HW4+Solutions - MSE 102 Fall 2011 Problem Set 4 Solutions...

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MSE 102 Fall 2011 Problem Set 4 Solutions James Mastandrea Problem Set 4 Due Date: 9/22/2011 1
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Question 1 For this problem we are told that the crystal has symmetry described by plane group 9, c2mm. This plane group describes rectangular systems. Since the system is rectangular, one might usually select ~a and ~ b vectors such that k ~a k 6 = k ~ b k . However, since a square is a type of rectangle, selecting your ~a and ~ b vectors such that k ~a k = k ~ b k is also a valid approach to this problem. The choice of ~a and ~ b will affect the solutions to this problem set. Consequently, I will provide the solutions to this problem set for both of these conditions. First Case: k ~a k 6 = k ~ b k Part A I selected ~ b = 2 ~ e x and ~a = - 1 ~ e y . I first plotted all of the Ga atoms at wyckoff letter a for the (0,0) coordinate reference. Then I added ( 1 2 ~ b , 1 2 ~a ) to each of the atom locations previously found to plot the Ga atoms at wyckoff letter a for the ( 1 2 , 1 2 ) coordinate reference. A unit cell is indicated by the thin black lines.
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This note was uploaded on 09/23/2011 for the course MSE 102 taught by Professor Staff during the Fall '08 term at University of California, Berkeley.

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HW4+Solutions - MSE 102 Fall 2011 Problem Set 4 Solutions...

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