Electron Radius (Classical) to Millimeter Converter
Unit Converter
Instant · Precise · Universal
32 units available
6 categories total
How to Convert Electron Radius (Classical) to Millimeter
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-12 Millimeter (mm).
Electron Radius (Classical) to Millimeter — Common Values
| Electron Radius (Classical) (re) | Millimeter (mm) |
|---|---|
| 0.1 | 2.817940e-13 |
| 0.5 | 1.408970e-12 |
| 1 | 2.817940e-12 |
| 2 | 5.635881e-12 |
| 5 | 1.408970e-11 |
| 10 | 2.817940e-11 |
| 25 | 7.044851e-11 |
| 50 | 1.408970e-10 |
| 100 | 2.817940e-10 |
| 500 | 1.408970e-9 |
| 1000 | 2.817940e-9 |
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 Millimeter (mm)
Definition
The millimeter is a unit of length equal to one thousandth of a meter (10⁻³ m), or one tenth of a centimeter.
Mathematical Relationship
1 mm = 0.001 m = 0.1 cm = 1,000 µm. There are 25.4 mm in one inch.
Conversion Formula
To convert mm to inches: divide by 25.4. To convert inches to mm: multiply by 25.4.
Practical Applications
Engineering drawings, screw thread specifications, rainfall measurements, paper thickness, and small component dimensions.
Interesting Facts
Standard A4 paper is 210 × 297 mm. A credit card is about 0.76 mm thick.
Common Mistakes
Confusing mm with cm on rulers — each cm mark has 10 mm divisions. Also, misreading calipers by one mm.
Educational Tips
A dime is about 1.3 mm thick — use it as a quick visual reference for millimeter scale.