Landolt-Börnstein - Group III Condensed Matter Symmetry of a surface layer


In this chapter symmetry of a half-crystal and surface layer is discussed. Since a half-crystal has atoms only on one side of the dividing plane, it can exhibit only those symmetry elements that correspond to movements parallel to that plane, i.e., the symmetry is that of a two-dimensional space group. A half-crystal cannot contain a centre of symmetry, a roto-inversion axis, or a screw axis. The symmetry of the surface layer is the symmetry of the two-dimensional net common to all layers. This symmetry will include all the symmetry elements of the complete half-crystal and possibly some higher elements. Symmetry elements that are retained in a half-crystal of a given orientation from the space group of the complete crystal are listed along with surface orientations retaining element and conditions for retention. Space group symmetry of surface layers and half-crystals for low-index surfaces in cubic crystals are also tabulated.

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Title Symmetry of a surface layer
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In Symmetry
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Landolt-Börnstein - Group III Condensed Matter
  • G. Chiarotti
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  • J. F. Nicholas
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