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astronomythe sunnuclear fusionstarsSeptember 9, 20265 min read

How the Sun Makes Its Energy: Fusion at the Heart of a Star

By the BrainSnail editorial team. How these articles are written and checked, and how to tell us when one is wrong.

The Sun is not on fire. Fire needs oxygen and a fuel that combines with it, and the Sun has almost no oxygen and would have burned out within a few thousand years if it did. What happens in its core is nuclear fusion, a process that turns a tiny fraction of the Sun's mass directly into energy, and it has been running steadily for about 4.6 billion years.

Why burning cannot be the answer

Nineteenth-century physicists tried to work out how long the Sun could shine if it were a huge lump of coal. The answer was a few thousand years, which was already contradicted by geology, where rock layers needed hundreds of millions of years to form. Lord Kelvin proposed that the Sun was slowly contracting under gravity and releasing heat as it shrank, which stretched the figure to tens of millions of years and still fell far short.

The missing piece arrived with Einstein's equation E = mc squared in 1905 and with the discovery, in the 1920s and 1930s, of what atomic nuclei can do to each other at enormous temperatures. Hans Bethe worked out the actual reaction sequence in 1939. The Sun was not burning or shrinking. It was converting matter into energy.

The proton-proton chain

The Sun's core is about 15 million degrees Celsius and squeezed to roughly 150 times the density of water. Under those conditions hydrogen nuclei, which are single protons, move fast enough to overcome the electrical repulsion that normally keeps them apart. When two collide closely enough, the strong nuclear force takes over and binds them.

The full sequence takes several steps, but the result is that four protons become one helium nucleus, with two positrons and two neutrinos given off along the way. The helium nucleus has about 0.7 percent less mass than the four protons that made it. That missing mass is what becomes energy, mostly as gamma-ray photons.

The numbers involved are hard to picture. Every second the Sun converts about 600 million tonnes of hydrogen into about 596 million tonnes of helium. The difference, some four million tonnes of matter, becomes energy every second. That is the Sun's entire output, and it has enough hydrogen in its core to keep going for roughly another five billion years.

Why the Sun does not explode

A hydrogen bomb releases fusion energy in a fraction of a second. The Sun releases it steadily, and the reason is a natural thermostat. The core is held in a balance between gravity pulling inward and the pressure of hot gas pushing outward, a state called hydrostatic equilibrium.

If fusion sped up, the core would heat, expand and become less dense, and fusion would slow again because fewer protons would collide. If fusion slowed, the core would cool and contract, density would rise and the rate would recover. The star regulates itself without any mechanism beyond gravity and gas pressure. This is also why the proton-proton chain is so slow at the level of individual particles: a given proton in the Sun's core waits, on average, billions of years before it fuses.

The slow journey of light

The energy is released as gamma rays in the core, but sunlight arrives at Earth as visible light. The photons are absorbed and re-emitted by the dense plasma countless times, drifting outward in a random walk that takes tens of thousands of years, with estimates ranging up to around 170,000 years depending on the model. By the time the energy reaches the surface, about 700,000 kilometres out, it has been degraded into the gentler light we see.

The neutrinos are different. They barely interact with matter at all, so they leave the core at nearly the speed of light and reach Earth about eight minutes later. Detectors buried deep underground catch a handful of them, and for decades they caught only about a third of the number predicted. The solar neutrino problem was solved in 2001 when the Sudbury Neutrino Observatory showed that neutrinos change type on the way, which confirmed both the fusion model and a surprising property of the particles themselves.

Fusion on Earth, and what the Sun will do next

Nuclear power stations use fission, splitting heavy atoms such as uranium. Fusion, joining light ones, releases more energy per kilogram and leaves far less long-lived waste, which is why experiments such as ITER in France and the National Ignition Facility in the United States are trying to sustain it. The difficulty is that on Earth there is no gravity to hold the plasma, so it must be confined by magnetic fields or compressed by lasers at temperatures ten times hotter than the Sun's core.

The Sun itself is roughly halfway through its hydrogen. When the core runs low, in about five billion years, it will contract and heat while the outer layers swell into a red giant large enough to reach Earth's orbit. Helium will then fuse into carbon and oxygen for a much shorter period, after which the Sun will shed its outer layers and settle into a white dwarf, an Earth-sized ember that will cool for trillions of years. The main sequence stage we live under is the long, quiet middle of that story. The stages, in order:

  • Main sequence: hydrogen fusing to helium in the core, about ten billion years in total
  • Red giant: core contracts, outer layers expand and cool
  • Helium burning: helium fuses to carbon and oxygen, about one hundred million years
  • Planetary nebula: outer layers drift away as a glowing shell
  • White dwarf: the exposed core, no longer fusing, slowly cooling

The takeaway

The Sun shines because fusion in its core turns four million tonnes of matter into energy every second, at a rate set by the balance between gravity and gas pressure. The light we see left the core tens of thousands of years ago, and the reaction has enough fuel to run for billions more.

Practise this

Questions from The Sun and Stars

Reading about something is not the same as being able to recall it. These are real questions from the The Sun and Stars unit in our Astronomy & Space track, answers and explanations included. The unit has 120 in total across 21 steps.

  • Multiple choiceLevel 2

    1. What does a star's apparent magnitude describe?

    • How bright it looks from Earthcorrect
    • How hot its surface is
    • How old the star is
    • How many planets it has

    Apparent magnitude is how bright a star looks from Earth, which depends on both its true brightness and its distance.

  • Multiple choiceLevel 2

    2. A blue star is generally which of these compared with a red star?

    • Hotter than a red starcorrect
    • Cooler than a red star
    • Exactly the same temperature
    • Made of ice, not gas

    A star's colour shows its temperature: blue stars are hotter, and red stars are cooler.

  • Multiple choiceLevel 2

    3. Which type of star is the most common in our galaxy?

    • Red dwarfscorrect
    • Blue supergiants
    • Yellow giants
    • White dwarfs

    Red dwarfs are small, cool, dim stars, and they make up most of the stars in the Milky Way.