Dear Dr. Renat:

Yes. There is a direct correlation between both.

Both functions are complex function.

Being conventional complex functions, one function can be transformed in the another and vice-versa. This transformation is direct from data component real of Z* and component imaginary of Z* and vice-versa. In fact, impedance Z* can be transformed as mentioned above in Complex dielectric permittivity, Electric Modulus M* and Admittance Y*, that are most common.

With best regards

Marcos Nobre

The impedance of the dielectric material is basically two components, resistive part and capacitive part (for both the parallel and series model for real dielectric material). The resistive part is related to the loss part in the dielectric material. The capacitive part is proportional to the permittivity.

Hello,

Wave impedance of a dielectric media is Z=sqrt[(mu(0)*mu(media))/epsilon(0)*epsilon(media)].

Hope this would help.

Yes, Impedance and dielectric constant are related.

Dielectric constant and impedance have both real and imaginary parts. Dielectric constant of a material depends on its capacitive nature whereas impedance depends on capacitance as well as resistance. If we plot log f Vs dielectric constant and impedance plot/ Cole-Cole plot (Z' VsZ") separately, we get some interesting results. First of all, if the charge accumulation in the electrode region is higher, then that material shows a high dielectric constant in the low frequency region of log f Vs dielectric constant curve. Correspondingly a third semicircle in the impedance plot will appears. If the electrode contribution is small, then no semicircle appears on the low frequency region of the impedance plot (or a spike will appears). Similarly a plot of log Vs Z" also relates the imaginary part of impedance with dielectric constant. by following this method we can identify the grain, grain boundary contribution.

For impedance related informations following articles may be useful

doi: 10.1016/j.ssi.2018.05.025

doi: 10.1016/j.jallcom.2018.08.091

doi: 10.1016/j.materresbull.2019.03.010

the following text book also gives good theoretical background on impedance and dielectric measurements.

Impedance Spectroscopy Theory, Experiment, and Applications : Evgenij Barsoukov , J. Ross Macdonald , John Wiley & Sons, Inc., Publication

Hi, can you give any reference paper regarding their relationship ?

Regards Rejith R S Ardhendu Kundu Marcos Augusto Lima Nobre Ayman El-Hag

Dear Dr kalid all interested:

Most of conventional transformation is from impedance function to the electric modulus, but impedance to dielectric permittivity is also classic.

I add some pdf papers authored by me, in which some transformations are applied.

With best regards

Marcos Augusto Nobre

Rejith R S how can I understand from the 'Nyquist plot' that the impedance I am measuring is coming from the bulk of the material (or the material under test) but not from other things (e.g., wire, device)?

Dear Tanzila Nurjahan,

you can replace the 'the material under test' by a (well known set of) dummy cell(s) having alike (Zmean-value, comparable with the measured) impedance.

Dear Ioannis Samaras,

Thank you very much. I will change the material under the test.

Not only relationship between dielectric permittivity and impedance exists. It can be derived directly from solution of Maxwell equations for the case of polarizable materials