Convert Bohr Radius to Yard
Convert bohr radii to yards instantly. 1 bohr radius = 5.787152e-11 yard — use the live calculator, the exact formula, a conversion table and worked examples. Also check the Yard to Bohr Radius converter for the reverse conversion.
Units explained
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.
Yard
A yard is an Imperial and US customary unit of length equal to 3 feet or exactly 0.9144 meters. It is used for medium distances, particularly in athletics and fabric/textile measurement.
The yard's origin is contested but traditionally attributed to the length from the tip of King Henry I's nose to the end of his outstretched thumb. It was standardized in English law from the medieval period and definitively fixed at 0.9144 m exactly by the 1959 International Yard and Pound Agreement.
Yards are used in American football (10 yards for a first down), golf course distances, fabric and carpet sales in the US, and short-distance running events. The UK uses yards informally and on road signs for short distances.
Standardized in English law from the Middle Ages; fixed at 0.9144 m exactly by the 1959 International Yard and Pound Agreement.
Bohr Radius to Yard conversion formula
The relationship between bohr radii and yards:
To convert bohr radii to yards, multiply the value in bohr radii by 5.787152e-11. To reverse, multiply yards by 1.727966e+10.
How to use this converter
Type a value into the calculator. The result in yards updates as you type. Tap a quick value, copy the result with one click, or use the swap arrow to jump straight to the Yard to Bohr Radius converter for the reverse direction.
Step-by-step: convert bohr radii to yards
- Write down the value in bohr radii (a₀).
- Multiply that value by the factor 5.787152e-11.
- The product is the equivalent value in yards (yd).
- To reverse, multiply the yard value by 1.727966e+10.
Worked examples
Example 1 — Convert 1 a₀ to yd:
1 × 5.787152e-11 = 5.787152e-11 yd
Example 2 — Convert 100 a₀ to yd:
100 × 5.787152e-11 = 5.787152e-9 yd
Real-world example — Bridging nine orders of magnitude
500 million bohr radii equals a value comfortably in the human-scale yards range. Physics problems that span this gap are common when comparing the wavelength of light to the path length of an experiment.
5e+8 a₀ × 5.787152e-11 = 0.0289357618 yd
Real-world example — From sub-micron to human scale
One billion bohr radii equals one yard — the conversion that drives home the gulf between atomic-scale features and everyday objects in physics curricula.
1e+9 a₀ × 5.787152e-11 = 0.0578715235 yd
Bohr Radius to Yard conversion table
Standard reference values for converting bohr radii to yards:
| Bohr Radius [a₀] | Yard [yd] |
|---|---|
| 0.01 | 5.787152e-13 |
| 0.1 | 5.787152e-12 |
| 1 | 5.787152e-11 |
| 2 | 1.15743e-10 |
| 3 | 1.736146e-10 |
| 4 | 2.314861e-10 |
| 5 | 2.893576e-10 |
| 10 | 5.787152e-10 |
| 20 | 1.15743e-9 |
| 30 | 1.736146e-9 |
| 40 | 2.314861e-9 |
| 50 | 2.893576e-9 |
| 100 | 5.787152e-9 |
| 500 | 2.893576e-8 |
| 1000 | 5.787152e-8 |
Frequently asked questions
How many yards is 1 bohr radius?
How do I convert bohr radii to yards?
How do I convert yards back to bohr radii?
How many yards is 100 bohr radii?
Popular length unit conversions
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Metric / SI (4 units)
Imperial / US Customary (4 units)
Sources & references
Conversion factor (1 a₀ = 5.787152e-11 yd) 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.