刁荣彬-04-05-A4.doc

CHAPTER 1 The Crystal Structure of solids
Multiplying the mon denominator, we obtain a set of numbers such as (hkj). The plane is then referred to as the (hkj) plane. The parameters h, k, and j are referred to as the Miller indices.
EXAMPLE
OBJECTIVE
Describe the plane shown in Figure .
The lattice points in Figure are shown the, , and axes only.
Solution
From Equation (), the intercepts of the plane correspond to p=2, q=3, and s=2. Write the reciprocals of the intercepts, from Equation (), as
(,,)
Now multiply by the mon denominator, which in this case is 6, to obtain (3, 2, 3 ). The plane in Figure is then referred to as the (323) plane. The integers are referred to as the Miller indices. we will refer to a general plane as the (hkj) plane.
Comment
We can shoe that the same three Miller are obtained for any plane that is parallel to the one shown in Figure . Any parallel plane is entirely equivalent to any other.

Exercise problem
EX A plane in a simple cubic crystal is described as a (132) plane. (a) What are the intercepts on the a, b, and c axes. (b) Sketch the plane. [Ans. (a) p = 6, q = 2, s = 3]
Three plane that monly considered in a cubic crystal are shown shaded in Figure . The plane in Figure is parallel to the b and c axes so the intercepts are given as p = 1, q = ∞. Taking the reciprocal, we obtain the Mi