Gigameter to Bohr Radius Converter
Unit Converter
Instant · Precise · Universal
32 units available
6 categories total
How to Convert Gigameter to Bohr Radius
To convert Gm to km: multiply by 1,000,000. To convert Gm to AU: divide by 149.598.
1 Gm = 10⁹ m = 10⁶ km = 0.00668 AU.
For example, 1 Gigameter (Gm) = 1.889726e+19 Bohr Radius (a₀).
Gigameter to Bohr Radius — Common Values
| Gigameter (Gm) | Bohr Radius (a₀) |
|---|---|
| 0.1 | 1.889726e+18 |
| 0.5 | 9.448631e+18 |
| 1 | 1.889726e+19 |
| 2 | 3.779452e+19 |
| 5 | 9.448631e+19 |
| 10 | 1.889726e+20 |
| 25 | 4.724315e+20 |
| 50 | 9.448631e+20 |
| 100 | 1.889726e+21 |
| 500 | 9.448631e+21 |
| 1000 | 1.889726e+22 |
About Gigameter (Gm)
Definition
The gigameter is a unit of length equal to 10⁹ meters, or one billion meters (one million kilometers).
Mathematical Relationship
1 Gm = 10⁹ m = 10⁶ km = 0.00668 AU.
Conversion Formula
To convert Gm to km: multiply by 1,000,000. To convert Gm to AU: divide by 149.598.
Practical Applications
Describing distances between planets in a compact metric format, though AU is preferred.
Interesting Facts
Light travels about 0.3 Gm per second (299,792 km/s ≈ 0.3 Gm/s).
Common Mistakes
Mixing up Gm with Gb (gigabyte) in mixed technical contexts. Context matters for the prefix 'giga'.
Educational Tips
The Sun is ~150 Gm away from Earth — this is a useful anchor for the gigameter scale.
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.