# e45_hw_4 - E45 HW04 Due September 24, 2010 References: J.F....

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E45 HW04 Due September 24, 2010 References: J.F. Shackelford, Introduction to Materials Science for Engineers, 6 th Edition, Prentice Hall, New Jersey (2005) Problem 1 3.78 The diffraction peaks labeled in Figure 3.39 correspond to the reflection rules for an fcc metal (h,k,l unmixed, as shown in Table 3.4). What would be the (hkl) indices for the three lowest diffraction-angle peaks for a bcc metal? SOLUTION Bcc metals diffract when the sum of h, k, and l is an even integer. (Table 3.4, pg. 107) These would be (200), (220), and (222), which can be simplified further. The (hkl) indices for the lowest diffraction angle peaks are (110), (200), (211) Problem 2 4.19 Calculate the density of Schottky pairs (in m -3 ) in MgO if the fraction of vacant lattice sites is 5*10 -6 . (The density of MgO is 3.60 Mg/m 3 .) SOLUTION Since the density of MgO is Mg/m 3 , and its molecular mass is 40.31 amu, then the density of MgO molecules is: (density of MgO) / [(molecular mass MgO) / (molecules MgO/mole MgO)]

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## This note was uploaded on 11/19/2010 for the course E 45 taught by Professor Gronsky during the Fall '08 term at University of California, Berkeley.

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e45_hw_4 - E45 HW04 Due September 24, 2010 References: J.F....

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