i have been performed complex impedance spectroscopy and want to know that how i can find dielectric constant (real and imaginary parts) from impedance data??... what is the method to find dielectric constant from impedance data?
Have you tried to convert impedance to dielectric? if not, try using E = 1/(jwZ), w is radial frequency. For more help, I suggest looking up Prof. A. Lasia's "electrochemical impedance spectroscopy and applications" I think it is available via research gate.
Dielectric constant may be found for cell with well determined geometric dimensions of electric field, that it is not very easy. If You have it, You can calculate capacitance and resistance (optional) from Im and Re parts of signal, but if You have model's schematic. Ratio between measured capacitance and calculated for vacuum gives desired dielectric constant .