Electron Radius (Classical) to Meter Converter
Unit Converter
Instant · Precise · Universal
32 units available
6 categories total
How to Convert Electron Radius (Classical) to Meter
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-15 Meter (m).
Electron Radius (Classical) to Meter — Common Values
| Electron Radius (Classical) (re) | Meter (m) |
|---|---|
| 0.1 | 2.817940e-16 |
| 0.5 | 1.408970e-15 |
| 1 | 2.817940e-15 |
| 2 | 5.635881e-15 |
| 5 | 1.408970e-14 |
| 10 | 2.817940e-14 |
| 25 | 7.044851e-14 |
| 50 | 1.408970e-13 |
| 100 | 2.817940e-13 |
| 500 | 1.408970e-12 |
| 1000 | 2.817940e-12 |
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 Meter (m)
Definition
The meter is the base unit of length in the International System of Units (SI), defined as the distance light travels in a vacuum in 1/299,792,458 of a second.
Mathematical Relationship
1 m = 100 cm = 1,000 mm = 0.001 km. It is the base unit, so all other metric length units are derived by powers of 10.
Conversion Formula
To convert meters to feet: multiply by 3.28084. To convert meters to inches: multiply by 39.3701.
Practical Applications
Used for measuring room dimensions, building heights, athletic track distances, fabric lengths, and everyday object sizes.
Interesting Facts
The speed of light is exactly 299,792,458 m/s by definition — the meter is actually defined from this constant, not the other way around.
Common Mistakes
Confusing meters with yards — a meter is about 10% longer than a yard. Also, mixing up 'm' (meter) with 'mi' (mile).
Educational Tips
Remember: a doorway is roughly 2 meters tall, and an adult's stride is about 0.7–0.8 meters. Use these as mental benchmarks.