The triple-alpha process is a set of nuclear fusion reactions by which three helium-4 nuclei (alpha particles) are transformed into carbon.
In stars
Helium accumulates in the cores of stars as a result of the proton–proton chain reaction and the carbon–nitrogen–oxygen cycle. Nuclear fusion reactions of two helium-4 nuclei produces beryllium-8, which is highly unstable, and decays back into smaller nuclei with a half-life of 8.19×10−17 s, unless within that time a third alpha particle fuses with the beryllium-8 nucleus to produce an excited resonance state of carbon-12, called the Hoyle state. This nearly always decays back into three alpha particles, but once in about 2421.3 times, it releases energy and changes into the stable base form of carbon-12. When a star runs out of hydrogen to fuse in its core, it begins to contract and heat up. If the central temperature rises to 108 K, six times hotter than the Sun's core, alpha particles can fuse fast enough to get past the beryllium-8 barrier and produce significant amounts of stable carbon-12.
The net energy release of the process is 7.274 MeV. As a side effect of the process, some carbon nuclei fuse with additional helium to produce a stable isotope of oxygen and energy:
126C + 42He → 168O + γ (+7.161 MeV) Nuclear fusion reactions of helium with hydrogen produces lithium-5, which is also highly unstable, and decays back into smaller nuclei with a half-life of 3.7×10−22 s. Fusing with additional helium nuclei can create heavier elements in a chain of stellar nucleosynthesis known as the alpha process, but these reactions are only significant at higher temperatures and pressures than in cores undergoing the triple-alpha process. This creates a situation in which stellar nucleosynthesis produces large amounts of carbon and oxygen, but only a small fraction of those elements are converted into neon and heavier elements. Oxygen and carbon are the main "ash" of helium-4 burning.
In neutron stars Material that accretes from a companion star onto the surface of a neutron star may begin this helium-burning process in a local region. The burning wave is estimated to travel at 50 to 500 km/s, traversing the surface in around one second. Within this second, the neutron star rapidly rotates, moving the brighter burning region in and out of view. This intensity modulation allows the rotational frequency to be measured, sometimes up to 300 Hz. Some neutron stars have been measured with such an intensity modulation at 600 Hz. A suggested origin is neutron stars which rotate at 300 Hz, but have two burning regions. The second burning region is theorized to form almost immediately after the first, exactly on the opposite side of the neutron star, due to the convergence of gravitational wave from the initial thermonuclear ignition.
Primordial carbon
The triple-alpha process is ineffective at the pressures and temperatures early in the Big Bang. One consequence of this is that no significant amount of carbon was produced in the Big Bang.
Resonances Ordinarily, the probability of the triple-alpha process is extremely small. However, the beryllium-8 ground state has almost exactly the energy of two alpha particles. In the second step, 8Be + 4He has almost exactly the energy of an excited state of 12C. This resonance greatly increases the probability that an incoming alpha particle will combine with beryllium-8 to form carbon. The existence of this resonance was predicted by Fred Hoyle before its observation, based on the physical necessity for it to exist, in order for carbon to be formed in stars. The prediction and then discovery of this energy resonance and process supported Hoyle's hypothesis of stellar nucleosynthesis, which posited that all chemical elements had originally been formed from hydrogen, the true primordial substance. The anthropic principle has been cited to explain the fact that nuclear resonances are sensitively arranged to create large amounts of carbon and oxygen in the universe.
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