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231225s2021 xx |||||o 00| ||eng c |
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|a 10.1107/S1600576721001710
|2 doi
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|a DE-627
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|a eng
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|a Wuttke, Joachim
|e verfasserin
|4 aut
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|a Numerically stable form factor of any polygon and polyhedron
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|c 2021
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|a Text
|b txt
|2 rdacontent
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|a ƒaComputermedien
|b c
|2 rdamedia
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|a ƒa Online-Ressource
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|a Date Revised 16.07.2022
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|a published: Electronic-eCollection
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|a Citation Status PubMed-not-MEDLINE
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|a © Joachim Wuttke 2021.
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|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
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|a Journal Article
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|a Fourier shape transform
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|a form factors
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|a polyhedra
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|i Enthalten in
|t Journal of applied crystallography
|d 1998
|g 54(2021), Pt 2 vom: 01. Apr., Seite 580-587
|w (DE-627)NLM098121561
|x 0021-8898
|7 nnns
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|g volume:54
|g year:2021
|g number:Pt 2
|g day:01
|g month:04
|g pages:580-587
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|u http://dx.doi.org/10.1107/S1600576721001710
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|d 54
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|h 580-587
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