Accurate lattice parameters from 3D electron diffraction data. I. Optical distortions

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  • Czech Academy of Sciences (CAS)
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Original languageEnglish
Pages (from-to)735-755
Number of pages21
JournalIUCRJ
Volume9
Issue number6
Early online date27 Sept 2022
Publication statusPublished - Nov 2022

Abstract

Determination of lattice parameters from 3D electron diffraction (3D ED) data measured in a transmission electron microscope is hampered by a number of effects that seriously limit the achievable accuracy. The distortion of the diffraction patterns by the optical elements of the microscope is often the most severe problem. A thorough analysis of a number of experimental datasets shows that, in addition to the well known distortions, namely barrel-pincushion, spiral and elliptical, an additional distortion, dubbed parabolic, may be observed in the data. In precession electron diffraction data, the parabolic distortion leads to excitation-error-dependent shift and splitting of reflections. All distortions except for the elliptical distortion can be determined together with lattice parameters from a single 3D ED data set. However, the parameters of the elliptical distortion cannot be determined uniquely due to correlations with the lattice parameters. They can be determined and corrected either by making use of the known Laue class of the crystal or by combining data from two or more crystals. The 3D ED data can yield lattice parameter ratios with an accuracy of about 0.1% and angles with an accuracy better than 0.03°.

Keywords

    3D electron diffraction, distortions, lattice parameters, parabolic distortion, precession electron diffraction

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Cite this

Accurate lattice parameters from 3D electron diffraction data. I. Optical distortions. / Brázda, Petr; Klementová, Mariana; Krysiak, Yaşar et al.
In: IUCRJ, Vol. 9, No. 6, 11.2022, p. 735-755.

Research output: Contribution to journalArticleResearchpeer review

Brázda P, Klementová M, Krysiak Y, Palatinus L. Accurate lattice parameters from 3D electron diffraction data. I. Optical distortions. IUCRJ. 2022 Nov;9(6):735-755. Epub 2022 Sept 27. doi: 10.1107/s2052252522007904
Brázda, Petr ; Klementová, Mariana ; Krysiak, Yaşar et al. / Accurate lattice parameters from 3D electron diffraction data. I. Optical distortions. In: IUCRJ. 2022 ; Vol. 9, No. 6. pp. 735-755.
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abstract = "Determination of lattice parameters from 3D electron diffraction (3D ED) data measured in a transmission electron microscope is hampered by a number of effects that seriously limit the achievable accuracy. The distortion of the diffraction patterns by the optical elements of the microscope is often the most severe problem. A thorough analysis of a number of experimental datasets shows that, in addition to the well known distortions, namely barrel-pincushion, spiral and elliptical, an additional distortion, dubbed parabolic, may be observed in the data. In precession electron diffraction data, the parabolic distortion leads to excitation-error-dependent shift and splitting of reflections. All distortions except for the elliptical distortion can be determined together with lattice parameters from a single 3D ED data set. However, the parameters of the elliptical distortion cannot be determined uniquely due to correlations with the lattice parameters. They can be determined and corrected either by making use of the known Laue class of the crystal or by combining data from two or more crystals. The 3D ED data can yield lattice parameter ratios with an accuracy of about 0.1% and angles with an accuracy better than 0.03°.",
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