Figure 10 Primitive translation vectors of the body- centered cubic lattice; these vectors connect the lattice point at the origin to lattice points at the body centers. The primitive call is obtained on completing the hom

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Figure 10 Primitive translation vectors of the body-
centered cubic lattice; these vectors connect the lattice
point at the origin to lattice points at the body centers.
The primitive cell is obtained on completing the rhom-
bohedron. In terms of the cube edge a, the primitive
translation vectors are
a₁ = (x + ŷ-2);
a = (-+ŷ+2) :
a = a (x -ŷ + 2).
Here &, y, 2 are the Cartesian unit vectors.
Transcribed Image Text:ap Figure 10 Primitive translation vectors of the body- centered cubic lattice; these vectors connect the lattice point at the origin to lattice points at the body centers. The primitive cell is obtained on completing the rhom- bohedron. In terms of the cube edge a, the primitive translation vectors are a₁ = (x + ŷ-2); a = (-+ŷ+2) : a = a (x -ŷ + 2). Here &, y, 2 are the Cartesian unit vectors.
Problems
1. Tetrahedral angles. The angles between the tetrahedral bonds of diamond are the
same as the angles between the body diagonals of a cube, as in Fig. 10. Use elemen-
tary vector analysis to find the value of the angle.
Transcribed Image Text:Problems 1. Tetrahedral angles. The angles between the tetrahedral bonds of diamond are the same as the angles between the body diagonals of a cube, as in Fig. 10. Use elemen- tary vector analysis to find the value of the angle.
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