Electron Radius (Classical) to Exameter Converter
Unit Converter
Instant · Precise · Universal
32 units available
6 categories total
How to Convert Electron Radius (Classical) to Exameter
To convert to meters: multiply by 2.8179403262 × 10⁻¹⁵.
re = e²/(4πε₀mec²) ≈ 2.8179 × 10⁻¹⁵ m, where e is electron charge and me is electron mass.
For example, 1 Electron Radius (Classical) (re) = 2.817940e-33 Exameter (Em).
Electron Radius (Classical) to Exameter — Common Values
| Electron Radius (Classical) (re) | Exameter (Em) |
|---|---|
| 0.1 | 2.817940e-34 |
| 0.5 | 1.408970e-33 |
| 1 | 2.817940e-33 |
| 2 | 5.635881e-33 |
| 5 | 1.408970e-32 |
| 10 | 2.817940e-32 |
| 25 | 7.044851e-32 |
| 50 | 1.408970e-31 |
| 100 | 2.817940e-31 |
| 500 | 1.408970e-30 |
| 1000 | 2.817940e-30 |
About Electron Radius (Classical) (re)
Definition
The classical electron radius is a theoretical length scale derived from the electron's charge and mass, approximately 2.818 × 10⁻¹⁵ meters.
Mathematical Relationship
re = e²/(4πε₀mec²) ≈ 2.8179 × 10⁻¹⁵ m, where e is electron charge and me is electron mass.
Conversion Formula
To convert to meters: multiply by 2.8179403262 × 10⁻¹⁵.
Practical Applications
Used in calculating X-ray and gamma-ray scattering probabilities off electrons (Thomson and Compton scattering).
Interesting Facts
Despite its name, the electron is a point particle in quantum theory — the 'classical radius' is a theoretical construct, not the electron's actual size.
Common Mistakes
Assuming this is the actual physical size of the electron — quantum mechanics shows the electron has no measurable size.
Educational Tips
Think of it as the scale at which classical electromagnetic self-energy equals the electron's mass-energy.
About Exameter (Em)
Definition
The exameter is a unit of length equal to 10¹⁸ meters, or about 105.7 light-years.
Mathematical Relationship
1 Em = 10¹⁸ m = 1,000 Pm ≈ 105.7 light-years ≈ 32.4 parsecs.
Conversion Formula
To convert Em to light-years: multiply by 105.7. To convert Em to parsecs: multiply by 32.4.
Practical Applications
No practical applications. Theoretical framework for expressing galactic neighborhood distances.
Interesting Facts
The Milky Way galaxy has a diameter of about 10 Em (100,000 light-years).
Common Mistakes
Em is almost never used — astronomers use parsecs or light-years. It exists only for SI completeness.
Educational Tips
Just remember: Exa = 10¹⁸. The Milky Way is about 10 Em across for a sense of scale.