Abstract
Micro diffraction methods like the Kossel or X-ray rotation tilt techniques generate diffraction patterns consisting of conic sections. Extracting information about lattice parameters, orientation or stresses from those patterns generally requires additional information. As a consequence, it is necessary to make high precision measurements of the pattern center and the detector-sample distance. By modeling the focal curves of a diffraction pattern it is possible to determine these parameters from only a single exposure. The focal curves of the conic sections in the detected image intersect (ideally) at the inspected sample point. This point is also the apex of all diffraction cones. The use of the geometry of the focal curves leads to an improved accuracy for the determination of lattice constants, residual stress and strain tensors by avoiding mechanical frames and their accompanying measurement errors. Therefore, by using this analysis route it is possible to extract three-dimensional crystal information out of a single two-dimensional diffraction pattern.
Highlights
In order to gather quantitative three-dimensional lattice information from two-dimensional diffraction patterns it is in most cases necessary to obtain additional three-dimensional information
In terms of the Kossel technique, the need to measure this parameter is a distinct disadvantage with regard to the automation of the whole procedure
Bauch achieve this goal is the application of the so-called focal curves for diffraction patterns consisting of conic sections [1]
Summary
In order to gather quantitative three-dimensional lattice information from two-dimensional diffraction patterns it is in most cases necessary to obtain additional three-dimensional information. Measurement errors obtained when determining this distance directly influence the results or possibly lead to nonconverging numerical results. In terms of the Kossel technique, the need to measure this parameter is a distinct disadvantage with regard to the automation of the whole procedure. (2015) Application of Focal Curves to the Evaluation of Conic Diffraction Lines. Bauch achieve this goal is the application of the so-called focal curves for diffraction patterns consisting of conic sections [1].
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