Source of energy in fusion reactions

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Discussion Overview

The discussion centers around the source of energy in nuclear fusion reactions, specifically addressing the apparent contradiction in energy calculations when hydrogen nuclei fuse to form helium. Participants explore the mechanisms behind energy release in fusion compared to fission, and seek clarification on the mass-energy relationship in these processes.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant notes that in nuclear fission, the mass defect results in energy release, and questions how a similar mechanism applies to fusion when the initial energy appears to be greater than the final energy.
  • Another participant asserts that the helium nucleus is lighter than the four protons, suggesting that energy is still released in a manner akin to fission.
  • A third participant adds that during fusion, protons are converted to neutrons, and the resulting positrons and neutrinos carry away energy, contributing to the overall energy balance.
  • One participant references the binding energy curve and states that generally, fusion releases energy at lower atomic masses while fission absorbs energy, with exceptions at higher atomic masses.

Areas of Agreement / Disagreement

The discussion contains multiple competing views regarding the energy dynamics in fusion reactions, and participants do not reach a consensus on the explanation of the energy release mechanism.

Contextual Notes

Participants express uncertainty regarding the calculations of energy and mass in fusion reactions, and the discussion highlights the complexity of the processes involved without resolving the contradictions presented.

ananthu
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In the case of nuclear fission, when U-235 splits into Ba,Kr and three neutrons , then it is shown that the total mass of the products on the right side of the equation is slightly less than that of the reactants on the left side. So this missing mass-the mass defect – is converted into energy and released. But in the case of a nuclear fusion reaction, when 4 hydrogen nuclei fuse together and form a helium nuclei there also energy is released ie.27.6 MeV per fusion. But how this mechanism can be explained?

Because in this reaction the total energy on the left side is calculated as 4.4 MeV and that of the product nuclei ie. He, is given as 28 MeV. Here the energy on the right hand side is found greater than that of the left side. Logically in this reaction it appears as if the energy is only absorbed, but not released. Then how we do we get the energy released in the fusion reactions as in the case of fission reactions?

Can anybody kindly explain this contradiction in a simple manner?
 
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If you calculate the masses on the left and right side, you'll see that the helium nucleus (plus positrons) is lighter than the 4 protons together. It is very similar to fission in that respect.
The total energy in the process is of the order of 4 GeV, not MeV, but most of that remains in the nuclei.
Also keep in mind that "4 protons -> Helium-4" as single process does not exist.
 
Also remember that somewhere along the way, two protons have been converted to two neutrons, and the positrons and neutrinos thus produced will be happy to carry away some of the energy in the form of kinetic energy.
 
Look up "binding energy curve" and "semi-empirical binding energy formula." Generally speaking (there are exceptions), at lower atomic masses, fusion releases energy and fission absorbs energy. At higher atomic masses, it's the other way around.
 

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