Average Atomic Mass Calculator
Weighted average atomic mass from isotope masses and percent abundances, or the abundances from the average.
Average atomic mass = Σ(isotope mass × fractional abundance). Chlorine: 34.969 × 0.7576 + 36.966 × 0.2424 = 35.45 u.
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How to use it
- Enter each isotope's mass (in u) and its abundance in percent, or pick a preset element.
- Add rows for elements with more than two isotopes.
- To find abundances, use the reverse section with the average and two isotope masses.
What you enter
- Isotope masses (u)
- Abundances (%)
What you get
- Average atomic mass
- Abundance check
- Abundances from a known average
Formula
Ā = Σ mᵢ × (abundanceᵢ / 100) | Two isotopes: x₁ = (Ā − m₂) / (m₁ − m₂)
Worked example: chlorine
Input: ³⁵Cl 34.96885 u at 75.76%, ³⁷Cl 36.96590 u at 24.24%
Result: 35.45 u
Matches the periodic table value because ³⁵Cl is three times as common.
Questions
How do you calculate average atomic mass?
Multiply each isotope's mass by its abundance as a decimal (75.76% is 0.7576) and add the results.
How do I find percent abundance from the average atomic mass?
For two isotopes, let x be the fraction of isotope 1: x = (average − m₂) ÷ (m₁ − m₂). Copper's 63.546 average gives 69.15% copper-63.
Why isn't atomic mass a whole number?
It is a weighted average of several isotopes, and each isotope's mass differs slightly from its mass number because of nuclear binding energy.
Is average atomic mass the same as molar mass?
Numerically yes: an average atomic mass of 35.45 u means a molar mass of 35.45 g/mol.
Limitations
- Natural abundances vary slightly between sources; IUPAC gives intervals for some elements.
References
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All free tools · By Dr. Zubair Khalid, DVM, MS, PhD.