Electron Radius (Classical) to Terameter Converter
Unit Converter
Instant · Precise · Universal
32 units available
6 categories total
How to Convert Electron Radius (Classical) to Terameter
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-27 Terameter (Tm).
Electron Radius (Classical) to Terameter — Common Values
| Electron Radius (Classical) (re) | Terameter (Tm) |
|---|---|
| 0.1 | 2.817940e-28 |
| 0.5 | 1.408970e-27 |
| 1 | 2.817940e-27 |
| 2 | 5.635881e-27 |
| 5 | 1.408970e-26 |
| 10 | 2.817940e-26 |
| 25 | 7.044851e-26 |
| 50 | 1.408970e-25 |
| 100 | 2.817940e-25 |
| 500 | 1.408970e-24 |
| 1000 | 2.817940e-24 |
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 Terameter (Tm)
Definition
The terameter is a unit of length equal to 10¹² meters, or one trillion meters (one billion kilometers).
Mathematical Relationship
1 Tm = 10¹² m = 10⁹ km = 6.685 AU.
Conversion Formula
To convert Tm to AU: multiply by 6.685. To convert Tm to km: multiply by 10⁹.
Practical Applications
Expressing outer solar system distances in metric form, though AU is standard.
Interesting Facts
One light-hour is approximately 1.08 Tm. The distance to Pluto's orbit is roughly 5.9 Tm.
Common Mistakes
Confusing tera (10¹²) with other large prefixes. Remember: tera comes after giga in the SI scale.
Educational Tips
Think of the outer solar system: Saturn is about 1.4 Tm from the Sun, a good mental anchor.