Bohr Radius to Parsec Converter
Unit Converter
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32 units available
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How to Convert Bohr Radius to Parsec
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) = 1.714934e-27 Parsec (pc).
Bohr Radius to Parsec — Common Values
| Bohr Radius (a₀) | Parsec (pc) |
|---|---|
| 0.1 | 1.714934e-28 |
| 0.5 | 8.574670e-28 |
| 1 | 1.714934e-27 |
| 2 | 3.429868e-27 |
| 5 | 8.574670e-27 |
| 10 | 1.714934e-26 |
| 25 | 4.287335e-26 |
| 50 | 8.574670e-26 |
| 100 | 1.714934e-25 |
| 500 | 8.574670e-25 |
| 1000 | 1.714934e-24 |
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 Parsec (pc)
Definition
The parsec is an astronomical unit of length defined as the distance at which one astronomical unit subtends an angle of one arcsecond.
Mathematical Relationship
1 pc = 3.0857 × 10¹⁶ m = 3.2616 ly = 206,265 AU ≈ 30.857 trillion km.
Conversion Formula
To convert pc to light-years: multiply by 3.2616. To convert pc to AU: multiply by 206,265.
Practical Applications
Stellar catalogs, galaxy surveys, and cosmological distance calculations.
Interesting Facts
No known star is within 1 parsec of the Sun. Proxima Centauri is 1.30 pc away, making it the nearest star.
Common Mistakes
Pronouncing or interpreting 'parsec' as a unit of time (famously misused in Star Wars). It is strictly a distance unit.
Educational Tips
The parsec is defined geometrically: if a star's parallax (apparent shift over 6 months) is 1 arcsecond, it's 1 pc away.