How to Convert Nanometers to Angstroms


Aurora Borealis

Aurora Borealis
Credit: Kristian Pikner
The green in auroras is caused by the ionization of oxygen in the upper atmosphere.

Nanometers ( nm ) and angstroms ( Å ) are linear measurements used to describe very small distances. These measurements often appear in applications of spectroscopy and the sizes of atoms. This example problem shows how to convert nanometers to angstroms.

Convert Nanometers to Angstroms Example Problem

Question: The vivid green light seen in aurora displays is caused by the excitation of oxygen atoms. This light corresponds to a wavelength of 557.7 nm. What is this wavelength in angstroms?

Solution: Both nanometers and angstroms are related to the standard meter.

1 nm = 10-9 m
1 Å = 10-10 m

We can use the ladder method of unit cancellation to obtain a conversion factor between the two measurements.

convert nanometers to angstrom step 1

convert nanometers to angstrom step 2

1 Å = 10-1 nm

or

10 Å = 1 nm

Now we can use this to find the wavelength. Set up the conversion to cancel out the unneeded unit.

convert nanometers to angstrom step 3

convert nanometers to angstrom step 4

x Å = 5577 Å

Answer: The green light in aurora displays corresponds to a wavelength of 5577 Å.

The easiest way to convert nanometers to angstroms (and back again) is to remember there are 10 angstroms in a nanometer. Just move the decimal in the correct direction and remember you should have more angstroms than nanometers when you’re finished.

Leave a Reply

This site uses Akismet to reduce spam. Learn how your comment data is processed.