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3. What is the Miller index notation for each of the planes in the following figure (a is the lattice
constant)? What is the Miller index notation for the direction normal to the plane?
a
t
X
(a)
X
(b)
a
X
ба
2a
(c)
3a

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Question 3 Consider the simple and close-packed hexagonal direct lattices. (a) Find out the general expression for the structure factor for each lattice type. In this context, what is the significance of a complex structure factor? (b) Without resorting to the structure factor, determine in which structure(s) X-ray Bragg reflections arise from the lattice planes (0001), (0002), and (1010). Justify your answer by the use of the above determined structure factor or otherwise and explain the meaning of the four indices describing the above cited lattice planes.
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