Bohr Radius to Megaparsec Converter
Unit Converter
Instant · Precise · Universal
32 units available
6 categories total
How to Convert Bohr Radius to Megaparsec
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) = 1.714934e-33 Megaparsec (Mpc).
Bohr Radius to Megaparsec — Common Values
| Bohr Radius (a₀) | Megaparsec (Mpc) |
|---|---|
| 0.1 | 1.714934e-34 |
| 0.5 | 8.574670e-34 |
| 1 | 1.714934e-33 |
| 2 | 3.429868e-33 |
| 5 | 8.574670e-33 |
| 10 | 1.714934e-32 |
| 25 | 4.287335e-32 |
| 50 | 8.574670e-32 |
| 100 | 1.714934e-31 |
| 500 | 8.574670e-31 |
| 1000 | 1.714934e-30 |
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 Megaparsec (Mpc)
Definition
The megaparsec is equal to one million parsecs, approximately 3.26 million light-years, used for measuring distances between galaxies and in cosmology.
Mathematical Relationship
1 Mpc = 10⁶ pc = 3.0857 × 10²² m ≈ 3.262 × 10⁶ light-years.
Conversion Formula
To convert Mpc to light-years: multiply by 3.262 × 10⁶. To convert Mpc to meters: multiply by 3.0857 × 10²².
Practical Applications
Measuring distances to galaxy clusters, Hubble flow calculations, and large-scale structure mapping.
Interesting Facts
The Andromeda Galaxy is about 0.78 Mpc away. The Virgo Cluster is about 16.5 Mpc distant.
Common Mistakes
Confusing Mpc with kpc — they differ by a factor of 1,000. kpc = within galaxies, Mpc = between galaxies.
Educational Tips
Hubble's constant links distance (Mpc) to recession speed (km/s): the farther away a galaxy is, the faster it recedes.