Theoretical calculation of collection efficiencies for collector-generator microelectrode systems

Dual-microdisk electrodes in transient generator–collector mode: Experiment and theory

“…Zhang and Zhou [51] have published fabrication methods, and analysis of films on dual-microdisk electrode systems. Phillips and Stone [36] have developed numerical analysis for dual microdisk collector-generator steady-state system for which a heterogeneous first-order reaction may consume the species during travel from the generator to the collector.…”

“…Such measurements can also be operated in transient mode, where 'time of flight' experiments reflect, in a highly sensitive manner, both the diffusion coefficient and the homogeneous chemical reaction rates of electro-generated species; such experiments are normally conducted with a potential step at the generator electrode with the collector current measured at a potential corresponding to a transport limited detection of the product or intermediate of interest. These systems have been studied extensively in terms of two dimensional diffusion, where the collector and generator are both parallel microbands [25][26][27][28][29][30], channel electrodes [27,31,32], walljet electrodes [33,34], or at a ring-disk electrode [35][36][37][38][39][40][41][42][43]. To a lesser extent, due to the stimulatory three-dimensional nature of the system, the dual-microdisk generator collector system has also been probed [23,24,36,44], as well as dual micro-hemispheroidal electrode systems [24,45,46].…”

Simulation and experimental verification of the dependence of collection efficiency on the shape of a dual micropipette

“…For well-defined geometries of G/C microelectrode systems, Phillips and Stone have theoretically calculated the collection efficiencies based on Green's theorem [20]. Using the BE method, Fisher et al [17] have simulated similar systems, and discussed in detail the influence of collection efficiencies by various separating distances between these two microelectrodes.…”

Theoretical evaluation of the collection efficiency at ring-disc microelectrodes

“…A semi analytical solution for the collection efficiency of ring-disc microelectrodes was proposed by Phillips and Stone [18] although practically achievable devices lie off their graph. Moreover, the semi analytical solution still requires a numerical modelling step before the analytical step can be attempted.…”