Find Nucleus Radius: Mass vs. Formula

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    Nucleus Radius
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SUMMARY

The discussion focuses on calculating the radius of a nucleus based on its mass using the formula R = 1.2 A^(1/3), where A represents the mass number. Participants emphasize the necessity of assuming constant density and spherical shape for the nuclei. The relationship mass = volume x density is highlighted, but the challenge arises when density is unknown. Ultimately, the conversation concludes that various formulas essentially derive from the same foundational equation for nuclear radius.

PREREQUISITES
  • Understanding of nuclear physics concepts, specifically mass number and density.
  • Familiarity with the formula R = 1.2 A^(1/3) for nuclear radius calculation.
  • Basic knowledge of volume calculations in three-dimensional shapes.
  • Access to measured nuclear radius data from the IAEA.
NEXT STEPS
  • Research the concept of nuclear density and its implications on radius calculations.
  • Explore the derivation and applications of the formula R = 1.2 A^(1/3).
  • Investigate alternative methods for estimating nuclear radius without known density.
  • Examine experimental data on nuclear radii from the IAEA for practical comparisons.
USEFUL FOR

Students and professionals in nuclear physics, researchers analyzing nuclear properties, and educators teaching concepts related to atomic structure and nuclear measurements.

niamh
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How do I find the radius of the nucleus if given the mass? I am asked to compare it with the value found using the formula R= 1.2 A^(1/3)
 
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you have to take into assumption some stuff...
For example you'll have to assume that the nuclei have constant density...
and you'll have to assume that their shape is given (to be spherical)...
 
Measured values for the radii of select nuclei are available from the IAEA.
 
That's what I was thinking using the relation mass=volume x density, but if I don't know the density how can I use this relation?
 
I think all formulas are basically another way to calculate R= 1.2 A^(1/3) . Sure, you can replace A by the mass divided by the (average) mass of a nucleon, and get a formula like R= const* (mass/density)^(1/3), but that is nothing new.
 

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