“…For proof-of-concept and to identify a suitable range of applied potentials, SERS was conducted with 1 μM 5(6)-FAM using CA-SAM substrates and peak intensities were recorded over time with potentials ranging from +100 to +500 mV corresponding to electric field strengths ( E = V ( dK ) −1 where K = εε 0 is the dielectric constant for water) of approximately 36–179 V m –1 . At these field strengths, the calculated limiting velocity ( v ) range for 5(6)-FAM is 0.6–3.1 μm s –1 based on Stokes Law, v = z e E (6πη r ) −1 , where z is the number of charges (1 at pH 7), e is the elemental electron charge, η is viscosity (1 mPa·s for water at 20 °C), and r is the Stokes radius (0.49 nm) based on the estimated diffusion coefficient, D , for 5-FAM (4.2 × 10 –10 m 2 s –1 ) . Setting the characteristic length, L , equal to the mean gap between the electrodes, the Peclet number ( Pe L = LvD –1 ) ranged from 4.2 to 20.7.…”