The influence of epitaxial strain on the structure of thin films was investigated using a model system: Fe on Cu 3 Au(100). Low-energy electron diffraction ͑LEED͒ I(V) measurements and full dynamical I(V) calculations were used to determine the atomic structures of Fe films at different thicknesses ͑3.3, 4.8, 18, and 53 monolayers ͑ML͒. LEED measurements show that for thicknesses above approximately 1.5 ML iron films are no longer pseudomorphic. Between 3.3 and 4.8 ML, the Fe films were determined to have a strained bcc structure, rather than the previously proposed fcc structure. The existence of the strained bcc phase at low coverage is consistent with estimates of the total energy, which suggests that the energy gained by stabilizing the bulk ground state of Fe overcompensates the higher strain energy of the bcc phase. At higher film thicknesses, 18-53 ML, dynamical LEED I(V) analysis confirm that the film structure has evolved into the expected unstrained bcc structure of Fe. ͓S0163-1829͑98͒01932-8͔