Electron Radius (Classical) to Petameter Converter
Unit Converter
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32 units available
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How to Convert Electron Radius (Classical) to Petameter
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-30 Petameter (Pm).
Electron Radius (Classical) to Petameter — Common Values
| Electron Radius (Classical) (re) | Petameter (Pm) |
|---|---|
| 0.1 | 2.817940e-31 |
| 0.5 | 1.408970e-30 |
| 1 | 2.817940e-30 |
| 2 | 5.635881e-30 |
| 5 | 1.408970e-29 |
| 10 | 2.817940e-29 |
| 25 | 7.044851e-29 |
| 50 | 1.408970e-28 |
| 100 | 2.817940e-28 |
| 500 | 1.408970e-27 |
| 1000 | 2.817940e-27 |
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 Petameter (Pm)
Definition
The petameter is a unit of length equal to 10¹⁵ meters, or about 0.1 light-years.
Mathematical Relationship
1 Pm = 10¹⁵ m ≈ 0.1057 light-years ≈ 0.0324 parsecs.
Conversion Formula
To convert Pm to light-years: divide by 9.461. To convert Pm to parsecs: divide by 30.857.
Practical Applications
No practical everyday applications. Would describe distances to nearby stars in metric.
Interesting Facts
1 light-year ≈ 9.46 Pm. The Oort Cloud extends to roughly 15,000 Pm from the Sun.
Common Mistakes
Case sensitivity is critical: Pm (petameter) vs. pm (picometer) differ by a factor of 10²⁷!
Educational Tips
Remember: 1 light-year ≈ 9.46 Pm, so a few Pm is a fraction of the distance to the nearest star.