Sun's Radius to Electron Radius (Classical) Converter
Unit Converter
Instant · Precise · Universal
32 units available
6 categories total
How to Convert Sun's Radius to Electron Radius (Classical)
To convert solar radii to km: multiply by 696,340. To convert solar radii to AU: multiply by 0.00465.
1 R☉ = 6.9634 × 10⁸ m = 696,340 km ≈ 109 × Earth's radius ≈ 0.00465 AU.
For example, 1 Sun's Radius (R☉) = 2.471096e+23 Electron Radius (Classical) (re).
Sun's Radius to Electron Radius (Classical) — Common Values
| Sun's Radius (R☉) | Electron Radius (Classical) (re) |
|---|---|
| 0.1 | 2.471096e+22 |
| 0.5 | 1.235548e+23 |
| 1 | 2.471096e+23 |
| 2 | 4.942191e+23 |
| 5 | 1.235548e+24 |
| 10 | 2.471096e+24 |
| 25 | 6.177739e+24 |
| 50 | 1.235548e+25 |
| 100 | 2.471096e+25 |
| 500 | 1.235548e+26 |
| 1000 | 2.471096e+26 |
About Sun's Radius (R☉)
Definition
The solar radius is the radius of the Sun, approximately 6.9634 × 10⁸ meters (about 696,340 km).
Mathematical Relationship
1 R☉ = 6.9634 × 10⁸ m = 696,340 km ≈ 109 × Earth's radius ≈ 0.00465 AU.
Conversion Formula
To convert solar radii to km: multiply by 696,340. To convert solar radii to AU: multiply by 0.00465.
Practical Applications
Describing stellar sizes: Betelgeuse ≈ 700 R☉, Sirius ≈ 1.7 R☉, a white dwarf ≈ 0.01 R☉.
Interesting Facts
You could line up about 109 Earths across the Sun's diameter. The largest known star (UY Scuti) is about 1,700 R☉.
Common Mistakes
Confusing solar radius with solar diameter — the diameter is 2 R☉. Also, stellar catalogs list radius, not diameter.
Educational Tips
The Sun's radius (109 × Earth) gives a sense of scale: you could fit over a million Earths inside the Sun by volume.
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.