This example problem demonstrates how to convert nanometers to angstroms. Nanometers (nm) and angstroms (Å) are both linear measurements used to express extremely small distances.

### nm to A Conversion Problem

The spectra of the element mercury have a bright green line with a wavelength of 546.047 nm. What is the wavelength of this light in angstroms?

Solution

1 nm = 10^{-9} m

1 Å = 10^{-10} m

Set up the conversion so the desired unit will be canceled out.

In this case, we want angstroms to the remaining unit.

wavelength in Å = (wavelength in nm) x (1 Å/10^{-10} m) x (10^{-9} m/1 nm)

wavelength in Å = (wavelength in nm) x (10^{-9}/10^{-10}) Å/nm)

wavelength in Å = (wavelength in nm) x (10 Å/nm)

wavelength in Å = (546.047 x 10) Å

wavelength in Å = 5460.47 Å

Answer

The green line in mercury's spectra has a wavelength of 5460.47 Å

It may be easier to remember there are 10 angstroms in 1 nanometer. This would mean a conversion from nanometers to angstroms would mean moving the decimal place one place to the right.