Convert A.u. of Length to Kiloparsec
Convert a.u. of length to kiloparsecs instantly. 1 a.u. of length = 1.714947e-30 kiloparsec — use the live calculator, the exact formula, a conversion table and worked examples. Also check the Kiloparsec 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.
Kiloparsec
A kiloparsec is a distance unit equal to 1,000 parsecs (about 3.09×10¹⁹ m). It is used to express galactic-scale distances.
Combines the metric-style prefix kilo- with the parsec. Standardised in astronomy as the natural unit for distances within and between galaxies.
Kiloparsecs are used to express galactic radii (the Milky Way is roughly 8 kpc from center to Sun), galactic-cluster scales, and distances within the Local Group.
Exact via the parsec; standardised by IAU 2015 along with parsec.
A.u. of Length to Kiloparsec conversion formula
The relationship between a.u. of length and kiloparsecs:
To convert a.u. of length to kiloparsecs, multiply the value in a.u. of length by 1.714947e-30. To reverse, multiply kiloparsecs by 5.831086e+29.
How to use this converter
Type a value into the calculator. The result in kiloparsecs updates as you type. Tap a quick value, copy the result with one click, or use the swap arrow to jump straight to the Kiloparsec to A.u. of Length converter for the reverse direction.
Step-by-step: convert a.u. of length to kiloparsecs
- Write down the value in a.u. of length (a.u.).
- Multiply that value by the factor 1.714947e-30.
- The product is the equivalent value in kiloparsecs (kpc).
- To reverse, multiply the kiloparsec value by 5.831086e+29.
Worked examples
Example 1 — Convert 1 a.u. to kpc:
1 × 1.714947e-30 = 1.714947e-30 kpc
Example 2 — Convert 100 a.u. to kpc:
100 × 1.714947e-30 = 1.714947e-28 kpc
Real-world example — Molecular dimensions
The diameter of small molecular structures (around 2 a.u. of length) is often converted into related sub-micron units when comparing measurements across different microscopy techniques or imaging modalities.
2 a.u. × 1.714947e-30 = 3.429893e-30 kpc
Real-world example — Wavelengths across the spectrum
Optical and atomic-scale phenomena are routinely cross-converted between sub-micron units. A photon of wavelength 800 a.u. of length can be re-expressed in kiloparsecs for direct comparison with another instrument's calibration data sheet.
800 a.u. × 1.714947e-30 = 1.371957e-27 kpc
A.u. of Length to Kiloparsec conversion table
Standard reference values for converting a.u. of length to kiloparsecs:
| A.u. of Length [a.u.] | Kiloparsec [kpc] |
|---|---|
| 0.01 | 1.714947e-32 |
| 0.1 | 1.714947e-31 |
| 1 | 1.714947e-30 |
| 2 | 3.429893e-30 |
| 3 | 5.14484e-30 |
| 4 | 6.859786e-30 |
| 5 | 8.574733e-30 |
| 10 | 1.714947e-29 |
| 20 | 3.429893e-29 |
| 30 | 5.14484e-29 |
| 40 | 6.859786e-29 |
| 50 | 8.574733e-29 |
| 100 | 1.714947e-28 |
| 500 | 8.574733e-28 |
| 1000 | 1.714947e-27 |
Frequently asked questions
How many kiloparsecs is 1 a.u. of length?
How do I convert a.u. of length to kiloparsecs?
How do I convert kiloparsecs back to a.u. of length?
How many kiloparsecs is 100 a.u. of length?
Popular length unit conversions
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Metric / SI (4 units)
Imperial / US Customary (4 units)
Astronomical (8 units)
Sources & references
Conversion factor (1 a.u. = 1.714947e-30 kpc) 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.