Homework 3 Solutions-1

Homework 3 Solutions-1 - Homework #3 Name _ ENMA 300/ENME...

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Homework #3 Name _________________________________________ ENMA 300/ENME 382 Due Monday, September 26, 2011 1. Give the Miller indices of directions A,B,C,D in the cubic unit cell. (Callister 3.28) Direction A: h k l (end) 1 1 1/3 (start) 0 0 2/3 1 1 -1/3 (1 1 -1/3)3 = [3 3 1] Direction B: h k l (end) 0 1 ½ (start) 2/3 1 1 -2/3 0 -1/2 (-2/3 0 -1/2)6 = [4 0 3] Direction C: h k l (end) ½ 1 1/2 (start) 1 0 1/3 -1/2 1 1/6 (-1/2 1 1/6)6 = [3 0 1] Direction D: h k l (end) 1/2 1/2 0 (start) 1 0 1/2 -1/2 1/2 -1/2 (-1/2 1/2 -1/2)2 = [1 1 1]
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2. Give the Miller-Bravais indices of the direction B in the hexagonal unit cell. Direction B: [2 1 1 0] 3. Give the Miller indices of the planes (A,B) in the cubic unit cell. (Callister 3.36) Plane A: (Move origin to front, right, bottom corner of the unit cell) h k l Intercepts -1 -1 1 Reciprocals -1 -1 1 Plane A indices are (1 1 1). This is equivalent to (1 1 1). Plane B: (Origin can remain in the back, left, bottom corner of the unit cell) h k l Intercepts 1/2 1/3 parallel Reciprocals 2 3 0 Plane B indices are (2 3 0).
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4.
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Homework 3 Solutions-1 - Homework #3 Name _ ENMA 300/ENME...

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