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Steady-state UME theory · Zoski–Mirkin (2002) · RG-corrected limiting current
Solving for r
r = π · Ilim / (X · n · F · D · C)
Sheath Ratio RG = rglass / relectrode
X = 4.0794
RG 1.1RG 10.0
X is linearly interpolated from the Zoski–Mirkin (2002) table (RG 1.1–10.0).
At large RG the classical form Ilim = 4nFDCr is recovered.
Redox Species
nA
—
cm²/s
mM
Results
Radius
—
nm
Radius
—
µm
Radius
—
mm
Disk Area
—
µm²
Formula
σ = √(2 · D · t)
Redox Species
cm²/s
s
Results
σ (Diffusion Layer)
—
µm
σ
—
nm
σ
—
cm
Formula
tdif = r² / (2 · D)
Redox Species
µm
cm²/s
Results
tdif
—
s
tdif
—
ms
tdif
—
µs