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@ARTICLE{Wuttke:891445,
      author       = {Wuttke, Joachim},
      title        = {{N}umerically stable form factor of any polygon and
                      polyhedron},
      journal      = {Journal of applied crystallography},
      volume       = {54},
      number       = {2},
      issn         = {1600-5767},
      address      = {[S.l.]},
      publisher    = {Wiley-Blackwell},
      reportid     = {FZJ-2021-01527},
      pages        = {580-587},
      year         = {2021},
      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.},
      cin          = {JCNS-FRM-II / MLZ / JCNS-4},
      ddc          = {540},
      cid          = {I:(DE-Juel1)JCNS-FRM-II-20110218 / I:(DE-588b)4597118-3 /
                      I:(DE-Juel1)JCNS-4-20201012},
      pnm          = {6G4 - Jülich Centre for Neutron Research (JCNS) (FZJ)
                      (POF4-6G4) / 623 - Data Management and Analysis (POF4-623)},
      pid          = {G:(DE-HGF)POF4-6G4 / G:(DE-HGF)POF4-623},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)16},
      pubmed       = {33953657},
      UT           = {WOS:000637331900020},
      doi          = {10.1107/S1600576721001710},
      url          = {https://juser.fz-juelich.de/record/891445},
}