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Nonsymmetrical X-ray diffraction in a perfect rectangular t x l crystal. Extinction and absorption.

Thorkildsen¹, Larsen

¹Department of Mathematics and Natural Science, Stavanger College, Ullandhaug, 4004 Stavanger, Norway. gunnar.thorkildsen@tn.his.no

Acta Crystallographica. Section A, Foundations of Crystallography

|August 6, 2000

Summary

This study investigates X-ray diffraction in rectangular crystals under nonsymmetrical scattering. Findings show that scattering geometry significantly impacts diffraction intensity contributions, especially at higher asymmetry values.

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X-ray diffraction in perfect t x l crystals. Rocking curves.

Acta crystallographica. Section A, Foundations of crystallography·2000

Area of Science:

Solid-state physics
Crystallography
X-ray diffraction theory

Background:

Diffraction in crystals is fundamental to materials characterization.
Understanding scattering phenomena in various crystal geometries is crucial.
Nonsymmetrical coplanar scattering introduces complexities in diffraction analysis.

Purpose of the Study:

To theoretically investigate X-ray diffraction in rectangular crystals.
To analyze the effects of nonsymmetrical coplanar scattering geometry.
To determine how asymmetry influences Laue-Bragg contributions and absorption.

Main Methods:

Theoretical analysis of diffraction.
Investigation of nonsymmetrical coplanar scattering.
Examination of mixed Laue-Bragg contributions to integrated power.

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Analysis of primary extinction and absorption effects.

Main Results:

Scattering asymmetry (gamma) alters weights of Laue-Bragg contributions.
Primary extinction and absorption are moderately affected for zeta < 1.
Increasing zeta and gamma significantly changes surface integration for Laue and Bragg regions.
Pronounced effects on diffraction intensity observed with increased asymmetry.

Conclusions:

The geometrical parameter zeta and asymmetry angle gamma critically influence diffraction patterns.
Analytical results for the normal absorption factor are derived.
This work provides insights into diffraction behavior in specific crystal geometries.