Kilometer to Bohr Radius Converter
Unit Converter
Instant · Precise · Universal
32 units available
6 categories total
How to Convert Kilometer to Bohr Radius
To convert km to miles: multiply by 0.621371. To convert miles to km: multiply by 1.60934.
1 km = 1,000 m = 100,000 cm = 0.621371 miles. There are 1.60934 km in one mile.
For example, 1 Kilometer (km) = 1.889726e+13 Bohr Radius (a₀).
Kilometer to Bohr Radius — Common Values
| Kilometer (km) | Bohr Radius (a₀) |
|---|---|
| 0.1 | 1.889726e+12 |
| 0.5 | 9.448631e+12 |
| 1 | 1.889726e+13 |
| 2 | 3.779452e+13 |
| 5 | 9.448631e+13 |
| 10 | 1.889726e+14 |
| 25 | 4.724315e+14 |
| 50 | 9.448631e+14 |
| 100 | 1.889726e+15 |
| 500 | 9.448631e+15 |
| 1000 | 1.889726e+16 |
About Kilometer (km)
Definition
The kilometer is a unit of length equal to 1,000 meters, commonly used to express distances between geographic locations.
Mathematical Relationship
1 km = 1,000 m = 100,000 cm = 0.621371 miles. There are 1.60934 km in one mile.
Conversion Formula
To convert km to miles: multiply by 0.621371. To convert miles to km: multiply by 1.60934.
Practical Applications
Road signs, marathon distances (42.195 km), GPS navigation, geographic mapping, and aviation flight distances.
Interesting Facts
A marathon is 42.195 km. The circumference of Earth is approximately 40,075 km at the equator.
Common Mistakes
Assuming 1 km = 1 mile. A kilometer is only about 62% of a mile. Also, speed: 100 km/h ≈ 62 mph, not 100 mph.
Educational Tips
Quick approximation: multiply km by 0.6 to estimate miles, or multiply miles by 1.6 for km.
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.