Work

Same same but Different - Definition and Explicit Notation of an Orientation in MTEX vs. Quasi-Standard

Year: 2024

Type: article

Abstract: Even though the descriptive definition of orientation is the same in both settings, the explicitnotation of a crystallographic orientation as (3 3) matrix in terms of Euler angles featuredby the popular MATLAB toolbox MTEX differs by an inversion from the quasi-standard notation datedback to the early days of quantitative texture analysis championed by H.-J. Bunge. The origin of thisdiscrepancy is revealed by an enlightening view provided in algebraic terms of a change of basis.Understanding the effect of inversion is instrumental to do proper computations with crystallographicorientations and rotations, e.g. when multiplying with elements of a crystallographic symmetry group,and to compare results of texture analyses accomplished in different settings.

Source: Diffusion and defect data, solid state data. Part B, Solid state phenomena/Solid state phenomena

DOI: 10.4028/p-2tcx0i

Author: Helmut Schaeben

Institution: TU Bergakademie Freiberg

Language: English

Topic: Microstructure and mechanical properties

Subfield: Materials Chemistry

Field: Materials Science

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4404241612

FWCI:

Cites: 1

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Related to: 10