How to convert atomic units of length to astronomical units
1 a.u. of length is equal to 3.537331169 × 10⁻²² astronomical units, and 1 astronomical unit is equal to 2.826990045 × 10²¹ atomic units of length. To convert, multiply by the conversion factor:
astronomical units = atomic units of length × 3.537331169 × 10⁻²²
astronomical units = atomic units of length ÷ 2.826990045 × 10²¹Example: convert 1 a₀ to au: 1 × 3.537331169 × 10⁻²² = 3.537331169 × 10⁻²² au.
A.u. of Length to Astronomical Unit conversion table
| A.u. of Length (a₀) | Astronomical Unit (au) |
|---|---|
| 0.01 a₀ | 3.537331169 × 10⁻²⁴ au |
| 0.1 a₀ | 3.537331169 × 10⁻²³ au |
| 1 a₀ | 3.537331169 × 10⁻²² au |
| 2 a₀ | 7.074662339 × 10⁻²² au |
| 3 a₀ | 1.061199351 × 10⁻²¹ au |
| 5 a₀ | 1.768665585 × 10⁻²¹ au |
| 10 a₀ | 3.537331169 × 10⁻²¹ au |
| 20 a₀ | 7.074662339 × 10⁻²¹ au |
| 50 a₀ | 1.768665585 × 10⁻²⁰ au |
| 100 a₀ | 3.537331169 × 10⁻²⁰ au |
| 250 a₀ | 8.843327924 × 10⁻²⁰ au |
| 500 a₀ | 1.768665585 × 10⁻¹⁹ au |
| 1,000 a₀ | 3.537331169 × 10⁻¹⁹ au |
About the a.u. of length
The atomic unit of length is the Bohr radius, about 5.29 × 10⁻¹¹ m: the most probable distance between the proton and electron in a hydrogen atom.
Symbol: a₀ · 1 a₀ = 5.291772109 × 10⁻¹¹ m · Category: Atomic & physics
About the astronomical unit
The astronomical unit is exactly 149,597,870,700 m, roughly the average distance from Earth to the Sun. It's used for distances within the solar system.
Symbol: au · 1 au = 149,597,870,700 m · Category: Astronomical