Find Nucleus Radius: Mass vs. Formula

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    Nucleus Radius
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Discussion Overview

The discussion revolves around finding the radius of a nucleus based on its mass and comparing it to a formula, specifically R = 1.2 A^(1/3). Participants explore the assumptions and implications of using mass and density in this context.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant inquires about the method to determine the nucleus radius from mass and its comparison to the formula R = 1.2 A^(1/3).
  • Another participant emphasizes the need for assumptions, such as constant density and spherical shape of nuclei, to apply the formula effectively.
  • A participant mentions that measured values for nuclear radii are available from the IAEA, suggesting a reference for comparison.
  • One participant expresses uncertainty about using the relation mass = volume x density without knowing the density, questioning the feasibility of this approach.
  • Another participant argues that various formulas essentially lead back to R = 1.2 A^(1/3), suggesting that substituting mass into the formula does not yield fundamentally new insights.

Areas of Agreement / Disagreement

Participants express differing views on the assumptions necessary for calculating the nucleus radius and the implications of using different formulas. There is no consensus on the best approach or the validity of the assumptions made.

Contextual Notes

Limitations include the dependence on the assumption of constant density and spherical shape, as well as the uncertainty regarding the density value needed for calculations.

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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