Convert A.u. of Length to Yard
Convert a.u. of length to yards instantly. 1 a.u. of length = 5.787152e-11 yard — use the live calculator, the exact formula, a conversion table and worked examples. Also check the Yard to A.u. of Length converter for the reverse conversion.
Units explained
A.u. of Length
The atomic unit of length (a.u.) is equal to the Bohr radius — approximately 5.292×10⁻¹¹ m. Despite the abbreviation matching 'astronomical unit', this is a different unit used in atomic and molecular physics.
The atomic unit system was developed in the 1950s for quantum-chemistry calculations. The a.u. of length is defined as the Bohr radius (a₀), the most probable distance between the proton and electron in a hydrogen atom in its ground state.
The atomic unit of length is used throughout quantum chemistry, electronic-structure theory, and computational physics. Most quantum-mechanical equations simplify when expressed in atomic units rather than SI units.
Atomic unit system developed by Hartree in the 1920s; value fixed via CODATA 2018 determination of fundamental physical constants.
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.
A.u. of Length to Yard conversion formula
The relationship between a.u. of length and yards:
To convert a.u. of length to yards, multiply the value in a.u. of length 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 A.u. of Length converter for the reverse direction.
Step-by-step: convert a.u. of length to yards
- Write down the value in a.u. of length (a.u.).
- 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 a.u. to yd:
1 × 5.787152e-11 = 5.787152e-11 yd
Example 2 — Convert 100 a.u. to yd:
100 × 5.787152e-11 = 5.787152e-9 yd
Real-world example — From sub-micron to human scale
One billion a.u. of length equals one yard — the conversion that drives home the gulf between atomic-scale features and everyday objects in physics curricula.
1e+9 a.u. × 5.787152e-11 = 0.0578715235 yd
Real-world example — Bridging nine orders of magnitude
500 million a.u. of length 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 a.u. × 5.787152e-11 = 0.0289357618 yd
A.u. of Length to Yard conversion table
Standard reference values for converting a.u. of length to yards:
| A.u. of Length [a.u.] | 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 a.u. of length?
How do I convert a.u. of length to yards?
How do I convert yards back to a.u. of length?
How many yards is 100 a.u. of length?
Popular length unit conversions
Convert A.u. of Length to other length units
Show all A.u. of Length conversions
Metric / SI (4 units)
Imperial / US Customary (4 units)
Astronomical (8 units)
Sources & references
Conversion factor (1 a.u. = 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 Astronomical Union — System of Astronomical Constants
The IAU defines astronomical units including the AU (149597870700 m exactly) light-year and parsec used in astronomy and astrophysics.