Re: [Ifeffit] sigma^2 values for multiple scattering paths (Scott Calvin/Shelly Kelly/Abhijeet Gaur); Re: Ifeffit Digest, Vol 92, Issue 5

2010-10-07 Thread Han Sen Soo
Hello Shelly and Scott,
Thank you both again for your suggestions. It seems that after making the MS 
path more linear in my cif file, the FEFF calculation increased the amplitude 
value  of the path and dramatically increased the sigma^2 value in the fit. 
Strangely, the fit values for the distances remain pretty much the same and the 
statistical figures of merit have improved, but the sigma^2 values are now much 
more reasonable (about twice as large, but I have a more triangular than linear 
model, so you're right Scott, your explanation does not work for my case). I 
guess the increased amplitude made a difference?

Hello Abhijeet, I used a rudimentary geometrical way to get my bond angles. For 
a 3 atom triangle M-O-A, the effective MS path length (R_MOA) is twice the sum 
of the individual bond distances. So if you have the R_MOA, R_MO, and R_MA 
distances from your fits, you can use R_MOA - R_MO - R_MA to get the O-A bond 
length. And with the 3 sides of the triangle, you can use the geometrical 
Cosine Rule to get any of the 3 bond angles. This is just geometry so I don't 
know what the error propagation for this would be. 

Thanks again everyone!
han sen

On Oct 7, 2010, at 6:36 AM, ifeffit-requ...@millenia.cars.aps.anl.gov wrote:

 Send Ifeffit mailing list submissions to
   ifeffit@millenia.cars.aps.anl.gov
 
 To subscribe or unsubscribe via the World Wide Web, visit
   http://millenia.cars.aps.anl.gov/mailman/listinfo/ifeffit
 or, via email, send a message with subject or body 'help' to
   ifeffit-requ...@millenia.cars.aps.anl.gov
 
 You can reach the person managing the list at
   ifeffit-ow...@millenia.cars.aps.anl.gov
 
 When replying, please edit your Subject line so it is more specific
 than Re: Contents of Ifeffit digest...
 
 
 Today's Topics:
 
   1. Re: More than 256 paths on Mac OS 10.5? (Scott Calvin)
   2. Re: sigma^2 values for multiple scattering paths (Scott
  Calvin); Re: Ifeffit Digest, Vol 92, Issue 4 (Han Sen Soo)
   3. Re: sigma^2 values for multiple scattering paths (Scott
  Calvin); Re: Ifeffit Digest, Vol 92, Issue 4 (Scott Calvin)
   4. Multiple scattering paths in fitting (Abhijeet Gaur)
   5. schemes for delr and sigma2 for multiple scattering paths
  (Jatinkumar Rana)
   6. Re: Multiple scattering paths in fitting (Frenkel, Anatoly)
 
 
 --
 
 Message: 1
 Date: Wed, 6 Oct 2010 10:01:27 -0700
 From: Scott Calvin dr.scott.cal...@gmail.com
 To: XAFS Analysis using Ifeffit ifeffit@millenia.cars.aps.anl.gov
 Subject: Re: [Ifeffit] More than 256 paths on Mac OS 10.5?
 Message-ID: 6dd333d2-f58c-4e55-ab0d-430483ef9...@gmail.edu
 Content-Type: text/plain; charset=US-ASCII; format=flowed
 
 Thanks, Matt!
 
 --Scott Calvin
 Sarah Lawrence College
 
 On Oct 6, 2010, at 9:08 AM, Matt Newville wrote:
 
 Hi Scott,
 
 
 The attached zip file has dynamic libraries (and static program
 ifeffit) built with 1024 paths and feff files.  It contains the files
 
 lib/libifeffit.dylib
 lib/libifeffit.so
 bin/ifeffit
 
 The zip file should be unzipped under
 /Applications/iXAFS.app/Contents/Resources/local/
 to overwrite the above files.  You should be able to open the iXAFS
 Shell and type
 
  cd  /Applications/iXAFS.app/Contents/Resources/local/
  unzip ~/Downloads/iXAFS_1024paths.zip
  athena
 
 
 Athena and Artemis will automatically use the new dynamic library.
 
