INTRODUCTION
Through the quantitative analytical chemistry, people can readily obtain the elemental compositions of a material,
but usually to distinguish the chemical identity of various phases in a mixture and to determine the precise amounts
of each phase present are of great difficulty. Powder X-ray diffraction analysis, on the other hand, is seemingly the
perfect technique for the crystalline-mixture analysis, because each component of the mixture produces its
characteristic pattern independently and makes the identification of various components possible. Moreover, the
intensity of the pattern of each component is proportional to the amount present, so the quantitative analysis of
various components is developed. Now analytical determinations of quartz in the presence of mineral silicates,
mixed alloy phases of different proportions of the same elements, and the relative amounts of polymorphs in a
mixture are handled routinely by the diffraction technique, while these determinations are difficult, or impossible, by
using chemical methods [26-30]....
