The Open UniversitySkip to content

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.

DOI (Digital Object Identifier) Link:
Google Scholar: Look up in Google Scholar


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 Item
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/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 25905
Depositing User: Timothy Lowe
Date Deposited: 08 Apr 2011 13:44
Last Modified: 07 Dec 2018 09:47
Share this page:


Altmetrics from Altmetric

Citations from Dimensions

Actions (login may be required)

Policies | Disclaimer

© The Open University   contact the OU