Dear Debora,

we have done some temperature-dependent EXAFS measurements on nanoparticles (NPs) and analyzed the data through multiple dataset fits, as published in:
L.L. Araujo et al., Physical Review B 78, 094112, 2008.
R. Giulian et al., Journal of Physics: Condensed Matter 21, 155302, 2009.
P. Kluth et al., AIP Conference Proceedings 882, 731, 2007.
I also strongly recommend you take a look at the references therein, like Anatoly Frenkel et al papers on Pt (and possibly other) NPs. I believe more people in the mailing have also done some work on this area and hopefully they will provide you with more references.

As for the second part of the question, you will notice that for the NPs we have restricted our analysis to first NN shell only, where we are sure correlations between overlapping single-scattering and multiple-scattering paths are not affecting the MSRD or sigma2. We have compared the MSRDs obtained by fitting each temperature individually with the ones obtained by the multiple dataset fit forcing them to follow the Einstein model and the results are virtually the same within error bars. For our first shell neighbours there is a physical bond between the atoms and thus realting the Einstein frequency to an effective interatomic potential, its force constants and the mean vibrational frequency is physically plausible, as demostrated in several references such as PRB 48, 585, 1993 and PRB 70, 174301, 2004 (among others, obviously).

My personal opinion is that for higher shells you can still restrain the MSRDs to follow the Einstein model, but you should be very careful with the physical interpretation of the obtained Einstein frequencies. I say that because we actually discuss this very issue in a paper with exafs measurements in bulk InP, which has just been accepted for publication in PRB. If you are interested, I can send you a copy of the manuscript.
My final advice would be looking for articles in bulk materials as well (there are many of them, I can assure you) because this issue is approached in some of them, like in Paolo Fornasini's papers, for example.
Just keep in mind that, as it happens often with exafs, different authors may have different points of view. Hopefully you will get more answers here in the mailing list.

Hope this helps,
Leandro

On Sat, Apr 18, 2009 at 12:23 AM, Debora Meira <debsmeira@hotmail.com> wrote:

Dear all,
I'd like to know a reference that has multiple set data fit as a function of temperature in nanoparticles. Is the relation of Debye Waller factor (s² = s_s² + s_d²) valid for the higher shells? In particular, can I use the Einstein model for s_d²?

Thanks in advance, Débora

Débora M Meira
Universidade Federal de São Carlos
Pós-Graduação em Engenharia Química
Laboratório de Catálise
Tel: (16) 92461134 / (16) 34125935

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