Silicon-burning process

In astrophysics, silicon burning is a very brief[1] sequence of nuclear fusion reactions that occur in massive stars with a minimum of about 8–11 solar masses. Silicon burning is the final stage of fusion for massive stars that have run out of the fuels that power them for their long lives in the main sequence on the Hertzsprung-Russell diagram. It follows the previous stages of hydrogen, helium (the triple-alpha process), carbon, neon and oxygen burning processes.

Silicon burning begins when gravitational contraction raises the star’s core temperature to 2.7–3.5 billion kelvins (GK). The exact temperature depends on mass. When a star has completed the silicon-burning phase, no further fusion is possible. The star catastrophically collapses and may explode in what is known as a Type II supernova.

Contents

Nuclear fusion sequence and the alpha process

Stars with normal mass (no greater than about 3 solar masses) run out of fuel after the hydrogen in their cores has been consumed and fused into helium. Stars with an intermediate mass (greater than 3 but less than about 8-11 solar masses) can go on to "burn" (fuse) helium into carbon by means of the triple-alpha process. These stars end their lives when the helium in their cores has been exhausted; thus they end up with carbon cores. High mass stars (more than about 8–11 solar masses) are able to burn carbon because of the extraordinarily high gravitational potential energy bound in their mass. As massive stars contract, their cores heat up to 600 MK and carbon burning begins which creates new elements as follows:

12
6
C
 
4
2
He
 
→  16
8
O
16
8
O
 
4
2
He
 
→  20
10
Ne
20
10
Ne
 
4
2
He
 
→  24
12
Mg

The chemical elements are defined by the number of protons in their nucleus. In the elements listed above, the superscript denotes a particular isotope (form of a chemical element having a different number of neutrons) in terms of its molar mass.

After a high-mass star has burned all the carbon in its core, it contracts, gets hotter, and begins burning the oxygen, neon, and magnesium as follows:

24
12
Mg
 
4
2
He
 
→  28
14
Si

After high-mass stars have nothing but sulfur and silicon in their cores, they further contract until their cores reach temperatures in the range of 2.7–3.5 GK (230–300 keV); silicon burning starts at this point. Silicon burning entails the alpha process which creates new elements by adding the equivalent of one helium nucleus (two protons plus two neutrons) per step in the following sequence:

28
14
Si
 
4
2
He
 
→  32
16
S
32
16
S
 
4
2
He
 
→  36
18
Ar
36
18
Ar
 
4
2
He
 
→  40
20
Ca
40
20
Ca
 
4
2
He
 
→  44
22
Ti
44
22
Ti
 
4
2
He
 
→  48
24
Cr
48
24
Cr
 
4
2
He
 
→  52
26
Fe
52
26
Fe
 
4
2
He
 
→  56
28
Ni
56
28
Ni
 
4
2
He
 
→  60
30
Zn
    (energy is consumed and the star's core collapses)

The entire silicon-burning sequence lasts about one day and stops when nickel–56 has been produced. Nickel–56 (which has 28 protons) has a half-life of 6.02 days and decays via beta radiation (in this case, "beta-plus" decay, which is the emission of a positron) to cobalt–56 (27 protons), which in turn has a half-life of 77.3 days as it decays to iron-56 (26 protons). However, only minutes are available for the nickel–56 to decay within the core of a massive star. At the end of the day-long silicon-burning sequence, the star can no longer release energy via nuclear fusion because a nucleus with 56 nucleons has the lowest mass per nucleon (proton and neutron) of all the elements in the alpha process sequence. Although iron–58 and nickel–62 have slightly higher binding energies per nucleon than iron–56,[2] the next step up in the alpha process would be zinc–60, which has slightly more mass per nucleon and thus, would actually consume energy in its production rather than release any. The star has run out of nuclear fuel and within minutes begins to contract. The potential energy of gravitational contraction heats the interior to 5 GK/430 keV and this opposes and delays the contraction. However, since no additional heat energy can be generated via new fusion reactions, the contraction rapidly accelerates into a collapse lasting only a few seconds. The central portion of the star gets crushed into either a neutron star or, if the star is massive enough, a black hole. The outer layers of the star are blown off in an explosion known as a Type II supernova that lasts days to months. The supernova explosion releases a large burst of neutrons, which synthesizes in about one second roughly half the elements heavier than iron, via a neutron-capture mechanism known as the r-process (where the “r” stands for rapid neutron capture).

Binding energy

The graph below shows the binding energy of various elements. Increasing values of binding energy can be thought of in two ways: 1) it is the energy required to remove a nucleon from a nucleus, and 2) it is the energy released when a nucleon is added to a nucleus. As can be seen, light elements such as hydrogen release large amounts of energy (a big increase in binding energy) as nucleons are added—the process of fusion. Conversely, heavy elements such as uranium release energy when nucleons are removed—the process of nuclear fission. In stars, rapid nucleosynthesis proceeds by adding helium nuclei (alpha particles) to heavier nuclei. Although nuclei with 58 and 62 nucleons have the very lowest binding energy, fusing a helium nucleus into nickel–56 (14 alphas) to produce the next element—zinc–60 (15 alphas)—actually requires energy rather than releases any. Accordingly, nickel–56 is the last fusion product produced in the core of a high-mass star. Decay of nickel-56 explains the large amount of iron-56 seen in metallic meteorites and the cores of rocky planets.

See also

References

  1. ^ Woosley, S.; Janka, T. (2006). "The physics of core collapse supernovae". arXiv:astro-ph/0601261. 
  2. ^ Citation: The atomic nuclide with the highest mean binding energy, Fewell, M. P., American Journal of Physics, Volume 63, Issue 7, pp. 653-658 (1995). Click here for a high-resolution graph, The Most Tightly Bound Nuclei, which is part of the Hyperphysics project at Georgia State University.

External links