POLAROGRAPHIC KINETIC CURRENTS FOR FIRST-ORDER PRECEDING AND REGENERATION REACTIONS AT SPHERICAL ELECTRODES

The linear integral equation which arises in treating the first-order preceding reaction mechanism in spherical geometry for large potential-step electrochemical experiments in the limiting current region is solved by a numerical method. The exact analogy between this mechanism and the first-order fractional regeneration mechanism is demonstrated. Numerically generated data are fitted to a Chebyshev polynomial for efficient tabulation of results. Tabulated Chebyshev coefficients and special forms of analytical solutions permit rapid generation of working curves for both of the mechanisms considered, even on a small laboratory computer. The analytical solution for the first-order, one-half regeneration mechanism in spherical geometry is presented. © 1969, American Chemical Society. All rights reserved.