Consider a Reaction Given By
-In the Same Mechanism, the Faradaic Impedance (Z_F) Is

Consider a reaction given by $\begin{array} { l } M \underset { k _ { - 1 } } { \stackrel { k _ { 1 } } { \rightleftarrows } } M _ { a ds } ^ { + } + e ^ { - } \\M _ { a d s } ^ { + }\underset { k _ { - 2 } } { \stackrel { k _ { 2 } } { \rightleftarrows } } M _ { sol } ^ { + }\end{array}$ .
-In the same mechanism, the faradaic impedance (Z_F) is given by

A) $$\left( Z _ { F } \right) ^ { - 1 } = F \left( b _ { 1 } k _ { 1 \dot { dc } } \left( 1 - \theta _ { s s } \right) - b _ { - 1 } k _ { - 1 \dot { \alpha } } \theta _ { ss } + \left( k _ { 1 \dot { dc } } + k _ { - 1 \dot { dc } } + k _ { 2 } \right) \frac { d \theta } { d E } \right)$$
B) $$\left( Z _ { F } \right) ^ { - 1 } = F \left( b _ { 1 } k _ { 1 d \dot { c } } \left( 1 - \theta _ { s s } \right) - b _ { - 1 } k _ { - 1 \dot { } } \theta _ { s s } - \left( k _ { 1 \dot { dc } } + k _ { - 1 \dot {dc } } + k _ { 2 } \right) \frac { d \theta } { d E } \right)$$
C) $$\left( Z _ { F } \right) ^ { - 1 } = F \left( b _ { 1 } k _ { 1 \dot { dc } } \left( 1 - \theta _ { s s } \right) - b _ { - 1 } k _ { - 1 \dot {dc } } \theta _ { s s } - \left( k _ { 1 d \dot {c } } + k _ { - 1 \dot { dc } } \right) \frac { d \theta } { d E } \right)$$
D) $$\left( Z _ { F } \right) ^ { - 1 } = F \left( b _ { 1 } k _ { 1 d \dot { c} } \left( 1 - \theta _ { s s } \right) - b _ { - 1 } k _ { - 1 \dot { dc } } \theta _ { ss } + \left( k _ { 1 d \dot { c} } + k _ { - 1 d \dot {c } } \right) \frac { d \theta } { d E } \right)$$

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