Hope this paper might be useful to you

I suggest if you want to study inside the a.c.conductivity you better carry out jonscher's plot because it will help you to decide the conductivity mechanism, i.e. you can correlated your conductivity with different hopping models.

The dielectric spectroscopy measure real and imaginary parts of the complex permittivity. Complex conductivity = (vacuum permittivity)*(angular frequency)*(complex permittivity). Hence, real part of the conductivity = (vacuum permittivity)*(angular frequency)*(imaginary part of permittivity). You can obtain the ac conductivity = (real part of conductivity) - (dc conductivity). 

Dear Nagarajan,

although J.C. is probably right, there is a problem when representing electrical response as complex permittivity (real and imaginary part of the dielectric response function in general). In order to do that you have to be sure that what you measure is true bulk and not interfaces . My suggestion would be to transform your dielectric permittivity data back to the complex capacitance (C(w)=eps(w)*Area/Length) and then do the transform to complex admittance Y(w)=C(w)(i*w). The complex admittance is then related to what some call complex conductivity through sigma(w)=Y(w)*Length/Area. The real part of this quantity is then what is often discussed in the literature as "universal relaxation" sigma1(w)~w^s, where s is around some 0.8.

Lastly, a word of warning, if sigma1(w)~w^s dependence is what you are studying.Various theories of hopping conduction claim that this relation can be explained by considering the hopping mobility to be time/frequency dependent. I am afraid that this is not so. I would therefore urge you to check that these theories get a good agreement with the experiment both for the real but especially for the imaginary part of the response.

I hope this will help you on the way.

With best regards

Petr

I think this paper might be useful to you

Journal of Molecular structure with Vol. No. 1148, Page Nos. 254-265, and year of publication 2017 published by Elsevier

Dear J. C. Badot,

I want to calculate ac conductivity from the following data.

I have real impedance ( R) imaginary impedance ( X) .

So, Impedance Z = R + jX.

Hence admittance Y = 1/(R+jX).

This gives Y = G + jB.

G = conductance and B = susceptance

So conductivity = G×d/ A, where d is the thickness and A is the area of the dielectric.

Please suggest me what's wrong with this and how to calculate the ac conductivity.

How to calculate dc conductivity?

I have Cp, and tan δ.

But I am unable to find the calculate ac conductivity from G and B.

Please discuss and suggest.

Thanks and Regards

N Das

Sigma ac =Epsilon not*omega*Dielectric constant* Tan d