Bohr Radius to Inch Converter
Unit Converter
Instant · Precise · Universal
32 units available
6 categories total
How to Convert Bohr Radius to Inch
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) = 2.083375e-9 Inch (in).
Bohr Radius to Inch — Common Values
| Bohr Radius (a₀) | Inch (in) |
|---|---|
| 0.1 | 2.083375e-10 |
| 0.5 | 1.041687e-9 |
| 1 | 2.083375e-9 |
| 2 | 4.166750e-9 |
| 5 | 1.041687e-8 |
| 10 | 2.083375e-8 |
| 25 | 5.208437e-8 |
| 50 | 1.041687e-7 |
| 100 | 2.083375e-7 |
| 500 | 0.000001041687423 |
| 1000 | 0.000002083374846 |
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 Inch (in)
Definition
The inch is a unit of length in the imperial and US customary systems, defined as exactly 25.4 millimeters.
Mathematical Relationship
1 in = 25.4 mm = 2.54 cm = 1/12 ft = 1/36 yd.
Conversion Formula
To convert inches to cm: multiply by 2.54. To convert cm to inches: divide by 2.54.
Practical Applications
Screen sizes (TVs, monitors), drill bit sizes, pipe diameters, screw dimensions, and rainfall measurement in the US.
Interesting Facts
King Edward II of England defined the inch as 'three grains of barley, dry and round, placed end to end' in 1324.
Common Mistakes
Forgetting that fractions of an inch use powers of 2 (1/2, 1/4, 1/8, 1/16), not decimal subdivisions like metric.
Educational Tips
Your thumb from tip to first knuckle is roughly 1 inch — a handy (literal) reference.