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Unformatted text preview: MTLE2100 Structure of Engineering Materials, Questions VIIAnswer 1. The structure factor of HCP was derived as  F  2 = 4f 2 cos 2 π [(h+2k)/3 +l/2] Summary, m integer h +2k l F 2 3m odd 3m even 4f 2 3m ± 1 odd 3f 2 3m ± 1 even f 2 Verify the above results for (00 . 1), (00 . 2), (10 . 0), (10 . 1), (10 . 2), (11 . 0), (11 . 1), (11 . 2), and (11 . 3). (00 . 1)  F  2 =4f 2 cos 2 π [(h+2k)/3+l/2] =4f 2 cos 2 ( π /2) = 0 (00 . 2)  F  2 =4f 2 cos 2 π [(h+2k)/3+l/2] =4f 2 cos 2 π = 4f 2 (10 . 0)  F  2 =4f 2 cos 2 π [(h+2k)/3+l/2] =4f 2 cos 2 ( π /3) = f 2 (10 . 1)  F  2 =4f 2 cos 2 π [(h+2k)/3+l/2] =4f 2 cos 2 (5 π /6) = 3f 2 (10 . 2)  F  2 =4f 2 cos 2 π [(h+2k)/3+l/2] =4f 2 cos 2 (4 π /3) = f 2 (11 . 0)  F  2 =4f 2 cos 2 π [(h+2k)/3+l/2] =4f 2 cos 2 π = 4f 2 (11 . 1)  F  2 =4f 2 cos 2 π [(h+2k)/3+l/2] =4f 2 cos 2 (3 π /2) = 0 (11 . 2)  F  2 =4f 2 cos 2 π [(h+2k)/3+l/2] =4f 2 cos 2 (2 π ) = 4f 2 (11 . 3)  F  2 =4f 2 cos 2 π [(h+2k)/3+l/2] =4f...
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This note was uploaded on 04/29/2008 for the course MTLE 2100 taught by Professor Tomozawa during the Spring '08 term at Rensselaer Polytechnic Institute.
 Spring '08
 Tomozawa

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