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# Converting Nanometers to Angstroms

## Worked Unit Conversion Example Problem

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

Problem:

The spectra of the element mercury has 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 cancelled out. In this case, we want angstroms to the 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) &Aring/nm)
wavelength in Å = (wavelength in nm) x (10 &Aring/nm)
wavelength in Å = (546.047 x 10) Å
wavelength in Å = 5460.47 Å

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.
##### Chemistry Homework Resources

Anne Marie Helmenstine, Ph.D.