[Ifeffit] Linear combination fitting

[mzhu at udel.edu]

Hello Dominik,
  Based on your reply about LCF analysis, is the following statement true?

  "If the component sum is close to 1, it means that no significant component is missed in the LCF fitting."

  If it's true, could you please provide some reference articles for that? Thanks.

Best wishes,

Mengqiang Zhu 






-----------------------
Mengqiang Zhu
Ph.D Candidate 
Environmental Soil Chemistry
Department of Plant and Soil Sciences 
University of Delaware
152 Townsend Hall
Newark, DE 19716 
http://ag.udel.edu/soilchem/zhu.html 


---- Original message ----
>Date: Tue, 07 Apr 2009 22:17:21 +0200
>From: ifeffit-bounces at millenia.cars.aps.anl.gov (on behalf of Dominik Samuelis <d.samuelis at fkf.mpg.de>)
>Subject: Re: [Ifeffit] Linear combination fitting  
>To: XAFS Analysis using Ifeffit <ifeffit at millenia.cars.aps.anl.gov>
>
>Dear Guvenc,
>
>Shelly and Scott have already replied to this issue, and I fully agree  
>with their points. Nevertheless, I'd like to add some points, that  
>generally apply to linear component fits.
>
>The huge discrepancy between chi(k) and norm(E) fit very likely is an  
>indication that your data is not sufficiently described by your  
>standards. It might be that you're either using a standard component  
>that is not present in your system, or that you have not only two, but  
>three or more components in your system.
>
>There is a number of ways to check which one could be the case. Very  
>often it helps to fit the system without the restriction that the  
>weights of the standards must sum to one. That way, you effectively  
>allow for the determination of a residual component during the fit. If  
>your system is sufficiently described by the standards, the weights of  
>the standards should sum to a constant value close to unity. The  
>difference to unity basically gives the residual.
>
>If you have a non-negligible (or even concentration-dependent)  
>residual, PCA might help you to determine how many standard components  
>actually are required to fit the system. Be aware, though, that the  
>interpretation of PCA results is somewhat complicated. If PCA shows  
>that you need 4 linearly independent quantities to fully describe your  
>system, it doesn't necessarily mean that your system has 4 components.  
>Even temperature differences between scans might manifest as an  
>additional "component".
>
>Cheers,
>dominik
>
>
>Quoting Guvenc Akgul <gakgul at aps.anl.gov>:
>
>> Dear all,
>>
>> I have done Ti doped ZnO EXAFS data analysis but I guess it  is  
>> getting mixture structure at high concentration for example 55% Ti  
>> doped ZnO.Also I done linear combination fit , but at  fitting space  
>> norm(E),ZnO weight is 0.779 and ZnTiO3 is 0.221 then I changed  
>> fitting space is chi(k)  ZnO weight is getting 25.2 and ZnTiO3 is  
>> getting 74.8 and it is not same like at fitting space norm(E) why?
>>
>> regards
>>
>> guven
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>
>
>
>
>-- 
>Dr. Dominik Samuelis
>d.samuelis at fkf.mpg.de
>Max-Planck-Institut für Festkörperforschung
>Max Planck Institute for Solid State Research
>Heisenbergstr. 1
>70569 Stuttgart
>Germany
>Phone +49-711-689-1769
>Fax   +49-711-689-1722
>Web   http://www.fkf.mpg.de/maier/
>
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