A new method of additions is described for x-ray diffraction determina
tion of trace crystalline silica. The method is derived from Klug and
Alexander, X-ray Diffraction Procedures (Wiley, 1974, p. 536, Eqn. 7-1
4) and is expressed as x - sR(x)(1 - R(s))/(R(s) - R(x)) where x and s
are the concentrations of analyte and spike, and R(x) and R(s) are th
e relative intensities of analyte and spike. The method is particularl
y attractive because the mass absorption coefficient of the matrix can
be very different from silica, and large spikes can be used which min
imize homogenization errors. In addition, non-zero intercepts are avoi
ded. Trace determination of quartz at the < 0.1 wt.% level can be rout
inely accomplished by using the new method with rotating pressed-powde
r briquettes and a peak deconvolution strategy due to Wiedemann et al.
[Powder Diffraction, 2 (1987a, b) 130, 137.].