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Unformatted text preview: MATSE 201 Fall 2009 Homework 2 Due in class Thursday 9/17/09 1. Sketch a representation of the planes denoted below within the cubic unit cell and label any intersection with a cube edge that is different from 1 or 0. (Draw only a single representation of the plane, as more than one may be possible by way of translational symmetry). (10pts) x y z x y z x y z x y z x y z x y z a) ) 112 ( b) (240) c) ) 3 20 ( 2 Express the following planes drawn within a unit cell in terms of their Miller indices (Hint, use translational symmetry when necessary to identify the intercepts) (10pts) x y z x y z x y z x y z x y z x y z 3. Identify the directions K, L, M and N illustrated in the figure. (10pts) a b c a b c ½ ½ L M N K ¾ 4. For the hexagonal unit cells depicted below determine the Miller-Bravais indices for the planes in Figures (a) – (c), as well as those of the directions U, V and W in Figure (d) (note U is perpendicular to axis a 3 , (20pts) 5. Aluminum has an atomic radius of 0.143 nm, an atomic weight of 26.98 g/mol, and it crystallizes in a Aluminum has an atomic radius of 0....
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- Fall '09
- 20 pts, 0.143 nm, 0.07107 nm, 8.58g