Electron Radius (Classical) to Micrometer Converter
Unit Converter
Instant · Precise · Universal
32 units available
6 categories total
How to Convert Electron Radius (Classical) to Micrometer
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-9 Micrometer (µm).
Electron Radius (Classical) to Micrometer — Common Values
| Electron Radius (Classical) (re) | Micrometer (µm) |
|---|---|
| 0.1 | 2.817940e-10 |
| 0.5 | 1.408970e-9 |
| 1 | 2.817940e-9 |
| 2 | 5.635881e-9 |
| 5 | 1.408970e-8 |
| 10 | 2.817940e-8 |
| 25 | 7.044851e-8 |
| 50 | 1.408970e-7 |
| 100 | 2.817940e-7 |
| 500 | 0.000001408970163 |
| 1000 | 0.000002817940326 |
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 Micrometer (µm)
Definition
The micrometer (micron) is a unit of length equal to 10⁻⁶ meters, or one millionth of a meter.
Mathematical Relationship
1 µm = 10⁻⁶ m = 1,000 nm = 0.001 mm. One millimeter equals 1,000 micrometers.
Conversion Formula
To convert µm to mm: divide by 1,000. To convert µm to inches: multiply by 3.937 × 10⁻⁵.
Practical Applications
Measuring human hair thickness (~70 µm), red blood cells (~7 µm), bacteria (1–10 µm), and machining tolerances.
Interesting Facts
A typical bacterium is about 1–2 µm long, while a human red blood cell has a diameter of about 7 µm.
Common Mistakes
Writing 'um' instead of 'µm' in formal contexts. Also confusing micrometers (the unit) with micrometers (the measuring tool).
Educational Tips
The limit of human vision is about 40 µm — anything smaller requires a microscope.