Universität zu Köln

Bender, Philipp ORCID: 0000-0002-2492-3956, Zakutna, Dominika ORCID: 0000-0001-9417-6514, Disch, Sabrina ORCID: 0000-0002-4565-189X, Marcano, Lourdes, Venero, Diego Alba and Honecker, Dirk ORCID: 0000-0003-0763-982X (2019). Using the singular value decomposition to extract 2D correlation functions from scattering patterns. Acta Crystallogr. Sect. A, 75. S. 766 - 772. CHESTER: INT UNION CRYSTALLOGRAPHY. ISSN 2053-2733

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Abstract

The truncated singular value decomposition (TSVD) is applied to extract the underlying 2D correlation functions from small-angle scattering patterns. The approach is tested by transforming the simulated data of ellipsoidal particles and it is shown that also in the case of anisotropic patterns (i.e. aligned ellipsoids) the derived correlation functions correspond to the theoretically predicted profiles. Furthermore, the TSVD is used to analyze the small-angle X-ray scattering patterns of colloidal dispersions of hematite spindles and magnetotactic bacteria in the presence of magnetic fields, to verify that this approach can be applied to extract model-free the scattering profiles of anisotropic scatterers from noisy data.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Bender, Philipp UNSPECIFIED orcid.org/0000-0002-2492-3956 UNSPECIFIED Zakutna, Dominika UNSPECIFIED orcid.org/0000-0001-9417-6514 UNSPECIFIED Disch, Sabrina UNSPECIFIED orcid.org/0000-0002-4565-189X UNSPECIFIED Marcano, Lourdes UNSPECIFIED UNSPECIFIED UNSPECIFIED Venero, Diego Alba UNSPECIFIED UNSPECIFIED UNSPECIFIED Honecker, Dirk UNSPECIFIED orcid.org/0000-0003-0763-982X UNSPECIFIED
URN:	urn:nbn:de:hbz:38-143091
DOI:	10.1107/S205327331900891X
Journal or Publication Title:	Acta Crystallogr. Sect. A
Volume:	75
Page Range:	S. 766 - 772
Date:	2019
Publisher:	INT UNION CRYSTALLOGRAPHY
Place of Publication:	CHESTER
ISSN:	2053-2733
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Chemistry > Institute of Physical Chemistry
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language SMALL-ANGLE SCATTERING; X-RAY-SCATTERING; INDIRECT FOURIER TRANSFORMATION; HEMATITE PARTICLES; ALIGNMENT; COLLOIDS Multiple languages Chemistry, Multidisciplinary; Crystallography Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/14309