Bohr Radius to Light Year Converter
Unit Converter
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32 units available
6 categories total
How to Convert Bohr Radius to Light Year
To convert Bohr radii to meters: multiply by 5.29177210903 × 10⁻¹¹.
a₀ = ℏ/(mec α) = 4πε₀ℏ²/(mee²) ≈ 5.29177 × 10⁻¹¹ m, where α is the fine-structure constant.
For example, 1 Bohr Radius (a₀) = 5.593426e-27 Light Year (ly).
Bohr Radius to Light Year — Common Values
| Bohr Radius (a₀) | Light Year (ly) |
|---|---|
| 0.1 | 5.593426e-28 |
| 0.5 | 2.796713e-27 |
| 1 | 5.593426e-27 |
| 2 | 1.118685e-26 |
| 5 | 2.796713e-26 |
| 10 | 5.593426e-26 |
| 25 | 1.398356e-25 |
| 50 | 2.796713e-25 |
| 100 | 5.593426e-25 |
| 500 | 2.796713e-24 |
| 1000 | 5.593426e-24 |
About Bohr Radius (a₀)
Definition
The Bohr radius is the most probable distance between the nucleus and the electron in a ground-state hydrogen atom, approximately 5.292 × 10⁻¹¹ meters.
Mathematical Relationship
a₀ = ℏ/(mec α) = 4πε₀ℏ²/(mee²) ≈ 5.29177 × 10⁻¹¹ m, where α is the fine-structure constant.
Conversion Formula
To convert Bohr radii to meters: multiply by 5.29177210903 × 10⁻¹¹.
Practical Applications
Sets the characteristic scale for atomic sizes. Most atoms have radii of 1–3 Bohr radii.
Interesting Facts
The Bohr radius gives atoms their characteristic size of ~1 Å (10⁻¹⁰ m), explaining why matter has the volume it does.
Common Mistakes
Confusing Bohr radius with atomic radius — the Bohr radius is specific to hydrogen; other atoms have different sizes.
Educational Tips
The Bohr radius tells you 'how big atoms are' — about 0.5 angstroms. It's the atomic analog of a ruler for atomic-scale physics.
About Light Year (ly)
Definition
The light-year is the distance that light travels in one Julian year (365.25 days) in a vacuum, approximately 9.461 × 10¹⁵ meters.
Mathematical Relationship
1 ly = 9.4607 × 10¹⁵ m = 63,241 AU = 0.3066 pc ≈ 9.461 trillion km.
Conversion Formula
To convert ly to km: multiply by 9.461 × 10¹². To convert ly to parsecs: multiply by 0.3066.
Practical Applications
Expressing distances to stars: Proxima Centauri ≈ 4.24 ly, Sirius ≈ 8.6 ly, Vega ≈ 25 ly.
Interesting Facts
When you see a star 100 light-years away, you're seeing it as it was 100 years ago — you're literally looking into the past.
Common Mistakes
Thinking a light-year is a unit of time — it's a unit of distance! It's how far light travels in one year.
Educational Tips
Light speed = ~300,000 km/s. In one year, light covers ~9.46 trillion km. That distance is one light-year.