📏 Å to au — Angstrom to Astronomical Unit Converter

Convert length and distance units — meters, feet, inches, kilometers, miles, light years and more.

1 unit =
From
To
Formula 1 Å = 6.68459×10⁻²² au
UnitNameValue
0.001 Å6.684e-25 au
0.01 Å6.684e-24 au
0.1 Å6.684e-23 au
1 Å6.684e-22 au
5 Å3.342e-21 au
10 Å6.684e-21 au
50 Å3.342e-20 au
100 Å6.684e-20 au
1000 Å6.684e-19 au

How to convert angstroms to astronomical units

Multiply the number of angstroms by 6.68459×10⁻²² to get astronomical units. Formula: au = Å × 6.68459×10⁻²². For example, 1,000 Å × 6.68459×10⁻²² = 6.685×10⁻¹⁹ au. To reverse, divide astronomical units by 6.68459×10⁻²² (or multiply by 1.496×10²¹).

Worked examples

Example 1 — Hydrogen atom radius
0.53 Å × 6.68459×10⁻²² = 3.54×10⁻²² au
The Bohr radius of a hydrogen atom is 0.529 Å — one of the most fundamental lengths in atomic physics, expressed in AU it is vanishingly small compared to any astronomical distance.
Example 2 — Visible light wavelength
5,500 Å × 6.68459×10⁻²² = 3.676×10⁻¹⁸ au
Green light (550 nm = 5,500 Å) is the peak sensitivity of the human eye. Converting its wavelength to AU shows how incomprehensibly small light waves are compared to solar system distances.
Example 3 — Crystal lattice spacing
3.52 Å × 6.68459×10⁻²² = 2.353×10⁻²¹ au
The lattice parameter of diamond is 3.567 Å — the distance between carbon atoms. Crystallographers routinely work in angstroms because atomic spacings fall naturally in the 1–10 Å range.
Example 4 — X-ray wavelength
1.54 Å × 6.68459×10⁻²² = 1.029×10⁻²¹ au
Copper Kα X-rays (wavelength 1.54 Å) are the most widely used in X-ray crystallography. The angstrom became the natural unit for this field because X-ray wavelengths match atomic bond lengths.

Angstrom to astronomical unit — reference table

Angstroms (Å)Astronomical Units (au)Context
0.1 Å6.685×10⁻²³ auSmallest atomic bond (H–H: 0.74 Å)
0.53 Å3.542×10⁻²² auHydrogen Bohr radius
1 Å6.685×10⁻²² au1 ångström — named unit baseline
1.54 Å1.029×10⁻²¹ auC–C bond length / Cu Kα X-ray
2 Å1.337×10⁻²¹ auTypical covalent bond range
3.52 Å2.353×10⁻²¹ auDiamond lattice parameter
10 Å6.685×10⁻²¹ au1 nanometer = 10 Å
100 Å6.685×10⁻²⁰ auSmall protein molecule diameter
400 Å2.674×10⁻¹⁹ auViolet light wavelength (40 nm)
5,500 Å3.676×10⁻¹⁸ auGreen light — peak human vision
7,000 Å4.679×10⁻¹⁸ auRed light wavelength limit
10,000 Å6.685×10⁻¹⁸ au1 micron (μm) = 10,000 Å
1,000,000 Å6.685×10⁻¹⁶ au0.1 mm — visible to naked eye

Understanding the scale — key anchors

1
1 Å = 0.1 nanometer

The simplest conversion to remember. Since nanometers are more commonly used today, multiply angstroms by 0.1 to get nanometers. 5,500 Å = 550 nm (green light).

2
1 AU = 1.5 trillion centimeters

One astronomical unit (Earth–Sun distance) is about 150 billion meters. That's why converting angstroms to AU always produces astronomically small numbers like 10⁻²².

3
Visible light: 4,000–7,000 Å

The entire visible spectrum fits in a 3,000 Å window. Violet starts at ~4,000 Å, green peaks at ~5,500 Å, red ends at ~7,000 Å. UV is below 4,000 Å, infrared above 7,000 Å.

