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| Hauptseite > Publikationsdatenbank > Absolute surface free energies of Pb |
| Journal Article | PreJuSER-25855 |
; ; ;
2002
Elsevier
Amsterdam
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Please use a persistent id in citations: doi:10.1016/S0039-6028(02)01554-6
Abstract: Three-dimensional (3D) equilibrium crystal shapes (ECS) of Pb are utilized for the first time to determine absolute surface free energies via a quantitative evaluation of the measured ECS and published values of step free energies of vicinal (1 1 1) surfaces. 3D images of Pb crystallites are obtained by scanning tunneling microscopy at 323-393 K. Line scans through high symmetry <1 1 0> azimuths are transformed into an anisotropic relative surface free energy, gamma(theta, T). The absolute surface free energy of Pb(1 1 1) is obtained from the limiting slopes, df(theta, T)/d tan theta, of the orientation dependent f(theta, T) gamma(theta, T)/ cos theta at the boundaries of the (1 1 1) facet, located at theta = 0degrees. This value is 25.7 +/- 1.4 meV/Angstrom(2) or 440 +/- 22 mJ/m(2). Absolute surface free energies of other low-index orientations, such as (1 0 0), (1 1 0) etc. are calculated from the relative anisotropy of gamma(theta)/gamma(1 1 1). It is found that surface free energies of orientation (h k l), expressed in meV/atom, scale with the number of bonds broken in forming such a surface. Free energies of steps bounding other facets, such as (1 0 0), (1 1 0), (1 1 2), (1 1 3) and (2 2 1), are evaluated in the [0 1 (1) over bar] zone, using the corresponding facet radii and the absolute surface free energies of those facets. (C) 2002 Published by Elsevier Science B.V.
Keyword(s): J ; equilibrium thermodynamics and statistical mechanics (auto) ; scanning tunneling microscopy (auto) ; surface energy (auto) ; surface structure, morphology, roughness, and topography (auto) ; lead (auto)
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