Quantitative analysis using Toraya's "Direct Derivation" method

Using the so-called "Direct Derivation" (DD) method (proposed by H. Toraya in 2016 [1]) you can perform a quantitative phase analysis, just based on the known composition and integrated peak intensities of the phases (details see below).

In order to perform this analysis, you first have to finish the qualitative analysis of the phases in your sample. Afterwards, simply run the command "Direct Derivation (Toraya)" in the �Quantify� menu (which is available as soon as two (or more) phases are selected as �matching�). The amounts in the match list will be replaced by the ones obtained from the Toraya �DD� analysis. A corresponding information is also given in the report.


The "Direct Derivative" (DD, Toraya) method for quantitative analysis derives the phase amounts as follows:

The "DD method" is advantageous to other quantitative analysis methods for several reasons:

Please note:


[1] Hideo Toraya, "A new method for quantitative phase analysis using X-ray powder diffraction: direct derivation of weight fractions from observed integrated intensities and chemical compositions of individual phases", J. Appl. Cryst. 49, 1508-1516 (2016). https://doi.org/10.1107/S1600576716010451