Atoms to Moles Calculator

Convert atoms to moles or vice-versa using the conversion calculator below.

How to Convert Atoms to Moles

The SI base unit for the quantity of substance is the mole, which is abbreviated mol. To convert atoms to the quantity of substance in moles, you’ll need to use a conversion formula.

Atoms to Moles Formula

Unlike the process for converting the mass in grams to moles, the atoms to moles conversion formula is based around Avogadro’s number, which is a numerical constant. Then, using the constant, you can use the atom to mole conversion formula to calculate the amount of substance.

Avogadro Constant

The Avogadro constant defines the conversion ratio for the amount of substance to the number of particles such as atoms, molecules, or ions in a sample. The Avogadro constant is equal to 6.02214076 × 1023.[1]

Note that the Avogadro constant is so large that it’s almost always referred to using scientific notation. It is named for Amedeo Avogadro, who defined the value in the early 19th century and stated that the volume of any gas is proportional to the number of atoms and molecules within.

Using the Avogadro constant, the formula to convert atoms to moles is:

mol = atoms6.02214076 × 1023

Thus, the amount of substance in moles is equal to the number of atoms divided by the Avogadro constant, or 6.02214076 × 1023.

Did you know that you can convert liters to moles using a similar formula?

How to Convert Moles to Atoms

To convert moles to atoms, the formula above can be reversed.

Moles to Atoms Formula

atoms = mol × 6.02214076 × 1023

Thus, the number of atoms in a gas is equal to the quantity in moles times the Avogadro constant.

References

  1. International Bureau of Weights and Measures, SI base unit: mole (mol), https://www.bipm.org/en/si-base-units/mole