 
 
 
 --
 
 Message: 2
 Date: Wed, 6 Oct 2010 10:36:25 -0700
 From: Han Sen Soo hs...@lbl.gov
 To: ifeffit@millenia.cars.aps.anl.gov
 Subject: Re: [Ifeffit] sigma^2 values for multiple scattering paths
   (Scott  Calvin); Re: Ifeffit Digest, Vol 92, Issue 4
 Message-ID: bc995ec7-578e-4256-9d62-de5e73831...@lbl.gov
 Content-Type: text/plain; charset=us-ascii
 
 Hello Scott,
 Just to make sure I understand what you mean, are you saying that in your 3 
 atom system, the S1 and S2 atoms have relatively fixed locations but A may 
 have large vibrational amplitudes in the A-S1 and A-S2 directions? So the 
 round-trip 3 atom MS path has a small sigma^2 value since the variation in 
 the A-S1-S2-A path is dictated by the more or less fixed S1 and S2 end-points 
 (with minimal perpendicular contribution), whereas the 2 individual SS paths 
 have large sigma^2 value due to the large A-S vibrations?
 
 I tried setting the sigma^2 value to a reasonable number for the MS path and 
 it appears to increase the R factor slightly and tries to maximize the 
 floating degeneracy I set (with a restrain to be physically reasonable based 
 on my model). It does not look as good but at least it seems more plausible. 
 I will try out Shelly's suggestions to see if they work too. I guess what I 
 wanted to find out is whether the model I included is telling me that 
 something is terribly wrong.
 
 Thank you all again for your responses!
 han sen
 
 On Oct 6, 2010, at 10:00 AM, ifeffit-requ...@millenia.cars.aps.anl.gov wrote

Re: [Ifeffit] sigma^2 values for multiple scattering paths (Scott Calvin/Shelly Kelly/Abhijeet Gaur); Re: Ifeffit Digest, Vol 92, Issue 5

2010-10-07 Thread Scott Calvin
Not at all unusual, Han Sen. If you think about the EXAFS equation,  
you'll see that sigma^2 and amplitude primarily affect the amplitude  
of the signal, while distances affect the position of the peak in the  
Fourier transform (or equivalently, the spacing of peaks in chi(k)).  
So sigma^2 and amplitude can trade off without affecting distance- 
based aspects of the fit much.


That's why I suggested you try forcing the sigma^2 to a reasonable  
value to see what happened to your fit. Sometimes none of the aspects  
of the fit you're interested in depend strongly on the sigma^2 of low- 
amplitude paths--particularly if what you're interest in is distances  
or information that is in part derived from distances, like phase  
identification. In those cases, the anomalous sigma^2 can be a yellow  
flag (think about what might be causing it and decide if it's a  
problem to your scientific case) rather than a red flag (drop  
everything and resolve the problem before proceeding).


Also, note from the EXAFS equation that sigma^2 is weighted by k^2,  
and amplitude is not. If fits using different k-weights result in  
significantly different values of sigma^2, that can be a clue that the  
issue is actually one of amplitude, as in your case.


At any rate, I'm glad you solved your issue in such a satisfying way!

--Scott Calvin
Sarah Lawrence College

On Oct 7, 2010, at 11:22 AM, Han Sen Soo wrote:


Hello Shelly and Scott,
Thank you both again for your suggestions. It seems that after  
making the MS path more linear in my cif file, the FEFF calculation  
increased the amplitude value  of the path and dramatically  
increased the sigma^2 value in the fit. Strangely, the fit values  
for the distances remain pretty much the same and the statistical  
figures of merit have improved, but the sigma^2 values are now much  
more reasonable (about twice as large, but I have a more triangular  
than linear model, so you're right Scott, your explanation does not  
work for my case). I guess the increased amplitude made a difference?


