[Ifeffit] Fitting Commercial Molybdenum Disulfide

Michael A Groves dingoboy at u.washington.edu
Thu Nov 4 14:29:09 CST 2004


Dan,

I too have had problems with positive sigma-squared values.  I think it may 
indicate a deeper problem with your fit.  Two things I can see that might be 
causing it are:
1.  How did you come up with the value for amp (0.7)  If your amp is too small, 
your debye-waller factors get smaller, and sometimes even become negative to 
compensate.  One way to check this is fitting in different k-weights.  If your 
ss variables stay relatively constant at different k-weights, your amp value is 
probably not the problem.  If they change much, you might look at 
http://leonardo.phys.washington.edu/~ravel/course/notes.pdf
page 37.
2.  How about background subtraction?  I don't know if Mo has a large white 
line, but if it does, k=2 is probably too close to the edge for the background 
subtraction to be trusted.  Trying a larger k will get you away from the range 
where the background subtraction is questionable. 

Good luck,
Mike 

On Thu, 4 Nov 2004, Kelly, Shelly D. wrote:

> Hi Dan,
> 
> Sigma2 can not be negative.  It is the mean square displacement of the
> half path length.  You can force it to be positive by using abs(ss) on
> the definition page for each path in the fit.
> 
> 
> Shelly
> 
>> -----Original Message-----
>> From: dmc at pdx.edu [mailto:dmc at pdx.edu]
>> Sent: Thursday, November 04, 2004 10:19 AM
>> To: XAFS Analysis using Ifeffit
>> Subject: Re: [Ifeffit] Fitting Commercial Molybdenum Disulfide
>> 
>> Hi List,
>> 
>>      Here's my most recent data.  I was able to look at the individual
>> paths
>> and changed my R-range to 2-4.5 angstroms on the first set of data, I
> set
>> the
>> second set of data to the same range, although 4 works better as a
> maximum
>> for
>> that set.  The k-range on the second range had to be truncated though.
>> 
>> Six paths are used for each fit, same parameters, except for amp (0.7
> for
>> one
>> ~0.8 for the other).  The seperate data sets still have a few
> parameters
>> that
>> are outside of the error bars of the other (ss2,ss3,ss4,alpha,
>> alpha2,alpha5).
>> What can I do to get these beamlines to agree?
>> 
>> delr_#   define    alpha# * reff
>> all other parameters guessed.
>> ss for each path, only one e0 for all
>> 
>>        Thanks for the help, Dan
>> 
>> 
>> First Data set -- Full k-range works best, Full range used for fit.
>> Project title :  Fitting merge 10_15_04.chi
>> 
>> Guess parameters +/- uncertainties  (initial guess):
>>   e0   =     0.8686930   +/-    1.1038290    (guessed as 0.868694
>> (1.103841))
>>   ss   =    0.0041150   +/-     0.0004990    (guessed as 0.004115
>> (0.000499))
>>   ss2  =   0.0044360   +/-      0.0004450    (guessed as 0.004436
>> (0.000445))
>>   ss3  =    0.0243560   +/-     0.0201400    (guessed as 0.024368
>> (0.020159))
>>   ss4  =   -0.0065470   +/-     0.0047820    (guessed as -0.006545
>> (0.004786))
>>   ss5   =    -0.0016100   +/-   0.0050490    (guessed as -0.001611
>> (0.005047))
>>   ss6   =    0.0059980   +/-      0.0139390    (guessed as 0.005996
>> (0.013935))
>>   alpha =   -0.0011360   +/-      0.0029380    (guessed as -0.001136
>> (0.002938))
>>   alpha2 =    0.0071480   +/-     0.0019780    (guessed as 0.007148
>> (0.001978))
>>   alpha3 =    -0.0060900   +/-    0.0273580    (guessed as -0.006078
>> (0.027378))
>>   alpha4  =   -0.0198570   +/-    0.0154200    (guessed as -0.019851
>> (0.015430))
>>   alpha5  =    0.1399050   +/-     0.0148530    (guessed as 0.139906
>> (0.014848))
>>   alpha6  =    0.0199630   +/-     0.0268690    (guessed as 0.019961
>> (0.026862))
>> 
>> Def parameters:
>>   delr_1          =    -0.0051820
>>   delr_2          =     0.0326180
>>   delr_3          =    -0.0277930
>>   delr_4          =    -0.0906110
>>   delr_5          =     0.6384270
>>   delr_6          =     0.0910950
>> 
>> Set parameters:
>>   amp1            =  .7
>> 
>> 
>> Correlations between variables:
>>           e0 and alpha      -->  0.8170
>>           e0 and alpha2     -->  0.6726
