The specific capacitance can be calculated from the cyclic voltammetry (CV) curve using the following formula:
C = (i / (2 * A * dV / dE)),
where C is the specific capacitance in Farads per gram (F/g),
i is the current density in Amperes per gram (A/g),
A is the geometric surface area of the electrode in square centimeters (cm^2), and
dV/dE is the scan rate in Volts per second (V/s).
For a three-electrode system, the current density i should be divided by the mass of the active material on one electrode only, since each electrode is considered individually. However, for a two-electrode system, the current density should be divided by the total mass of active material on both electrodes combined, since both electrodes contribute to the total capacitance.
It's important to note that the specific capacitance calculated using this formula assumes that the electrode material is fully accessible to the electrolyte, which may not always be the case in practical applications. Additionally, the specific capacitance can be affected by factors such as electrode morphology, porosity, and the composition of the electrolyte, among other things.