Chemistry

Average Atomic Mass Calculator

Calculate an element's average atomic mass from its isotopes.


Average Atomic Mass Calculator

Advertisement

The atomic mass shown on a periodic table is a weighted average across an element’s naturally occurring isotopes, weighted by how common each one is.

How it works

Each isotope’s mass is multiplied by its fractional abundance, and those weighted values are summed and normalized by the total abundance given.

What this does not include

This does not include elements with more than two stable isotopes — this calculator handles the common two-isotope case directly.

How to use this calculator

  1. Enter each isotope’s mass and its percentage abundance.

A worked example

Chlorine-35 (mass 34.96885, abundance 75.76%) and chlorine-37 (mass 36.9659, abundance 24.24%): weighted average atomic mass = 35.4529 — very close to chlorine’s standard periodic table value of 35.45.

What the variables mean

Variable Meaning
Mass 1, Mass 2 The atomic mass of each isotope
Abundance 1, Abundance 2 Each isotope’s natural percentage abundance

Edge cases worth knowing

This is a weighted average, not a simple average. A more abundant isotope pulls the result closer to its own mass — which is exactly why chlorine’s atomic weight (35.45) sits much closer to chlorine-35’s mass than to chlorine-37’s.

Zero total abundance makes the average undefined — there’s no meaningful weighting to apply if neither isotope is present at all.

Frequently asked questions

Why is chlorine’s atomic mass 35.45 instead of a whole number?

Because it’s a weighted average of chlorine-35 (about 76% abundant) and chlorine-37 (about 24% abundant), and the ratio lands closer to 35 than to a round number.

Where do isotope abundance values come from?

They’re measured experimentally and published in standard periodic table references, reflecting how each isotope actually occurs in nature.

Do the abundances need to add up to exactly 100%?

The calculator normalizes by whatever total is given, but real isotope abundances for an element are measured to sum to 100%.

Sources

  1. Periodic-table isotope mass and abundance figures (e.g. chlorine-35 and chlorine-37) are standard, widely reproduced reference values
Be the first to rate this

Written by

P. Nakamura

Chemistry writer

P. Nakamura writes the chemistry calculators, covering solution concentration, stoichiometry, gas laws and colligative properties. Each page separates the definitional part of a formula from the reference constants it depends on, and leaves those constants adjustable where a different solvent or condition would change them. Worked chemistry is only as good as the assumptions stated alongside it.

Reviewed by

D. Petrov

Calculator reviewer — chemistry and environmental science

D. Petrov reviews the chemistry and environmental-science calculators, verifying that reference constants match their stated values and that they remain adjustable wherever a different substance or condition would change them. Review also checks that definitional relationships are not presented as though they required a citation, and that non-definitional values always carry one.

How we write and review

Related calculators