X+ is a computer program that can model multilayer single geometry-based structures that may also be in Space-Filling lattices. 

The geometries include rectangular cuboids, a stack of layered structures, multiple spherical shells, concentric hollow cylindrical or distorted cylindrical structures, or a series of coaxial shifted helical structures.
Each layer or subunit has an electron density profile that can be uniform, Gaussian, or a sum of hyperbolic tangents


geometric models
Geometries that can be modeled in X+. Each geometry can have many layers with varying thicknesses and electron density profile. Each shape can be placed in a space-filling lattice.




The features of X+ include phase fitting algorithms to obtain lattice parameters and peak indices, model resolution function, and sample polydispersity. The range of models that X+ can compute is limited.  Geometrical models can fit low-angle X-ray scattering data (corresponding to relatively low-resolution information in real-space).

The program was developed and tested by Avi Ginsburg, Tal Ben-Nun,  Pablo Székely,  and Uri Raviv from the Institute of Chemistry at the Hebrew University of Jerusalem.

X+ is described in our paper.

Go to X+

From more advanced modeling software check our state-of-the-art program D+.

Check our complete list of software and algorithm publications.