Hello Abhijeet, I used a rudimentary geometrical way to get my bond  
angles. For a 3 atom triangle M-O-A, the effective MS path length  
(R_MOA) is twice the sum of the individual bond distances. So if you  
have the R_MOA, R_MO, and R_MA distances from your fits, you can use  
R_MOA - R_MO - R_MA to get the O-A bond length. And with the 3 sides  
of the triangle, you can use the geometrical Cosine Rule to get any  
of the 3 bond angles. This is just geometry so I don't know what the  
error propagation for this would be.


Thanks again everyone!
han sen


___
Ifeffit mailing list
Ifeffit@millenia.cars.aps.anl.gov
http://millenia.cars.aps.anl.gov/mailman/listinfo/ifeffit


Re: [Ifeffit] sigma^2 values for multiple scattering paths

2010-10-06 Thread Shelly Kelly
Hi Han Sen:

I agree that the small sigma2 values for the MS paths is suspect. The
data is saying that it wants more amplitude from these paths than is
physically possible. One way to increase the amplitude of the paths is
to make the scattering angle closer to 180deg for a linear path.  It
is a bit tedious to edit the feffit input file to get that to run, but
can be done with a bit of geometry.

This will not work for a triangle MS path. In that case I would look
for additional contribution from other MS or SS paths at the same
distance.

Another way to force sigma2 to be larger would be to use a Debye or
Einstein Model to model both the SS and MS path.  That will make
sigma2 for both of them at least reasonable. Although the fit will not
be as perfect.

HTH,
Shelly

On Wed, Oct 6, 2010 at 12:26 AM, Han Sen Soo hs...@lbl.gov wrote:
 Hello,
 I briefly read through the FAQ about this but I'm not sure if it answers my 
 question. Are there situations where the sigma^2 for a multiple scattering 
 path can be smaller than the direct paths? So small that they're on the order 
 of 0.001-0.003 for a degeneracy of 12 such paths?
 I'm working on a fitting model that does not work well with additional shells 
 but it looks almost perfect with a multiple scattering path included. I'm 
 skeptical however, because of the small sigma^2 values. I am also not 
 discounting the fact that the data quality may be poor. But I would 
 appreciate any physical reasons for small sigma^2 values. Thanks!
 han sen
 ___
 Ifeffit mailing list
 Ifeffit@millenia.cars.aps.anl.gov
 http://millenia.cars.aps.anl.gov/mailman/listinfo/ifeffit


___
Ifeffit mailing list
Ifeffit@millenia.cars.aps.anl.gov
http://millenia.cars.aps.anl.gov/mailman/listinfo/ifeffit


Re: [Ifeffit] sigma^2 values for multiple scattering paths

2010-10-06 Thread Bruce Ravel
On Wednesday 06 October 2010 01:26:55 am Han Sen Soo wrote:
 Hello,
 I briefly read through the FAQ about this but I'm not sure if it answers my
  question. Are there situations where the sigma^2 for a multiple scattering
  path can be smaller than the direct paths? So small that they're on the
  order of 0.001-0.003 for a degeneracy of 12 such paths? I'm working on a
  fitting model that does not work well with additional shells but it looks
  almost perfect with a multiple scattering path included. I'm skeptical
  however, because of the small sigma^2 values. I am also not discounting
  the fact that the data quality may be poor. But I would appreciate any
  physical reasons for small sigma^2 values. Thanks! han sen

Han Sen,

It is always useful to remember the physical meanings of the
parameters use in the EXAFS equation.  sigma^2 is a mean square
variation in the distance between the absorber and a scatterer.

Suppose we have this configuration:

  X--O--Y

that is, absorber X, scatterer Y and a colinear O atom in between.

The path length for the path X-Y-X is the same as for X-O-Y-X and for
X-O-Y-O-X.  If we just consider thermal motion of the atoms along that
axis, then the mean square variation in paths lengths for those three
paths must also me the same.  That's neither deep nor complicated --
its just geometry.  

