Lindsay, Aaron PMueller, Andreas JMahanthappa, Mahesh KLodge, Timothy PBates, Frank S2021-09-082021-09-082021-09-08https://hdl.handle.net/11299/223279Voronoi (Wigner-Seitz) cells and related calculations can be performed using VoronoiTesselation.m. The code is heavily commented with instructions included. Sample .xtl structure files exported from Vesta are included for various crystals and are readily loaded into the program. 2D diffraction patterns can be simulated using the associated diffraction.m script. The angle of the structure relative to an incident beam is readily changed and various structures can be examined using the same structure loading algorithms used for VoronoiTesselation.m. See link to index 1D SAXS data: https://hdl.handle.net/11299/223278This series of MATLAB codes was developed to generate publication-quality Wigner-Seitz cells for a variety of structures. These are frequently desired for self-assembled micellar systems, wherein the geometry of the Wigner-Seitz cell plays a role in the emergence of several packings. The main algorithm (VoronoiTesselation.m) is generalized, allowing specification of lattice positions and parameters or the upload of these values from a .xtl file exported from Vesta. Added is the ability to determine various cell parameters, including the coordination number, area/volume, and the second-moment volume, which is proportional to the stretching moment for polymer chains stretched from the cell center to the cell edges. A simple algorithm for simulation of 2D diffraction patterns is also included (diffraction.m).GNU General Public Licensehttps://www.gnu.org/licenses/gpl-3.0.en.htmlVoronoi TesselationWigner-Seitz cell2D diffractionParticle packingFrank-Kasper phasesBlock polymerDatasethttps://doi.org/10.13020/5bdw-8r09