Jon,
I risk a public reply here. One possibility everyone should be open to is that a real 
phase change has occured during some experimental manipulation of your sample. Some 
phase changes are quite subtle and involve only slight (and at first sight) quite odd 
line broadening. Higher resolution study sometimes reveals a splitting of these peaks 
which is then taken as a sign of a phase change. However, without this the 
linebroadening is sometimes well described by various anisotropic models (and 
sometimes not!). Historically, one only need reflect on the work done over many years 
on various high Tc superconductors and their relatives to know what I mean. Andreas 
does have the right idea about random powders but solid polycrystalline materials 
(e.g. metal bars) are a different matter especially if they have been "worked" because 
the various crystallites are no longer in "equal" environments. Fortunately, the kind 
of stuff that happens in metals is generally much less of a problem i!
 n the other kinds of materials one studies by powder diffraction so models used in 
Rietveld refinements can be rather simplified.
Bob Von Dreele

________________________________

From: Jon Wright [mailto:[EMAIL PROTECTED]
Sent: Mon 4/26/2004 3:45 AM
To: [EMAIL PROTECTED]



 >... to answer to your (too) long questions. May be later, OK?

Going back to this quartics versus ellipsoids peak broadening stuff,
maybe I can summarise:

Why should the distribution of lattice parameters (=strain) in a sample
match the crystallographic symmetry? If the sample has random, isolated
defects then I see it, but if the strains are induced (eg: by grinding)
then I'd expect the symmetry to be broken. Suggests to me the symmetry
constraints should be optional, and that the peak shape function needs
to know about the crystallographic space group and subgroups. Either the
program or the user would need to recognise equivalent solutions when
the symmetry is broken (like the "star of k" for magnetic structures).

Why would anyone have anything against using an ellipsoid? That same
function can be described by the quartic approach, it just has less
degrees of freedom.

In short, I don't understand why there is such a strong recommendation
to use the quartics instead of ellipsoids or why the symmetry is not
optional. I'm still persuing this because I have looked at something
with a very small anisotropic broadening which seems to fit better with
an ellipsoid which breaks the symmetry compared to a quartic which doesn't!

Thanks for any advice,

Jon





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