Bohr Radius to Meter Converter
Unit Converter
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32 units available
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How to Convert Bohr Radius to Meter
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-11 Meter (m).
Bohr Radius to Meter — Common Values
| Bohr Radius (a₀) | Meter (m) |
|---|---|
| 0.1 | 5.291772e-12 |
| 0.5 | 2.645886e-11 |
| 1 | 5.291772e-11 |
| 2 | 1.058354e-10 |
| 5 | 2.645886e-10 |
| 10 | 5.291772e-10 |
| 25 | 1.322943e-9 |
| 50 | 2.645886e-9 |
| 100 | 5.291772e-9 |
| 500 | 2.645886e-8 |
| 1000 | 5.291772e-8 |
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 Meter (m)
Definition
The meter is the base unit of length in the International System of Units (SI), defined as the distance light travels in a vacuum in 1/299,792,458 of a second.
Mathematical Relationship
1 m = 100 cm = 1,000 mm = 0.001 km. It is the base unit, so all other metric length units are derived by powers of 10.
Conversion Formula
To convert meters to feet: multiply by 3.28084. To convert meters to inches: multiply by 39.3701.
Practical Applications
Used for measuring room dimensions, building heights, athletic track distances, fabric lengths, and everyday object sizes.
Interesting Facts
The speed of light is exactly 299,792,458 m/s by definition — the meter is actually defined from this constant, not the other way around.
Common Mistakes
Confusing meters with yards — a meter is about 10% longer than a yard. Also, mixing up 'm' (meter) with 'mi' (mile).
Educational Tips
Remember: a doorway is roughly 2 meters tall, and an adult's stride is about 0.7–0.8 meters. Use these as mental benchmarks.