Electron Radius (Classical) to Earth's Polar Radius Converter
Unit Converter
Instant · Precise · Universal
32 units available
6 categories total
How to Convert Electron Radius (Classical) to Earth's Polar Radius
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) = 4.432987e-22 Earth's Polar Radius (R⊕ (polar)).
Electron Radius (Classical) to Earth's Polar Radius — Common Values
| Electron Radius (Classical) (re) | Earth's Polar Radius (R⊕ (polar)) |
|---|---|
| 0.1 | 4.432987e-23 |
| 0.5 | 2.216494e-22 |
| 1 | 4.432987e-22 |
| 2 | 8.865975e-22 |
| 5 | 2.216494e-21 |
| 10 | 4.432987e-21 |
| 25 | 1.108247e-20 |
| 50 | 2.216494e-20 |
| 100 | 4.432987e-20 |
| 500 | 2.216494e-19 |
| 1000 | 4.432987e-19 |
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 Earth's Polar Radius (R⊕ (polar))
Definition
The Earth's polar radius is the distance from Earth's center to either pole, approximately 6,356.752 km.
Mathematical Relationship
R⊕(polar) = 6,356,752.3 m. It is about 21.385 km shorter than the equatorial radius.
Conversion Formula
To convert Earth polar radii to meters: multiply by 6,356,752.3.
Practical Applications
Geodetic calculations, gravity modeling, and precise cartography near the poles.
Interesting Facts
At the poles, you are about 21 km closer to Earth's center than at the equator — you weigh very slightly more!
Common Mistakes
Approximating Earth as a perfect sphere — the difference between equatorial and polar radii matters for precision applications.
Educational Tips
Earth's shape (oblate spheroid) is like a slightly squished ball — wider at the equator, flatter at the poles.