Electron Radius (Classical) to Gigameter Converter
Unit Converter
Instant · Precise · Universal
32 units available
6 categories total
How to Convert Electron Radius (Classical) to Gigameter
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-24 Gigameter (Gm).
Electron Radius (Classical) to Gigameter — Common Values
| Electron Radius (Classical) (re) | Gigameter (Gm) |
|---|---|
| 0.1 | 2.817940e-25 |
| 0.5 | 1.408970e-24 |
| 1 | 2.817940e-24 |
| 2 | 5.635881e-24 |
| 5 | 1.408970e-23 |
| 10 | 2.817940e-23 |
| 25 | 7.044851e-23 |
| 50 | 1.408970e-22 |
| 100 | 2.817940e-22 |
| 500 | 1.408970e-21 |
| 1000 | 2.817940e-21 |
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 Gigameter (Gm)
Definition
The gigameter is a unit of length equal to 10⁹ meters, or one billion meters (one million kilometers).
Mathematical Relationship
1 Gm = 10⁹ m = 10⁶ km = 0.00668 AU.
Conversion Formula
To convert Gm to km: multiply by 1,000,000. To convert Gm to AU: divide by 149.598.
Practical Applications
Describing distances between planets in a compact metric format, though AU is preferred.
Interesting Facts
Light travels about 0.3 Gm per second (299,792 km/s ≈ 0.3 Gm/s).
Common Mistakes
Mixing up Gm with Gb (gigabyte) in mixed technical contexts. Context matters for the prefix 'giga'.
Educational Tips
The Sun is ~150 Gm away from Earth — this is a useful anchor for the gigameter scale.