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Use of electron backscatter diffraction patterns to determine the crystal lattice. Part 2. Offset corrections

A band width determination using the first derivative of the band profile systematically underestimates the true Bragg angle. Corrections are proposed to compensate for the resulting offset Δa/a of the mean lattice parameters derived from as many Kikuchi band widths as possible. For dynamically simu...

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Detalles Bibliográficos
Autores principales: Nolze, Gert, Tokarski, Tomasz, Rychłowski, Łukasz
Formato: Online Artículo Texto
Lenguaje:English
Publicado: International Union of Crystallography 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10077852/
https://www.ncbi.nlm.nih.gov/pubmed/37032975
http://dx.doi.org/10.1107/S1600576723000146
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author Nolze, Gert
Tokarski, Tomasz
Rychłowski, Łukasz
author_facet Nolze, Gert
Tokarski, Tomasz
Rychłowski, Łukasz
author_sort Nolze, Gert
collection PubMed
description A band width determination using the first derivative of the band profile systematically underestimates the true Bragg angle. Corrections are proposed to compensate for the resulting offset Δa/a of the mean lattice parameters derived from as many Kikuchi band widths as possible. For dynamically simulated Kikuchi patterns, Δa/a can reach up to 8% for phases with a high mean atomic number Z , whereas for much more common low-Z materials the offset decreases linearly. A predicted offset Δa/a = f( Z ) is therefore proposed, which also includes the unit-cell volume and thus takes into account the packing density of the scatterers in the material. Since Z is not always available for unknown phases, its substitution by Z (max), i.e. the atomic number of the heaviest element in the compound, is still acceptable for an approximate correction. For simulated Kikuchi patterns the offset-corrected lattice parameter deviation is Δa/a < 1.5%. The lattice parameter ratios, and the angles α, β and γ between the basis vectors, are not affected at all.
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spelling pubmed-100778522023-04-07 Use of electron backscatter diffraction patterns to determine the crystal lattice. Part 2. Offset corrections Nolze, Gert Tokarski, Tomasz Rychłowski, Łukasz J Appl Crystallogr Research Papers A band width determination using the first derivative of the band profile systematically underestimates the true Bragg angle. Corrections are proposed to compensate for the resulting offset Δa/a of the mean lattice parameters derived from as many Kikuchi band widths as possible. For dynamically simulated Kikuchi patterns, Δa/a can reach up to 8% for phases with a high mean atomic number Z , whereas for much more common low-Z materials the offset decreases linearly. A predicted offset Δa/a = f( Z ) is therefore proposed, which also includes the unit-cell volume and thus takes into account the packing density of the scatterers in the material. Since Z is not always available for unknown phases, its substitution by Z (max), i.e. the atomic number of the heaviest element in the compound, is still acceptable for an approximate correction. For simulated Kikuchi patterns the offset-corrected lattice parameter deviation is Δa/a < 1.5%. The lattice parameter ratios, and the angles α, β and γ between the basis vectors, are not affected at all. International Union of Crystallography 2023-02-24 /pmc/articles/PMC10077852/ /pubmed/37032975 http://dx.doi.org/10.1107/S1600576723000146 Text en © Gert Nolze et al. 2023 https://creativecommons.org/licenses/by/4.0/This is an open-access article distributed under the terms of the Creative Commons Attribution (CC-BY) Licence, which permits unrestricted use, distribution, and reproduction in any medium, provided the original authors and source are cited.
spellingShingle Research Papers
Nolze, Gert
Tokarski, Tomasz
Rychłowski, Łukasz
Use of electron backscatter diffraction patterns to determine the crystal lattice. Part 2. Offset corrections
title Use of electron backscatter diffraction patterns to determine the crystal lattice. Part 2. Offset corrections
title_full Use of electron backscatter diffraction patterns to determine the crystal lattice. Part 2. Offset corrections
title_fullStr Use of electron backscatter diffraction patterns to determine the crystal lattice. Part 2. Offset corrections
title_full_unstemmed Use of electron backscatter diffraction patterns to determine the crystal lattice. Part 2. Offset corrections
title_short Use of electron backscatter diffraction patterns to determine the crystal lattice. Part 2. Offset corrections
title_sort use of electron backscatter diffraction patterns to determine the crystal lattice. part 2. offset corrections
topic Research Papers
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10077852/
https://www.ncbi.nlm.nih.gov/pubmed/37032975
http://dx.doi.org/10.1107/S1600576723000146
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