Fundamental parameters approach applied to focal construct geometry for X-ray diffraction

A novel geometry for the acquisition of powder X-ray diffraction data, referred to as focal construct geometry (FCG), is presented. Diffraction data obtained by FCG have been shown to possess significantly enhanced intensity due to the hollow tube beam arrangement utilized. In contrast to conventional diffraction, the detector is translated to collect images along a primary axis and record the location of Bragg maxima. These high intensity condensation foci are unique to FCG and appear due to the convergence of Debye cones at single points on the primary axis. This work focuses on a two dimensional, fundamental parameter's approach to simulate experimental data and subsequently aid with interpretation. This convolution method is shown to favorably reproduce the experimental diffractograms and can also accommodate preferred orientation effects in some circumstances.