Engineering explained · BATTERY

Cold is not
what kills your battery.

Your phone dies at the bus stop in January and gets worse every winter, and the two things are not the same fault. Cold hides capacity and gives it back. Charging in the cold takes it for good. Here is the cell drawn open, the liquid the ions have to swim through with a temperature slider on it, the V that says where your charger should live, and the one rule for a frozen phone.

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01 A tiny chemical reactor, cut open 02 Cold hides capacity 03 What actually kills it 04 Ageing is V-shaped 05 A pack is not a coin cell 06 A heat balance on a reaction
01

A tiny chemical reactor, cut open.

A lithium-ion cell is a roll of five thin layers: copper foil, graphite, a porous separator, the cathode, aluminium foil, wound around a mandrel and sealed in a steel can. The whole thing is soaked in a liquid electrolyte. Below, the same cell as in the reel, cut down its length, with the cold side drawn on the left and the hot side on the right, because the two halves age by two different mechanisms.

+ minus 10 °C the cold side 55 °C the hot side
An 18650-style cell in longitudinal section. The vertical stripes are the wound layers: copper, graphite, separator, cathode, aluminium, repeating in to the centre.

To charge it, every lithium ion has to make the same trip: swim through the liquid, cross a thin skin that forms on the graphite the first time the cell is charged (the solid electrolyte interphase, SEI), and slot in between graphite layers. Intercalation is a good word for it and a better picture is a book sliding onto a shelf.

LIQUID THICK LIQUID THIN SKIN GRAPHITE the electrolyte the ions swim through like books on a shelf
Liquid, thin skin, graphite. Move the slider and watch how fast the ions cross.
mobility(T) / mobility(25 C) = exp[ (Ea / R) . ( 1/298.15 - 1/T ) ] An Arrhenius law for ion transport in a carbonate electrolyte, with an activation energy Ea of about 20 kJ/mol, which is the order of magnitude measured for LiPF6 in EC/DMC. T in kelvin, R = 8.314 J/mol/K. The exact number depends on the electrolyte; the shape does not.

Cold thickens the liquid

1.00x ion mobility, against room temperature
1.0xhow much thicker the liquid behaves
the floorwhere this temperature sits on the V

02

Cold hides capacity. It does not take it.

At minus 10 the ions crawl, so the cell cannot deliver current fast enough to hold its voltage up, and your phone reads the sagging voltage as nearly empty. In one standard cell the capacity you could pull at minus 10 C was 13 percent of what it gives at room temperature. Warm the same cell up and the capacity comes right back. Nothing died.

100% 13% 100% 13% of its capacity at minus 10 °C it all comes back when it warms up -10 °C +22 °C
13 percent at minus 10 C for one standard cell, and all of it back when it warms. Low-temperature lithium-ion review, 2022.

So the cold-weather phone rule is not about cold at all. Keep it warm if you can, and if it dies, it is not dead. The rule that matters is the next one.

03

What actually kills it: charging in the cold.

Graphite sits at only 0.05 to 0.2 volts above lithium metal. Push ions at cold graphite faster than they can slot in and the anode voltage dips below zero volts against lithium, and at that point the ions stop being ions. They deposit on the surface as lithium metal: a fuzz that never comes back into the graphite, and that can grow into a short.

minus 10 °C COLD GRAPHITE THIN SKIN (SEI) LIQUID SEPARATOR CATHODE COPPER PUSHED IN FASTERTHAN THEY CAN SLOT IN LITHIUM METAL a fuzz that never comes back SHORT
The negative electrode at minus 10 C, fast charging: ions pile up at the skin, lithium metal plates on the surface, and a dendrite reaches the separator.
The one rule for a frozen phone. Do not fast-charge it below zero. Let it warm in a pocket first, then charge. An electric car does the same thing on its own: it heats the pack before it lets the charger push.

Every plated ion is capacity the cell never gets back, and the deposit is rough, so the next charge plates a little more on it. That is why fast-charging a frozen phone is spending its life rather than borrowing from it.

04

Ageing is V-shaped.

Heat does the slow version. When the cell is warm, the skin on the graphite keeps growing, and every extra layer locks lithium away for good. So there are two mechanisms pulling in opposite directions: plating on the cold side, skin growth on the warm side, and a floor between them where the cell ages slowest.

-20 -10 0 5 20 35 50 60 cell temperature, °C ageing rate +5 °C slow charge +35 °C fast charge PLATING SKIN GROWTH worse on both sides
Ageing rate against cell temperature. Charged slowly (0.2C) the floor sits near +5 C; charged fast (1C) it moves to about +35 C, because fast charging is what makes plating bite. Journal of the Electrochemical Society ageing map.
55 °C WARM GRAPHITE THIN SKIN (SEI) LIQUID SEPARATOR CATHODE COPPER EVERY LAYER LOCKSLITHIUM AWAY FOR GOOD SEI the skin, one more layer LITHIUM STILL FREE
The warm side of the same electrode: the skin thickens layer by layer, and the lithium that built each layer is out of play.

The number that surprised me most is inside one cell. A single pouch cell with one end three degrees warmer than the other aged about three times faster than a cell held uniform, and cooling it at the tabs, where the current enters, beat cooling it across the surface.

- + warm end cool end 3 °C end to end AGEING x3 COOL THE SURFACE COOL THE TABS
Three degrees end to end, ageing about three times faster. Cool the tabs, not the surface.
05

A pack is not a coin cell.

In a cold test of five electric cars, cabin heat on, the cars lost 41 percent of their range at 20 F (minus 7 C). Heat off, 12 percent. The heater is most of the loss; the cold chemistry is the rest.

BATTERY PACK RANGE, HEATER ON 100% 59% RANGE, HEATER OFF 100% 88% at minus 7 °C, five cars, one test
Range at minus 7 C against a 24 C baseline: 59 percent with the heater on, 88 percent with it off. AAA, 2019.

A coin cell in a lab holds one temperature across its entire body. A pack in a car does not: cells in the middle run warm, cells at the edge run cold, and the coldest cell in the pack is the one that plates. Which is why the cooling system is designed for the gradient, usually to hold every cell inside 15 to 35 C, and not for the average.

+ COIN CELL one temperature, edge to edge THE PACK IN THE CAR warm in the middle, cold at the edge THE ONE THAT PLATES
Twelve cells in a tray, one cold corner. The pack ages at the rate of its worst cell.
06

A heat balance stitched onto a reaction model.

Everything above is one model with two halves. A heat balance says what temperature each cell reaches: heat generated by the current, heat carried away by the coolant, heat conducted to its neighbours. A reaction model says what that temperature does: an Arrhenius rate for the skin growth, and a plating condition on the anode voltage. The temperature the first half produces is the temperature the second half needs.

HEAT BALANCE m cp dT/dt =q gen + q in - q outheat from the reaction,minus what the coolant takes REACTION MODEL rate = A exp(-Ea / R T)plating when the anodevoltage dips below zeroat that T STITCHED ON ONE TEMPERATURE
Two sheets, one variable. The coupled electrochemical-thermal model is what a pack designer actually runs.

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Sources: 13 percent at minus 10 C, graphite at 0.05 to 0.2 V against lithium and plating below 0 V from the 2022 low-temperature lithium-ion review; the V-shaped ageing map with minima near +5 C at 0.2C and +35 C at 1C from the Journal of the Electrochemical Society; the 3 C gradient and tab cooling from this pouch-cell study; 41 and 12 percent range loss from AAA, 2019; the coupled model and the 15 to 35 C window from this electrochemical-thermal modelling paper. Cold does not kill a battery permanently, and ageing does not double every ten degrees; both are popular and both are wrong.

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