Convert Yard to Bohr Radius
Convert yards to bohr radii instantly. 1 yard = 1.727966e+10 bohr radius — use the live calculator, the exact formula, a conversion table and worked examples. Also check the Bohr Radius to Yard converter for the reverse conversion.
Units explained
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
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 to Bohr Radius conversion formula
The relationship between yards and bohr radii:
To convert yards to bohr radii, multiply the value in yards by 1.727966e+10. To reverse, multiply bohr radii by 5.787152e-11.
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 Yard converter for the reverse direction.
Step-by-step: convert yards to bohr radii
- Write down the value in yards (yd).
- Multiply that value by the factor 1.727966e+10.
- The product is the equivalent value in bohr radii (a₀).
- To reverse, multiply the bohr radius value by 5.787152e-11.
Worked examples
Example 1 — Convert 1 yd to a₀:
1 × 1.727966e+10 = 1.727966e+10 a₀
Example 2 — Convert 100 yd to a₀:
100 × 1.727966e+10 = 1.727966e+12 a₀
Real-world example — Meter to nanoscale
One yard equals one billion bohr radii. Physics curricula use this conversion to teach orders of magnitude when introducing the electromagnetic spectrum.
1 yd × 1.727966e+10 = 1.727966e+10 a₀
Real-world example — Human-scale to atomic dimensions
One yard equals one billion bohr radii — the canonical metric conversion bridging everyday objects and atomic-scale features in physics, chemistry, and electronics.
1 yd × 1.727966e+10 = 1.727966e+10 a₀
Yard to Bohr Radius conversion table
Standard reference values for converting yards to bohr radii:
| Yard [yd] | Bohr Radius [a₀] |
|---|---|
| 0.01 | 1.727966e+8 |
| 0.1 | 1.727966e+9 |
| 1 | 1.727966e+10 |
| 2 | 3.455931e+10 |
| 3 | 5.183897e+10 |
| 4 | 6.911862e+10 |
| 5 | 8.639828e+10 |
| 10 | 1.727966e+11 |
| 20 | 3.455931e+11 |
| 30 | 5.183897e+11 |
| 40 | 6.911862e+11 |
| 50 | 8.639828e+11 |
| 100 | 1.727966e+12 |
| 500 | 8.639828e+12 |
| 1000 | 1.727966e+13 |
Frequently asked questions
How many bohr radii is 1 yard?
How do I convert yards to bohr radii?
How do I convert bohr radii back to yards?
How many bohr radii is 100 yards?
Popular length unit conversions
Convert Yard 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 yd = 1.727966e+10 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.