>>           ss and ss2        -->  0.6591
>>        alpha and alpha2     -->  0.5516
>>       alpha5 and alpha6     --> -0.4856
>>           e0 and alpha3     -->  0.4083
>>       alpha3 and alpha4     -->  0.3588
>>          ss5 and ss6        --> -0.3581
>>        alpha and alpha3     -->  0.3100
>>       alpha2 and alpha3     -->  0.3045
>>          ss2 and alpha6     -->  0.2745
>>           e0 and ss3        -->  0.2649
>>           ss and ss3        -->  0.2627
>>          ss2 and ss3        -->  0.2626
>>          ss6 and alpha5     --> -0.2510
>> All other correlations are below 0.25
>> 
>> 
>> 
>> 
>> 
>> 
>> 
>> 
>> 
>> 
>> 
>> Second Data Set -- Trucated k-range (2-13.5)
>> Project title :  Fitting merge 10_15_04.chi
>> 
>> Independent points          =      25.270507813
>> Number of variables         =      14.000000000
>> Chi-square                  =    1202.598221935
>> Reduced Chi-square          =     106.703108852
>> R-factor                    =       0.057229121
>> Measurement uncertainty (k) =       0.000827712
>> Measurement uncertainty (R) =       0.022111003
>> Number of data sets         =       1.000000000
>> 
>> 
>> Guess parameters +/- uncertainties  (initial guess):
>>   amp  =   0.7976070   +/-   0.1361170    (guessed as 0.776348
> (0.139898))
>>   ss   =    0.0037770   +/-    0.0015530    (guessed as 0.003589
>> (0.001617))
>>   e0   =    0.5608430   +/-    1.8018380    (guessed as 0.642687
>> (1.861307))
>>   alpha  =  -0.0061290   +/-   0.0049080    (guessed as -0.005966
>> (0.005078))
>>   ss2   =   0.0029050   +/-    0.0009970    (guessed as 0.002686
>> (0.001078))
>>   ss3  =    0.0075410   +/-   0.0094220    (guessed as 0.005992
>> (0.008858))
>>   ss4  =   -0.0110250   +/-   0.0035850    (guessed as -0.011776
>> (0.004653))
>>   ss5  =   -0.0042000   +/-   0.0078070    (guessed as -0.007610
>> (0.005250))
>>   alpha2 =  0.0038110   +/-   0.0030450    (guessed as 0.003762
>> (0.003187))
>>   alpha3  = -0.0037820   +/-  0.0145580    (guessed as 0.001200
>> (0.015976))
>>   alpha4  =  -0.0212550   +/-   0.0107080    (guessed as -0.011852
>> (0.014417))
>>   alpha5  =   0.1151980   +/-   0.0236640    (guessed as 0.113430
>> (0.014973))
>>   ss6  =   0.0028560   +/-     0.0166050    (guessed as -0.007250
>> (0.003624))
>>   alpha6  =  0.0193530   +/-    0.0299640    (guessed as 0.001791
>> (0.008195))
>> 
>> Def parameters:
>>   delr_1          =    -0.0279670
>>   delr_2          =     0.0173920
>>   delr_3          =    -0.0172570
>>   delr_4          =    -0.0969910
>>   delr_5          =     0.5256830
>>   delr_6          =     0.0883130
>> 
>> 
>> Correlations between variables:
>>          amp and ss         -->  0.8382
>>           e0 and alpha      -->  0.8048
>>          amp and ss2        -->  0.7964
>>           e0 and alpha2     -->  0.7533
>>          ss3 and alpha5     -->  0.7397
>>          ss5 and alpha4     --> -0.6999
>>           ss and ss2        -->  0.6591
>>        alpha and alpha2     -->  0.6159
>>       alpha5 and ss6        -->  0.6116
>>          ss5 and alpha3     --> -0.5790
>>          ss5 and alpha6     --> -0.5023
>>          ss3 and ss6        -->  0.4804
>>       alpha4 and alpha5     --> -0.4375
>>           e0 and alpha3     -->  0.4083
>>          ss4 and ss5        --> -0.4047
>>          ss3 and alpha4     --> -0.3972
>>       alpha5 and alpha6     -->  0.3827
>>       alpha3 and alpha6     -->  0.3498
>>          ss3 and ss5        --> -0.3278
>>          amp and ss3        -->  0.3209
>>          ss4 and ss6        -->  0.3181
>>        alpha and alpha3     -->  0.3100
>>       alpha2 and alpha3     -->  0.3045
>>          ss4 and alpha3     -->  0.2948
>>          amp and ss5        -->  0.2820
>>          ss2 and alpha6     -->  0.2745
>>           ss and ss3        -->  0.2627
>>          ss2 and ss3        -->  0.2626
>>          amp and alpha6     -->  0.2589
>>       alpha2 and alpha5     -->  0.2581
>> All other correlations are below 0.25
>> 
>> 
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> 
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