apFigure 10 Primitive translation vectors of the body-centered cubic lattice; these vectors connect the latticepoint 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 primitivetranslation vectors area₁ = (x + ŷ-2);a = (-+ŷ+2) :a = a (x -ŷ + 2).Here &, y, 2 are the Cartesian unit vectors. Problems1. Tetrahedral angles. The angles between the tetrahedral bonds of diamond are thesame 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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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

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

Inquiry into Physics

8th Edition

ISBN:9781337515863

Author:Ostdiek

Publisher:Ostdiek

Chapter4: Physics Of Matter

Section: Chapter Questions

Problem 7P: A large chunk of metal has a mass of 393 kg, and its volume is measured to be 0.05 m3. (a) Find the...

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Question

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.

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