XAFS spectroscopy. I. Extracting the fine structure from the absorption spectra

Details XAFS spectroscopy. I. Extracting the fine structure from the absorption spectra XAFS spectroscopy. I. Extracting the fine structure from the absorption spectra

2000-03-28

arxiv.org/abs/physics/0003086v1

J. Phys. D: Appl. Phys. 34 (2001) No 2, 209--217

Physics

Data Analysis, Statistics and Probability

16 pages, 7 figures, for freeware XAFS analysis program, see http://www.crosswinds.net/~klmn/viper.html

Scientific paper

10.1088/0022-3727/34/2/309

Three independent techniques are used to separate fine structure from the absorption spectra, the background function in which is approximated by (i) smoothing spline. We propose a new reliable criterion for determination of smoothing parameter and the method for raising of stability with respect to k_min variation; (ii) interpolation spline with the varied knots; (iii) the line obtained from bayesian smoothing. This methods considers various prior information and includes a natural way to determine the errors of XAFS extraction. Particular attention has been given to the estimation of uncertainties in XAFS data. Experimental noise is shown to be essentially smaller than the errors of the background approximation, and it is the latter that determines the variances of structural parameters in subsequent fitting.

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