Nuclear Stability: A Comparison of Binding Energy and Packing Fraction

AI Thread Summary
The discussion centers on the relationship between binding energy per nucleon and packing fraction in nuclear stability. It highlights that while a higher binding energy per nucleon suggests a more stable nucleus, a smaller packing fraction seems to indicate the opposite. The confusion arises from the definitions of mass defect in nuclear physics versus mass spectrometry. The participant seeks clarification on how a higher mass defect correlates with stability, questioning the implications of packing fraction. Understanding these concepts is crucial for resolving the apparent discrepancy in nuclear stability assessments.
Krushnaraj Pandya
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Homework Statement


This is a conceptual question I have, the binding energy per nucleon is mass defect*c^2/mass number while the packing fraction is mass defect/mass number. A higher binding energy per nucleon indicates a more stable nucleus BUT a smaller packing fraction indicates a more stable nucleus as well despite BE/A=PF*c^2 as per the formulas- what blunder am I making?

Homework Equations


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The Attempt at a Solution


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Let me re-frame the question, a higher mass defect means more energy to hold the nucleus together and a smaller atomic mass means less nucleons and radius, according to this a higher packing fraction should indicate a more stable nucleus not a less stable one, I'd be really grateful for any help to understand this-Thank you
 
can anyone solve this discrepancy?
 
Packing fraction is a term from mass spectrometry, in which "mass defect" is defined differently than in nuclear physics.
 
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