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Nuclear fusion.

The Sun shines by fusing light nuclei at 15 million kelvin. To fuse on Earth we need ten times hotter. Heat a plasma and see why.

Explore the scene Interactive article

01 / The experiment

Hot enough to touch.

Change the temperature and the fuel density, then cut the machine open to watch deuterium and tritium fuse.

Still of the Nuclear fusion 3D scene, which explores: If the Sun's core is only 15 million degrees, why do fusion machines on Earth need 100 million?
Interactive scene

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The explanation below is available while the scene loads.

The fusion rate follows the measured deuterium–tritium reaction rate at each temperature, scaled so the hottest plasmas fuse a few times a second.Nuclei are hugely enlarged and slowed, the plasma is far thinner and the machine far smaller than real ones, and burned fuel is quietly replaced.

02 / Three furnaces

Heat, squeeze, hold.

Every route to fusion needs nuclei hot, close together and held there long enough.

Our nearest star01

The Sun's core

Gravity squeezes the core to over a hundred times the density of water and keeps it there for billions of years, so it can fuse slowly and still shine.

Temperature
About 15 million K
Held by
Its own gravity
Fuel
Ordinary hydrogen
Magnetic fusion experiments02

Tokamak

A thin plasma loops around a ring, kept off the walls by magnets. With no gravity to help, it has to be about ten times hotter than the Sun.

Temperature
100–150 million K
Held by
Magnetic fields
Fuel
Deuterium and tritium
Inertial fusion experiments03

Laser fusion

Lasers crush a tiny fuel capsule so fast that it fuses before it can fly apart, all within billionths of a second.

Temperature
Over 100 million K
Held by
Its own inertia
Fuel
Deuterium and tritium
The big idea

Nuclei repel each other, so they fuse only when they are hot enough to come within a nucleus-width, often by tunnelling the last stretch. Each D–T fusion releases 17.6 MeV.

D + T → ⁴He + n

Squeezing nuclei together

Deep inside the Sun, hydrogen nuclei join to make helium, and a little of their mass becomes the energy that reaches us as sunlight. Fusion is the opposite of fission: instead of splitting heavy nuclei, it joins light ones.

The trouble is getting them to touch. Every nucleus carries positive charge, and like charges repel. The closer two nuclei come, the harder they push apart. Only when they are about the width of a nucleus apart does the strong force take over and pull them together, and that is a very small target behind a very steep wall.

Heat is speed

The only practical way to drive nuclei at each other is to make them hot. Temperature is the speed of jiggling particles: at millions of degrees, atoms lose their electrons and become a plasma, a gas of bare nuclei and free electrons, all racing about. The hotter it is, the faster they go and the closer they can come before their charges turn them away.

Try it: drag Temperature down to Sun’s core and watch the nuclei veer away from each other with almost nothing fusing. Then choose Tokamak and choose Plasma under Cut into the plasma to see the flashes.

Back to the experiment

Tunnelling through the wall

Even at 100 million kelvin, a typical nucleus has only a few per cent of the energy needed to climb the electric wall. Fusion still happens for two reasons. A few nuclei in any plasma move much faster than average. And at this tiny scale particles behave partly like waves, so there is a small chance that a nucleus tunnels through the wall rather than going over it. Both effects grow steeply with temperature. In the scene, cooling the plasma from 150 to 15 million kelvin makes fusion nearly seven thousand times rarer.

Why the Sun gets away with less

The Sun’s core is only about 15 million kelvin, yet it fuses around 600 million tonnes of hydrogen every second. It wins by size and by gravity: its own weight squeezes the core to more than a hundred times the density of water, holds it there for billions of years, and gives it an almost unimaginable number of nuclei. Each one waits on average billions of years to fuse, but there are so many that the total is huge.

On Earth we have no such gravity, a plasma far thinner than air and only seconds to work with, so we make up for it with heat. Fusion machines aim for 100 to 150 million kelvin, around ten times hotter than the centre of the Sun. They also use the easiest fuel: deuterium and tritium, two heavy forms of hydrogen. They fuse into helium-4 and a fast neutron, releasing 17.6 million electronvolts each time; the neutron carries 14.1 of them.

Holding a star in a bottle

Nothing solid can touch a plasma that hot, so a tokamak holds it with magnetism. Coils wrapped around a doughnut-shaped chamber make a magnetic field that charged particles cannot easily cross, so the plasma loops around the ring without reaching the walls. The helium nuclei, which are charged, stay in the plasma and help keep it hot. The neutron has no charge, so the field cannot hold it; it flies straight into the walls, where its energy can be collected as heat. Doubling the Fuel density raises the fusion rate four times: each deuterium nucleus has twice as many tritium partners.

What this model leaves out

The scene’s fusion rate rises with temperature by the measured deuterium–tritium rate, but it is slowed and scaled to be watchable, and the nuclei are enormous compared with the gaps between them. A real plasma loses heat constantly, and keeping it hot, dense and confined long enough to produce more energy than it takes is the central challenge; no power station runs on fusion yet. The Sun mostly fuses ordinary hydrogen through a slower chain of steps, not deuterium with tritium.

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04 / Learn this in a course

Practise it, step by step.

This lesson teaches the topic with checked questions.

  1. Nuclear fusion Physics · The nucleus