The lattice parameter of the stable icosahedral phase Al62Cu25.5Fe12.5 has been accurately measured over a wide temperature range from liquid nitrogen up to 873 K by powder diffraction. The experiment has been carried out on the High‐Resolution Powder Diffractometer time‐of‐flight instrument at the ISIS spallation source and a particular analysis of the peak profiles is given. The thermal‐expansion coefficient at room temperature of the i‐AlCuFe is half the value of pure aluminium but its temperature dependence is the same.