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The electrode-electrolyte interface

What happens where metal meets salty skin. Half-cell potentials, why silver chloride is stable, why impedance depends on frequency, and why gel takes half an hour and dry electrodes are a compromise.

AssumesProject C: Make your own electrodesSpineAnalog / mixed-signal hardwareMaterials / microfabrication

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You made electrodes and measured their impedance, and you found that a dry electrode looks fine at a kilohertz and terrible at ten hertz, and that a bare silver wire drifts while a chlorided one holds still. Both facts come from the same few millimetres: the boundary where electrons in metal must become ions in fluid. Let’s look at that boundary.

The interface as a circuit
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Figure 1. The circuit model from the project: a series resistance for gel and sweat, in series with the skin's resistance and capacitance in parallel. The curves are what you measured.

Electrons do not swim

Current in a wire is electrons. Current in tissue is ions: sodium, chloride, potassium. At the surface one has to become the other, and that happens by chemistry. Either a metal atom gives up an electron and enters solution as an ion, or an ion in solution takes an electron and plates onto the metal, or, if neither reaction is available, charge simply piles up on both sides of the boundary like a capacitor and nothing crosses.

Every metal-electrolyte boundary settles at some voltage, the , where the forward and reverse reactions balance. For silver in chloride solution it is about 0.22 volts. Two electrodes of the same metal in the same solution have the same half-cell potential and the difference is zero, which is the only reason you can measure microvolts between them. Let one electrode’s chemistry wander and the difference wanders with it, by millivolts, which is what you saw as drift.

Why silver chloride

Bare silver in saline has a slow, poorly defined reaction; its potential depends on trace impurities and drifts. Silver coated with silver chloride has a fast, reversible reaction (silver plus chloride to silver chloride and back) with a potential set almost entirely by the chloride concentration, which in gel and tissue is stable. So electrodes have a stable half-cell potential, low noise, and low impedance at low frequency, because current can actually cross the boundary by the reaction rather than only charging a capacitor. This is why they have been the standard for a century and why you chlorided the wire.

Gold and stainless steel have no convenient reversible reaction. They are “polarizable”: charge piles up and the boundary behaves as a capacitor. That is fine at high frequency and bad at low frequency, which is exactly the shape of the dry-electrode curve in Figure 1.

Why impedance falls with frequency

The boundary is, electrically, a capacitor (the double layer of charge) in parallel with a resistor (the reaction path), in series with the resistance of the gel and the fluid. Skin adds its own layer: the stratum corneum, the dead outer layer, is a poor conductor and behaves as a large resistor in parallel with a capacitor. At high frequency the capacitors carry the current and the impedance is low; at low frequency the current has to go through the resistors and the impedance is high. EEG lives at low frequency. That is why gel, which soaks the stratum corneum and shorts out part of that resistance, matters so much, and why abrading the skin, which removes the dead layer, drops the impedance by a factor of ten.

Predict before you look

Two electrodes: one with gel on unprepared skin, one dry. Which is noisier, and by how much?

The dry one, by a lot, and worst at low frequency. Thermal noise is proportional to the square root of the resistance, and the dry electrode’s low-frequency resistance is ten to a hundred times higher. On top of that the dry contact is unstable, so pressure and motion modulate the impedance and turn into voltage noise. The noise explainer puts numbers on it.

Why the gel takes half an hour

Fresh gel on skin needs time for the electrolyte to penetrate the stratum corneum and for the half-cell potentials to settle. A clinical technologist applies electrodes, checks impedances, waits, re-checks. Recordings that start too early show slow drifts for the first minutes as the chemistry equilibrates. That drift is the electrode, not the brain, and now you know why.

Deep dive The double layer, and why the capacitance is enormous 3 min

When metal meets electrolyte, ions of the opposite charge crowd against the surface within a nanometre or so, forming a capacitor whose plates are a few atoms apart. That gives a capacitance of tens of microfarads per square centimetre, enormous for its size. It is what makes even a polarizable electrode usable at frequencies above a few hertz, and it is what stimulation engineers exploit and fear: charge injected through this capacitor is safe until the voltage across it exceeds the point where water itself starts to electrolyze. Phase 6’s stimulation safety is about that point.

Deep dive Motion artifact is an impedance problem 3 min

Move an electrode and two things change: the double layer is disturbed (the charge distribution reshuffles, producing a transient voltage) and the skin’s stratum corneum is stretched (changing its potential, the “skin potential artifact”). Both produce large, slow deflections. Gel reduces the first by stabilizing the chemistry; abrasion reduces the second by removing the layer that generates it. Dry electrodes suffer from both, which is why consumer headsets are so sensitive to movement and why the active electrode helps only with the cable, not the contact.

Recall
What is a half-cell potential and why does it matter that two electrodes have the same one?
The voltage at which a metal-electrolyte boundary's forward and reverse reactions balance. Two identical electrodes have identical half-cell potentials, so their difference is zero and microvolts can be measured; if one drifts, the difference drifts by millivolts.
Recall
Why is Ag/AgCl low-noise and low-drift where gold is not?
Silver chloride supports a fast, reversible reaction whose potential is set by the stable chloride concentration, so current crosses the boundary and the potential holds. Gold has no convenient reaction, behaves as a capacitor, and is poor at low frequencies.
Recall
Why does gel matter more for EEG than for EMG?
EEG lives at low frequencies where the stratum corneum's resistance dominates the impedance; gel soaks and shorts part of it. EMG's higher frequencies pass through the skin's capacitance regardless.
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