The ferromagnetic properties of epitaxial La0.5Sr0.5CoO3 thin films have been studied. The magnetic transition is affected by both strain and finite thickness. We have used a series of films of different thickness and on different substrates in order to quantitatively determine the change in Curie temperature contributed by each effect. The phase diagram of TC versus in-plane strain suggests that the ferromagnetic transition temperature is suppressed by tensile strain and enhanced by compressive strain. The general method of separating strain and finite thickness effects should be applicable to any ordering phase transition in thin films.Thin films of perovskite oxide materials have attracted great attention lately due to their potential technological applications based on a variety of appealing physical properties, such as colossal magnetoresistivity, ferroelectricity, and high-Tc superconductivity. The properties of films differ from the corresponding bulk typically due to a combination of three factors. Firstly, defect levels are often higher in films. Oxygen deficiency is the most common defect and will typically suppress the transition temperature due to the decrease of doped hole density or the destruction of metal-oxygen hopping pathways.[1] Secondly, finite size effects may be important. For example, the Curie temperature (T C ) for a ferromagnetic thin film will be reduced when the spin-spin correlation length exceeds the film thickness. The thickness-dependent Curie temperature has been most carefully studied in simple metallic films of Fe, Co, Ni and Gd. [2, 3] A similar scaling effect has also been found in ferroelectric materials. [4] Thirdly, strain incorporated into films due to effects such as a lattice mismatch with the substrate may also alter the phase transition through changes in fundamental interactions that depend upon atomic spacing. Strain in thin films is often thought of as analogous to that induced in high-pressure experiments on bulk materials. However, a much larger strain can be achieved in films than that in bulk and the strain in films is usually biaxial rather than hydrostatic or uniaxial as in most bulk pressure experiments. The induced strain can modify the lattice structure, the critical temperature for phase transition, and sometimes the nature of the phases present themselves. [5,6,7] La 0.5 Sr 0.5 CoO 3 (LSCO) is a highly doped ferromagnetic oxide material with perovskite structure and has desirable properties of high electrical conductivity and large magnetoresistance. [8,9] Thin film LSCO is a candidate for applications such as electrodes for fuel cells, ferroelectric memory and spin valve devices. The first concern noted above, the oxygen content in LSCO films, can be controlled by carefully optimizing growth conditions so that stoichiometry of oxygen can be maintained. [10] However, the finite size and strain effects are intrinsic to the film, and it is not trivial to separate the influence of these two effects on a particular film. Recently, Fuchs et al [11] and Andre...