Networks of Steps on Au and Pt Crystals

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Networks of steps, seen in STM observations of vicinal surfaces on Au and Pt (110), are analyzed. A simple model is introduced for the calculation of the free energy of the networks as function of the slope parameters, valid at low step densities. It predicts that the networks are unstable, or at least metastable, against faceting and gives an equilibrium crystal shape with sharp edges either between the (110) facet and rounded regions or between two rounded regions. Experimental observations of the equilibrium shapes of Au or Pt crystals at sufficiently low temperatures, i.e. below the deconstruction temperature of the (110) facet, could check the validity of these predictions.
14 pages, RevTex, uses epsf.sty, the file rotate.sty is included. To appear in the Proceedings of the Traverse City workshop on The Dynamics of Crystal Surfaces (August 1996); this work is an extension of Phys. Rev. Lett. {\bf 76}, 4191 (1996)

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