TLDR: dQ/dV doesn't interrogate your cell or demand a confession. It just looks closer at the answers your cell already gave you during a normal cycling test.

Differentiate the V vs. Q data you already collected, and the chemistry hiding inside a flat plateau jumps out as a sharp, traceable peak. No teardown, no new equipment, no drama. So fetch.

Incremental capacity analysis (ICA), better known by its equation name dQ/dV, is one of those techniques that feels like it should require something fancier than what it actually does. 

It gives you a fingerprint of the different electrochemical reactions happening in the cell, and a way to watch those reactions evolve, degrade, or vanish over hundreds of cycles.

Advantages:

  • Accessible: derived from galvanostatic cycling data, no fancy equipment

  • Noninvasive: no need to break apart your cell

  • Flexible: applicable to both half and full cell configurations

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What is dQ/dV Analysis?

During galvanostatic cycling, current is held constant and the voltage response is measured. Plotting capacity against voltage produces a profile that's either S-shaped or with flat plateaus, depending on the cell chemistry. The problem: small but meaningful changes in that curve are genuinely hard to see by eye. A plateau that's losing a little capacity each cycle just looks like... a slightly shorter plateau.

We can take the capacity (Q) and differentiate it with respect to voltage (V), then plot dQ/dV against V. Small plateaus become distinct peaks that are easier to visualize. Subtle shifts that were invisible in the raw curve are suddenly obvious and easy to track across cycles.

Figure 1. An example Q vs. V plot and the resulting dQ/dV curve after differentiating.

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