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Bloch‐wave interpretations of Gjønnes–Moodie lines in convergent‐beam electron diffraction for non‐symmorphic space‐group crystals

Bloch‐wave interpretations of Gjønnes–Moodie lines in convergent‐beam electron diffraction for... The contrast of Gjønnes–Moodie (GM) lines which appear in convergent‐beam electron diffraction patterns for non‐symmorphic space‐group crystals is explained using Bloch waves. In the two‐dimensional space groups p2mg and pg the Bloch waves for electron diffraction are described. In both space groups along the Δ line, Bloch waves are arranged as two different types, and it is shown that the two types of Bloch waves do not contribute to the intensity of forbidden reflections. Along the position where the forbidden reflection satisfies the Bragg condition, degeneracies of two Bloch waves are found and it is shown that the degenerated pair of Bloch waves do not contribute to the intensity. These Bloch‐wave results provide a new perspective in the understanding of the contrast mechanism of GM lines previously described using scattering polynomials. They also advance the understanding of Bloch‐wave behaviour in high‐energy electron diffraction. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Crystallographica Section A: Foundations and Advances Wiley

Bloch‐wave interpretations of Gjønnes–Moodie lines in convergent‐beam electron diffraction for non‐symmorphic space‐group crystals

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Publisher
Wiley
Copyright
Copyright © 2021 Wiley Subscription Services, Inc., A Wiley Company
ISSN
0108-7673
eISSN
1600-5724
DOI
10.1107/s2053273321003211
Publisher site
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Abstract

The contrast of Gjønnes–Moodie (GM) lines which appear in convergent‐beam electron diffraction patterns for non‐symmorphic space‐group crystals is explained using Bloch waves. In the two‐dimensional space groups p2mg and pg the Bloch waves for electron diffraction are described. In both space groups along the Δ line, Bloch waves are arranged as two different types, and it is shown that the two types of Bloch waves do not contribute to the intensity of forbidden reflections. Along the position where the forbidden reflection satisfies the Bragg condition, degeneracies of two Bloch waves are found and it is shown that the degenerated pair of Bloch waves do not contribute to the intensity. These Bloch‐wave results provide a new perspective in the understanding of the contrast mechanism of GM lines previously described using scattering polynomials. They also advance the understanding of Bloch‐wave behaviour in high‐energy electron diffraction.

Journal

Acta Crystallographica Section A: Foundations and Advances – Wiley

Published: May 1, 2021

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