Coupled Reactions Dependent on Potential and Surface Coverage

4 Coupled Reactions Dependent on Potential and Surface Coverage 

The variation of the surface coverage by the intermediate X is given by the expression 

Under a steady-state condition, d yx/dt = 0 and z m = ix- By using the corresponding equations (10.62) and (10.63), an expression for the steady-state surface coverage 7x is obtained as 

The oscillating component of the current density for each reaction is given respectively by 

According to equation (10.64), the oscillating component of the surface coverage can be expressed as 

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COUPLED REACTIONS DEPENDENT ON POTENTIAL AND SURFACE COVERAGE... 

Figure 10.9 Calculated steady-state and impedance response for coupled reactions dependent on potential and surface coverage, a) Simulated current-potential curve following equation (10.66) with the kinetic parameters = 4F A/cm, — 36 V, Kx = 10 F A/cm, bx = 10 V r = 2 X 10 mol/cm, and Cji = 20jiF/cm. The points A, B and C correspond to the simulated impedance, b) impedance diagram simulated at the point A (V = —0.65 V) c) impedance diagram simulated at the point B (V = —0.585 V) and d) impedance diagram simulated at the point C V — —0.50 V).

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