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000891445 1001_ $$0P:(DE-Juel1)131044$$aWuttke, Joachim$$b0$$eCorresponding author$$ufzj
000891445 245__ $$aNumerically stable form factor of any polygon and polyhedron
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000891445 520__ $$aCoordinate-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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