A From Nyquist plot to real conductivity spectra (sigma)

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To convert a Nyquist plot into a real conductivity vs. frequency plot, one must derive the real part of the complex conductivity from the impedance data. The discussion highlights the need for clarity on whether the imaginary part is necessary for this transformation. Users share their methods for calculating real conductivity, emphasizing the importance of correct formulas for admittance. The original poster seeks guidance on ensuring their calculations are accurate. The conversation centers on the mathematical relationships between impedance, admittance, and conductivity.
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From Nyquist plot to real conductivity spectra (sigma) vs frequency
Hi, I have data of impedance but due to limitation of software after measurement I do not receive numerical values for admittance and real conductivity vs frequency. How mathematically I can convert Nyquist plot into plot real conductivity vs frequency?
conductivity spectra.jpg
 
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Your plot already shows the real part of the complex conductivity. Do you need the imaginary part?
 
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The image is the result I want to get. For now I have Nyquist plot Im vs Re, which I would like to transform it to the plot you see attached, real part of complex conductivity vs frequency. I have done it trough admittance but I am not sure in all formulas I used for it...
 
Please, show us your method.
 

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