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The X-Ray Diffraction Image of a Stacking Fault

Published online by Cambridge University Press:  06 March 2019

Norio Kato ,
Katsuhisa Usami  and
Takeshi Katagawa
Norio Kato
Affiliation:
Nagoya University Nagoya, Japan
Katsuhisa Usami
Affiliation:
Nagoya University Nagoya, Japan
Takeshi Katagawa
Affiliation:
Nagoya University Nagoya, Japan
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Abstract

The spherical wave theory of X-ray Pendellosung fringes in perfect crystals (N. Kato, Acta Cryst, 14: 526, 627, 1961) is extended to the case of crystals including a single stacking fault in an arbitrary way, Kelvin's stationary phase method is used extensively. The stationary phase condition gives us the trajectories of X-ray beams in the crystal. The phase and the amplitude along each trajectory are obtained by straightforward calculation. Based on this crystal wave field, the section patterns in X-ray diffraction topographs are obtained both for the direct and the Braggreflected waves. Characteristic fringe-patterns are expected. Through the image of a fault plane in a single section pattern, the geometrical configuration inside the crystal and the magnitude of the fault vector can be determined. Traverse patterns are also discussed. The fault image based on the plane wave theory (Whelan and Hirsch, Phil. Mag. 2: 1121, 1303, 1957) is also reformulated in the most general Laue case without the use of ad hoc assumptions on the shape of the dispersion surface.

Type
Research Article
Information
Advances in X-Ray Analysis , Volume 10: Fifteenth Annual Conference on Applications of X-ray Analysis, August 10-12, 1966 , 1966 , pp. 46 - 66
Copyright
Copyright © International Centre for Diffraction Data 1966

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References

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