2. Indices of planes. Consider the planes with indices (100) and (001); the lattice is fcc, and the indices refer to the conventional cubic cell. What are the indices of these planes when referred to the primitive axes of Fig. 11?
2. Indices of planes. Consider the planes with indices (100) and (001); the lattice is fcc, and the indices refer to the conventional cubic cell. What are the indices of these planes when referred to the primitive axes of Fig. 11?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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pleaseeeees solve question 2
Transcribed Image Text:a
5
Figure 11 The rhomboledral primitive cell of the face-centered
cubic crystal. The primitive translation vectors a, a, a connect
the lattice point at the origin with lattice points at the face centers.
As drawn, the primitive vectors are:
a₁ = a(+9) a= a(y + 2); ₁= !a(2+ X).
The angles between the axes are 60°.
23
₂
120
Figure 12 Relation of the primitive cell
in the hexagonal system (heavy lines) to
a prism of hexagonal symmetry. Here
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.
2. Indices of planes. Consider the planes with indices (100) and (001); the lattice is
fcc, and the indices refer to the conventional cubic cell. What are the indices of
these planes when referred to the primitive axes of Fig. 11?
3. Hcp structure. Show that the c/a ratio for an ideal hexagonal close-packed struc-
ture is()¹/2 = 1.633. If c/a is significantly larger than this value, the crystal structure
may be thought of as composed of planes of closely packed atoms, the planes being
loosely stacked.
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