Re: [Ifeffit] can sigma square ever be less than zero?

2010-06-28 Thread Matt Newville
Hi Chris,

On Mon, Jun 28, 2010 at 3:10 PM, Chris Patridge  wrote:
> Hello all,
>
> I am working on W L3 edge data.  W is acting as a substitution dopant in
> vanadium dioxide at rather low concentration.  In a past mailing
> conversation discussing Feff6 overestimation of E0 for heavier elements it
> was mentioned that the E0 could be past the rising edge due to the white
> line from W data.  Well using this comment I aligned data using the theory
> method well explained by Shelly Kelly SnO2 example.  Literature suggests W
> approximates WO2 cubic structure locally instead of the VO2 unit structure.
>  Then fitting the first oxygen coordination shell paths which are well
> isolated from the other paths, it gives reasonable values for amplitude and
> enot of 0.77 (0.17) and -1.14 (3.06) respectively.  delr is -0.067 (0.028)
> and then ss comes out to -0.00036 (0.00414).  Can ss be negative if the
> uncertainty brings it above 0?

Well, this sigma^2 is not *very* negative, is it?  By itself, that
might be an OK place to start as an initial fit.  But I would probably
take the combined results of sigma^2 being approximately zero (never
mind it being slightly negative) and delr being far from zero (-0.07
+/- 0.03) as a suggestion that the starting model is not really the
story the data wants to tell you.

My understanding is that tungsten oxides can be challenging to model.
See Moscovici et al J Chem Phys 125, 124505 (2006), for a discussion
of what can go wrong. That paper does focus on trivalent tungsten, but
it might give useful pointers.

--Matt
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Re: [Ifeffit] can sigma square ever be less than zero?

2010-06-28 Thread Bruce Ravel
On Monday 28 June 2010 04:10:12 pm Chris Patridge wrote:
> Hello all,
> 
> I am working on W L3 edge data.  W is acting as a substitution dopant in
> vanadium dioxide at rather low concentration.  In a past mailing
> conversation discussing Feff6 overestimation of E0 for heavier elements
> it was mentioned that the E0 could be past the rising edge due to the
> white line from W data.  Well using this comment I aligned data using
> the theory method well explained by Shelly Kelly SnO2 example.
> Literature suggests W approximates WO2 cubic structure locally instead
> of the VO2 unit structure.  Then fitting the first oxygen coordination
> shell paths which are well isolated from the other paths, it gives
> reasonable values for amplitude and enot of 0.77 (0.17) and -1.14 (3.06)
> respectively.  delr is -0.067 (0.028) and then ss comes out to -0.00036
> (0.00414).  Can ss be negative if the uncertainty brings it above 0?

In a numerical sense -- the sense in which the covarience matrix of
the fit is evaluated -- there is no problem at all with a negative
sigma squared.  In that case, a negative value is what was required to
find the best fit, in the numerical sense.

Of course, this just emphasizes a point often repeated on this mailing
list.  A fit requires a human to make an interpretation.  In a
physical sense, sigma^2 cannot be negative.  Just look at it -- it is
the square of soemthing!  sigma is a real-valued quantity, the square
of a real number cannot be negative.

So, how should we interpret a fit that gives a negative sigma^2?
Well, you have to think about what sigma^2 is correlated with.  It is
certainly correlated with amplitude.  If the amplitude is much too
small for some reason (say, because you, for some reason, fixed N*S02
to some value that is too small), then the fit will have to make
sigma^2 smaller to compensate.

But the negative sigma^2 might also be telling you something about the
amount of disroder in the strutucral model you used in your Feff
calculation.  You might use some crystallography as the starting point
for the Feff calculation and that crystallography might result in a
very disrodered shell.  Well, if the local structure is much less
disordered than that but you retain that amount of structural disorder
by using all those slightly different paths, then the fit has to
somehow compensate for the excess structural disorder in the fitting
model.  It may do so by making sigma^2 really small, even negative.

So, in general a negative sigma^2 is probably trying to tell you
something about the assumptions that went into your fit.  A negative
sigma^2 is unphysical, so a defensible interpretation of the fitting
result cannot include a negative sigma^2.  However, obtaining such a
thing at some point during the analysis might be a useful hint about
how to modify your fitting model.

HTH,
B



-- 

 Bruce Ravel   bra...@bnl.gov

 National Institute of Standards and Technology
 Synchrotron Methods Group at NSLS --- Beamlines U7A, X24A, X23A2
 Building 535A
 Upton NY, 11973

 My homepage:http://xafs.org/BruceRavel
 EXAFS software: http://cars9.uchicago.edu/~ravel/software/exafs/
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Re: [Ifeffit] can sigma square ever be less than zero?

