The protons combine, most of the time when the protons meet each other, they'll just bounce off, but every once in a while, they'll combine with each other to form deuterium, which is a hydrogen nuclei still, but now it's got one proton and one neutron.
So the protons are meeting each other very often, and even though these reactions are fairly unlikely to take place, because it's happening so frequently, we create around about 10 to the 12 kilograms of deuterium each second in the sun.
So when it does happen, we have the helium-3 plus the other helium-3, these combine to create helium-4, so an alpha particle with two protons and two neutrons, and then we also get two protons given off in this process.
So in the entire cycle, we require four protons, we also require two electrons, and these combine to give us helium-4, and then we also get two electron neutrinos and six gamma-rays given off.
At that point, the concentration of protons in the sun's core will be slightly lower, and so we won't have this first step in the reaction taking place quite as frequently.
Now that we are about a billion years into the history of the universe, we can see a panorama of stars swirling around in galaxies, which have in turn collected into clusters and superclusters.
Later, it was realized that things made more sense if stars were categorized by surface temperature, but this letter system was retained because all the work to classify stars had already been done.
So from hottest at around 25,000 Kelvin to coolest at around 3,500 Kelvin, we now have O, B, A, F, G, K, and M stars, a classification system called the Harvard System, which was developed by early astronomer Annie Jump Cannon.
As we can't stick a thermometer into a star to see how hot it is, this classification based on temperature is actually derived from Wien's law regarding blackbody radiation, which we saw in the modern physics series.
As well as other types of data, like emission spectra, we analyze the light we receive from a star and correlate it with a particular temperature, as well as with specific elements, just like when we learned about the Bohr model in general chemistry.
The hotter the star, the more of the hydrogen and helium nuclei that have been stripped of their electrons, forming the phase of matter known as plasma.
All of this data regarding temperature and luminosity, as well as indirect information on mass and radius, can be represented on something called a Hertzsprung-Russell Diagram, or an H-R Diagram for short.
In this diagram, the horizontal axis shows temperature decreasing to the right, and the vertical axis shows luminosity, or the amount of energy emitted by a particular star per unit time, increasing going up.
Size is also represented, with main sequence stars decreasing in size from left to right, but with red giants and white dwarfs deviating from this trend.
This data, collected by looking at hundreds of thousands of stars in the early 20th century, reveals certain facts about stars, such as the mass-luminosity relationship that we just described.
This has to do with the fact that the gravity crushing the star inwards increases exponentially with its radius, so larger stars have to generate much more outward pressure to prevent collapse.