Calculate the average binding energy per nucleon

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SUMMARY

The average binding energy per nucleon in the deuterium nucleus is calculated to be 1.112 MeV/c². The discussion highlights a common misconception regarding the interpretation of binding energy and mass, emphasizing that the calculated value represents mass deficit rather than energy. The binding energy of an electron in hydrogen is 13.4 eV, which translates to a significantly lower energy per nucleon when compared to the binding energy of nucleons in deuterium. Participants clarify the importance of unit conversion and the distinction between energy and mass in nuclear physics.

PREREQUISITES
  • Understanding of nuclear binding energy concepts
  • Familiarity with unit conversions between eV and MeV
  • Basic knowledge of mass-energy equivalence (E=mc²)
  • Experience with nuclear physics terminology
NEXT STEPS
  • Research the concept of mass defect in nuclear physics
  • Learn about the binding energy calculations for other isotopes
  • Explore the relationship between binding energy and nuclear stability
  • Investigate the differences between electron binding energy and nucleon binding energy
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Students and professionals in nuclear physics, educators teaching advanced physics concepts, and anyone interested in the intricacies of binding energy calculations and their implications in atomic structure.

salsabel
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a) Calculate the average binding energy per nucleon in the deuterium nucleus.
b) The energy that binds an orbiting electron to the hydrogen nucleus is 13.4 eV. Calculate the ratio of the binding energy per nucleon to the binding per electron in deuterium. Which particle is held more tightly, the electron or the neutron?

I already worked out the average binding energy per nucleon as 1.112 MeV/c^2 in the last question.

1 eV = 1.0*10^6 MeV/C^2, so wouldn't that make the binding energy of an electron much stronger than that of a neutron?
 
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Be careful, ask yourself - does that seem reasonable?
I already worked out the average binding energy per nucleon as 1.112 MeV/c^2 in the last question.

That is not an energy, it is a mass.
 
salsabel said:
I already worked out the average binding energy per nucleon as 1.112 MeV/c^2 in the last question.
Careful, what you have actually calculated there is the mass deficit per nucleon, notice the factor of c-2.
salsabel said:
1 eV = 1.0*10^6 MeV/C^2, so wouldn't that make the binding energy of an electron much stronger than that of a neutron?
You need to be careful with your units here, an extra factor of c-2 has just popped up from nowhere. Again, you have quoted units of mass. You also need be careful when converting from eV to MeV.

1eV = 1x10-6MeV
 

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