Quantitative interpretation of X-ray diffraction patterns of mixtures. III. Simultaneous determination of a set of reference intensities

A set of reference intensities, k_i, are required for the quantitative interpretation of X-ray diffraction patterns of mixtures. Each k_i was heretofore determined individually from binary mixtures of a one-to-one weight ratio. A procedure for the determination of all k_i's of interest simultaneously is presented. The X-ray diffraction patterns of multicomponent mixtures usually contain overlapping peaks. This overlapping problem can be avoided by choosing an arbitrary reference material already present in the mixture and/or using the strongest resolved reflections directly. These concepts are substantiated by ten examples. The maximum standard deviation of the matrix-flushing method has been estimated to be 8% relative.