Journal Article

FZJ-2021-01527

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Numerically stable form factor of any polygon and polyhedron

Wuttke, J. (Corresponding author)FZJ*

2021
Wiley-Blackwell [S.l.]

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Please use a persistent id in citations: http://hdl.handle.net/2128/27510  doi:10.1107/S1600576721001710

Abstract: Coordinate-free expressions for the form factors of arbitrary polygons and polyhedra are derived using the divergence theorem and Stokes's theorem. Apparent singularities, all removable, are discussed in detail. Cancellation near the singularities causes a loss of precision that can be avoided by using series expansions. An important application domain is small-angle scattering by nanocrystals.

Keyword(s): Others (1st) ; Condensed Matter Physics (2nd) ; Crystallography (2nd) ; Materials Science (2nd)

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Contributing Institute(s):

1. JCNS-FRM-II (JCNS-FRM-II)
2. Heinz Maier-Leibnitz Zentrum (MLZ)
3. JCNS-4 (JCNS-4)

Research Program(s):

1. 6G4 - Jülich Centre for Neutron Research (JCNS) (FZJ) (POF4-6G4) (POF4-6G4)
2. 623 - Data Management and Analysis (POF4-623) (POF4-623)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2021

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Database coverage:
; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; DEAL Wiley ; Ebsco Academic Search ; Essential Science Indicators ; IF < 5 ; JCR ; Nationallizenz ; PubMed Central ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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