A cylindrical cell useful for rotating disk studies has been analyzed for its primary resistance. Values of the resistance are given for a large number of cell configurations. The resistance calculations permit the simpler resistance formulas for infinite cells to be applied to the design of finite cells.
Ring-disk electrodes have been used in the literature to simulate experimentally the nonuniform current distribution across a rotating disk electrode operated at a fraction of the limiting current. The analogy of a sectioned disk to a ring-disk electrode is difficult to substantiate since both the limiting current and primary current distributions are radically different. Thus a detailed knowledge of the distribution of current and concentrations is developed to compare rationally the differences in nonuniformity for the ring-disk and disk electrodes. Integral measures of the degree of departure from the limiting current and primary current distributions are developed and related to the measurement of throwing power.The ring-disk electrode system is one of the most convenient arrangements of two working electrodes in a common cell. The concentric, rotating electrode structure is relatively easy to fabricate and is available commercially. The device has drawn attention recently, as both the object of theoretical analysis and experimental applications. Bruckenstein and Miller (1) and Smyrl and Newman (4) have performed experiments with ring disks to assess the nonuniform current distribution on a disk electrode utilizing the sectionedelectrode approach. Miller and Bellavance (2) have reported a number of experiments with the system, including measurement of interrupter and steady-state resistances and interactive resistances between the ring and the disk. Smyrl and Newman (3, 4) have presented data for ring-disk electrodes operated at and below the limiting current, along with a detailed analysis demonstrating the limiting current calculations. The primary current distribution was recently computed by Miksis and Newman (5). The limiting current (4, 11) and the primary current (5) densities of a ring electrode are not uniform, so the current density on a ring operated at some fraction of the limiting current, where kinetics also must be taken into account, does not approach the uniform distribution (12) that prevails near the edge of a disk electrode as the fraction of the limiting current approaches unity. The current distribution across a ring-disk electrode tends to be more nonuniform than for an equivalent disk.Newman's (6) approach to the computation of the concentration and current density distributions across a rotating disk electrode has been applied successfully to a number of other electrode geometries (7-9, 24-26). Parrish and Newman (8) investigated the current distributions on two plane parallel electrodes in channel flow, the only application to two interactive working electrodes. The ring-disk geometry contains two working electrodes and can utilize a counierelectrode, which would be considered infinitely far from the working electrodes. The working electrodes interact through the potential distribution, which is described by an elliptic Laplacian equation giving global effects, and through the parabolic concentration boundarylayer equations which allow a downstream influence on the ring electrode by ...
Current and concentration distributions on a rotating disk electrode are computed for general electrode reactions where the product concentrations must be included. The effect of migration on the surface concentration of the supporting electrolyte is also demonstrated.
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