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Application of Focal Curves to the Evaluation of Conic Diffraction Lines

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DOI: 10.4236/jamp.2015.311166    3,425 Downloads   3,753 Views   Citations

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Enghardt, S. and Bauch, J. (2015) Application of Focal Curves to the Evaluation of Conic Diffraction Lines. Journal of Applied Mathematics and Physics, 3, 1386-1390. doi: 10.4236/jamp.2015.311166.

References

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[3] Kommerell, K. (1936) Das Grenzgebiet der elementaren und höheren Mathematik. K. F. Koehler Verlag, Leipzig.
[4] Biggin, S. and Dingley, D.J. (1977) A General Method for Locating the X-Ray Source Point in Kossel Diffraction. Journal of Applied Crystallography, 10, 376-385.
http://dx.doi.org/10.1107/S0021889877013806

  
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