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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
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.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.
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.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.
The binding energy per nucleon is the energy required to separate a nucleus into its individual nucleons (protons and neutrons). It is a measure of the stability of a nucleus, with higher binding energy per nucleon indicating a more stable nucleus.
Binding energy per nucleon is calculated by dividing the total binding energy of a nucleus by the number of nucleons in the nucleus. The binding energy is typically calculated using the mass defect of the nucleus, which is the difference between the mass of the individual nucleons and the mass of the nucleus.
Binding energy per nucleon is important because it helps us understand the stability and structure of atomic nuclei. Nuclei with higher binding energy per nucleon are more stable and less likely to undergo nuclear reactions, while nuclei with lower binding energy per nucleon are less stable and more likely to undergo nuclear reactions.
The binding energy per nucleon differs between different elements because it is influenced by the number of protons and neutrons in the nucleus. Generally, larger nuclei (with more nucleons) have higher binding energy per nucleon, while smaller nuclei have lower binding energy per nucleon.
The main factors that affect binding energy per nucleon are the number of protons and neutrons in the nucleus, the nuclear force that holds the nucleus together, and the electrostatic repulsion between protons. Changes in these factors can alter the binding energy per nucleon and impact the stability of the nucleus.