Bohr Radius to Decameter Converter
Unit Converter
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32 units available
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How to Convert Bohr Radius to Decameter
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-12 Decameter (dam).
Bohr Radius to Decameter — Common Values
| Bohr Radius (a₀) | Decameter (dam) |
|---|---|
| 0.1 | 5.291772e-13 |
| 0.5 | 2.645886e-12 |
| 1 | 5.291772e-12 |
| 2 | 1.058354e-11 |
| 5 | 2.645886e-11 |
| 10 | 5.291772e-11 |
| 25 | 1.322943e-10 |
| 50 | 2.645886e-10 |
| 100 | 5.291772e-10 |
| 500 | 2.645886e-9 |
| 1000 | 5.291772e-9 |
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 Decameter (dam)
Definition
The decameter (or dekameter) is a unit of length equal to 10 meters.
Mathematical Relationship
1 dam = 10 m = 0.01 km = 1,000 cm. One hectare = 100 m × 100 m = 10 dam × 10 dam.
Conversion Formula
To convert dam to meters: multiply by 10. To convert dam to feet: multiply by 32.8084.
Practical Applications
Occasionally used in plot/field dimensions in agriculture and in some European forestry measurements.
Interesting Facts
The decameter is one of the least-used SI prefixed units. Most people skip from meters to hectometers or kilometers.
Common Mistakes
Confusing 'dam' (decameter) with 'dm' (decimeter) — they differ by a factor of 100.
Educational Tips
Remember: deca = 10, deci = 0.1. They're opposite prefixes — deca makes larger, deci makes smaller.