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An x-ray scattering study of the morphology of the Pt(001) surface reveals that below 1820 K it is atomically smooth on length scales exceeding 5000 {}. However, above 1820 K the Pt(001) surface is rough. Specifically, the scattering near the specular condition is diffuse, and may be modeled using a height-height correlation function which diverges logarithmically at large distances. Our data suggest that the average separation between thermally generated steps is many lattice constants.
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Abernathy et al. (1992) studied this question.
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