Nuclear Binding Energy, Fission and Fusion

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SUMMARY

The discussion centers on the concept of nuclear binding energy, which is the energy released when nucleons form a nucleus, as described by the equation E = mc². This energy is not merely incorporated into the nucleus but is a measure of the strong nuclear force that holds the nucleus together. The relationship between nuclear binding energy and the processes of fission and fusion is clarified, indicating that energy is released when lighter nuclei combine to form a heavier nucleus with greater binding energy per nucleon. The confusion regarding energy release is resolved by understanding that the energy difference between the binding energies of the initial and final states accounts for the energy released into the environment.

PREREQUISITES
  • Understanding of nuclear physics concepts, particularly nuclear binding energy
  • Familiarity with Einstein's mass-energy equivalence principle (E = mc²)
  • Knowledge of the strong nuclear force and electrostatic forces in atomic nuclei
  • Basic principles of nuclear fission and fusion processes
NEXT STEPS
  • Research the concept of nuclear binding energy in detail, focusing on its calculation and implications
  • Study the strong nuclear force and its role in stabilizing atomic nuclei
  • Explore the processes of nuclear fission and fusion, including energy release mechanisms
  • Examine the binding energy per nucleon for various elements, particularly iron (Fe) and its significance in fusion
USEFUL FOR

This discussion is beneficial for students and professionals in nuclear physics, educators teaching atomic structure, and anyone interested in the principles of energy release in nuclear reactions.

nothing123
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So I understand that when a nucleus is formed from its individual nucleons, that there will be a decrease in mass known as the mass defect. The mass defect can be equally converted to energy following E = mc^2 and this is the nuclear binding energy. Now, is this energy released into the environment or actually incorporated into the nucleus to hold its contents together? If it's the latter, would this be the strong nuclear force?

Now in terms of fission and fusion, what is the relationship between the nuclear binding energy and these two processes? I'm confused because if the nuclear binding energy is in fact what holds the nucleus together, then how could energy ever be released from ever combining or breaking nuclei? Reading around the web, Fe has about the largest binding energy per nucleon. So two smaller atoms with less binding energy per nucleon to fuse together to create one larger atom with more binding energy per nucleon. I'm guessing the energy difference between the nuclear binding energy of the large nucleus and the two smaller is the energy that is released. However, isn't this energy needed to hold the larger nucleus together; that is, wouldn't there still be no energy released into the environment because the nuclear binding energy is inherent to the system?

Thanks.
 
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Ok, after some research, I think nuclear binding energy is in fact energy that is released when nucleons form a nucleus (or equivalently, the energy needed to break the nucleus apart). So because the strong nuclear force is greater than the electrostatic repulsion of protons in the nucleus, no energy need inputted to form the nucleus ever?
 

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