This is a summary/discussion of the results from:
This paper describes the formation of nanoparticle superlattices from anisotropic nano-objects. In the Supplementary Information information, the authors describe how to model x-ray scattering data from lattices of anisotropic nanoparticles.
Summary of Mathematics
Randomly oriented crystals give scattering intensity:

Where the structure factor is defined by an orientational average (randomly oriented crystal(s)):

and can be computed by:

Where c is a constant, and L is the peak shape; such as:

Note that the presented form of
is closely-related to the lattice factor. The (isotropic) form factor intensity is an average over all possible particle orientations:

The form factor amplitude is computed via:

Form Factors
The SI also provides form factors for a variety of nano-object shapes: