Problem 4: X-Ray diffraction is a technique to determine the crystallographic structure of single crystal materials. The figure below shows the diffraction pattern of aluminum. The first eight planes that x-ray diffraction picks for aluminum are indicated in terms of their Miller indices. Sketch these planes and their intercepts relative to the cubic unit (draw the unit cell as shown below).
I00
0.1542 nm (CuKα radiation)
1 1
(200)
(314)
(220)
(222)
(400)
(331)
(420)
10
H10
120 degrees
Include the intercepts and Miller indices in each sketch.