Chapter 2 Multiple Choice Questions

. Which of the following space groups is not a sub-group of the p6mm space group?

. A certain reconstructed surface conforms to the c1m space group. Which of the following space groups could not have been that of the unreconstructed surface?

. The (421) surface of a face-centred cubic crystal has a primitive unit cell (not necessarily the most symmetric primitive unit cell) spanned by the vectors a/21¯12 and a12¯0 (where the vector components are defined relative to the same three orthogonal unit vectors used in defining the surface's Miller indices). What is the nature of its real-space lattice?

. If the metallic radius of a gold atom is 1.44 Å, and if the regular atomic-scale steps on its {311} surface are spaced at a perpendicular distance of 4.78 Å, what is the area of that surface's primitive unit cell?

. Given a face-centred cubic crystal, which of these high-index surfaces exhibits a regular array of straight-edged atomic-scale steps in their ideal structure?

. At its densest single-layer packing on Ni{111}, benzene forms a 7×7R19.1∘ superstructure featuring one molecule per corresponding primitive unit cell. When coadsorbed with carbon monoxide, however, a 23×23R30∘ superstructure is formed instead. What is the most plausible surface coverage of benzene in this latter case?

. Which of these superstructures (for any given crystalline surface) has the largest primitive surface unit cell?

. Which of these superstructures (for any given crystalline surface) could be represented as c(2×2) in Wood's notation?

. On the {111} surface of a face-centred cubic crystal, which of these superstructures has a rectangular primitive unit cell?

. What is the nature of the reciprocal lattice associated with a rhombic real-space lattice?

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