Bohr Radius to Attometer Converter
Unit Converter
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32 units available
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How to Convert Bohr Radius to Attometer
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) = 52917721.09 Attometer (am).
Bohr Radius to Attometer — Common Values
| Bohr Radius (a₀) | Attometer (am) |
|---|---|
| 0.1 | 5291772.109 |
| 0.5 | 26458860.55 |
| 1 | 52917721.09 |
| 2 | 105835442.2 |
| 5 | 264588605.5 |
| 10 | 529177210.9 |
| 25 | 1322943027 |
| 50 | 2645886055 |
| 100 | 5291772109 |
| 500 | 26458860550 |
| 1000 | 52917721090 |
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 Attometer (am)
Definition
The attometer is an extremely small unit of length equal to 10⁻¹⁸ meters, or one quintillionth of a meter.
Mathematical Relationship
1 am = 10⁻¹⁸ m = 10⁻⁹ nm = 0.001 fm. One meter contains 10¹⁸ attometers.
Conversion Formula
To convert am to meters: multiply by 10⁻¹⁸. To convert meters to am: multiply by 10¹⁸.
Practical Applications
Measuring quark interaction distances and the scale of fundamental particle phenomena.
Interesting Facts
The effective size of a quark is estimated at less than 1 attometer — far smaller than a proton (~1,000 am across).
Common Mistakes
Confusing attometers with angstroms (Å = 10⁻¹⁰ m). Attometers are 100 million times smaller than an angstrom.
Educational Tips
Think of the prefix chain: milli (10⁻³), micro (10⁻⁶), nano (10⁻⁹), pico (10⁻¹²), femto (10⁻¹⁵), atto (10⁻¹⁸).