Figure 1.1: Schematic of several surface unit-meshes. Reconstruction/overlayers have a surface lattice unit-mesh with is different from that of the bulk unit-mesh projected unto to surface. Vectors (ab,bb) form the bulk-like unit-mesh projected onto the surface planes. Vectors (as, bs) form the surface unit-mesh. The examples are: (a) 1x1, (b) 2x2, (c) √3x√3-30, and (d) 1x3.

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• Figure 1.1: Schematic of several surface unit-meshes
• Figure 1.2: Schematic of relaxed surface plane
• Figure 1.3: Model of the ideal surface for Si{111}1*1
• Figure 1.4: The Periodic Table of Elements
• Figure 1.5: The T_1 model for Si{111}rt3*rt3-30-X<
• Figure 1.6: The H_3 model for Si{111}rt3*rt3-30-X
• Figure 1.7: The T_4 model for Si{111}rt3*rt3-30-X
• Figure 1.8: The B_5 model for Si{111}rt3*rt3-30-X