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Determination of depth-dependent diffraction data: a new approach

Broadhurst, A.; Rogers, K. D.; Lowe, T. W. and Lane, D. W. (2005). Determination of depth-dependent diffraction data: a new approach. Acta Crystallographica Section A: Foundations of Crystallography, A61 pp. 139–146.

URL: http://journals.iucr.org/a/issues/2005/01/00/issco...
DOI (Digital Object Identifier) Link: http://dx.doi.org/10.1107/S0108767304026881
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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.


Item Type: Journal Article
Copyright Holders: 2005 International Union of Crystallography
ISSN: 1600-5724
Project Funding Details:
Funded Project NameProject IDFunding Body
Not SetNot SetEPSRC (Engineering and Physical Sciences Research Council)
Keywords: depth profiling; Fredholm integral equation; regularization
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 25905
Depositing User: Timothy Lowe
Date Deposited: 08 Apr 2011 13:44
Last Modified: 13 Feb 2014 09:42
URI: http://oro.open.ac.uk/id/eprint/25905
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