WTA : does atomic mass matter to atom's radius?

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Homework Help Overview

The discussion revolves around the relationship between atomic mass and atomic radius, specifically comparing the atomic radius of helium isotopes He-3 and He-4. Participants are exploring how the atomic radius is defined and whether it varies between these isotopes.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the atomic radius in relation to the number of electrons in He-3 and He-4, questioning whether the atomic radius ratio is affected by the difference in atomic mass. There is an exploration of the definitions of atomic and nuclear radius.

Discussion Status

There is a recognition that while the atomic radius may be considered the same for both isotopes, the nuclear radius differs. Some participants suggest that the ratio of atomic radii is 1, while others clarify the distinction between atomic and nuclear radii.

Contextual Notes

Participants are navigating the definitions of atomic and nuclear radii, and there is a reference to a formula related to nuclear radius that introduces additional complexity to the discussion.

adi adi
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Homework Statement


so my friend asked this question: "what's the atomic radius ratio between He-3 and He-4?"
2. Homework Equations

all i know is this equation : r =nh/mv
3. The Attempt at a Solution

i thought the ratio will be same because both He-3 and He-4 have only two electrons. Correct me if I am wrong please
 
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Nuclear radius will be different but atomic radius will remain the same. As atomic radius is the distance between the center of the nuclei to the outermost electron-which is same for both.

ratio is 1 and 'not same'
 
ash64449 said:
Nuclear radius will be different but atomic radius will remain the same. As atomic radius is the distance between the center of the nuclei to the outermost electron-which is same for both.

ratio is 1 and 'not same'
so to make clear things the ratio of atomic radius is same but the nuclear radius isn't same right?
 
adi adi said:
ratio of atomic radius is same

You should actually say atomic radius of both are same and ratio is 1.
adi adi said:
nuclear radius isn't same right?

yes. You can understand it by the formula:

R=R_0*A^(1/3)

where A-Mass number, R_0 is a constant
 

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