This is simply y=constt exp(-r/a)^2. Your plot is between y and r. Ci may be any constant which fitting will determine, while a is any value of r. It's very simple nonlinear fit. Thanks
Thanks for the appreciation dear. When you're in the fitting menu, you may click the details of the function to see its equation, sample plot and explanation of the parameters used in it. Thanks
Data on x and y can be checked with the data reader tool. When data points are widely spaced, then fitting is to be done to have almost a continuous set of data points and use the data reader toll easily. Thanks
Sir i have 4 independent(x) and 1 dependent(y) variable. Exponential decay (EXPDec2) function is fitting with R2=0.99. But in the Equation only 2 independent variable is available. Please help
You can have as many variables as you wish. See this video to learn how to edit or build your own fitting equation. Thanks ruclips.net/video/ViIdEllu5pA/видео.html
This means that you have put so many restrictions on the fitting that it can’t stretch to fit itself. Change the function or ease restriction. See two peaks fitting video on it. Thanks
@@SAYPhysics dear sir K clustering data ( if I want to use six variables and want to show each variable in separate cluster on the graph ) is showing scattered and mixed results therefore I want to normalize data but still all variables are mixed with each other kindly suggest me what to do in this case
Soon I'll make a video on it. For the time being I can provide you some steps with the help of which you will be able to do it. To fit the Inokuti-Hirayama model for PL decay curve in Origin, you can follow these steps: Import your PL decay data into Origin, and create a new worksheet. Select the column containing the decay data and create a new column that represents the time axis. Ensure that the time axis is in the correct units (e.g., seconds). Create a new column that represents the decay function. The Inokuti-Hirayama model is given by: F(t) = A * (1 + Bt) * exp(-Ct) where A, B, and C are the fitting parameters that determine the amplitude, stretching factor, and decay rate of the curve, respectively. Select the column containing the decay function, and go to the "Fitting" menu. Choose "Nonlinear Curve Fit" and select the Inokuti-Hirayama model as the fitting function. In the "Parameters" tab, set the initial values for A, B, and C. You can either estimate these values from the data or use previous literature values. In the "Fit Control" tab, select the appropriate fitting method (e.g., Levenberg-Marquardt). Click "Fit" to fit the data to the Inokuti-Hirayama model. The fitted curve should now be displayed on the graph. Evaluate the goodness-of-fit of the model by examining the residual plot and computing the R-squared value. You may share your data with me at sayphysics@gmail.com to be taken as input for these calculations. Thanks
To calculate the average lifetime from two exponential decay functions, you can follow these steps: Determine the two decay functions that describe the data. Assume they are of the form: F1(t) = A1 * exp(-t/τ1) F2(t) = A2 * exp(-t/τ2) where A1 and A2 are the initial amplitudes, and τ1 and τ2 are the decay time constants. Plot the data and the two decay functions on the same graph to visually inspect the fits. Combine the two decay functions to create a single function that describes the data. This is done by taking a weighted sum of the two decay functions: F(t) = w1 * F1(t) + w2 * F2(t) where w1 and w2 are the weights assigned to each decay function. Choose the weights w1 and w2 such that they sum to 1, and use them to calculate the average lifetime, τavg: τavg = w1 * τ1 + w2 * τ2 Estimate the uncertainties in the fitted parameters (A1, A2, τ1, τ2, w1, and w2) using a suitable fitting algorithm. Evaluate the goodness-of-fit of the combined function to the data by examining the residual plot and computing the R-squared value. Finally, extract the average lifetime and its uncertainty from the fitting results, and report them in your analysis. Thanks
sir, i need to find parameters by fitting given points( in a given equation)but this equation is not shown there ..is this possible in origin?
Yes. See advance fitting here. ruclips.net/video/ViIdEllu5pA/видео.html
@@SAYPhysics mere function me summation ka sign aa rha h uska kya kru
Try to fit the nth term.
@@SAYPhysics y=summation(ci exp(-(r/ai)^2) isme kese krenge sb...hme ci or ai ki values chahiye fit krke
This is simply y=constt exp(-r/a)^2. Your plot is between y and r. Ci may be any constant which fitting will determine, while a is any value of r. It's very simple nonlinear fit. Thanks
Awesome way of demonstration
Thanks 😊
Nice video . How does second order exponential decay function look like ..can you tell? I mean graph for function: dC/dt = C^2
Thanks for the appreciation dear. When you're in the fitting menu, you may click the details of the function to see its equation, sample plot and explanation of the parameters used in it. Thanks
@@SAYPhysics okay thankyou
Practical!!!
