Because the data is typically a 1D powder diffractogram they are usually processed using Rietveld refinement.

The MAUD program - software for Rietveld refinement.

Rietveld refinement is a technique devised by Hugo Rietveld for use in the characterisation of crystalline materials.

He is famous for his invention of the Rietveld refinement method, which is used for the characterisation of crystalline materials from powder diffraction data.

The Rietveld refinement uses a least squares approach to refine a theoretical line profile (calculated from a known or postulated crystal structure) until it matches the measured profile.

In 1995 Clearfield and coworkers elucidated its structure using X-ray powder diffractometry (XRPD) and the Rietveld refinement method.