1.11 - Why relative atomic masses are not always whole numbers

1.11 - Why relative atomic masses are not always whole numbers

A mass number counts particles in one nucleus, whereas relative atomic mass describes an average. Learn how isotope mixtures produce decimal averages without any atom containing a fraction of a neutron.

A count and an average

Mass number is the whole-number count of protons and neutrons in one nucleus. Isotopes of an element share a proton number but have different neutron counts, so their mass numbers differ.

Relative atomic mass

Relative atomic mass, ArA_r, is the weighted mean mass of atoms of an element compared with one twelfth of the mass of a carbon-12 atom.

“Weighted” means that a more abundant isotope contributes more to the average. Relative atomic mass is a ratio and has no unit.

QuantityWhat it describes
Mass numberNumber of protons plus neutrons in one nucleus
Relative atomic massAverage atom mass on the carbon-12 scale, accounting for isotope abundances

For GCSE isotope-mixture examples, isotope relative masses are often approximated by their mass numbers. They are not exactly the same physical quantity: a mass number is a count, not a measured mass.

Chlorine as an example

Natural chlorine contains chlorine-35 and chlorine-37. Chlorine-37 has two more neutrons. The relative atomic mass is about 35.5, an average affected by both isotopes.

This is not the mass number of an individual atom, and it does not mean a chlorine nucleus contains half a neutron. An average can lie between the values of individual members of a group.

For two isotopes, the average lies closer to the more abundant one. Chlorine’s value is closer to 35 than 37, showing that chlorine-35 is more abundant.