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 Define Gaussian-Lorentzian mixture function
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feiliao

China
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Posted - 10/31/2006 :  11:09:08 PM  Show Profile  Edit Topic  Reply with Quote  View user's IP address  Delete Topic
Origin Version:7.5
Operating System: WinXp


Hi all,

I use the FPM to fit the data get from the XPS (X-ray photoelectron
spectroscopy), I need to decompose the original curve into three fitting curves, and I want to define my own fitting method for the peak type, which is mostly used in the XPS analysis software, its a mixture of a Gaussian and a Lorentzian, and I can change the ratio of the two in the method. so, my question is how to define the method function in the Origin?

in origin the Built-in Gaussian Function is:
y=(A/w)*sqrt(4*ln(2)/PI)*exp(-4*ln(2)*(x-xc)^2/w^2);
and the Built-in Lorentzian Function is:
y=(2*A/PI)*w/(4*(x-xc)^2+w^2);

I would appreciate you can send me your request to the email:
wpf708@163.com

Thank you very much
feiliao

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Mike Buess

USA
3037 Posts

Posted - 10/31/2006 :  11:22:49 PM  Show Profile  Visit Mike Buess's Homepage  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
The built-in PsdVoight1 or PsdVoight2 function is probably what you want. They are linear combinations of Lorentz and Gaussian where ratio is a fitting parameter.

Mike Buess
Origin WebRing Member
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Leo_Li

China
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Posted - 10/31/2006 :  11:52:52 PM  Show Profile  Visit Leo_Li's Homepage  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
and the ratio parameter is mu
in PsdViogt1, Gaussian and Lorentzian have the same width
in PsdViogt2, Gaussian and Lorentzian have different widths (wG, wL)

Leo

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feiliao

China
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Posted - 11/01/2006 :  02:00:32 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
yes, that's what i want

thanks Mike Buess and Leo_Li


Regards,
feiliao



Edited by - feiliao on 11/01/2006 02:03:19 AM
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