2010-06-28 Thread Scott Calvin

Hi Chris,

Not to be picky, but I think we have to consider the semantics of what  
you're asking very carefully.


"Can ss be negative," as in, can the physical quantity which is the  
variance in the absorber-scatterer distance be negative? No, since  
variances are the square of a real number.


"Can ss be negative," as in, can ifeffit output a negative best-fit  
value for ss? Yes, as you've seen.


"Can ss be negative," as in, can a fit with a negative best-fit value  
for ss be considered a valid fit? That's really what you're asking, I  
think, and the answer is that it could be, depending on what you are  
trying to claim. Since the uncertainty in your case is quite large,  
it's certainly possible that your fit is consistent with believable  
values. But it also means that your fit gives you very little idea of  
what ss should actually be. The twin facts that the uncertainty is  
large and that the best-fit value is very close to 0 make the fit less  
convincing.


The simplest explanation in your case is that Ifeffit is finding a fit  
with an S02 and a ss that are both a bit low. Since they tend to  
correlate highly, that's not uncommon. Have you tried fitting using  
different k-weights, or, better yet, several k-weights simultaneously?


At any rate, I'd say your fit is a promising preliminary fit. As far  
as a publication-quality fit, it would be nice to get the nearest- 
neighbor ss pinned down a bit better.


--Scott Calvin
Sarah Lawrence College

On Jun 28, 2010, at 4:10 PM, Chris Patridge wrote:


Hello all,

I am working on W L3 edge data.  W is acting as a substitution  
dopant in vanadium dioxide at rather low concentration.  In a past  
mailing conversation discussing Feff6 overestimation of E0 for  
heavier elements it was mentioned that the E0 could be past the  
rising edge due to the white line from W data.  Well using this  
comment I aligned data using the theory method well explained by  
Shelly Kelly SnO2 example.  Literature suggests W approximates WO2  
cubic structure locally instead of the VO2 unit structure.  Then  
fitting the first oxygen coordination shell paths which are well  
isolated from the other paths, it gives reasonable values for  
amplitude and enot of 0.77 (0.17) and -1.14 (3.06) respectively.   
delr is -0.067 (0.028) and then ss comes out to -0.00036 (0.00414).   
Can ss be negative if the uncertainty brings it above 0?


Thank you all,

Chris Patridge
PhD Candidate
Department of Chemistry NSC 405
SUNY Buffalo
315-529-0501
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[Ifeffit] can sigma square ever be less than zero?

2010-06-28 Thread Chris Patridge

Hello all,

I am working on W L3 edge data.  W is acting as a substitution dopant in 
vanadium dioxide at rather low concentration.  In a past mailing 
conversation discussing Feff6 overestimation of E0 for heavier elements 
it was mentioned that the E0 could be past the rising edge due to the 
white line from W data.  Well using this comment I aligned data using 
the theory method well explained by Shelly Kelly SnO2 example.  
Literature suggests W approximates WO2 cubic structure locally instead 
of the VO2 unit structure.  Then fitting the first oxygen coordination 
shell paths which are well isolated from the other paths, it gives 
reasonable values for amplitude and enot of 0.77 (0.17) and -1.14 (3.06) 
respectively.  delr is -0.067 (0.028) and then ss comes out to -0.00036 
(0.00414).  Can ss be negative if the uncertainty brings it above 0?


Thank you all,

Chris Patridge
PhD Candidate
Department of Chemistry NSC 405
SUNY Buffalo
315-529-0501
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[Ifeffit] Postdoctoral position open

2010-06-28 Thread Mukerjee, Sanjeev
Dear Members,
I have an opening for a postdoctoral position in my research group and center 
starting in August of 2010. The position will be for two years with renewal 
option at the end of the first.  Qualification for this position is a recent 
Ph.D in physics or chemistry in the field related to synchrotron spectroscopy.  
Most important would be to have good experience conducting in situ x-ray 
absorption studies including EXAFS data analysis.  We will train the person on 
other more specific aspects of the spectroscopy as conducted by the research 
group.  Proficiency in basic electrochemistry including classical methods are a 
must.
Please apply with resume and one or two key publications to me personally as 
soon as possible.
We promise a very vibrant research environment and opportunity to develop a 
portfolio for future career options such as academic positions.  This includes 
training in proposal writing and teaching graduate level courses.
In addition this position carries competitive salary and benefits.
Sincerely

Sanjeev Mukerjee (Professor)
Department of Chemistry and Chemical Biology
Director of the Northeastern University Center for Renewable Energy Technology 
(NUCRET)
Northeastern University, 360 Huntington Avenue, Boston, MA 02115
Phone (617) 373 2382
Fax (617) 373 8949
URL: www.northeastern.edu/nucret
www.northeastern.edu/leap

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