Electron Radius (Classical) to Centimeter Converter
Unit Converter
Instant · Precise · Universal
32 units available
6 categories total
How to Convert Electron Radius (Classical) to Centimeter
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-13 Centimeter (cm).
Electron Radius (Classical) to Centimeter — Common Values
| Electron Radius (Classical) (re) | Centimeter (cm) |
|---|---|
| 0.1 | 2.817940e-14 |
| 0.5 | 1.408970e-13 |
| 1 | 2.817940e-13 |
| 2 | 5.635881e-13 |
| 5 | 1.408970e-12 |
| 10 | 2.817940e-12 |
| 25 | 7.044851e-12 |
| 50 | 1.408970e-11 |
| 100 | 2.817940e-11 |
| 500 | 1.408970e-10 |
| 1000 | 2.817940e-10 |
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 Centimeter (cm)
Definition
The centimeter is a unit of length equal to one hundredth of a meter (10⁻² m), or 10 millimeters.
Mathematical Relationship
1 cm = 0.01 m = 10 mm = 0.3937 inches. There are 2.54 cm in one inch.
Conversion Formula
To convert cm to inches: divide by 2.54. To convert inches to cm: multiply by 2.54.
Practical Applications
Measuring height, waist circumference, screen sizes, furniture dimensions, and map scales.
Interesting Facts
The CGS system was the primary scientific system for over a century. 1 cm is roughly the width of an adult fingernail.
Common Mistakes
Confusing cm and inches — a common error in international contexts. Always verify which system a measurement uses.
Educational Tips
Your fingernail width is roughly 1 cm — a handy mental reference that's always available.