prismformfactors 1.1.0

• This package allows the simulation of the scattering intensity and form factor of particles in the shape of a right prism with a regular polygon cross section with any number of sides. Both 1D intensity profile and 2D images can be simulated.
• Parameters for describing the shape are the length $L$ of the right prism, the number $n$ of the regular polygon cross section and the edge length $E$ of the polygon. Alternatively, the average radius $R_{ave}$ can be used instead of $E$.
• It can also be used with the ipywidgets package to manually fit experimental data with the provided models.

Installation

Package installation can be done using pip command:

pip install prismformfactors

as the package is available on PyPI (https://pypi.org/project/prismformfactors).

Example

add .dat file

and jupyter notebook (with many comments)

make the modification about $\sigma_L$ and $\sigma_w$ in vizualize

References

• Jules Marcone, Jaime Gabriel Trazo, Rahul Nag, Claire Goldmann, Nicolas Ratel-Ramond, Cyrille Hamon and Marianne Imperor-Clerc (2025) J. Marcone et al. , Form factor of prismatic particles for small-angle scattering analysis, JAC 2025

• Theory behind code: Wuttke "Numerically stable form factor of any polygon and polyhedron." Journal of Applied Crystallography 54.2 (2021): 580-587

Created on September 5th, 2024 and revised on January 24th, 2025

Creator: Marianne Impéror and Jules Marcone

Original Contributors: Marianne Impéror and Jules Marcone