Electron Radius (Classical) to Decimeter Converter
Unit Converter
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32 units available
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How to Convert Electron Radius (Classical) to Decimeter
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-14 Decimeter (dm).
Electron Radius (Classical) to Decimeter — Common Values
| Electron Radius (Classical) (re) | Decimeter (dm) |
|---|---|
| 0.1 | 2.817940e-15 |
| 0.5 | 1.408970e-14 |
| 1 | 2.817940e-14 |
| 2 | 5.635881e-14 |
| 5 | 1.408970e-13 |
| 10 | 2.817940e-13 |
| 25 | 7.044851e-13 |
| 50 | 1.408970e-12 |
| 100 | 2.817940e-12 |
| 500 | 1.408970e-11 |
| 1000 | 2.817940e-11 |
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 Decimeter (dm)
Definition
The decimeter is a unit of length equal to one tenth of a meter (10⁻¹ m), or 10 centimeters.
Mathematical Relationship
1 dm = 0.1 m = 10 cm = 100 mm. One cubic decimeter (dm³) equals exactly 1 liter.
Conversion Formula
To convert dm to meters: divide by 10. To convert dm to inches: multiply by 3.937.
Practical Applications
The cubic decimeter (dm³ = 1 liter) is its most important practical application, linking length to volume.
Interesting Facts
The decimeter's greatest legacy is the liter — 1 liter is defined as exactly 1 dm³.
Common Mistakes
Rarely encountered, so people sometimes forget the conversion: 1 dm = 10 cm, not 100 cm.
Educational Tips
Remember: deci = 10⁻¹. The decimeter's main utility is connecting length to volume via 1 L = 1 dm³.