AP® Physics 2: Algebra-Based · Unit 15 · Topic 15.7
Nuclear Fusion
Fusion joins light nuclei into a heavier one, releasing energy because the product is more tightly bound per nucleon than the pieces that made it.
Two protons both carry positive charge, so they repel each other hard. To fuse, they need to get close enough for the strong nuclear force to take over, a distance far smaller than the reach of electric repulsion. The only way to force that approach is speed: heat the nuclei until their thermal kinetic energy is big enough to punch through most of the Coulomb barrier. That is why the Sun's core sits near 15 million kelvin. A higher nuclear charge means a bigger barrier, which is why fusing heavier elements demands even hotter, denser cores.
Inside the Sun, the proton-proton chain does the work. Two protons fuse into a deuteron, releasing a positron and a neutrino as one proton converts to a neutron. The deuteron then fuses with another proton to make helium-3, releasing a gamma ray. Finally two helium-3 nuclei fuse into helium-4, spitting out two leftover protons. The helium-4 product has less mass than the four original protons combined, and that missing mass becomes the energy radiated as sunlight, through E = mc2.
This only pays off while nuclei are light. The binding-energy-per-nucleon curve climbs steeply from hydrogen up to iron, then slowly falls for heavier elements. Fusing light nuclei moves nucleons up that rising slope toward iron's peak, releasing energy. Fission of heavy nuclei moves nucleons up the falling side toward that same peak. Iron sits at the top, so fusing it further would mean sliding back down the curve, which costs energy instead of releasing it. That is why stars build elements up to iron and stop.
Key terms
- Coulomb barrier
- The electric repulsion between two positively charged nuclei that must be overcome for them to fuse.
- Binding energy per nucleon
- The average energy holding each nucleon in a nucleus, highest for iron among common nuclei.
- Proton-proton chain
- The sequence of fusion reactions converting hydrogen into helium in stars like the Sun.
- Mass defect
- The difference between the mass of separate nucleons and the mass of the nucleus they form, converted to energy.
Watch it explained
- How it worksHow does the electric repulsion between two nuclei set the temperature a fusion reactor needs?
- How it worksWalk me through the proton-proton chain that turns hydrogen into helium inside the Sun.
- Common mistakeWhy isn't fusion of iron into heavier elements a source of energy for a star?
- Ties togetherHow does the binding energy curve explain why fission and fusion sit on opposite ends of it?
Check yourself
End of topic.