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Activation Energy

The minimum energy required for an electrochemical reaction to occur, directly affecting reaction rates and battery performance.
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The statement of the theorem

Consider the rate constant kk for an electrochemical reaction. The dependence of kk on temperature TT and the activation energy EaE_a is governed by the Arrhenius equation:\nk(T)=Aexp⁡(−EakBT)where A is the pre-exponential factor, and kB is the Boltzmann constant. k(T) = A \exp\left(-\frac{E_a}{k_B T}\right) \quad \text{where } A \text{ is the pre-exponential factor, and } k_B \text{ is the Boltzmann constant.} \nAlternatively, the potential dependence can be modeled using the Tafel equation, relating the overpotential η\eta to the current density jj:\nη=βlog⁡(jj0)where β is the Tafel slope. \eta = \beta \log \left( \frac{j}{j_0} \right) \quad \text{where } \beta \text{ is the Tafel slope.}