Published online by Cambridge University Press: 10 January 2013
A general expression for the method of QXRPD without standards is given in this paper to solve the problem of phase analysis on samples containing a non-crystalline component. Its application to some specific cases is discussed. The experiments have proved successful in the analysis of cement and sand-lime samples. The technique may also be applicable for the analysis of fly-ash, glass, ceramics, and metals. It is especially convenient in the study of kinetics and mechanism of reactions when the chemical composition of all samples does not change, because it is not necessary to know the mass absorption coefficient of samples. In the mathematical treatment of non-linear equations given in this paper, a method called linearized iteration procedure is first presented by the author.