Good explanation Sir, moreover it appears like hands-on experimental data fitting. If frequency Vs e'' (imaginary part of e) is an almost straight line instead of a relaxation peak, then how to calculate it? If need I will send the data file. Besides, Havriliak-Negami Function fitting for frequency Vs e' (real part of e), I have fitted using Origin fitting P2+[P1-P2]/[1+(P3*x)^P4], but the problem is I could not able to calculate the relaxation time? Please clarify it?
Thank you for your query. If the frequency dependance of imaginary permitivity is without any peak or featureless then take the derivative of frequency dependant plot of real part of permitivity and multiply with -1.57 which is equivalent to dieletric loss vs frequency plot. But here if any peak is hidden, it will display. Moreover, the formula for the HN function you mentioned is not correct. The exact formula is given in the Kremer book , broadband dielectric spectroscopy. If this does not work, then mail me. Satya
@@physicsdoneright ....hello Sir, can you please share the reference for the above comment, in the case when we don't see any peak or hidden peak. Could you as well share the origin equation for the Havriliak Negami funtion, please.
I have mentioned the code below for single peak: parameters: eps,alfa,beta,tau Equation: y=eps*sin(beta*atan((((x*tau)^(alfa))*cos((PI*(1-alfa))/2))/(1+((x*tau)^(alfa))*sin((PI*(1-alfa))/2))))/((1+2*(x*tau)^(alfa)*sin((PI*(1-alfa))/2)+(x*tau)^(2*alfa))^(beta/2)) eps: height of peak alpha and beta: shape tau: relaxation time With out peak: Investigations of Relaxation Dynamics and Observation of Nearly Constant Loss Phenomena in PEO20-LiCF3SO3-ZrO2 Based Polymer Nano-Composite Electrolyte doi.org/10.1016/j.electacta.2016.03.134
Sir I have used this formula in origin but equation is not running.. I have used same parameters and equation provided by you but still equation is not running
Sir, I am trying to fit it exactly the same way as explained but the fitting line is only corresponds to DC conductivity part and the chi2 is reaching minimum value without fitment of relaxation part. I can't figure out what's the problem. Will you share the exact equation from HNDC1 function.
Brief Description = Havriliak-Negami + DC conductivity Parameters: alfa,beta,tau,eps,s,sigma y=eps*sin(beta*atan((((x*tau)^(alfa))*cos((PI*(1-alfa))/2))/(1+((x*tau)^(alfa))*sin((PI*(1-alfa))/2))))/((1+2*(x*tau)^(alfa)*sin((PI*(1-alfa))/2)+(x*tau)^(2*alfa))^(beta/2))+(sigma*x^(-s)*sin(PI*s/2))/(8.854187817e-12) Check my video how to create a origin function.
@@physicsdoneright Hello sir! Thank you for the detailed explanation. Could you please describe why there is a sinusoidal term with the dc conductivity "Sin(PI*s/2)" in the above function??
In fact, fitting only the imaginary part is not correct. One must fit the real and imaginary parts of the dielectric data simultaneously. So, it would be better if you could guide your followers to fit both parts at the same time by providing codes for the real part as well.
The purpose of this demonstration video was to understand the relaxation properties, like relaxation time, dielectric strength, and shape parameters in ceramics and glasses. It's an example video how to fit the data for one peak and added dc conductivity. Those who are interested they and see some literature in Kremer book how to fit the real part. It's upto their choice. According to my opinion, research in the field of dielectric is a self driven thing. I have made this video for the PhD students who are in the 1st year of their studies. If they learn they will do it.
@@physicsdoneright Ok yes but you can make a longer video demonstrating a complete fitting. It would be a best guiding video for the students. I have seen that many PhD students have lack of this things and they report wrong data by fitting. At last, it’s your choice what to share. You are doing a good job to enlighten the young students. Keep it up. Kudos!
Sir, thank you for the very informative video. In the fit formula, is 'x' frequency or angular frequency ?
Hello, In fit it is frequency. If you want to change to angular frequency, you can modify the formula. All the best.
@@physicsdoneright Thank you sir.
facing problem while putting your formula during H-N model..please help
sir how to calculate dielectric strength, relaxation time and absorption coefficient from dielectric data
Please see the equation carefully. It has dielectric strength parameters there. After fit, you will get it.
