The difference in the binding energy per nucleon

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Discussion Overview

The discussion centers on the differences in binding energy per nucleon between carbon-12 and nitrogen-14, exploring the implications of nucleon count and nuclear forces. It involves theoretical considerations of nuclear binding energies and the factors influencing them.

Discussion Character

  • Debate/contested

Main Points Raised

  • Some participants suggest that if binding energy per nucleon is proportional to the number of nucleons, it raises the question of why carbon-12 has a higher binding energy than nitrogen-14 despite having fewer nucleons.
  • Others clarify that binding energy per nucleon is calculated from the total binding energy, which is an observational fact, and then divided by the number of nucleons in each nucleus.
  • One participant emphasizes that there are many factors influencing nuclear binding energies beyond just the number of nucleons and nucleus size, indicating that a simplistic view cannot fully explain the observed phenomena.
  • A participant expresses uncertainty about the availability of a comprehensive explanation for the subtleties involved in nuclear binding energies.

Areas of Agreement / Disagreement

Participants do not reach a consensus, as there are competing views regarding the factors influencing binding energy per nucleon and the implications of nucleon count.

Contextual Notes

The discussion highlights limitations in understanding the complexities of nuclear binding energies, including the dependence on various factors beyond nucleon count and the unresolved nature of certain explanations.

Avalon_18
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if binding energy per nucleon is proportional to the number of nucleons in the range of the nuclear force. then why is the binding energy for carbon 12 higher than nitrogen 14
 
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We calculate the binding energy per nucleon from the known total binding energy, not the other way around. The binding energies of the two nuclei are observational facts; then we divide one by 12 and the other by 14 to get the binding energy per nucleon.
 
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Nugatory said:
We calculate the binding energy per nucleon from the known total binding energy, not the other way around. The binding energies of
the two nuclei are observational facts; then we divide one by 12 and the other by 14 to get the binding energy per nucleon.
but then the question would become if carbon has less nucleon than nitrogen why is the binding energy larger for carbon. neither of the nuclei is large enough that the nuclear forces from one nucleon wouldn't affect the other nucleons.
 
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Avalon_18 said:
but then the question would become if carbon has less nucleon than nitrogen why is the binding energy larger for carbon. neither of the nuclei is large enough that the nuclear forces from one nucleon wouldn't affect the other nucleons.
There's a lot more to nuclear binding energies than just the number of nucleons and the size of the nucleus. If you consider only those factors you can explain some broad-brush phenomena such as the way that the binding energy curve bottoms out at iron and climbs in both directions from there; but look more closely at nearby nuclei anywhere along the curve and it will be clear that there is more going on than that.

I do not know of any decent B-level explanation of these subtleties... perhaps some other posters here do.
 
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