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We propose a versatile software package in the form of a Python extension,named CDEF (Computing Debye's scattering formula for ExtraordinaryFormfactors), to approximately calculate scattering profiles of arbitrarilyshaped nanoparticles for small-angle X-ray scattering (SAXS). CDEF generates aquasi-randomly distributed point cloud in the desired particle shape and thenapplies the open source software DEBYER for efficient evaluation of Debye'sscattering formula to calculate the SAXS pattern. If self-correlation of thescattering signal is not omitted, the quasi-random distribution provides fasterconvergence compared to a true random distribution of the scatterers,especially at higher momentum transfer. The usage of the software isdemonstrated for the evaluation of scattering data of Au nanocubes with roundededges, which were measured at the four-crystal monochromator beamline of PTB atthe synchrotron radiation facility BESSY II in Berlin. Our implementation isfast enough to run on a single desktop computer and perform model fits withinminutes. The accuracy of the method was analyzed by comparison withanalytically known form factors and verified with another implementation, theSPONGE, based on a similiar principle with fewer approximations. Additionally,the SPONGE coupled to McSAS3 allows us to further retrieve information on theuncertainty of the size distribution using a Monte-Carlo uncertainty estimationalgorithm.

Small-Angle X-ray Scattering: Characterization of cubic Au nanoparticles using Debye's scattering formula