symmetries appearing in multiple diffraction patterns of face-centred cubic crystals is carried out. Several different X-ray and neutron multiple diffraction patterns have been simulated for different face-centred cubic structures. The patterns were plotted in circular plots which showed that two types of symmetry mirrors coexist in the patterns: isomorphic and anamorphic mirrors. The number and types of mirrors depend on then-fold symmetry of the scattering vector associated with the primary reflection. Forneven, onlynisomorphic mirrors appear in the patterns. Fornodd,nisomorphic mirrors are formed intercalated betweennanamorphic mirrors.