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FIG. 1: Twodimensional Bravais lattice and primitive lattice vectors ...

FIG. 1: Twodimensional Bravais lattice and primitive lattice vectors ...

FIG. 1: Twodimensional Bravais lattice and primitive lattice vectors ...

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<strong>FIG</strong>. 1: <strong>Twodimensional</strong> <strong>Bravais</strong> <strong>lattice</strong> <strong>and</strong> <strong>primitive</strong> <strong>lattice</strong> <strong>vectors</strong><br />

<strong>FIG</strong>. 2: Hexagonal tiling


<strong>FIG</strong>. 3: Hexagonal tiling<br />

<strong>FIG</strong>. 4: Wigner-Seitz cell


<strong>FIG</strong>. 5: Cubic, Tetragonal <strong>and</strong> Orthorhombic unit cells<br />

<strong>FIG</strong>. 6: Body Centered Cubic conventional cell with two <strong>lattice</strong> points included (left) <strong>and</strong> <strong>lattice</strong><br />

with Wigner-Seitz unit cell (right)


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

Seitz unit cell (right)<br />

<strong>FIG</strong>. 8: Simple Cubic, Body Centered Cubic <strong>and</strong> Face Centered Cubic


<strong>FIG</strong>. 9: Simple Tetragonal <strong>and</strong> Body Centered Tetragonal<br />

<strong>FIG</strong>. 10: Face Centered Tetragonal <strong>and</strong> Body Centered Tetragonal are equivalent


<strong>FIG</strong>. 11: From left to right, Simple Orthorhombic, Base Centered Orthorhombic, Body Centered<br />

Orthorhombic <strong>and</strong> Face Centered Orthorhombic<br />

<strong>FIG</strong>. 12: Simple Orthorhombic can be obtained by stretching the base of of simple tetragonal<br />

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

diagonal of its base, it gives the Base Centered Orthorhombic


<strong>FIG</strong>. 13: Simple Monoclinic <strong>and</strong> Base Centered Monoclinic<br />

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


<strong>FIG</strong>. 15: Rhombohedral (left) <strong>and</strong> Haxagonal (right)<br />

<strong>FIG</strong>. 16: Hexagonal close packing -ABA- (HCP) on the left <strong>and</strong> cubic close packing -ABC- (CCP)<br />

on the right.


11.3. SUMMARY OF CRYSTAL STRUCTURE 113<br />

<strong>FIG</strong>. 17: A few examples of crystals constructed with a basis on a <strong>Bravais</strong> <strong>lattice</strong>.<br />

Figure 11.16: Some examples of real crystals with simple structures. Note that in all cases the<br />

basis is described with respect to the <strong>primitive</strong> unit cell of a simple cubic <strong>lattice</strong>.

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