As Christian Punckt, about a useful (technical or practical surface) impedance for a quasi-2Dim (material on an) electrode. However, the specific impedance of the materials[1] has (always) the typical unit of : Ohm*cm.
The following analysis shows that the correct unit is the Ohm x cm^2.
Assume that we have two electrodes immersed in electrolyte where the immersed cross sectional area of the twp electrodes are equal of area A. assume that the spacing between the two electrodes is L and the resitivity of the electrolyte is roh, then accordingly one can expels the resistance between the two electrodes as
R= roh L/A,
Rearranging
R XA= roh/L
From this relation it is clear that
When A =1cm^2, then it will give the properties of the electrolyte roh and its path length L.
thank you sir@Abdelhalim Zekry for your elaborative answer. But I have one more doubt. You have explained, in term of the resistance offered by electrolyte.
Does it follow the same logic for the corrosion resistance offered by the workpiece (anode) as I have asked in my question as Impedance?
I worked with a Gamry cell (PCT 1) with a surface area 10cm2, and the impedance obtained by EIS spectra at frequency 0.1 Hz was 5500 kohm. To get this unit, do I have to multiply the impedance value by the cross-sectional area?