The argument in the last paragraph neglected the prospect of the O
atom experiencing thermal motion perpendicular to that axis.  That
effect means that 

   sigma^2(X-O-Y-O-X)  sigma^2(X-O-Y-X)  sigma^2(X-Y-X)

A common approximation made in data analysis is that this perpendiular
effect is small compared to the uncertainties in sigma^2 and so those
three sigma^2 values are constrained to be the same.

In no case can I understand a physical explanation for the the MS
sigma^2 being smaller than for the SS.

That said, you have a fit and a result.  When you float the MS sigma^2
it comes out smaller.  I would suggest that is telling you something
about the fitting problem rather than something about the physics of
the atomic configuration.

A smaller sigma^2 means that the contribution from those paths is
being enhanced.  That might be due to a correlation with an amplitude
parameter.  It might be due to a data quality problem.  It might be
due to a mistake in the implementation of your fitting model.

This sort of thing happens all the time.  I frequently analyze data
and come up with a curious, unphysical result like this.  It hasn't
yet meant that I have discovered some wonderous new physics.  Very
occassionally, it means that I have uncovered a shortcoming in Feff,
but that is exceedingly rare.  Usually it means that I have a problem
with my data or I have made a mistake filling in all the boxes in
Artemis.  

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/
___
Ifeffit mailing list
Ifeffit@millenia.cars.aps.anl.gov
http://millenia.cars.aps.anl.gov/mailman/listinfo/ifeffit


Re: [Ifeffit] sigma^2 values for multiple scattering paths (Shelly Kelly/Bruce Ravel); Re: Ifeffit Digest, Vol 92, Issue 2

2010-10-06 Thread Han Sen Soo
 
 
 -- next part --
 An HTML attachment was scrubbed...
 URL: 
 http://millenia.cars.aps.anl.gov/pipermail/ifeffit/attachments/20101001/57efe1e3/attachment-0001.htm
 
 --
 
 ___
 Ifeffit mailing list
 Ifeffit@millenia.cars.aps.anl.gov
 http://millenia.cars.aps.anl.gov/mailman/listinfo/ifeffit
 
 
 End of Ifeffit Digest, Vol 92, Issue 1
 **
 
 t
 
 
 
 -- next part --
 An HTML attachment was scrubbed...
 URL: 
 http://millenia.cars.aps.anl.gov/pipermail/ifeffit/attachments/20101005/e01e3861/attachment-0001.htm
 
 --
 
 Message: 2
 Date: Tue, 5 Oct 2010 22:26:55 -0700
 From: Han Sen Soo hs...@lbl.gov
 To: ifeffit@millenia.cars.aps.anl.gov
 Subject: [Ifeffit] sigma^2 values for multiple scattering paths
 Message-ID: c2181cec-4451-47db-b5d4-1926c3212...@lbl.gov
 Content-Type: text/plain; charset=us-ascii
 
 Hello,
 I briefly read through the FAQ about this but I'm not sure if it answers my 
 question. Are there situations where the sigma^2 for a multiple scattering 
 path can be smaller than the direct paths? So small that they're on the order 
 of 0.001-0.003 for a degeneracy of 12 such paths?
 I'm working on a fitting model that does not work well with additional shells 
 but it looks almost perfect with a multiple scattering path included. I'm 
 skeptical however, because of the small sigma^2 values. I am also not 
 discounting the fact that the data quality may be poor. But I would 
 appreciate any physical reasons for small sigma^2 values. Thanks!
 han sen
 
 
 --
 
 Message: 3
 Date: Tue, 5 Oct 2010 17:28:02 -0700
 From: Scott Calvin dr.scott.cal...@gmail.com
 To: XAFS Analysis using Ifeffit ifeffit@millenia.cars.aps.anl.gov
 Subject: [Ifeffit] More than 256 paths on Mac OS 10.5?
 Message-ID: e766085e-4695-44cd-a548-9b2b62da7...@gmail.edu
 Content-Type: text/plain; charset=US-ASCII; format=flowed; delsp=yes
 
 Hi all,
 
 Do any of you have a version of Ifeffit compiled for Mac OS 10.5 that  
 allows more than 256 paths?
 
