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# ssp_10y - 3 Continued Surface crystallography Surface...

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3 Continued

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3-31 Surface crystallography Surface structure: periodic in 2 dimensions 3D lattice 2D lattice or net 5 Bravais nets in 2D (Figs. 2.1, 2.2) Unit cell mesh Substrate net of bulk crystal used as reference (Fig. 3.27); base vectors a 1 , a 2 Fig. 3.27. (a) Cube of an fcc lattice with faces of different orientation. (b-d) Top (open circles) and second layer (solid circles) of ideal fcc surfaces. The meshes of the substrate are indicated together with certain directions (as usual given in square brackets).
3-32 Mesh of surface structure: c 1 , c 2 c P a P a c P a P a 1 11 1 12 2 2 21 1 22 2 = = + + c c P a a P P P P a a 1 2 1 2 11 12 21 22 1 2 = = Shorthand notation (due to E.A. Wood) for angle ( ) a a 1 2 , = angle ( ) c c 1 2 , : c a c a R 1 1 2 2 × α α : angle of relative rotation Superstructures Fig. 3.28. Examples of superstructures and their Wood notation. The c in figure b indicates a centered net. See also Figs. 3.24 and 3.25. Fig. 3.29. Description of positions of single adsorbed atoms in terms of their binding to substrate atoms. ( ) 2 2 2 2 3 3 30 × × × ° c R

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3-33 2D reciprocal lattice 3D: a g i j = 2 ij πδ 2D: c c i j * = 2 ij πδ , i , j = 1,2 c c 1 2 * , * : base in reciprocal lattice 3 rd dimension: c c 3 3 0 → ∞ ⇒ * : quasi-continuous points rods Scattering condition: K G = G hc kc lc c = + + 1 2 3 3
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