Centimeter to Bohr Radius Converter
Unit Converter
Instant · Precise · Universal
32 units available
6 categories total
How to Convert Centimeter to Bohr Radius
To convert cm to inches: divide by 2.54. To convert inches to cm: multiply by 2.54.
1 cm = 0.01 m = 10 mm = 0.3937 inches. There are 2.54 cm in one inch.
For example, 1 Centimeter (cm) = 188972612.5 Bohr Radius (a₀).
Centimeter to Bohr Radius — Common Values
| Centimeter (cm) | Bohr Radius (a₀) |
|---|---|
| 0.1 | 18897261.25 |
| 0.5 | 94486306.23 |
| 1 | 188972612.5 |
| 2 | 377945224.9 |
| 5 | 944863062.3 |
| 10 | 1889726125 |
| 25 | 4724315312 |
| 50 | 9448630623 |
| 100 | 18897261250 |
| 500 | 94486306230 |
| 1000 | 188972612500 |
About Centimeter (cm)
Definition
The centimeter is a unit of length equal to one hundredth of a meter (10⁻² m), or 10 millimeters.
Mathematical Relationship
1 cm = 0.01 m = 10 mm = 0.3937 inches. There are 2.54 cm in one inch.
Conversion Formula
To convert cm to inches: divide by 2.54. To convert inches to cm: multiply by 2.54.
Practical Applications
Measuring height, waist circumference, screen sizes, furniture dimensions, and map scales.
Interesting Facts
The CGS system was the primary scientific system for over a century. 1 cm is roughly the width of an adult fingernail.
Common Mistakes
Confusing cm and inches — a common error in international contexts. Always verify which system a measurement uses.
Educational Tips
Your fingernail width is roughly 1 cm — a handy mental reference that's always available.
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.