Bohr Radius to Exameter Converter
Unit Converter
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32 units available
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How to Convert Bohr Radius to Exameter
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) = 5.291772e-29 Exameter (Em).
Bohr Radius to Exameter — Common Values
| Bohr Radius (a₀) | Exameter (Em) |
|---|---|
| 0.1 | 5.291772e-30 |
| 0.5 | 2.645886e-29 |
| 1 | 5.291772e-29 |
| 2 | 1.058354e-28 |
| 5 | 2.645886e-28 |
| 10 | 5.291772e-28 |
| 25 | 1.322943e-27 |
| 50 | 2.645886e-27 |
| 100 | 5.291772e-27 |
| 500 | 2.645886e-26 |
| 1000 | 5.291772e-26 |
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 Exameter (Em)
Definition
The exameter is a unit of length equal to 10¹⁸ meters, or about 105.7 light-years.
Mathematical Relationship
1 Em = 10¹⁸ m = 1,000 Pm ≈ 105.7 light-years ≈ 32.4 parsecs.
Conversion Formula
To convert Em to light-years: multiply by 105.7. To convert Em to parsecs: multiply by 32.4.
Practical Applications
No practical applications. Theoretical framework for expressing galactic neighborhood distances.
Interesting Facts
The Milky Way galaxy has a diameter of about 10 Em (100,000 light-years).
Common Mistakes
Em is almost never used — astronomers use parsecs or light-years. It exists only for SI completeness.
Educational Tips
Just remember: Exa = 10¹⁸. The Milky Way is about 10 Em across for a sense of scale.