Bohr Radius to Hectometer Converter
Unit Converter
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32 units available
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How to Convert Bohr Radius to Hectometer
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-13 Hectometer (hm).
Bohr Radius to Hectometer — Common Values
| Bohr Radius (a₀) | Hectometer (hm) |
|---|---|
| 0.1 | 5.291772e-14 |
| 0.5 | 2.645886e-13 |
| 1 | 5.291772e-13 |
| 2 | 1.058354e-12 |
| 5 | 2.645886e-12 |
| 10 | 5.291772e-12 |
| 25 | 1.322943e-11 |
| 50 | 2.645886e-11 |
| 100 | 5.291772e-11 |
| 500 | 2.645886e-10 |
| 1000 | 5.291772e-10 |
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 Hectometer (hm)
Definition
The hectometer is a unit of length equal to 100 meters, or one tenth of a kilometer.
Mathematical Relationship
1 hm = 100 m = 0.1 km = 10 dam. One square hectometer (hm²) equals one hectare.
Conversion Formula
To convert hm to meters: multiply by 100. To convert hm to km: divide by 10.
Practical Applications
The hectare (1 hm²) is its most common derived application. Occasionally used for short road distances.
Interesting Facts
A 100-meter Olympic sprint is exactly 1 hectometer. The hectare = 1 hm² is far more famous than the hectometer itself.
Common Mistakes
Confusing hectometer with hectare — the hectometer is a unit of length, the hectare is a unit of area (1 hectare = 1 hm²).
Educational Tips
A football field is roughly 1 hectometer long — use this as a mental benchmark for 100 meters.