Is my understanding of nuclear fusion and binding energy correct?

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SUMMARY

This discussion centers on the concepts of nuclear fusion and binding energy, specifically how binding energy correlates with nuclear stability. High binding energy indicates a tightly bound nucleus, while low binding energy signifies a weakly bound nucleus. The nuclear strong force operates over short distances, while the Coulomb force has an infinite range, affecting binding energy as nucleons are added. For heavy nuclei, binding energy decreases after iron due to the dominance of the Coulomb force, leading to instability. The discussion concludes that the energy difference during fusion or fission corresponds to changes in binding energy, with a specific approximation of 17.9 MeV being validated.

PREREQUISITES
  • Understanding of nuclear physics concepts, including binding energy and nuclear forces.
  • Familiarity with the nuclear strong force and Coulomb force interactions.
  • Knowledge of nuclear stability and the significance of iron in binding energy trends.
  • Basic comprehension of fusion and fission processes in nuclear reactions.
NEXT STEPS
  • Research the role of binding energy in nuclear reactions and stability.
  • Explore the differences between fusion and fission processes in detail.
  • Study the implications of the nuclear strong force and Coulomb force in heavy nuclei.
  • Investigate the calculations of binding energy and energy release in nuclear reactions.
USEFUL FOR

This discussion is beneficial for nuclear physicists, students studying nuclear energy, and anyone interested in the principles of nuclear fusion and binding energy dynamics.

sss1
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Homework Statement
Is my understanding of nuclear fusion and binding energy correct?
Relevant Equations
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Binding energy- the amount of energy required to dissemble the nucleus
High binding energy means that the nucleus is very tightly bound, whereas a low binding energy means the nucleus is weakly bound.

The nuclear strong force acts at a very short range whereas the Coulomb force is infinite range.
For small nuclei, adding extra nucleons means there are more nucleons the nuclear strong force to act on, and the coulomb repulsion force is not so strong yet, so the binding energy increases.

When a proton gets added into a nucleus, it will feel Coulomb repulsion from ALL the other protons but only feel the nuclear strong force from its close neighbors. Hence for heavy nuclei, the binding energy decreases after iron because the Coulomb force starts to dominate instead of the strong force? When you fuse, you go from being unstable to being stable (before iron), unstable having lower binding energy and stable having higher binding energy.

For the unstable ones, having lower binding energy, I’d be imagining nucleons vibrating all over the place? So they have excess energy. When they fuse or fission to become more stable, do the nucleons lose energy because the new nuclei vibrate less? That energy is equal to the difference in the binding energies?

If so, for this question, bii, would 28-2-3(2.7) be a good approximation?
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If so, for this question, bii, would 28-2-3(2.7)=17.9MeV be a good approximation?
 
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sss1 said:
If so, for this question, bii, would 28-2-3(2.7)=17.9MeV be a good approximation?
It would be a good approximation.
 
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