Lorentz and orientation factors in fiber X-ray diffraction analysis

The application of a general formulation of the Lorentz factor for any distribution of crystallite orientations to a uniaxial fiber structure reveals that current practice, which involves the use of a standard single-crystal rotation factor, is inadequate. An analysis is presented which eliminates the need for a detailed knowledge of the distribution function and which can be applied to measured peak intensities. The resulting expressions significantly improved the agreement between sets of experimental test data.