Many solids can be prepared only as microcrystalline powders and are nor su
itable for investigation by single crystal diffraction methods. To establis
h the structural properties of such materials, it is necessary to solve the
crystal structure directly from powder diffraction data. Here we highlight
fundamentals and applications of a method for structure solution from powd
er diffraction data in which a hypersurface based on the profile R-factor i
s searched using Genetic Algorithm techniques.