Ion diffusion in channels containing random arrays of microspheres: an electrochemical time-of-flight method

Rates of chloride ion diffusion in narrow (ca. 3 microm thick), rectangular (ca. 0.1 x 1.0 mm(2)) channels partially filled with polystyrene microspheres are investigated by a potentiometric electrochemical time-of-flight (P-ETOF) method. Lithographically fabricated on glass slides, P-ETOF devices consist of a centrally positioned 10 microm wide, ca. 1 mm long generator microelectrode and two sensor microelectrodes of the same dimensions symmetrically positioned on both side of the generator at a distance of 50 microm. The electrodes are silver-plated and partially oxidized in a chloride electrolyte to form Ag/AgCl deposits. Constant current reduction of AgCl on the generator electrode is used to produce chloride ions at a constant rate. Ag/AgCl deposited on the sensor microelectrodes allows time-dependent potentiometric monitoring of the increasing concentration of chloride ions diffusing across the interelectrode gap. The device is enclosed with a parallel glass plate to form a narrow channel with the polystyrene microbeads serving as spacers. The packing density of the microspheres expressed in terms of the fractional void volume (rho) varied from ca. 0.6 to 1.0. Using rho, we modified a diffusion equation describing the change of chloride ion concentration at the sensor microelectrode to include the effect of the microspheres restricting the void volume. We rely on digital simulations as well as on direct P-ETOF experiments to show that the proposed equation does accurately account for the effect of rho on the diffusion processes. We thus demonstrate that P-ETOF can be used to measure the number of identical microspheres in the active region of a narrow channel device. In the latter context, a future application of P-ETOF as a signal transduction mechanism in biosensors is outlined.