The pseudomorphic growth of Cu on Pd(100) has been studied by tunneling microscopy. Cu films are found to grow layer by layer with a sharp structural transition from a pseudomorphic face-centered-cubic phase (fcc) to a pseudomorphic body-centered-tetragonal (bct, $a=2.75$ {}, $c=3.10$ {}) phase with increasing film thickness. The phase transition is driven by the total strain energy of the Cu film, which scales with the temperature dependent Cu-Pd misfit and the film thickness.
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Hahn et al. (1995) studied this question.
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