Miguel

I have seen low angle peaks that are void or have very little axial
divergence asymmetry. As an example, the low angle peak of Brucite in a
multiphase pattern often exhibits far less asymmetry that surrounding peaks
from different phases. This I am pretty sure is due to the preferred
orientation of the Brucite phase; do you have another explanation. Also
maybe the choice of word "spotty" is not accurate eqither but again do you
have a better adjective; how about incomplete cones.

>Refinement gave H/L=S/L=0.027 for the equatorial and axial 
>divergences stated on the fig.

By the way the FCJ corrects for axial divergence; not equitorial divergence.
It will as you pointed out fit to low angle peaks if its two parameters were
to be refined. These same two parameters fixed at their refined low angle
values will not fit to higher angle peaks. This conclusion was reached from
comparision with experimental data, you may want to look at Fig. 5 of Cheary
& Coelho (1998b)J. Appl. Cryst., 31, 862-868.

alan


-----Original Message-----
From: [EMAIL PROTECTED] [mailto:[EMAIL PROTECTED] 
Sent: Monday, 5 June 2006 8:37 AM
To: rietveld_l@ill.fr

 
(Larry) 
> Would it be possible for you to generate the data points for the same
> set of parameters with peaks at 5 and 10 degrees? That way the
> asymmetry will be really pronounced and the convolution method will be
> even more stressed. I don't expect it to make any difference, but I'd
> like to see it on the screen.
As a complement to calculated vs calculated peak shapes it might be 
interesting to compare calculated vs observed peak shapes for a 
material with low angle reflections (~8 deg 2theta, see attached figure). I 
used this MFI zeolite material to calibrate H/L and S/L for our BB 
diffractometer, although it is probably not the best choice due to peak 
overlap at higher angles, it simply was the best crystallized zeolite 
sample I had at hand. Refinement gave H/L=S/L=0.027 for the 
equatorial and axial divergences stated on the fig. Note that the axial div 
was 0.04 rad (as specified by Philips), maybe just the full opening as 
opposed to half opening (0.02 rad) specified by Larry earlier in this 
discussion.
Anyway, the fig shows clearly that the FCJ correction gives the proper 
peak shape at low angles, and in the case of MFI it was by far the most 
important contribution to get the quite low error indices given in the 
figure.

(Alan) 
> - Because of the speed dynamic analysis of things like preferred
> orientation effects on axial divergence is possible. These effects are
> manifested as spotty cones leading to a peak dependent axial
> divergence.
(Pamela)
axialdivergence is concerned, I believe that's what Soller slits are 
usually used for! Unless you're unlucky, poor particle statistics are far 
more likely to be a seriousheadache (one of my particular favourite 
soapbox subjects :-).
In a sample prepared for BB geometry, preferred orientation is not 
normally supposed to give spotty cones, I think. I agree with Pamela that 
spottiness is more typically due to problems with graininess of the 
sample. This effect is normally not even recognized in BB diffraction 
patterns, but it contributes, of course, to asymmetries of the peak shape 
and intensity enhancement, fortunately in a more or less random way in 
both cases. So if things look funny, the first thing to check is graininess 
of the sample: this issue cannot be overemphasized!

best

miguel



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