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# 2 Crystal Structure @ Www 07 Met Tk

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### Transcript

• 1. Crystalline Materials All About Metallurgical & Materials Engineering Download This & More Stuff @ WWW.07MET.TK
• 2. Crystalline Material
• Metals and many non-metallic solids are crystalline i.e
• The constituent atoms are arranged in a pattern that repeat itself periodically in three dimensions.
• The actual arrangement of the atoms is described by the crystal structure.
• 3.
• The crystal structures of most pure metals are simple.
• Three most common structures are:
• body-centered cubic,
• Face-centered cubic,
• Closed-packed hexagonal structures
• In contrast, the structures of alloys and non-metallic compounds are often complex.
• 4.
• The positions of the planes, directions and point sites in a lattice are described by reference to the unit cell and the three principal axes, x, y, and z.
• Miller indices of the specific plane (hkl).
• Crystallographic direction are indicated by [uvw]
• Family of planes {hkl}
• Family of Crystallographic directions are indicated by <uvw>
• 5. Relationships between a direction and a plane for cubic system
• 1) [uvw] is normal to (hkl) when u = h; v = k; w = l. [111] is normal to (111).
• 2) [uvw] is parallel to (hkl), i.e; [uvw] lies in (hkl), when hu + kv + lw =0 e.g [112 - ] is a direction in (111) .
• 6.
• 3) Two planes (h1k1l1) and (h2 k2 l2) are normal if h1 h2 + k1 k2 +l1 l2 = 0
• e.g (001) is perpendicular to (100) and (010). (110) is perpendicular to ( 11- 0).
• 4) Two directions u1 v1 w1 and u2 v2 w 2 are normal if u1 u2 + v1 v2 + w1 w2 = 0 e.g [100] is perpendicular to [001]. [111] is perpendicular to [112-].