Electron Radius (Classical) to Parsec Converter
Unit Converter
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32 units available
6 categories total
How to Convert Electron Radius (Classical) to Parsec
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) = 9.132256e-32 Parsec (pc).
Electron Radius (Classical) to Parsec — Common Values
| Electron Radius (Classical) (re) | Parsec (pc) |
|---|---|
| 0.1 | 9.132256e-33 |
| 0.5 | 4.566128e-32 |
| 1 | 9.132256e-32 |
| 2 | 1.826451e-31 |
| 5 | 4.566128e-31 |
| 10 | 9.132256e-31 |
| 25 | 2.283064e-30 |
| 50 | 4.566128e-30 |
| 100 | 9.132256e-30 |
| 500 | 4.566128e-29 |
| 1000 | 9.132256e-29 |
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 Parsec (pc)
Definition
The parsec is an astronomical unit of length defined as the distance at which one astronomical unit subtends an angle of one arcsecond.
Mathematical Relationship
1 pc = 3.0857 × 10¹⁶ m = 3.2616 ly = 206,265 AU ≈ 30.857 trillion km.
Conversion Formula
To convert pc to light-years: multiply by 3.2616. To convert pc to AU: multiply by 206,265.
Practical Applications
Stellar catalogs, galaxy surveys, and cosmological distance calculations.
Interesting Facts
No known star is within 1 parsec of the Sun. Proxima Centauri is 1.30 pc away, making it the nearest star.
Common Mistakes
Pronouncing or interpreting 'parsec' as a unit of time (famously misused in Star Wars). It is strictly a distance unit.
Educational Tips
The parsec is defined geometrically: if a star's parallax (apparent shift over 6 months) is 1 arcsecond, it's 1 pc away.