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The Sun's core is 15 million °C and fuses by quantum tunnelling

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The Sun's core is 15 million °C and fuses by quantum tunnelling

At about 15 million °C the Sun's core is its hottest part, yet by classical physics too few protons could fuse. Quantum tunnelling fills the gap.

Verified · NASA Science

The Sun’s core is about 15 million °C (27 million °F), the hottest part of the Sun, and it is where hydrogen fuses into helium to power everything the Sun emits. Its matter is squeezed to about 150 grams per cubic centimetre, roughly eight times the density of gold.

Most summaries stop there, but by the rules of classical physics 15 million degrees is not enough. Hydrogen nuclei are positively charged and repel each other, and at the core’s temperature too few protons have the energy to get close enough to fuse. The Sun keeps shining because of quantum tunnelling: there is a small chance that a proton slips through that electrical barrier instead of climbing over it. With an enormous number of protons in the core, those unlikely events happen constantly. Without tunnelling, fusion in the Sun and other stars would not be sustainable.

The output is still vast. Every second the Sun turns about 600 million tonnes of hydrogen into 596 million tonnes of helium; the missing 4 million tonnes is released as energy, following Einstein’s E=mc².

For scale, here is how the core compares with the layers above it:

LayerTemperature
Core15 million °C
Corona (outer atmosphere)about 2 million °C
Photosphere (visible surface)5,500 °C

The corona being hotter than the surface is one of the Sun’s unsolved puzzles, but even it reaches only a fraction of the core.

The energy is also slow to leave. In the radiative zone above the core, the plasma is so dense that photons travel only a few millimetres before being absorbed and re-emitted in a random direction. Energy takes around 170,000 years to work its way out to the convection zone, so the energy in today’s sunlight was released by fusion many thousands of years ago.

15M°C
core temperature
150 g/cm³
core density
170,000
years for energy to escape

Sources & references

5 references

Well-established. Corroborated by 5 independent sources.

1 NASA Science Space agency The core is the hottest part of the Sun. Nuclear reactions here – where hydrogen is fused to form helium – power the Sun’s heat and light. Temperatures top 27 million °F (15 million °C) and it’s about 86,000 miles (138,000 kilometers) thick. The density of the Sun’s core is about 150 grams per cubic centimeter (g/cm³). science.nasa.gov ↗
2 University of North Georgia university course notes The fusion reactions in the Sun and other stars would not be sustainable if not for a quantum mechanical process known as "quantum tunneling". faculty.ung.edu ↗
3 European Space Agency government In the Sun, for example, 600 million tons of hydrogen are converted into 596 million tons of helium every second. The missing 4 million tons of matter is released as energy in accordance with Einstein's equation E=mc 2 . sci.esa.int ↗
4 European Space Agency Space agency It takes photons around 170 000 years to pass through the radiative zone: The photons travel at the speed of light, but can travel only a few millimetres at a time before they are absorbed by an atom and then re-emitted in any direction. esa.int ↗
5 Royal Museums Greenwich institution The Sun’s diameter is 100 times that of Earth’s but its mass is 300,000 times greater and it is 15,000,000°C at its core. rmg.co.uk ↗
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