Ambiguity in indexing electron diffraction patterns of R3 crystals

The R3 space group inherently lacks 2110, m001 and m_{{\bar 1}10} symmetry operations. However, in crystals with R3 symmetry, these transformations produce `pseudoplanes' with the same interplanar spacing and angles as the original crystallographic planes, causing a lack of uniqueness in the electron diffraction (ED) pattern. The difference in atomic arrangements of pseudoplanes and original planes is reflected in the intensities of diffraction spots; it is hard to differentiate in standard ED patterns, frequently causing wrong assignment of the zone axes. The implications of this ambiguity in analysis of crystal orientations are discussed in detail and a suitable routine to follow while indexing R3 ED patterns is proposed.
Source: Acta Crystallographica Section A - Category: Chemistry Authors: Tags: electron diffraction R3 space group high-resolution transmission electron microscopy research papers Source Type: research
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