How can I calculate electric modulus (M', M'') from impedance data (Z',Z'')?

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R. Rajesh

Real Part of Electric modulus = (angular frequency)*(Z")*C0

& Imaginary Part of Electric Modulus = (angular frequency)*(Z')*C0

where C0 = e0*A/t (e0 = 8.854E-12; A- surface area of film / pellet; t - thickness)

Bac Luong

Thank Raman Rajesh for your help. I will try and ask you more for help later.

Beatriz Romero

M =jwCZ, where M is modulus, w is angular frequency, C is capacitance and Z is impedance

.When measuring Impedance, we need to put an AC signal. Is it dependent on the value of AC value which we applied to measure impedance?

AC value should be small enough to linearize the behaviour of the device. The typical value es between 20 and 50 mV.

Thank Beatriz Romero very much.

Md. Ashraf Ali

Dear Raman Rajesh,

Could you please give a reference for the following equations

Thanks in advance

Regards

A. Ali

JayaKumar G

Thank you for the suggestions

Dear Mr. Ashraf Ali,

The following article clear explain the basics of impedance spectroscopy and its further calculation. I hope it may helpful to you

Electrical characterization of zirconium substituted barium titanate using complex impedance spectroscopy, Bull. Mater. Sci., Vol. 36, No. 1, February 2013, pp. 135–141.

Qaisar Khushi Muhammad

Dear Ashraf Ali,

I suggest you following paper, this covers everything you asked for.

Article Electroceramics: Characterization by Impedance Spectroscopy

Regards,

Qaisar

Ashish Thakur

Dear Bac,

Refer this article which can help you out.

https://pubs.rsc.org/en/content/articlehtml/2018/ra/c7ra13261a

Figure 10(a), (b)and (c), using the concept of calculated activation energy values for Z′′ and M′′ vs. frequency plot at temperature can be good attention to understand it by study single and double peaks. Equation 6 and 7 can be used for calculation of for M′′ and M′. Feeding the value of relaxation time of grain, relaxation time of grain boundary, capacitance of grain, capacitance of grain boundary, resistance of grain and resistance of grain boundary etc. can be calculated the low frequency peak. IN Figure 13, impedence vs frequency is shown. Just take help of this paper.

Ashish