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Using the molecular-dynamics method with many-body potential of interatomic interaction we have studied the polymorphism of zirconium thin films. The conditions for stability of metastable bcc(001) and fcc Zr films are determined at constant zero pressure. The dependences of the lattice parameters and thermal expansion coefficients on the temperature and thickness of bcc, fcc and hcp Zr films are calculated. The peculiarities of their variation near structural transformations are discussed. Keywords: Thin films, Size effect, Phase transformation, MD simulation.