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 arrhenius plot : user-defined function
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jwoh

2 Posts

Posted - 09/03/2020 :  12:01:23 AM  Show Profile  Edit Topic  Reply with Quote  View user's IP address  Delete Topic
Hi everyone.

I got the data for the integrated photoluminescence intensity as a function of temperature.
To find the activation energy, I changed the x-axis to 1000/T and the y-axis to ln(y) and then fitted the Arrhenius equation with a user-defined function.

However, the message 'Fit did not converge-reason unknown' continuously appear.

The functions, variables, and parameters I used are as follows.

Independent Variables: T
Dependent Variables: I
Parameter Names: A, E
Function Form: Origin C
Function:
I=I0/(1+A*exp(-E/kT))
Constants:
I0= integrated PL intensity at 0K
k=1.38*10^(-23); boltzmanm constant

Please let me know what needs to be corrected or supplemented.
In addition, please inform me of Parameter Initialization.

Thank you.

Edited by - jwoh on 09/03/2020 02:32:00 AM

Shirley_GZ

China
Posts

Posted - 09/03/2020 :  03:00:52 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Hi Jwoh,

The function body should be defined as below:


And, the initial value for parameter E should have similar magnitude with the parameter k, such as 1E-22

Please correct the function and try to do the fitting again.

Thanks,
Shirley

Originlab Technical Service Team
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jwoh

2 Posts

Posted - 09/03/2020 :  07:04:27 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Hi Shirley.

With your advice, the fitting was successful.

Thank you.

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Huda.S

Saudi Arabia
2 Posts

Posted - 04/06/2022 :  08:09:32 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Hello

I followed the previous steps but there is a place for the constants and I put k (Boltzmann's constant) but it didn't ask to define the value for it
Is this considered to be predefined in the program by the value of the constant 8.6*10^-5 ev/k-1
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ChaoC

USA
178 Posts

Posted - 04/06/2022 :  09:03:08 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Hi Huda.S,

If you go to Tools>Fitting Function Builder you can define k as a constant in the Variables and Parameters section. Then, on the next page you can switch to the Constants tab and define Boltzmann's constant.

Chao
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Huda.S

Saudi Arabia
2 Posts

Posted - 04/08/2022 :  2:07:56 PM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Hi Chao

I try it, it is work

thank you too much
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