> It was shown in paragraph 6 of JAC 35 (2002) 338-346 that
> size-broadened
> profiles given by both lognormal and gamma distributions can be
> approximated
> by a weighted sum of Lorentz and Gauss functions for a broad range of
> distribution dispersions. Besides, round robins can sometimes be long
> adventures...

Yes, profiles can be approximated, but the question is not in
approximating profiles. The primary topic of the discussion is "Size
Strain in GSAS". GSAS and most other Rietveld refinement programs use
TCH-pV profile function which provides the simplest and more or less
correct way for separating microstructural and instrumental broadening
contributions. Unfortunately, the microstructural parameters such as Dv
and Da sizes derived (classically) from TCH-pV deviate significantly
from reality for narrow and broad dispersions. That's why the
TCH-pV-based calculations of Dv, Da or average crystallite diameter
need to be modified and calibrated on, at least, simulated data for
various dispersions.
The formalisms presented in chapters 6 and 7 of JAC 35 (2002) 338-346
are more complex and they don't give a clear way for separating
microstructural from instrumental effects and, besides, for estimating
the values of Dv, Da or <R>. 

Leonid


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