Bohr Radius to Megameter Converter
Unit Converter
Instant · Precise · Universal
32 units available
6 categories total
How to Convert Bohr Radius to Megameter
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-17 Megameter (Mm).
Bohr Radius to Megameter — Common Values
| Bohr Radius (a₀) | Megameter (Mm) |
|---|---|
| 0.1 | 5.291772e-18 |
| 0.5 | 2.645886e-17 |
| 1 | 5.291772e-17 |
| 2 | 1.058354e-16 |
| 5 | 2.645886e-16 |
| 10 | 5.291772e-16 |
| 25 | 1.322943e-15 |
| 50 | 2.645886e-15 |
| 100 | 5.291772e-15 |
| 500 | 2.645886e-14 |
| 1000 | 5.291772e-14 |
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 Megameter (Mm)
Definition
The megameter is a unit of length equal to 10⁶ meters (1,000 kilometers or one million meters).
Mathematical Relationship
1 Mm = 10⁶ m = 1,000 km = 1,000,000 m.
Conversion Formula
To convert Mm to km: multiply by 1,000. To convert Mm to miles: multiply by 621.371.
Practical Applications
Describing planetary diameters and distances within the solar system in a compact metric form.
Interesting Facts
Earth's diameter ≈ 12.7 Mm. The circumference of Earth ≈ 40 Mm — this is by design, as the meter was originally defined from it.
Common Mistakes
Uppercase matters: 'Mm' = megameter (10⁶ m), 'mm' = millimeter (10⁻³ m) — a factor of 10⁹ difference!
Educational Tips
Remember the SI prefix pattern: kilo (10³), mega (10⁶), giga (10⁹). Each step is 1,000× larger.