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D. Using Fig. 4.8 as a basis for Miller index notation 1. The external outline o

ID: 112391 • Letter: D

Question

D. Using Fig. 4.8 as a basis for Miller index notation 1. The external outline of an orthorhombic crystal, in an a-b section, is shown in Fig. 4.8. This outline is superim- posed on a net of lattice nodes in which the origin and the +a and +b axes are identified. All the crystal faces are parallel to the c axis, which is vertical and comes out of the page toward you, from the point of origin. As such, all the faces, as well as the one set of crystal planes (dashed lines), are of the (hk0) type. On the right-hand side of the figure list the intercepts for each of the faces. 2. In the bottom part of the figure convert these to Miller indices for each face. 3. Lastly, give the Miller index notation for each of the forms, in the lower right part of the figure.

Explanation / Answer

The intercepts of each faces are determined from the given figure. In the figure the a and b axes are shown and the c axis is vertical. The miller indices are calculated from the intercepts and tabulized as follows :

Faces Intercepts Miller indices a (3, 1, 0) ( 1, 3, 0) a' ( -3, 1, 0) (-1, 3,0 ) b (1, 5, 0) (5, 1,0) b' (1, -5, 0) (5, -1, 0) m (1, 4, 0) (4, 1, 0) m' (-3, 3,0) (-1, 1, 0) m'' (-3, -3, 0) ( -1, -1, 0) o (1, 5,0) (5, 1, 0 ) o' (1, 4, 0) (4, 1, 0) o'' (-1, -4, 0) (-4, -1,0) om (1, -5, 0) (5, -1, 0) l (1, 1, 0) (1, 1, 0)