Parsec to Bohr Radius Converter
Unit Converter
Instant · Precise · Universal
32 units available
6 categories total
How to Convert Parsec to Bohr Radius
To convert pc to light-years: multiply by 3.2616. To convert pc to AU: multiply by 206,265.
1 pc = 3.0857 × 10¹⁶ m = 3.2616 ly = 206,265 AU ≈ 30.857 trillion km.
For example, 1 Parsec (pc) = 5.831128e+26 Bohr Radius (a₀).
Parsec to Bohr Radius — Common Values
| Parsec (pc) | Bohr Radius (a₀) |
|---|---|
| 0.1 | 5.831128e+25 |
| 0.5 | 2.915564e+26 |
| 1 | 5.831128e+26 |
| 2 | 1.166226e+27 |
| 5 | 2.915564e+27 |
| 10 | 5.831128e+27 |
| 25 | 1.457782e+28 |
| 50 | 2.915564e+28 |
| 100 | 5.831128e+28 |
| 500 | 2.915564e+29 |
| 1000 | 5.831128e+29 |
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.
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.