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 thea ,b , andc 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 (2 1 ,3 1 ,2 1 ) 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 toa 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 ina simple cubic crystal is described asa (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 ina cubic crystal are shown shaded in Figure . The plane in Figure is parallel to the b and c axes so the intercepts are given asp= 1,q=∞. Taking the reciprocal, we obtain the Miller indices as (1,