Thanks dear
Hi, in which way I can obtain in OriginLab, from a plot of discrete data, the value of x or which y= 1/e without searching manually for it?
Data on x and y can be checked with the data reader tool. When data points are widely spaced, then fitting is to be done to have almost a continuous set of data points and use the data reader toll easily. Thanks
Sir i have 4 independent(x) and 1 dependent(y) variable. Exponential decay (EXPDec2) function is fitting with R2=0.99. But in the Equation only 2 independent variable is available. Please help
You can have as many variables as you wish. See this video to learn how to edit or build your own fitting equation. Thanks
ruclips.net/video/ViIdEllu5pA/видео.html
Sir, Excel Solver does not provide suitable parameters, how can I minimize the sum of errors in Origin?
Workbook in Origin is itself an excel file, with slightly different commands. Thanks
Fit did not converge, parameters are not properly initialized. Pls check and correct their values. What does this mean?
This means that you have put so many restrictions on the fitting that it can’t stretch to fit itself. Change the function or ease restriction. See two peaks fitting video on it. Thanks
Hello brother any suggestion how to make data in clusters if n=400 for scattered plot any good suggestions for normalization?
I'm not getting your question completely. Can you elaborate more for my understanding. Thanks
@@SAYPhysics dear sir K clustering data ( if I want to use six variables and want to show each variable in separate cluster on the graph ) is showing scattered and mixed results therefore I want to normalize data but still all variables are mixed with each other kindly suggest me what to do in this case
This isn't a straight forward task but need a piece-wise fitting. Please watch all my videos (5 to 6 in the same playlist). Thanks
@@SAYPhysics thank you
How to fit inokuti hiryama model for PL decay curve
Soon I'll make a video on it. For the time being I can provide you some steps with the help of which you will be able to do it.
To fit the Inokuti-Hirayama model for PL decay curve in Origin, you can follow these steps:
Import your PL decay data into Origin, and create a new worksheet.
Select the column containing the decay data and create a new column that represents the time axis. Ensure that the time axis is in the correct units (e.g., seconds).
Create a new column that represents the decay function. The Inokuti-Hirayama model is given by:
F(t) = A * (1 + Bt) * exp(-Ct)
where A, B, and C are the fitting parameters that determine the amplitude, stretching factor, and decay rate of the curve, respectively.
Select the column containing the decay function, and go to the "Fitting" menu. Choose "Nonlinear Curve Fit" and select the Inokuti-Hirayama model as the fitting function.
In the "Parameters" tab, set the initial values for A, B, and C. You can either estimate these values from the data or use previous literature values.
In the "Fit Control" tab, select the appropriate fitting method (e.g., Levenberg-Marquardt).
Click "Fit" to fit the data to the Inokuti-Hirayama model. The fitted curve should now be displayed on the graph.
Evaluate the goodness-of-fit of the model by examining the residual plot and computing the R-squared value.
You may share your data with me at sayphysics@gmail.com to be taken as input for these calculations. Thanks
Sir can I get video for analysis of carrier life time in origin
No dear, I don't have any video on this. Thanks
How to calculate average lifetime from exponential dec2
To calculate the average lifetime from two exponential decay functions, you can follow these steps:
Determine the two decay functions that describe the data. Assume they are of the form:
F1(t) = A1 * exp(-t/τ1)
F2(t) = A2 * exp(-t/τ2)
where A1 and A2 are the initial amplitudes, and τ1 and τ2 are the decay time constants.
Plot the data and the two decay functions on the same graph to visually inspect the fits.
Combine the two decay functions to create a single function that describes the data. This is done by taking a weighted sum of the two decay functions:
F(t) = w1 * F1(t) + w2 * F2(t)
where w1 and w2 are the weights assigned to each decay function.
Choose the weights w1 and w2 such that they sum to 1, and use them to calculate the average lifetime, τavg:
τavg = w1 * τ1 + w2 * τ2
Estimate the uncertainties in the fitted parameters (A1, A2, τ1, τ2, w1, and w2) using a suitable fitting algorithm.
Evaluate the goodness-of-fit of the combined function to the data by examining the residual plot and computing the R-squared value.
Finally, extract the average lifetime and its uncertainty from the fitting results, and report them in your analysis. Thanks
What does y0 mean?
It's the minimum or starting value on the y-axis, which is 0.2. Thanks