The resistance for the current flow to a disk electrode in an electrochemical cell is a function of radius according to the pioneer work by Newman,(1) which results in the varying RC constant along the electrode surface. Theoretical calculations by Oldhan showed a spatial dispersion of the RC constant from zero at the edge to 2 RC at the center for the disk electrode.(2) In this work, the asynchronous transient responses at the edge and center of a gold disk electrode are monitored by in situ differential reflectance spectroscopy (DRS). The DRS spectrum collected in 10mM perchloric acid shows that the edge of the electrode achieves the equilibrium sooner than the center does in chronoamperometry.The cyclic voltammetry of the gold electrode sweeping at 1V/s in 0.1M HClO4 electrolyte and the corresponding reflectance spectrum are shown in panels A and B, Figure 1. The DRS intensity is defined asΔR/R=|Rs-Rref|/Rref whereis Rs the intensity of reflectance at any potential and Rref is the intensity of reflectance at the reference potential (0.4V). Overall, ΔR/R varies in the range of 2.5% while scanning the potential of the electrode. In the forward scan, ΔR/R decreases linearly with potential from 0.4 to 1.3V. A sharper decrease starts at 1.3V, i.e., the onset of gold oxidation, until the end of gold oxidation reaction at 1.5V in the backward scan. ΔR/R resumes back to 0 at 0.4V after the reduction of gold oxide, indicating the surface is recovered back to the initial state. ΔR/R at 1 V and 0.4V are chosen as Rs and Rref in the chronoamperometry since only the double layer charging/discharging occurs, i.e., no redox reactions, resembling a circuit of capacitor and resistor.Shown in Figure 2 is the chronoamperometry and in situ DRS of the gold electrode collected in a more resistive electrolyte, 10 mM HClO4. The RC constant of the electrode is determined to be 68 ms by fitting the i-t curve (Panel A) with the exponential function. The reflectance spectrum without any smoothing is shown in Panel B, Figure 2. The RC constant at the center (red curve) is 142 ms, which is comparable to 2RC. The RC constant at the edge (black curve) is 51 ms, much smaller than that at the center. RC constants at the edge in both 0.1M and 10mM HClO4 electrolytes are not zero because the laser covers a large area of the electrode. J. Newman, J Electrochem Soc, 113, 501 (1966).K. B. Oldham, Electrochem Commun, 6, 210 (2004). Figure 1
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