Finding the Radius of a Thomson Atom in Relation to Hydrogen Atom Radius

In summary, the radius of a Thomson atom is approximately 2.8179 x 10^-15 meters and is calculated using the classical electron radius formula. This value is considered constant and does not significantly change under normal conditions, but can be affected by extreme environments. The radius of a Thomson atom is significantly smaller than the size of an actual atom and is the same for all atoms as it is a fundamental constant. However, the actual size of an atom can vary based on its composition.
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wumple
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Homework Statement


Assume that the density of positive charge in any Thomson atom is the same as for the hydrogen atom. find the radius R of a Thomson atom of atomic number Z in terms of the radius Rh of the hydrogen atom.


Homework Equations





The Attempt at a Solution


I don't know where to start...could someone give me a hint?
 
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  • #2
Write an expression for the charge density of a hydrogen atom (with an Rh in it). Set that equal to a similar expression for the charge density of an atom of atomic number z.
 

1. What is the radius of a Thomson atom?

The radius of a Thomson atom, also known as the classical electron radius, is approximately 2.8179 x 10^-15 meters. It represents the distance between the center of an electron and its outermost point.

2. How is the radius of a Thomson atom calculated?

The radius of a Thomson atom is calculated using the classical electron radius formula, re = (1/4πε0) x (e^2/mec^2), where ε0 is the permittivity of free space, e is the elementary charge, me is the mass of an electron, and c is the speed of light.

3. Can the radius of a Thomson atom change?

The radius of a Thomson atom is considered a constant value and does not significantly change under normal conditions. However, in extreme environments such as high energy collisions, the radius can be affected by relativistic effects.

4. How does the radius of a Thomson atom compare to the size of an actual atom?

The radius of a Thomson atom is significantly smaller than the size of an actual atom, which can range from 62 picometers for a hydrogen atom to 520 picometers for a cesium atom. The Thomson atom only represents the size of the electron within an atom, not the entire atom itself.

5. Is the radius of a Thomson atom the same for all atoms?

Yes, the radius of a Thomson atom is the same for all atoms as it is a fundamental constant. However, the actual size of an atom can vary based on the number of protons, neutrons, and electrons present in its nucleus.

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