hw7sol - 3.091 Fall Term 2004 Homework #7 Solutions 5 2 1....

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Unformatted text preview: 3.091 Fall Term 2004 Homework #7 Solutions 5 2 1. (a) = 1 = ( 74 7.4 ) R = 1.476 10 10 m 36 Th is FCC with a value of V molar = 19.9 cm 3 1/ 3 4 N Av 4 19.9 a 3 = V molar a = 6.02 10 23 = 5.095 10 8 cm a = 2d sin d = h 2 + k 2 + l 2 4th reflection in FCC: 111; 200; 220; 311 ; 222 h 2 + k 2 + l 2 = 11 2 a sin h 2 + k 2 + l 2 1.476 11 = 2 2 2 = sin 1 2 a = sin 1 2 5.095 = 28.71 h + k + l (b) neutrons = x-rays h 6.6 10 34 neutrons = h p = mv , v = m h = 1.675 10 27 1.476 10 = 2.68 10 3 m/s 10 2. Follow the procedure suggested in lecture: Step 1 Start with 2 values and generate a set of sin 2 values. Step 2 Normalize the sin 2 values by generating sin 2 n / sin 2 1 . Step 3 Clear fractions from normalized column. Step 4 Speculate on the hkl values that would seem as h 2 +k 2 +l 2 to generate the sequence of the clear fractions column....
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hw7sol - 3.091 Fall Term 2004 Homework #7 Solutions 5 2 1....

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