Electron Radius (Classical) to Attometer Converter
Unit Converter
Instant · Precise · Universal
32 units available
6 categories total
How to Convert Electron Radius (Classical) to Attometer
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) = 2817.940326 Attometer (am).
Electron Radius (Classical) to Attometer — Common Values
| Electron Radius (Classical) (re) | Attometer (am) |
|---|---|
| 0.1 | 281.7940326 |
| 0.5 | 1408.970163 |
| 1 | 2817.940326 |
| 2 | 5635.880652 |
| 5 | 14089.70163 |
| 10 | 28179.40326 |
| 25 | 70448.50815 |
| 50 | 140897.0163 |
| 100 | 281794.0326 |
| 500 | 1408970.163 |
| 1000 | 2817940.326 |
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 Attometer (am)
Definition
The attometer is an extremely small unit of length equal to 10⁻¹⁸ meters, or one quintillionth of a meter.
Mathematical Relationship
1 am = 10⁻¹⁸ m = 10⁻⁹ nm = 0.001 fm. One meter contains 10¹⁸ attometers.
Conversion Formula
To convert am to meters: multiply by 10⁻¹⁸. To convert meters to am: multiply by 10¹⁸.
Practical Applications
Measuring quark interaction distances and the scale of fundamental particle phenomena.
Interesting Facts
The effective size of a quark is estimated at less than 1 attometer — far smaller than a proton (~1,000 am across).
Common Mistakes
Confusing attometers with angstroms (Å = 10⁻¹⁰ m). Attometers are 100 million times smaller than an angstrom.
Educational Tips
Think of the prefix chain: milli (10⁻³), micro (10⁻⁶), nano (10⁻⁹), pico (10⁻¹²), femto (10⁻¹⁵), atto (10⁻¹⁸).