ECE331_Wi06_HW2_sol

ECE331_Wi06_HW2_sol - Winter2006 ECE331 Homework #2...

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1 Winter2006 ECE331 Homework #2 Solutions 1. [3.32] Direction A is a [ 1 10] direction Direction B is a [121] direction Direction C is a [0 1 2 ] direction Direction D is a [1 2 1] direction 2. [3.37] For plane A this is a (1 1 0) plane. For plane B , this is a (122) plane. 3 . [3.40] (a) (1 2 11) plane (b) a (2 1 1 2) plane 4 . Compute and compare the linear densities of the [100], [110], and [111] directions for FCC. 1) In the figure below is shown a [100] direction within an FCC unit cell. For this [100] direction there is one atom at each of the two unit cell corners, and, thus, there is the equivalent of 1 atom that is centered on the direction vector. The length of this direction vector is just the unit cell edge length, 2 R 2 [Equation (3.1)]. Therefore, the expression for the linear density of this plane is LD 100 = number of atoms centered on [100] direction vector length of [100] direction vector = 1atom 2R 2 = 1 2) [110] direction vector direction [110] of length vector direction [110] on centered atoms of number = 110 LD
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2 R R atoms 2 1 4 2 = = 3) An FCC unit cell within which is drawn a [111] direction is shown below.
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This note was uploaded on 10/16/2011 for the course ECE 331 taught by Professor Rajan during the Spring '09 term at Ohio State.

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ECE331_Wi06_HW2_sol - Winter2006 ECE331 Homework #2...

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