FIG. 1: Twodimensional Bravais lattice and primitive lattice vectors

FIG. 2: Hexagonal tiling

FIG. 3: Hexagonal tiling

FIG. 4: Wigner-Seitz cell

FIG. 5: Cubic, Tetragonal and Orthorhombic unit cells

FIG. 6: Body Centered Cubic conventional cell with two lattice points included (left) and lattice

with Wigner-Seitz unit cell (right)

FIG. 7: Face Centered Cubic conventional cell with four lattice points included (left) and Wigner-

Seitz unit cell (right)

FIG. 8: Simple Cubic, Body Centered Cubic and Face Centered Cubic

FIG. 9: Simple Tetragonal and Body Centered Tetragonal

FIG. 10: Face Centered Tetragonal and Body Centered Tetragonal are equivalent

FIG. 11: From left to right, Simple Orthorhombic, Base Centered Orthorhombic, Body Centered

Orthorhombic and Face Centered Orthorhombic

FIG. 12: Simple Orthorhombic can be obtained by stretching the base of of simple tetragonal

along one set of sides as in (a) and (b). If the same simple tetragonal is stretched along one of the

diagonal of its base, it gives the Base Centered Orthorhombic

FIG. 13: Simple Monoclinic and Base Centered Monoclinic

FIG. 14: Triclinic unit cell. The degree of symmetry is reduced to a minimum

FIG. 15: Rhombohedral (left) and Haxagonal (right)

FIG. 16: Hexagonal close packing -ABA- (HCP) on the left and cubic close packing -ABC- (CCP)

on the right.

11.3. SUMMARY OF CRYSTAL STRUCTURE 113

Figure 11.16: Some examples of real crystals with simple structures. Note that in all cases thebasis is described with respect to the primitive unit cell of a simple cubic lattice.

FIG. 17: A few examples of crystals constructed with a basis on a Bravais lattice.