A study on the limit of application of kinematical theory of X-ray diffraction
-
Diego Felix Dias
and
José Marcos Sasaki
Abstract
In this work, the limit of application of the kinematical theory of X-ray diffraction was calculate integrated intensities was evaluated as a function of perfect crystal thickness, when compared with the Ewald–Laue dynamical theory. The percentual difference between the dynamical and kinematical integrated intensities was calculated as a function of unit cell volume, Bragg angle, wavelength, module, and phase of structure factor and linear absorption coefficient. A critical thickness was defined to be the value for which the intensities differ 5%. We show that this critical thickness is 13.7% of the extinction length, which a specific combination of the parameters mentioned before. Also, we find a general expression, for any percentage of the difference between both theories, to determine the validity of the application of the kinematical theory. Finally, we also showed that the linear absorption decreases this critical thickness.
Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
Research funding: None declared.
Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
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Articles in the same Issue
- Frontmatter
- Graphical Synopsis
- Original Paper
- From the Ritter pile to the aluminum ion battery – Peter Paufler’s academic genealogy
- New ternary MgCo2Ga5 and MgNi2Ga5 gallides
- A study on the limit of application of kinematical theory of X-ray diffraction
- Synthesis, revised crystal structures, and refractive indices of ABW-type CsMTiO4 (M = Al, Fe, Ga) and ANA-type CsTi1.10Si1.90O6.50, and the determination of the electronic polarizability of 4-coordinated Ti4+
- Molecular inorganic polymers: synthesis and crystal structures of KCl72H2SeO3 and CsCl7H2SeO3
- Artefacts from Ban Chiang, Thailand: pottery with hematite-red geometric patterns
- Theoretical and experimental solid state studies of Ethyl 1-benzyl-2-(thiophen-3-yl)-1H-benzo[d]imidazole-5-carboxylate
