Numerically stable form factor of any polygon and polyhedron

© Joachim Wuttke 2021.

Bibliographische Detailangaben
Veröffentlicht in:Journal of applied crystallography. - 1998. - 54(2021), Pt 2 vom: 01. Apr., Seite 580-587
1. Verfasser: Wuttke, Joachim (VerfasserIn)
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 2021
Zugriff auf das übergeordnete Werk:Journal of applied crystallography
Schlagworte:Journal Article Fourier shape transform form factors polyhedra
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520 |a 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 
650 4 |a Journal Article 
650 4 |a Fourier shape transform 
650 4 |a form factors 
650 4 |a polyhedra 
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