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| The Structure of Solids | ||||||||||||||||
| The
Cubic Lattice
· The cubic lattice has orthogonal coordinates so that for two directions T1 , T2 : T1 . T2 = T1T2cosα where: α = cos-1[{u1u2 + v1v2 + w1w2}/{(u12 + v12 + w12)1/ 2 (u22 + v22 + w22)1/2 }] |
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| Crystal Planes | ||||||||||||||||
| ·
The
Miller index for a crystal planes is obtained from its intercepts with
the natural coordinate system of the crystal structure.
· If a plane intercepts the coordinate axes at positions a, b, c, its equation is: (x/a) + (y/b) + (z/c) = 1 where: a = n1a1, b = n2a2, c = n3a3 · The Miller index of a plane is given by the lowest integers (h k l) such that: h : k : l :: (1/n1) : (1/n2) : (1/n3) |
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