Oooo, picking up where Friday left off......
Must go and put the coffee pot on :-)


- refining of "fundamental parameters" is nonsense, unless one is not
familiar with his diffractometer or want/must "absorb" any unkown effects
or weaknesses of his model :-)

In a perfect world this would be the case, but given that very few people
run systems that conform to the requirements for true fundamental parameters
(Bragg-Brentano with NO monochromator, mirrors, etc), then one is not really
using fundamental parameters per se, which is why using the term
convolution-based profile fitting is a better terminology.  Some of the
effects of things like monochromators are amenable to modelling - they act
in the same way as a Soller slit, as well as having a slight effect on the
radiation characteristics reaching the detector.
The only thing that the fundamental parameters does is to convolute certain
functions into the source profiles.  In the case of the conventional
Bragg-Brentano, these functions are known, and their dependence on the
geometry known.  For other systems is it a good start, but other, user
defined functions (or modifications of the existing ones) may be necessary
to correctly model the instrument function, which, at the end of the day is
what you need.
I don't know if you've any experience with them, but if you can model the
effects of two mirrors on the profiles of a system (including minor errors
in alignment in both) then you are a better person than I.  I can say for
certain that I tried for a long time to get GSAS to fit these profiles
without much success.  Unless you can model the profiles properly then you
are wasting your time doing refinements as the intensities are going to be
all wrong.  I can say that I'm extremely happy with the fits I get.  The
only thing I don't look forward to is realigning my system! :-)



- Pamela, there are surely additional reasons (besides the FPA peak shape
modelling) for the high stability and the easy use of the programs like
BGMN and Topas in comparision to traditional DBWS and similar codes: a more
stable minimization algorithm, the extensive and easy use of
restraints/constraints...

This is true - I don't know about BGMN, but Topas has a very stable
algorithm.  However, Topas will also use more conventional profile
characteristics, and can suffer from some similar and some different
problems from conventional programs.  I have been a long time user of GSAS
and appreciate the stability of Topas, but one must be careful to make sure
the parameters make sense at the end of the day.  Only having one or two
variables in the profile shape is a constraint in itself, additionally
contributing to a stable refinement in complex systems.  



Pam


At 15:11 04.06.2004 +0200, you wrote:
>
>>Is the fundamental parameter approach better than
>>mathematical approach used in most of the Rietveld
>>refinement programs? 
>>
>Perhaps someone is about to explain the difference is between 
>"fundamental parameters" and anything else? I used to think it might 
>mean convoluting something which was actually measured into the 
>peakshape description, but this doesn't always seem to be the case? I'm 
>guessing it has to be more than choosing suitable equations for peak 
>width parameters and peak positions as a function of scattering 
>variable, otherwise all programs are using fundamental parameters 
>already, just some are better approximations for certain diffractometers 
>than others.
>
>In any case, if the calculated peakshape matches the observed peakshape 
>then it makes no difference for refinement of a crystal structure. For 
>deriving microstructural parameters, like "size" and "strain", then a 
>better description of the instrument can help, and can be a good 
>indicator of diffractometer misalignment. In that sense, zero shift is a 
>fundamental parameter, but does not seem to be unique to "fundamental 
>parameters" programs. Perhaps the difference is that programs which 
>don't do "fundamental parameters" make you compute "size" and "strain" 
>from the peakshape parameters yourself.
>
>Jon
>
Dr. R. Kleeberg
TU Bergakademie Freiberg
Institut f�r Mineralogie
Brennhausgasse 14
D-09596 Freiberg
Germany
Tel. +49 (0) 3731-39-3244
Fax. +49 (0) 3731-39-3129

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