TY  - JOUR
AU  - Wuttke, Joachim
TI  - Numerically stable form factor of any polygon and polyhedron
JO  - Journal of applied crystallography
VL  - 54
IS  - 2
SN  - 1600-5767
CY  - [S.l.]
PB  - Wiley-Blackwell
M1  - FZJ-2021-01527
SP  - 580-587
PY  - 2021
AB  - 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.
LB  - PUB:(DE-HGF)16
C6  - 33953657
UR  - <Go to ISI:>//WOS:000637331900020
DO  - DOI:10.1107/S1600576721001710
UR  - https://juser.fz-juelich.de/record/891445
ER  -