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 bivariate Lorentz equation
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DrKlein

Albania
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Posted - 01/10/2008 :  04:53:13 AM  Show Profile  Edit Topic  Reply with Quote  View user's IP address  Delete Topic
Origin Version (Select Help-->About Origin): 7
Operating System: Windows 2000 Pro

Hi,
I want to fit a bivariate Lorentz equation to a measured spectroscopic peak. I am not sure if Origin 7 can do it, but I read the article:

Origin does not seem to have provisions for fitting 3-dimensional data. Is there a way that I can do this?
on
http://www.originlab.com/www/support/resultstech.aspx?ID=57&language=English&Version=7.0

The general formula for a Lorentzian fit in 1 dimension given by Origin is
y = y0 + (2*A/Pi) * w/(4(x-xc)^2 + w^2)

I now need the generalization of this formula for 2 dimensions, z=f(x,y), with one offset, 2 FWHM and a Volume V, instead of an Area A and 2 center positions xc and yc.

I guess something like that is implemented in Origin 8 Pro. Can anyone help me ?

Fay_Guo

China
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Posted - 01/10/2008 :  9:49:31 PM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Yes you can fit a bivariate Lorentz equation by using the method mentioned on http://www.originlab.com/www/support/resultstech.aspx?ID=57&language=English&Version=7.0

While in Origin 8, we have provided Lorentz2D in Nonlinear Surface Fit.... And you can download an demo on our website to evaluate this new feature.


Thanks
Fay
Originlab Technical Service
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