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Atoms to Moles Calculator

Convert a particle count to moles, or moles to particles, using the SI Avogadro constant NA = 6.02214076×10²³ mol⁻¹. Works for atoms, molecules, or formula units.

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Results

How to convert atoms and moles

  1. Enter moles or a particle count. Leave the other field blank.
  2. Use scientific notation in your head if needed; the page accepts ordinary decimals for the count field.
  3. Read moles, particle count, and the NA value used.
  4. The same constant applies whether you count atoms or molecules. The particle type is your interpretation.

Avogadro conversion

N = n × NA

Avogadro constant NA6.02214076×10²³ mol⁻¹ (exact SI)
MoleAmount of substance containing NA entities
EntityAtom, molecule, ion, or formula unit
FormulaN = n × NA and n = N / NA
SI brochureNA is fixed in the SI definition of the mole
Particle fieldLabeled atoms on this page but accepts any entity count

What this page converts

One mole contains exactly 6.02214076×10²³ specified entities. One mole of atoms is NA atoms. One mole of molecules is NA molecules. The default one mole therefore yields that particle count.

Atoms, molecules, and formula units

Atom means a single elemental particle. Molecule means a bonded covalent unit. Formula unit means the empirical ionic group such as NaCl. Avogadro's constant does not change among those labels; only your counting target does.

How N = n × NA is applied

Enter moles to multiply by NA. Enter a particle count to divide by NA. Both fields filled, or both blank, produce an error. Results show moles and the particle total with NA printed for audit.

Limits

Informational SI arithmetic. Not a particle detector or assay. See the disclaimer.

Atoms and moles questions

Which Avogadro number does this page use?
The exact SI value 6.02214076×10²³ mol⁻¹ from the modern definition of the mole.
Can I use this for molecules instead of atoms?
Yes. Enter the molecule count in the particle field. NA is the same.
Why is the particle field blank by default?
So one mole can solve the particle count. Fill particles and clear moles when you want the reverse.
Is NA still approximate?
No. In the SI system NA is exact by definition. Older textbooks may show rounded values.
Does this convert mass to moles?
No. Use the moles to grams page when you have mass and molar mass.