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By the end of this section, you will be able to:
  • Describe the process of nuclear fusion in terms of its product and reactants
  • Calculate the energies of particles produced by a fusion reaction
  • Explain the fission concept in the context of fusion bombs, the production of energy by the Sun, and nucleosynthesis

The process of combining lighter nuclei to make heavier nuclei is called nuclear fusion    . As with fission reactions, fusion reactions are exothermic—they release energy. Suppose that we fuse a carbon and helium nuclei to produce oxygen:

6 12 C + 2 4 H e 8 16 O + γ .

The energy changes in this reaction can be understood using a graph of binding energy per nucleon ( [link] ). Comparing the binding energy per nucleon for oxygen, carbon, and helium, the oxygen nucleus is much more tightly bound than the carbon and helium nuclei, indicating that the reaction produces a drop in the energy of the system. This energy is released in the form of gamma radiation. Fusion reactions are said to be exothermic when the amount of energy released (known as the Q value ) in each reaction is greater than zero ( Q > 0 ) .

An important example of nuclear fusion in nature is the production of energy in the Sun. In 1938, Hans Bethe proposed that the Sun produces energy when hydrogen nuclei ( 1 H ) fuse into stable helium nuclei ( 4 He ) in the Sun’s core ( [link] ). This process, called the proton-proton chain    , is summarized by three reactions:

1 1 H + 1 1 H 1 2 H + + 1 0 e + v + Q , 1 1 H + 1 2 H 2 3 H e + γ + Q , 2 3 H e + 2 3 H e 2 4 H e + 1 1 H + 1 1 H + Q .

Thus, a stable helium nucleus is formed from the fusion of the nuclei of the hydrogen atom. These three reactions can be summarized by

4 1 1 H 2 4 H e + 2 + 1 0 e + 2 γ + 2 v + Q .

The net Q value is about 26 MeV. The release of this energy produces an outward thermal gas pressure that prevents the Sun from gravitational collapse. Astrophysicists find that hydrogen fusion supplies the energy stars require to maintain energy balance over most of a star's life span.

The figure shows the Sun as a circle and the Sun’s core as a smaller concentric circle within it. Arrows labeled fusion radiate outwards from the core. Arrows labeled gravity radiate inwards from the surface.
The Sun produces energy by fusing hydrogen into helium at the Sun’s core. The red arrows show outward pressure due to thermal gas, which tends to make the Sun expand. The blue arrows show inward pressure due to gravity, which tends to make the Sun contract. These two influences balance each other.

Nucleosynthesis

Scientist now believe that many heavy elements found on Earth and throughout the universe were originally synthesized by fusion within the hot cores of the stars. This process is known as nucleosynthesis    . For example, in lighter stars, hydrogen combines to form helium through the proton-proton chain. Once the hydrogen fuel is exhausted, the star enters the next stage of its life and fuses helium. An example of a nuclear reaction chain that can occur is:

2 4 He + 2 4 H e 4 8 Be + γ , 4 8 Be + 2 4 H e 6 12 C + γ , 6 12 C + 2 4 H e 8 16 O + γ .

Carbon and oxygen nuclei produced in such processes eventually reach the star’s surface by convection. Near the end of its lifetime, the star loses its outer layers into space, thus enriching the interstellar medium with the nuclei of heavier elements ( [link] ).

A greenish blob is seen against a black background. The edges of this are yellowish. A bright white star is seen within it.
A planetary nebula is produced at the end of the life of a star. The greenish color of this planetary nebula comes from oxygen ions.

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Source:  OpenStax, University physics volume 3. OpenStax CNX. Nov 04, 2016 Download for free at http://cnx.org/content/col12067/1.4
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