 --Scott Calvin
 Sarah Lawrence College
 
 
 --
 
 Message: 4
 Date: Wed, 6 Oct 2010 09:02:21 -0500
 From: Shelly Kelly dr.sdke...@gmail.com
 To: XAFS Analysis using Ifeffit ifeffit@millenia.cars.aps.anl.gov
 Subject: Re: [Ifeffit] sigma^2 values for multiple scattering paths
 Message-ID:
   aanlktimtgeazknmeydzopnkihh0cax5gitjryxbyc...@mail.gmail.com
 Content-Type: text/plain; charset=ISO-8859-1
 
 Hi Han Sen:
 
 I agree that the small sigma2 values for the MS paths is suspect. The
 data is saying that it wants more amplitude from these paths than is
 physically possible. One way to increase the amplitude of the paths is
 to make the scattering angle closer to 180deg for a linear path.  It
 is a bit tedious to edit the feffit input file to get that to run, but
 can be done with a bit of geometry.
 
 This will not work for a triangle MS path. In that case I would look
 for additional contribution from other MS or SS paths at the same
 distance.
 
 Another way to force sigma2 to be larger would be to use a Debye or
 Einstein Model to model both the SS and MS path.  That will make
 sigma2 for both of them at least reasonable. Although the fit will not
 be as perfect.
 
 HTH,
 Shelly
 
 On Wed, Oct 6, 2010 at 12:26 AM, Han Sen Soo hs...@lbl.gov wrote:
 Hello,
 I briefly read through the FAQ about this but I'm not sure if it answers my 
 question. Are there situations where the sigma^2 for a multiple scattering 
 path can be smaller than the direct paths? So small that they're on the 
 order of 0.001-0.003 for a degeneracy of 12 such paths?
 I'm working on a fitting model that does not work well with additional 
 shells but it looks almost perfect with a multiple scattering path included. 
 I'm skeptical however, because of the small sigma^2 values. I am also not 
 discounting the fact that the data quality may be poor. But I would 
 appreciate any physical reasons for small sigma^2 values. Thanks!
 han sen
 ___
 Ifeffit mailing list
 Ifeffit@millenia.cars.aps.anl.gov
 http://millenia.cars.aps.anl.gov/mailman/listinfo/ifeffit
 
 
 
 
 --
 
 Message: 5
 Date: Wed, 6 Oct 2010 10:02:24 -0400
 From: Bruce Ravel bra...@bnl.gov
 To: XAFS Analysis using Ifeffit ifeffit@millenia.cars.aps.anl.gov
 Subject: Re: [Ifeffit] sigma^2 values for multiple scattering paths
 Message-ID: 201010061002.24587.bra...@bnl.gov
 Content-Type: Text/Plain;  charset=iso-8859-1
 
 On Wednesday 06 October 2010 01:26:55 am Han Sen Soo wrote:
 Hello,
 I briefly read through the FAQ about this but I'm not sure if it answers my
 question. Are there situations where the sigma^2 for a multiple scattering
 path can be smaller than the direct paths? So small that they're on the
 order of 0.001-0.003 for a degeneracy of 12 such paths

Re: [Ifeffit] sigma^2 values for multiple scattering paths

2010-10-06 Thread Scott Calvin
Although I agree with the main points that Bruce makes, I do want to  
comment on one piece:


On Oct 6, 2010, at 7:03 AM, Bruce Ravel wrote:


.

In no case can I understand a physical explanation for the the MS
sigma^2 being smaller than for the SS.


Actually, there is a physical situation where something like that can  
occur, although it sounds like it's not the one that Han Sen has.


