Herewith a small program I wrote a while ago and some documentation on how it’s built up.<\/p>\n
The Matlab program can calculate the scattering pattern of a superellips of revolution. I hope it is of some use to some of you, if only for satisfying curiosity.\u00a0The program runs in Matlab, opens a GUI, which requires the input of five variables.<\/p>\n
The first two dictate the limits in q<\/span>\u00a0that one is interested in. The minimum q value determines the maximum size of the real-space box, and the distance between the minimum q and the maximum q determines the pixel resolution in real space. Good values for these are, for example, 0.01 for the minimum q and 2 for the maximum q.\u00a0<\/p>\n The three other variables determine the size and shape of the superellips-of-revolution. The superellips is generated \u00a0with width a<\/span> (in Angstrom), height b<\/span>, and curvature r<\/span>. The ellips is then revolved around the vertical axis to generate the ellips-of-revolution. A nice value for these are, for example, a=20, b=100, r=4<\/span>.\u00a0<\/p>\n Please see the attached documentation and have fun running the program. The program is distributed under the GPL V3 license.\u00a0geomsuperell.pdf<\/a>superellips-of-revolution scattering pattern simulator<\/a>\u00a0<\/p>\n","protected":false},"excerpt":{"rendered":"