4
Scale ladder: Å → nm → μm → mm → m → km → AU

Each step is a factor of 10 (nm), 1,000 (μm), 10 million (mm), 10 billion (m), 10 trillion (km), then ~150 trillion km = 1 AU. The angstrom is 32 orders of magnitude below 1 AU.

Where angstrom to AU conversion is used

Astrophysics research

Scientists studying stellar spectra work in angstroms for wavelength data, then convert to astronomical distances to model how light travels across solar systems.

Spectroscopy

Emission and absorption lines in stellar spectra are measured in angstroms. Astronomers correlate these atomic-scale wavelengths with objects millions of AU away.

Quantum physics education

Students converting between atomic-scale units and astronomical units to understand the extreme range of length scales in the universe — from subatomic to galactic.

X-ray crystallography

Crystal structures measured in angstroms are compared against X-ray wavelengths and source distances in AU when calibrating synchrotron beamlines.

Physics simulations

Computational physicists need consistent units across atomic and cosmic scales in simulations of phenomena like solar wind interacting with planetary magnetospheres.

Scientific publishing

Papers bridging atomic physics and astronomy require precise unit conversions to present data in the most relevant scale for the audience and context.

Frequently asked questions

1 angstrom equals 6.68459×10⁻²² astronomical units. The difference in scale is extreme — an angstrom is an atomic-scale unit (10⁻¹⁰ m), while 1 AU is the Earth–Sun distance (~150 billion meters).
The angstrom (Å) is used to measure atomic and molecular distances, chemical bond lengths (typically 1–3 Å), wavelengths of visible light (4,000–7,000 Å), and crystal lattice spacings in X-ray crystallography. It is named after Swedish physicist Anders Jonas Ångström.
1 astronomical unit equals approximately 1.496×10²¹ angstroms. One AU is the mean distance from Earth to the Sun — about 150 million kilometers or 1.496×10¹¹ meters.
This conversion is used in astrophysics and quantum physics research when comparing atomic-scale phenomena with astronomical distances — for example, correlating spectral wavelengths measured in angstroms with the distances to stars measured in AU.
1 nanometer equals 10 angstroms. So 1 Å = 0.1 nm. Nanometers are more commonly used in modern science and technology, but angstroms remain the standard unit in crystallography and optical spectroscopy.
No. The angstrom is not an official SI unit. It equals 10⁻¹⁰ meters or 0.1 nanometers. Despite not being SI, it is widely accepted and used in physics, chemistry, and materials science because atomic dimensions fall naturally in the 1–10 Å range.
Multiply the number of angstroms by 6.68459×10⁻²² to get astronomical units. To go the other way, multiply astronomical units by 1.49598×10²¹ to get angstroms. Example: 10,000 Å × 6.68459×10⁻²² = 6.685×10⁻¹⁸ au.

About the angstrom and astronomical unit

Angstrom (Å)

The angstrom equals 10⁻¹⁰ meters (0.1 nanometers). Named after Swedish physicist Anders Jonas Ångström (1814–1874), who pioneered spectroscopy. Though not an SI unit, it remains the standard in crystallography, atomic physics, and optical spectroscopy because atomic bond lengths and light wavelengths fall naturally in the 1–10 Å range.

Astronomical Unit (au)

The astronomical unit equals approximately 1.496×10¹¹ meters — the mean distance from Earth to the Sun. Defined exactly as 149,597,870,700 meters by the IAU in 2012. Used as the standard ruler for distances within solar systems. Light takes about 8 minutes 20 seconds to travel 1 AU.

History & origin

Anders Ångström mapped the solar spectrum in 1868 using a unit of 10⁻¹⁰ meters to express wavelengths, which became known as the angstrom in his honor. The astronomical unit has roots in early estimates of the Earth–Sun distance, formally defined in 2012 as a fixed constant. These two units represent opposite extremes of the length scale — one born from atomic physics, one from planetary astronomy.

Common use: Angstroms are used in atomic physics, crystallography, and spectroscopy. Astronomical units are used in planetary science and solar system astronomy. Converting between them appears in astrophysics research bridging quantum and cosmic scales.