Where does the energy output of the Sun come from?

Matter is made of atoms

The Sun is made of atoms too. Mostly they are ionized, so we should think of the Sun as being made of nuclei and electrons. But what kind of nuclei?

We can find out by analyzing sunlight, as we will see shortly.

The result

The middle of the Sun is a very hot gas. It is ionized: all of the electrons have been ripped away from the nuclei because it is so hot. The nuclei available are mostly 1H, quite a lot of 4He, and a few 2H and 3He. (There are a few other types, but they are not so important for us.)

What is happening in the middle of the Sun is analogous to burning methane:

C H4 + 2 O2 --> C O2 + 2 H2 O
In this reaction, the final molecules have less internal energy than the starting molecules. Since energy is conserved, the extra energy is released as energy of motion of the molecules. That is the gas gets hotter. The amount of energy involved is 5.5 eV each time the reaction above happens.

As we have seen, much more energy than that must be involved in the reactions inside the Sun and other stars. The evidence is strong that the overall reaction is "burning" hydrogen to make helium:

4 1H + 2 e --> 4He + 2 neutrinos + 6 photons

The high energy photons produced by the nuclear process don't get far. They are absorbed and heat the gas. The helium remains in the middle of the Sun. The neutrinos easily zip out of the Sun. (Neutrinos easily zip through most anything, reacting with matter only rarely.)

In this reaction, the final particles have less internal energy than the starting particles. Since energy is conserved, the extra energy is released as energy of motion of the nuclei and electrons in the solar gas, the production of lots of low energy photons and, finally, the energy of the neutrinos, which just zip right out of the Sun. That is the gas gets hotter and has lots of photons (and neutrinos). The amount of energy involved is 26 MeV = 26 x 106 eV each time the reaction above happens.

Why do we think that this is what goes on?

The reaction as given above is a summary. Really the reaction occurs in several steps.

The Sun is typical of stars. The evidence indicates that this happens in the middle of all stars, giving them the energy to make starlight.

Davison E. Soper, Institute of Theoretical Science, University of Oregon, Eugene OR 97403 USA soper@bovine.uoregon.edu