Consider an absorbing atom rattling around in a relatively fixed cage  
or lattice. And then consider a linear (or near-linear) arrangement:


S1 -- A -- S2

One multiple scattering path that can sometimes have a sizable  
contribution is A -- S1 -- S2 -- A. This path will have a sigma^2  
that is a bit larger than the single-scattering path S1 -- S2 -- S1,  
because of the perpendicular component of the motion of A.


But it's quite frequently the case that S1 -- S2 -- S1 is not  
modeled in a fit, because the S edge is not measured.


On the other hand, the single scattering paths A -- S1 -- A and A -- 
 S2 -- A ARE included in the fit. Those two have high sigma^2's,  
because A is rattling around a lot.


Under that circumstance, a multiple-scattering path included in the  
fit may indeed have a lower sigma^2 than the single-scattering paths  
included in the fit.


The moral, of course, is that it's not hard to think physically about  
what sigma^2 means for a multiple scattering path. If one appears to  
have an unphysically small sigma2, then the explanation is probably  
one of the ones given by Bruce or Shelly.


One more thought on this. How much does it change your fit, Han Sen,  
if you set the sigma^2 for the multiple-scattering path to some  
reasonable value. If the scientific information you want from your  
fit is not sensitive to exactly what sigma^2 the MS path gets, and is  
not significantly different when given a reasonable value than when  
allowed to find its best-fit value, then there's probably no need to  
resolve the issue. In my experience, this is often the case with low- 
amplitude MS paths: the fit is improved by their inclusion, but may  
not be particularly sensitive to the details of their path parameters.


--Scott Calvin
Sarah Lawrence College
___
Ifeffit mailing list
Ifeffit@millenia.cars.aps.anl.gov
http://millenia.cars.aps.anl.gov/mailman/listinfo/ifeffit


Re: [Ifeffit] sigma^2 values for multiple scattering paths (Scott Calvin); Re: Ifeffit Digest, Vol 92, Issue 4

2010-10-06 Thread Han Sen Soo
Hello Scott,
Just to make sure I understand what you mean, are you saying that in your 3 
atom system, the S1 and S2 atoms have relatively fixed locations but A may have 
large vibrational amplitudes in the A-S1 and A-S2 directions? So the round-trip 
3 atom MS path has a small sigma^2 value since the variation in the A-S1-S2-A 
path is dictated by the more or less fixed S1 and S2 end-points (with minimal 
perpendicular contribution), whereas the 2 individual SS paths have large 
sigma^2 value due to the large A-S vibrations?

I tried setting the sigma^2 value to a reasonable number for the MS path and it 
appears to increase the R factor slightly and tries to maximize the floating 
degeneracy I set (with a restrain to be physically reasonable based on my 
model). It does not look as good but at least it seems more plausible. I will 
try out Shelly's suggestions to see if they work too. I guess what I wanted to 
find out is whether the model I included is telling me that something is 
terribly wrong.

Thank you all again for your responses!
han sen

On Oct 6, 2010, at 10:00 AM, ifeffit-requ...@millenia.cars.aps.anl.gov wrote:

 Send Ifeffit mailing list submissions to
   ifeffit@millenia.cars.aps.anl.gov
 
 To subscribe or unsubscribe via the World Wide Web, visit
   http://millenia.cars.aps.anl.gov/mailman/listinfo/ifeffit
 or, via email, send a message with subject or body 'help' to
   ifeffit-requ...@millenia.cars.aps.anl.gov
 
 You can reach the person managing the list at
   ifeffit-ow...@millenia.cars.aps.anl.gov
 
 When replying, please edit your Subject line so it is more specific
 than Re: Contents of Ifeffit digest...
 