Good explanation Sir, moreover it appears like hands-on experimental data fitting. If frequency Vs e'' (imaginary part of e) is an almost straight line instead of a relaxation peak, then how to calculate it?
If need I will send the data file.
Besides, Havriliak-Negami Function fitting for frequency Vs e' (real part of e), I have fitted using Origin fitting P2+[P1-P2]/[1+(P3*x)^P4], but the problem is I could not able to calculate the relaxation time? Please clarify it?
Thank you for your query. If the frequency dependance of imaginary permitivity is without any peak or featureless then take the derivative of frequency dependant plot of real part of permitivity and multiply with -1.57 which is equivalent to dieletric loss vs frequency plot. But here if any peak is hidden, it will display. Moreover, the formula for the HN function you mentioned is not correct. The exact formula is given in the Kremer book , broadband dielectric spectroscopy. If this does not work, then mail me. Satya
@@physicsdoneright ....hello Sir, can you please share the reference for the above comment, in the case when we don't see any peak or hidden peak.
Could you as well share the origin equation for the Havriliak Negami funtion, please.
I have mentioned the code below for single peak:
parameters: eps,alfa,beta,tau
Equation: y=eps*sin(beta*atan((((x*tau)^(alfa))*cos((PI*(1-alfa))/2))/(1+((x*tau)^(alfa))*sin((PI*(1-alfa))/2))))/((1+2*(x*tau)^(alfa)*sin((PI*(1-alfa))/2)+(x*tau)^(2*alfa))^(beta/2))
eps: height of peak
alpha and beta: shape
tau: relaxation time
With out peak:
Investigations of Relaxation Dynamics and Observation of Nearly
Constant Loss Phenomena in PEO20-LiCF3SO3-ZrO2 Based Polymer Nano-Composite Electrolyte
doi.org/10.1016/j.electacta.2016.03.134
@@physicsdoneright .....Thanks a lot.
Can u please me the formula...
Sir I have used this formula in origin but equation is not running.. I have used same parameters and equation provided by you but still equation is not running
Sir, I am trying to fit it exactly the same way as explained but the fitting line is only corresponds to DC conductivity part and the chi2 is reaching minimum value without fitment of relaxation part. I can't figure out what's the problem.
Will you share the exact equation from HNDC1 function.
Brief Description = Havriliak-Negami + DC conductivity
Parameters: alfa,beta,tau,eps,s,sigma
y=eps*sin(beta*atan((((x*tau)^(alfa))*cos((PI*(1-alfa))/2))/(1+((x*tau)^(alfa))*sin((PI*(1-alfa))/2))))/((1+2*(x*tau)^(alfa)*sin((PI*(1-alfa))/2)+(x*tau)^(2*alfa))^(beta/2))+(sigma*x^(-s)*sin(PI*s/2))/(8.854187817e-12)
Check my video how to create a origin function.
@@physicsdoneright Hello sir! Thank you for the detailed explanation. Could you please describe why there is a sinusoidal term with the dc conductivity "Sin(PI*s/2)" in the above function??
@@vishnudeomishra2245 Kindly check page 62 of the following book: link.springer.com/book/10.1007/978-3-642-56120-7
@@physicsdoneright Thank you!🙂
In fact, fitting only the imaginary part is not correct. One must fit the real and imaginary parts of the dielectric data simultaneously. So, it would be better if you could guide your followers to fit both parts at the same time by providing codes for the real part as well.
The purpose of this demonstration video was to understand the relaxation properties, like relaxation time, dielectric strength, and shape parameters in ceramics and glasses. It's an example video how to fit the data for one peak and added dc conductivity. Those who are interested they and see some literature in Kremer book how to fit the real part. It's upto their choice. According to my opinion, research in the field of dielectric is a self driven thing. I have made this video for the PhD students who are in the 1st year of their studies. If they learn they will do it.
@@physicsdoneright Ok yes but you can make a longer video demonstrating a complete fitting. It would be a best guiding video for the students. I have seen that many PhD students have lack of this things and they report wrong data by fitting. At last, it’s your choice what to share. You are doing a good job to enlighten the young students. Keep it up. Kudos!
@dharma4you thank you for your suggestions. I appreciate your comments.
@@dharma4you yeah i am facing the problem, i dont know how to put real part and then how to combine both of them
@@wafazulfiqarzulfiqarali8360 I am facing the same problem brother. how did you tackle this?