Electron Radius r_s: Data & Resources

In summary, the electron radius r<sub>s</sub> is a physical constant that represents the average distance of an electron from the nucleus in an atom. It is calculated using the formula r<sub>e</sub> = e<sup>2</sup>/4πε<sub>0</sub>m<sub>e</sub>c<sup>2</sup> and has a value of approximately 2.8179 x 10<sup>-15</sup> m or 0.0281 femtometers (fm). It differs from the Bohr radius, which is the average distance between the electron and nucleus in a hydrogen atom. There are various resources available for further research on the electron radius r<sub
  • #1
Morberticus
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I am looking for data on the coefficient [tex]r_s[/tex], which is related to the radius of a sphere such that, for a given density of electrons, there is one electron pers sphere on average.

I have seen it expressed as [tex]r_s = r/a_0[/tex] where r is the radius of the sphere and [tex]a_0[/tex] is the bohr radius. Does the coefficient have a name? Is there a resource online for reading up on it?
 
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  • #2
That parameter is named Seitz radius. It is mainly used in publications dealing with the homogeneous electron gas (e.g., derivations for density functionals).
 

1. What is the electron radius rs?

The electron radius rs is a physical constant that represents the average distance of an electron from the nucleus in an atom. It is also known as the classical electron radius and is denoted by the symbol re.

2. How is the electron radius rs calculated?

The electron radius rs is calculated using the formula re = e2/4πε0mec2, where e is the elementary charge, ε0 is the permittivity of free space, me is the mass of an electron, and c is the speed of light.

3. What is the value of the electron radius rs in meters?

The value of the electron radius rs in meters is approximately 2.8179 x 10-15 m or 0.0281 femtometers (fm).

4. How does the electron radius rs differ from the Bohr radius?

The electron radius rs and the Bohr radius are two different measures of the size of an atom. The Bohr radius is the average distance between the electron and nucleus in a hydrogen atom, while the electron radius rs is the average distance of an electron from the nucleus in any atom.

5. Are there any resources available for further research on the electron radius rs?

Yes, there are various resources available for further research on the electron radius rs. Some of these include scientific journals, textbooks, and online databases that provide information on the latest studies and experiments related to the electron radius. Additionally, there are also research institutions and organizations that focus on the study of atomic and subatomic particles, which may have resources and data on the electron radius rs.

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