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Manual measurement of angles in backscattered and transmission Kikuchi diffraction patterns
Author(s) -
Nolze Gert,
Tokarski Tomasz,
Cios Grzegorz,
Winkelmann Aimo
Publication year - 2020
Publication title -
journal of applied crystallography
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.429
H-Index - 162
ISSN - 1600-5767
DOI - 10.1107/s1600576720000692
Subject(s) - optics , position (finance) , projection (relational algebra) , diffraction , zone axis , plane (geometry) , lattice (music) , stereographic projection , kikuchi line , physics , geology , geometry , computer science , electron diffraction , mathematics , algorithm , acoustics , finance , economics , reflection high energy electron diffraction
A historical tool for crystallographic analysis is provided by the Hilton net, which can be used for manually surveying the crystal lattice as it is manifested by the Kikuchi bands in a gnomonic projection. For a quantitative analysis using the Hilton net, the projection centre as the relative position of the signal source with respect to the detector plane needs to be known. Interplanar angles are accessible with a precision and accuracy which is estimated to be ≤0.3°. Angles between any directions, e.g. zone axes, are directly readable. Finally, for the rare case of an unknown projection‐centre position, its determination is demonstrated by adapting an old approach developed for photogrammetric applications. It requires the indexing of four zone axes [ uvw ] i in a backscattered Kikuchi diffraction pattern of a known phase collected under comparable geometric conditions.