 
 Today's Topics:
 
   1. Re: sigma^2 values for multiple scattering paths (Scott Calvin)
 
 
 --
 
 Message: 1
 Date: Wed, 6 Oct 2010 09:39:49 -0700
 From: Scott Calvin dr.scott.cal...@gmail.com
 To: XAFS Analysis using Ifeffit ifeffit@millenia.cars.aps.anl.gov
 Cc: dr.scott.cal...@gmail.com dr.scott.cal...@gmail.com
 Subject: Re: [Ifeffit] sigma^2 values for multiple scattering paths
 Message-ID: ab39966c-893d-4947-bed2-a26fc6534...@gmail.edu
 Content-Type: text/plain; charset=US-ASCII; format=flowed; delsp=yes
 
 Although I agree with the main points that Bruce makes, I do want to  
 comment on one piece:
 
 On Oct 6, 2010, at 7:03 AM, Bruce Ravel wrote:
 
 .
 
 In no case can I understand a physical explanation for the the MS
 sigma^2 being smaller than for the SS.
 
 Actually, there is a physical situation where something like that can  
 occur, although it sounds like it's not the one that Han Sen has.
 
 Consider an absorbing atom rattling around in a relatively fixed cage  
 or lattice. And then consider a linear (or near-linear) arrangement:
 
 S1 -- A -- S2
 
 One multiple scattering path that can sometimes have a sizable  
 contribution is A -- S1 -- S2 -- A. This path will have a sigma^2  
 that is a bit larger than the single-scattering path S1 -- S2 -- S1,  
 because of the perpendicular component of the motion of A.
 
 But it's quite frequently the case that S1 -- S2 -- S1 is not  
 modeled in a fit, because the S edge is not measured.
 
 On the other hand, the single scattering paths A -- S1 -- A and A -- 
 S2 -- A ARE included in the fit. Those two have high sigma^2's,  
 because A is rattling around a lot.
 
 Under that circumstance, a multiple-scattering path included in the  
 fit may indeed have a lower sigma^2 than the single-scattering paths  
 included in the fit.
 
 The moral, of course, is that it's not hard to think physically about  
 what sigma^2 means for a multiple scattering path. If one appears to  
 have an unphysically small sigma2, then the explanation is probably  
 one of the ones given by Bruce or Shelly.
 
 One more thought on this. How much does it change your fit, Han Sen,  
 if you set the sigma^2 for the multiple-scattering path to some  
 reasonable value. If the scientific information you want from your  
 fit is not sensitive to exactly what sigma^2 the MS path gets, and is  
 not significantly different when given a reasonable value than when  
 allowed to find its best-fit value, then there's probably no need to  
 resolve the issue. In my experience, this is often the case with low- 
 amplitude MS paths: the fit is improved by their inclusion, but may  
 not be particularly sensitive to the details of their path parameters.
 
 --Scott Calvin
 Sarah Lawrence College
 
 
 --
 
 ___
 Ifeffit mailing list
 Ifeffit@millenia.cars.aps.anl.gov
 http://millenia.cars.aps.anl.gov/mailman/listinfo/ifeffit
 
 
 End of Ifeffit Digest, Vol 92, Issue 4
 **


___
Ifeffit mailing list
Ifeffit@millenia.cars.aps.anl.gov
http://millenia.cars.aps.anl.gov/mailman/listinfo/ifeffit


Re: [Ifeffit] sigma^2 values for multiple scattering paths (Scott Calvin); Re: Ifeffit Digest, Vol 92, Issue 4

2010-10-06 Thread Scott Calvin


On Oct 6, 2010, at 10:41 AM, Han Sen Soo wrote:


Hello Scott,
Just to make sure I understand what you mean, are you saying that in  
your 3 atom system, the S1 and S2 atoms have relatively fixed  
locations but A may have large vibrational amplitudes in the A-S1  
and A-S2 directions? So the round-trip 3 atom MS path has a small  
sigma^2 value since the variation in the A-S1-S2-A path is dictated  
by the more or less fixed S1 and S2 end-points (with minimal  
perpendicular contribution), whereas the 2 individual SS paths have  
large sigma^2 value due to the large A-S vibrations?




Yes--you explained it far better than I did. :)

--Scott Calvin
Sarah Lawrence College

___
Ifeffit mailing list
Ifeffit@millenia.cars.aps.anl.gov
http://millenia.cars.aps.anl.gov/mailman/listinfo/ifeffit