Mott–Schottky equation
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The Mott–Schottky equation relates the capacitance to the applied voltage across a semiconductor-electrolyte junction.[1]
where is the differential capacitance , is the dielectric constant of the semiconductor, is the permittivity of free space, is the area such that the depletion region volume is , is the elementary charge, is the density of dopants, is the applied potential, is the flat band potential, is the Boltzmann constant, and T is the absolute temperature.
This theory predicts that a Mott–Schottky plot will be linear. The doping density can be derived from the slope of the plot (provided the area and dielectric constant are known). The flatband potential can be determined as well; absent the temperature term, the plot would cross the -axis at the flatband potential.