First-order collection efficiencies at the RRDE

In the limiting case where we have a thin-gap thin-ring electrode and consequently normal convection may be neglected, this problem can, in principle, be solved analytically. However, inversion from Laplace space is difficult and polynomial expansion is necessary except for small k,. If we define 

Digital simulation by Bard and Prater agrees well with the numerical solution provided by Albery and the analytical solution [229], Experimental verification using the bromination of anisole and Fe(II)/V(V) reaction was given [230]. The range of measurable rate constants is 0.2 K 5 which corresponds to 

Another possibility which avoids algebraic manipulation is to calibrate an RRDE by using a reaction of known rate constant and from this determine the rate constant of the unknown reaction [231]. 

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