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Broadhurst, A.; Rogers, K. D.; Lowe, T. W. and Lane, D. W.
(2005).
DOI: https://doi.org/10.1107/S0108767304026881
URL: http://journals.iucr.org/a/issues/2005/01/00/issco...
Abstract
A direct method for determining powder diffraction data at specific depths from angle-dependent diffraction data is described. The method is non-destructive and only traditional data collections, where the angle of incidence is varied, are required. These angle-dependent spectra are transformed to give diffraction data arising from different depths, which may then be exploited using any conventional method. This is a novel approach as traditional methods are forced to tolerate the inherent depth averaging of grazing-angle diffraction, or only examine specific structural characteristics. In order to obtain depth-dependent X-ray diffraction data, a Fredholm integral equation of the first kind is solved using regularization techniques. The method has been validated by the generation of pseudo-experimental data having known depth profiles and solving the Fredholm integral equation to recover the solution. The method has also been applied to experimental data from a number of thin film systems.
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About
- Item ORO ID
- 25905
- Item Type
- Journal Item
- ISSN
- 1600-5724
- Project Funding Details
-
Funded Project Name Project ID Funding Body Not Set Not Set EPSRC (Engineering and Physical Sciences Research Council) - Keywords
- depth profiling; Fredholm integral equation; regularization
- Academic Unit or School
-
Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM) - Copyright Holders
- © 2005 International Union of Crystallography
- Depositing User
- Timothy Lowe