Solid State Lattices.

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Presentation transcript:

Solid State Lattices

Face NaCl Lattice Corner Edge

Figure 6.6 Unit cells of (a) a simple cubic lattice and (b) a body-centred cubic lattice.

Figure 6.2 (a) One layer (layer A) of close-packed spheres contains hollows that exhibit a regular pattern. (b) A second layer (layer B) of close-packed spheres can be formed by occupying every other hollow in layer A. In layer B, there are two types of hollow; one lies over a sphere in layer A, and three lie over hollows in layer A. By stacking spheres over these different types of hollow, two different third layers of spheres can be produced.

Figure 6.2 The blue spheres in diagram (c) form a new layer C; this gives an ABC sequence of layers. Diagram (d) shows that the second possible third layer replicates layer A; this gives an ABA sequence. (Continued)

Figure 6.3 In both the (a) ABA and (b) ABC close-packed arrangements, the coordination number of each atom is 12.

Figure 6.4 Unit cells of (a) a cubic close-packed (face-centred cubic) lattice and (b) a hexagonal close-packed lattice.

Face NaCl Lattice Corner Edge

NaCl Lattice Octahedral Hole

NaCl Lattice

CsCl Lattice Cubic Hole

CsCl Lattice

ZnS Zinc Blende Lattice Empty Tetrahedral Hole Tetrahedral Hole

ZnS Blende Lattice Empty Octahedral Hole

ZnS Wurtzite Lattice

CaF2 Fluorite Lattice Cubic Hole

TiO2 Rutile Lattice Trigonal Hole

Ca2+ Zn2+ Bi3- Na+