Precise and accurate lattice parameters by film powder methods. I. The likelihood ratio method

Abstract

A statistical method called the Likelihood Ratio Method (LRM) has been developed which permits determining lattice parameters accurately within the precision of the Bragg angle measurements if these measurements have been individually corrected for systematic errors. The LRM incorporates a test (the LRT) which indicates when the systematic errors have been removed from the X-ray data in a valid statistical manner. The LRM is applicable to all diffractometer or film methods which can be corrected for systematic errors.