cm to Angstrom Converter
An atom is a fraction of a centimetre so small that a new unit was needed, and the angstrom is exactly one hundred-millionth of a centimetre.
Quick answer: multiply the centimetres by 100,000,000, or 10^8. So 1 cm is 100,000,000 Å, 1 mm is 10,000,000 Å and 1 Å is 10^-8 cm, which is 0.1 nm.
The centimetres to angstroms formula
One angstrom is 10^-10 metres, and one centimetre is 10^-2 metres, so a centimetre holds 10^8 angstroms (Wikipedia: Angstrom).
To convert, multiply the centimetres by 100,000,000.
For 0.5 cm, 0.5 × 100,000,000 is 50,000,000 Å.
For 2.54 cm, the result is 254,000,000 Å.
The angstrom and the centimetre
The angstrom, symbol Å, equals 10^-10 metres, or 0.1 nanometres, and is named after the Swedish physicist Anders Jonas Ångström (Wikipedia: Angstrom).
It suits atoms and molecules, where covalent radii run from about 0.5 Å for hydrogen to about 1 Å for sulfur and chlorine, and bond lengths are around 1 to 2 Å.
Visible light has wavelengths of roughly 4,000 to 7,000 Å, which is 400 to 700 nm.
How to convert cm to angstrom step by step
- Write the length in centimetres.
- Multiply it by 100,000,000.
- Use scientific notation for very large or small values.
- Label the answer in angstroms.
Example 1: 0.5 cm
- Start with 0.5 cm.
- 0.5 × 10^8 = 5 × 10^7.
- The length is 50,000,000 Å.
0.5 cm = 5 × 10^7 Å
Example 2: a 0.0001 cm film
- Start with 0.0001 cm.
- 0.0001 × 10^8 = 10,000.
- The film is 10,000 Å thick.
0.0001 cm = 10,000 Å
Example 3: 2.54 cm
- Start with 2.54 cm.
- 2.54 × 10^8 = 2.54 × 10^8.
- The length is 254,000,000 Å.
1 inch = 254,000,000 Å
All conversions are exact because both units are defined from the metre.
cm to angstrom conversion table
| Centimetres | Angstroms | Nanometres |
|---|---|---|
| 0.00000001 cm | 1 Å | 0.1 nm |
| 0.0000001 cm | 10 Å | 1 nm |
| 0.000001 cm | 100 Å | 10 nm |
| 0.00001 cm | 1,000 Å | 100 nm |
| 0.0001 cm | 10,000 Å | 1,000 nm |
| 0.001 cm | 100,000 Å | 10,000 nm |
| 0.01 cm | 1,000,000 Å | 100,000 nm |
| 0.1 cm | 10,000,000 Å | 1,000,000 nm |
| 1 cm | 100,000,000 Å | 10,000,000 nm |
| 2.54 cm | 254,000,000 Å | 25,400,000 nm |
| 10 cm | 1,000,000,000 Å | 100,000,000 nm |
| 100 cm | 10,000,000,000 Å | 1,000,000,000 nm |
The highlighted row is 1 cm, equal to 100,000,000 Å or 10 million nanometres. The first row shows that 1 Å is 10^-8 cm.
A quick mental shortcut for cm to angstrom
Add eight zeros to the centimetres, so 3 cm is 300,000,000 Å. For decimals, move the point eight places right.
To go the other way, move the point eight places left.
Angstrom versus nanometre
One angstrom is exactly 0.1 nm, so wavelengths in angstroms are ten times the figure in nanometres. A 5,500 Å line is 550 nm.
Crystallographers and chemists often use angstroms, while physicists and engineers use nanometres.
Angstrom and the SI system
The angstrom is not part of the SI, and the international bureau of weights and measures discourages it. It is still common in chemistry, crystallography and astronomy.
Writing it as Å avoids confusion with the plain letter A, and with units that share the abbreviation.
Where angstroms appear
Atomic radii, chemical bond lengths and crystal spacings are all quoted in angstroms. A carbon-carbon single bond is about 1.5 Å, which is 1.5 × 10^-8 cm.
Thin film coatings and X-ray wavelengths are also reported in angstroms.
Checking your answer
Divide the angstroms by 10^8 to recover the centimetres. If you get your starting number, the conversion is right.
The angstrom figure should always be a very large number for ordinary lengths.
More values at a glance
0.5 centimetres is 50,000,000 angstroms. 2 centimetres is 200,000,000 angstroms. 5 centimetres is 500,000,000 angstroms.
10 centimetres is 1,000,000,000 angstroms. 25 centimetres is 2,500,000,000 angstroms. 100 centimetres is 1 × 10¹⁰ angstroms.
Each answer is the input times 100,000,000. You can use the same factor for any value that is not listed here.
The unit sizes
One of the centimetres equals 100,000,000 angstroms. One of the angstroms equals 1 × 10⁻⁸ centimetres.
If a result looks very large or very small, compare it with these sizes before you use it.
Checking in reverse
Take 1,000,000,000 angstroms and divide by 100,000,000. You get back 10 centimetres. If you do not, one of the numbers was typed or rounded wrongly.
Quick conversion answers
| Conversion | Result |
|---|---|
| 1 cm to angstrom | 100,000,000 Å |
| 0.1 cm to angstrom | 10,000,000 Å |
| 0.01 cm to angstrom | 1,000,000 Å |
| 2 cm to angstrom | 200,000,000 Å |
| 10 cm to angstrom | 1,000,000,000 Å |
| 100 cm to angstrom | 10,000,000,000 Å |
Where this conversion is used
Chemists and physicists convert lab lengths to atomic scales.
Students and teachers work through unit conversion problems.
Optics and materials engineers compare wavelengths and film thicknesses.
Common mistakes to avoid
- Using 10^10 instead of 10^8. That is metres to angstroms.
- Dividing instead of multiplying. Centimetres to angstroms gives a bigger number.
- Writing A instead of Å. Use the ring symbol.
- Confusing angstrom and nanometre. 1 Å is 0.1 nm.
Related converters
Cm to angstrom in the lab
A typical lab ruler reads in centimetres, but a crystal lattice is measured in angstroms. A salt crystal spacing of about 2.8 Å is 2.8 × 10^-8 cm.
Converting both to one unit lets you compare an everyday length with an atomic one.
How small is an angstrom
If you could line up 100 million angstroms, they would span one centimetre. A human hair is tens of micrometres wide, which is several hundred thousand angstroms.
That scale is why chemistry and physics use the angstrom rather than centimetres for atoms.
Frequently asked questions
How many angstroms are in a centimetre?
100,000,000, or 10^8.
How many angstroms are in a millimetre?
10,000,000, or 10^7.
How many angstroms are in a metre?
10,000,000,000, or 10^10.
How many cm is an angstrom?
10^-8 cm, which is 0.00000001 cm.
How many nm is an angstrom?
0.1 nm.
Is the angstrom an SI unit?
No. It is outside the SI but is still widely used.
Sources
- Wikipedia: Angstrom (en.wikipedia.org)
- UnitConverters.net: Centimeter to angstrom (unitconverters.net)
