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Batteries.

A phone battery runs all day and refills overnight. Open a lithium-ion cell and follow the lithium that carries its charge back and forth.

Explore the scene Interactive article

01 / The experiment

Two paths, one circuit.

Swing the current from charging to discharging, change the charge level, then look inside to follow the ions and the electrons.

Still of the Batteries 3D scene, which explores: When a battery runs flat, where has its charge gone?
Interactive scene

Loading the interactive version…

The explanation below is available while the scene loads.

A 3.0 Ah lithium-ion cell with 0.05 Ω of internal resistance. 1 C is the current that would empty it in an hour, 3 A here. The meter on the cap reads the voltage at the terminals, the cell's resting voltage minus current × resistance.Inside, one thin slice of the cell is magnified enormously. The graphite's sheets, the oxide's layers and the ions are drawn far apart and far fewer than in a real cell, the electrolyte's negative ions are left out, and the motion is slowed. Each setting is a moment at a fixed charge level; a real cell's level would change while current flows.

02 / Three states

Ions inside, electrons outside.

The same cell, half full, three ways. Neither path works without the other.

Phone in use01
−+

Discharging

Lithium leaves the graphite and crosses to the oxide. Its electrons take the outside path and do work in the load on the way.

Lithium ions
Graphite → oxide
Electrons
Out of − through the load
Terminal voltage
Below resting
In a drawer02
−+

At rest

With the outside path open, no electron can leave, so no ion can cross either. The cell keeps its charge for months.

Lithium ions
Stay put
Electrons
No path
Terminal voltage
Resting voltage
On the charger03
−+

Charging

A slightly higher voltage drives electrons into the graphite, and lithium crosses back to meet them, stored where it would rather not be.

Lithium ions
Oxide → graphite
Electrons
Into − from the charger
Terminal voltage
Above resting
The big idea

A battery stores lithium on the uncomfortable side. Letting it cross back gives out energy, but only if its electrons go round the outside.

V = V₀ − I·R

What a battery holds

A battery does not hold electricity the way a bucket holds water. It holds chemicals that would like to react, and keeps them apart so that the reaction can only happen if electrons take the long way round, through whatever you have plugged in. Nothing is used up in the sense of disappearing. The same atoms are inside a flat battery as a full one; they have simply moved.

Lithium with two homes

In a lithium-ion cell the thing that moves is lithium, and it has two places to live. One is graphite, the layered carbon in pencil lead, spread on a thin copper foil. Lithium atoms can slip in between its sheets. The other is a metal oxide, a layered crystal of lithium, oxygen and metals such as nickel, cobalt or manganese, spread on aluminium foil. Lithium can sit between its layers too.

A thin plastic separator keeps the two apart. It is full of tiny pores soaked in electrolyte, a liquid that lets lithium ions through but not electrons.

Lithium is much more comfortable in the oxide than in the graphite, the way a ball is more comfortable at the bottom of a hill. A charged cell has most of its movable lithium pushed up into the graphite. The difference in comfort shows up as the cell’s voltage: about 4.2 volts when full, easing down through 3.7 and falling towards 3 volts as the graphite runs out of lithium to give.

Discharging: two paths

Close the bulb’s switch and lithium in the graphite gives up an electron and leaves as a positive ion. The ion crosses the electrolyte to the oxide. The electron cannot follow it, because the separator blocks electrons, so it leaves through the copper foil, runs round the wire and through the bulb, and comes back in through the aluminium foil to meet its ion again in the oxide.

Ions inside, electrons outside: the two paths together make one closed loop. If either is broken, both stop, which is why a battery on a shelf keeps its charge.

Try it: set Current to 2 C and choose Ions under Zoom to the ions. Then slide Current down to −1 C and watch the ions in the electrolyte turn round, while the electrons switch to the charger’s loop.

Back to the experiment

Charging: back up the hill

A charger runs the same reaction backwards. Its voltage is set a little higher than the cell’s, so it can push electrons into the graphite through the copper foil and pull them out of the oxide. Lithium ions leave the oxide and cross back through the electrolyte to meet them. The energy the charger spends is stored as lithium held where it would rather not be.

Current and voltage

Battery currents are often counted in C: 1 C is the current that would empty the cell in one hour, 3 amps for this cell. Hard use at 2 C empties it in half an hour.

The meter shows the voltage dropping when current flows out and rising when the charger pushes current in. That is the cell’s internal resistance. Pushing ions through the electrolyte and electrons through the foils takes some of the voltage, and that share becomes heat inside the cell. At 2 C this cell gives about 0.3 volts less than at rest, which is part of why a phone warms while it charges fast.

What this model leaves out

The scene magnifies a single slice of a cell. A real electrode is a coating of tiny grains held together with binder, not one tidy crystal, and a real cell is a long sandwich of these layers rolled or stacked many times over. The ions and atomic layers are drawn far apart and far too few.

The electrolyte carries negative ions as well as lithium ions; they are not drawn. The resting voltage follows a typical curve for graphite and nickel-rich oxide cells, and the internal resistance is a fixed number, though in reality it grows in the cold and as the cell ages.

Real cells also wear out. Each cycle traps a little lithium in a thin film on the graphite, so the cell holds slightly less. Real chargers slow down as the cell nears full, and a protection circuit stops a cell from being run completely flat; the scene’s charge level stops at 5 and 95 percent instead.

Reuse with credit to ViewWiki and a link to this page.

04 / Learn this in a course

Practise it, step by step.

This lesson teaches the topic with checked questions.

  1. Batteries and electrolysis Chemistry · Redox and electrochemistry