Article,

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

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JOURNAL OF APPLIED CRYSTALLOGRAPHY, 45 (4): 621-626 (2012)
DOI: 10.1107/S0021889812026830

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 the n-fold symmetry of the scattering vector associated with the primary reflection. For n even, only n isomorphic mirrors appear in the patterns. For n odd, n isomorphic mirrors are formed intercalated between n anamorphic mirrors.

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