Cyclic Voltammetry Explained: The Duck-Shaped Voltammogram

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ΔEp ≈ 59 mV — reversible one-electron process

At 100 mV/s with 5 mM analyte, the voltammogram shows the classic duck-shaped curve with peak separation near 59 mV, characteristic of a reversible one-electron redox process.

Formula

ip = 0.4463 × n^(3/2) × F^(3/2) × A × C × (Dν / RT)^(1/2)
ΔEp = 59 mV / n (for reversible process at 25°C)
E½ = (Epa + Epc) / 2 ≈ E°′

Electrochemistry's Signature Technique

Cyclic voltammetry is arguably the most widely used electroanalytical method. By sweeping the electrode potential back and forth while measuring current, it produces a characteristic voltammogram that encodes a wealth of information about redox processes, reaction kinetics, and diffusion behavior. Electrochemists often say: 'When in doubt, run a CV first.'

Anatomy of a Voltammogram

The forward sweep oxidizes (or reduces) the analyte at the electrode surface. Current rises as the potential approaches the formal potential E°′, reaches a peak when the surface concentration is momentarily depleted, then falls as the diffusion layer thickens. The reverse sweep reverses the reaction, producing a mirror-image peak. The positions, heights, and shapes of these peaks reveal the thermodynamics and kinetics of the redox process.

Reversibility and Scan Rate

A fully reversible redox couple shows a peak separation of exactly 59/n mV at 25°C, independent of scan rate. As the scan rate increases, sluggish electron transfer causes the peaks to spread apart — the system transitions from reversible to quasi-reversible to irreversible. Plotting peak separation versus scan rate is a standard diagnostic for measuring electron transfer rate constants.

Applications Across Science

CV is used everywhere: characterizing battery electrode materials, studying enzyme redox centers, detecting heavy metals in water, investigating corrosion mechanisms, and screening electrocatalysts for fuel cells and CO₂ reduction. Its simplicity, speed, and richness of information make it indispensable in research and quality control alike.

FAQ

What is cyclic voltammetry?

Cyclic voltammetry (CV) is an electrochemical technique where the electrode potential is swept linearly from an initial value to a vertex potential and back, while measuring the resulting current. The current-voltage plot (voltammogram) reveals redox potentials, reaction reversibility, and diffusion characteristics of electroactive species.

Why is the CV curve duck-shaped?

The asymmetric shape arises because current depends on both the electron transfer rate and diffusion. On the forward sweep, current rises as the potential approaches E°, peaks when the surface concentration is depleted, then falls as diffusion becomes limiting. The reverse sweep mirrors this process for the opposite reaction.

What does peak separation tell us?

For a reversible one-electron process at 25°C, the separation between anodic and cathodic peaks is ideally 59 mV. Larger separations indicate quasi-reversible or irreversible kinetics, where the electron transfer rate constant is too slow to maintain equilibrium at the electrode surface.

What is the Randles-Sevcik equation?

The Randles-Sevcik equation predicts peak current for a reversible CV: ip = 0.4463 × nF × A × C × (nFDv/RT)^0.5. It shows that peak current is proportional to concentration and to the square root of scan rate — a key diagnostic for diffusion-controlled processes.

Sources

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