Comparison and evaluation of pair distribution functions, using a similarity measure based on cross-correlation functions

© Stefan Habermehl et al. 2021.

Bibliographische Detailangaben
Veröffentlicht in:Journal of applied crystallography. - 1998. - 54(2021), Pt 2 vom: 01. Apr., Seite 612-623
1. Verfasser: Habermehl, Stefan (VerfasserIn)
Weitere Verfasser: Schlesinger, Carina, Prill, Dragica
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 2021
Zugriff auf das übergeordnete Werk:Journal of applied crystallography
Schlagworte:Journal Article R values cross-correlation functions pair distribution functions similarity measures total scattering techniques
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520 |a An approach for the comparison of pair distribution functions (PDFs) has been developed using a similarity measure based on cross-correlation functions. The PDF is very sensitive to changes in the local structure, i.e. small deviations in the structure can cause large signal shifts and significant discrepancies between the PDFs. Therefore, a comparison based on pointwise differences (e.g. R values and difference curves) may lead to the assumption that the investigated PDFs as well as the corresponding structural models are not in agreement at all, whereas a careful visual inspection of the investigated structural models and corresponding PDFs may reveal a relatively good match. To quantify the agreement of different PDFs for those cases an alternative approach is introduced: the similarity measure based on cross-correlation functions. In this paper, the power of this application of the similarity measure to the analysis of PDFs is highlighted. The similarity measure is compared with the classical R wp values as representative of the comparison based on pointwise differences as well as with the Pearson product-moment correlation coefficient, using polymorph IV of barbituric acid as an example 
650 4 |a Journal Article 
650 4 |a R values 
650 4 |a cross-correlation functions 
650 4 |a pair distribution functions 
650 4 |a similarity measures 
650 4 |a total scattering techniques 
700 1 |a Schlesinger, Carina  |e verfasserin  |4 aut 
700 1 |a Prill, Dragica  |e verfasserin  |4 aut 
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