Bohr Radius to Petameter
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How to Convert Bohr Radius to Petameter
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-26 Petameter (Pm).
Bohr Radius to Petameter — Common Values
| Bohr Radius (a₀) | Petameter (Pm) |
|---|---|
| 0.1 | 5.291772e-27 |
| 0.5 | 2.645886e-26 |
| 1 | 5.291772e-26 |
| 2 | 1.058354e-25 |
| 5 | 2.645886e-25 |
| 10 | 5.291772e-25 |
| 25 | 1.322943e-24 |
| 50 | 2.645886e-24 |
| 100 | 5.291772e-24 |
| 500 | 2.645886e-23 |
| 1000 | 5.291772e-23 |
About Bohr Radius (a₀)
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.
a₀ = ℏ/(mec α) = 4πε₀ℏ²/(mee²) ≈ 5.29177 × 10⁻¹¹ m, where α is the fine-structure constant.
To convert Bohr radii to meters: multiply by 5.29177210903 × 10⁻¹¹.
Sets the characteristic scale for atomic sizes. Most atoms have radii of 1–3 Bohr radii.
The Bohr radius gives atoms their characteristic size of ~1 Å (10⁻¹⁰ m), explaining why matter has the volume it does.
Confusing Bohr radius with atomic radius — the Bohr radius is specific to hydrogen; other atoms have different sizes.
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.
