Convert Foot to Bohr Radius
Convert feet to bohr radii instantly. 1 foot = 5.759885e+9 bohr radius — use the live calculator, the exact formula, a conversion table and worked examples. Also check the Bohr Radius to Foot converter for the reverse conversion.
Units explained
Foot
A foot is an Imperial and US customary unit of length equal to 12 inches or exactly 0.3048 meters. It is the most commonly used unit of length in everyday measurement in the United States.
The foot's origin is literally the length of a human foot, used as a measurement standard since antiquity. The English foot was standardized at various points in history; the modern international foot (0.3048 m exactly) was fixed by the 1959 International Yard and Pound Agreement.
Feet are used in the US for body height, building dimensions, room sizes, road sign clearances, aviation altitude (feet above sea level), and most everyday distance estimation. The UK uses feet informally for height despite officially being metric.
Used since antiquity; standardized to 0.3048 m exactly by the International Yard and Pound Agreement of 1959. Aviation worldwide uses feet for altitude despite metric adoption elsewhere.
Bohr Radius
The Bohr radius is approximately 5.292×10⁻¹¹ meters — the most probable distance between the proton and electron in a hydrogen atom in its ground state.
Defined by Niels Bohr in his 1913 model of the hydrogen atom. The current CODATA 2018 value of 5.29177210903×10⁻¹¹ m is derived from the elementary charge, electron mass, and Planck's constant.
The Bohr radius is used throughout atomic physics, quantum chemistry, and computational chemistry as the natural length scale for electronic-structure calculations. The atomic unit (a.u.) of length equals the Bohr radius.
Defined by Bohr in 1913; current value via CODATA 2018.
Foot to Bohr Radius conversion formula
The relationship between feet and bohr radii:
To convert feet to bohr radii, multiply the value in feet by 5.759885e+9. To reverse, multiply bohr radii by 1.736146e-10.
How to use this converter
Type a value into the calculator. The result in bohr radii updates as you type. Tap a quick value, copy the result with one click, or use the swap arrow to jump straight to the Bohr Radius to Foot converter for the reverse direction.
Step-by-step: convert feet to bohr radii
- Write down the value in feet (ft).
- Multiply that value by the factor 5.759885e+9.
- The product is the equivalent value in bohr radii (a₀).
- To reverse, multiply the bohr radius value by 1.736146e-10.
Worked examples
Example 1 — Convert 1 ft to a₀:
1 × 5.759885e+9 = 5.759885e+9 a₀
Example 2 — Convert 100 ft to a₀:
100 × 5.759885e+9 = 5.759885e+11 a₀
Real-world example — Meter to nanoscale
One foot equals one billion bohr radii. Physics curricula use this conversion to teach orders of magnitude when introducing the electromagnetic spectrum.
1 ft × 5.759885e+9 = 5.759885e+9 a₀
Real-world example — Human-scale to atomic dimensions
One foot equals one billion bohr radii — the canonical metric conversion bridging everyday objects and atomic-scale features in physics, chemistry, and electronics.
1 ft × 5.759885e+9 = 5.759885e+9 a₀
Foot to Bohr Radius conversion table
Standard reference values for converting feet to bohr radii:
| Foot [ft] | Bohr Radius [a₀] |
|---|---|
| 0.01 | 5.759885e+7 |
| 0.1 | 5.759885e+8 |
| 1 | 5.759885e+9 |
| 2 | 1.151977e+10 |
| 3 | 1.727966e+10 |
| 4 | 2.303954e+10 |
| 5 | 2.879943e+10 |
| 10 | 5.759885e+10 |
| 20 | 1.151977e+11 |
| 30 | 1.727966e+11 |
| 40 | 2.303954e+11 |
| 50 | 2.879943e+11 |
| 100 | 5.759885e+11 |
| 500 | 2.879943e+12 |
| 1000 | 5.759885e+12 |
Frequently asked questions
How many bohr radii is 1 foot?
How do I convert feet to bohr radii?
How do I convert bohr radii back to feet?
How many bohr radii is 100 feet?
Popular length unit conversions
Convert Foot to other length units
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Metric / SI (18 units)
Imperial / US Customary (26 units)
Nautical (1 units)
Astronomical (9 units)
Atomic / Physics (6 units)
Typographic (3 units)
Sources & references
Conversion factor (1 ft = 5.759885e+9 a₀) verified against the following authoritative sources:
- BIPM — The International System of Units (SI Brochure 9th ed.)
Official BIPM publication defining the seven SI base units (including the meter) and the rules for their use. The global authority on units of measurement.
- NIST — Guide to the SI
US National Institute of Standards and Technology reference covering the SI base and derived units with definitions and usage rules for US technical practice.
- NIST Special Publication 811 — Guide for the Use of the International System of Units
Detailed NIST guide covering exact conversion factors between SI and US customary units along with formatting and rounding conventions.
- NIST — Refinement of values for the yard and pound (Federal Register 1959)
The treaty (signed by US
- International Hydrographic Organization — Resolution on the Nautical Mile
International authority that standardised the nautical mile at exactly 1852 m in 1929 — the value adopted worldwide for sea and air navigation.