Cyclic voltammetry (CV) measurements to determine the instantaneous coverage of ferrocene-labeled strands used a scan rate of 20 V s−1 from 0 V to 0.6 V or to 0.65 V, requiring approximately 0.07 s per cycle. Probe and target surface coverages, SP and ST, were calculated from the charge Q associated with oxidation of their ferrocene tags: where e = 1.60 × 10−19 C is the elementary charge, Ag is the geometric area occupied by the probe layer, and r is the measured roughness factor. QFC1 and QF2 are total charges from the oxidation FC1 → FC1+ + e− and F2 → F2+ + e−, respectively, corresponding to integration of the blue and green areas in
In AC impedance (ACI) measurements, (1) a steady bias, VDC, is imposed to set up the surface environment (e.g. distribution of mobile ions) and, (2) the charge-flow (current) response of this environment to perturbations in potential is sampled using a weak sinusoidal read-out function added to VDC. Under the experimental conditions used, the response consisted only of charging currents, with the electrochemical cell behaving as a series combination of a resistance, R, representing the electrolyte, and a differential capacitance per area, Cd, representing the probe-modified working electrode. Cd characterizes the surface organization of the probe layer and, for a series RC arrangement, is calculated from the measured out-of-phase impedance Z" using |Z"| = 1/(2πfAgrCd). f is the read-out frequency. Z" is related to experimental quantities via Z" = − VacIop/(Iip2 + Iop2) with Vac the magnitude of the imposed read-out function, and Iip and Iop the magnitudes of the measured in-phase and out-of-phase current components, respectively. A useful interpretation of Cd is as a metric of the near-surface screening of electric fields: more effective screening correlates with higher capacitance because greater charge dσ0 must be placed on the electrode to achieve a potential increment dV (see
An ACI measurement consisted of stepping the surface bias VDC from 0.25 V to - 0.2 V in 0.025 V steps, and back, with Cd determined at each step. A full Cd-loop took 1 min, and was performed once every 5 min during the course of hybridization. A read-out frequency f = 5435 Hz and ac potential magnitude of 5 mV rms were used. This frequency corresponded to a phase angle of 45 ° to 50 °, and was sufficiently low to avoid secondary capacitive charging observed in the presence of the salt bridge at high frequencies, yet high enough to minimize contributions from spurious interfacial charge transfer that become more prominent at low frequencies.