To all:
 
The mathematical description of "crystals" is valid for the bulk of the volume. 
 However, the description suffers from a physical "termination of series" 
effect at the surface of the crystal.  For very large crystals, the amount of 
surface is much greater relative to the total volume of the crystal.  However, 
when the crystalline material approaches what we now refer to as the "nano" 
state (perhaps less than 40 Angstroms - 8 to 10 unit cells), the amount of 
surface becomes significant.  The chemical composition - oxidation state of 
surface atoms - is intuitively different at the surface of a material than 
within the bulk.  How does one deal with that situation?  The effects are 
present in the powder pattern; how does one model them?
 
Frank May
Research Investigator
Department of Chemistry & Biochemistry
University of Missouri - St. Louis
One University Boulevard
St. Louis, Missouri  63121-4499
U.S.A
 
314-516-5098 - office
314-623-4524 - cell

________________________________

From: Larry Finger [mailto:[EMAIL PROTECTED]
Sent: Wed 4/2/2008 9:47 AM
To: Jae-Ho Chung
Cc: [email protected]
Subject: Re: Question on Rietveld with x-ray



Jae-Ho Chung wrote:
> Dear experts on Rietveld with x-ray,
>
> 
>
> When it comes to Rietveld, I have exclusively been working with
> neutrons. Now I am just trying Rietveld with x-rays, and immediately
> came up with a question. Since x-ray scatters from electrons, it seems
> to me that we always have to use, for instance, O-2 instead of O, and so
> on, for ionic compounds. But I have an impression that O is still used
> in many examples, including certain example files given in GSAS, such as
> Y2O3.EXP. Why is it?

I suggest that you plot the scattering curves for O and O-2, and then
decide how much difference it makes. In addition, you should also
postulate a theory concerning the differences. Hint: The electron
cloud is not a "point object".

> As a naturally following question, since no material is perfectly ionic,
> the oxidation numbers may become another "refinable" parameters. But I
> suppose they are never refinable in GSAS or in FullProf. Therefore, I
> suppose the fractional occupation may be compromised instead? Is this in
> any way discussed among x-ray experts?

See above. What experiment would you propose to make the oxidation
number be refinable?

Larry



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