The radii of these rings contain information about the interplanar distances d inside the scattering crystals. Integrating the two-dimensional diffraction patterns over the polar (azimuthal) angle yields a one-dimensional radial scatter profile IXRD(xi , ωk, 2θ) for each (xi , ωk) combination. Figure 2 and Eqn 3 illustrate that these scatter profiles can be considered to be the sum of the contributions from a series of crystal phases.