(a) In Fig. 1, F and G are mid-points of the vertical edges of the cube. In a coordinate system where H is the origin, HB the x-axis, and HC the y-axis, what are the Miller indices of the planes ABC, BCED and BFGH? D B A H Fig. 1 F E G C For BFGH, to find the intercepts displace the plane upward by half a unit as shown: D B intercepts reciprocals Hence Miller index = (012) X 80 y -1 -1 E G Z 0.5 2