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 Define Gaussian-Lorentzian mixture function
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feiliao

China
Posts

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

Mike Buess

USA
3037 Posts

Posted - 10/31/2006 :  11:22:49 PM  Show Profile  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  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
Posts

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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Evoliy

3 Posts

Posted - 11/17/2011 :  02:35:56 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Origin 8.1
win7

Dear Sir,

By fitting the XPS related curves, many by using the mixture of Gaussian and Lorentzian Functions under a specific ratio (40%G and 66%L, for example) and I wonder how to implement this fittings or the way to setup such ratio in the our origin software. And what dose the "share" (with number from 0 to 9) in the "peak fit parameters" mean, when the "voigt" peak type is choosed?

Thank you
Best regards!

Edited by - Evoliy on 11/17/2011 02:51:15 AM
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Punix

2 Posts

Posted - 09/11/2013 :  03:49:54 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
I have the following problem:
If I check the function that Origin uses for GL Cross product function (http://www.originlab.com/www/helponline/origin/en/UserGuide/Gaussian_LorenCross.html).
I wonder about the little information one gets.
So far i found out that the width in there is only the HWHM. Which is very confusing because in related Lorentzian and Gaussian functions it is the FWHM. Also there should be at least two possibilites to form a cross product (based on amplitude or based on integral) which one was used to create this function?

I was also wondering if the shape parameter 1 still resembles a full Lorntzian function because if I compare it to the Lorentzian function I do not find the same omega dependency.

Whats the trick here or what does the s parameter really describe then for s=0 and s=1 (if not full L and G functions)?

Thank you very much already in advance
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