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# HW3-new - plane of the bcc crystal structure and c the(0001...

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a1 a2 a3 c A B C ME311 MATERIALS ENGINEERING SPRING 2011 HOMEWORK #3 DUE DATE: February 18, before class PROBLEM 1: Determine the four-index Miller indices for the directions A, B and C shown in the following hexagonal crystal structure. PROBLEM 2: For a hexagonal crystal structure sketch the following directions a) b)

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PROBLEM 3: Determine the Miller indices for the planes shown in the following cubic unit cells a)
b)

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c) PROBLEM 4: For a cubic unit cell sketch the following planes a) b) c)
PROBLEM 5: Determine the four-index Miller indices for the planes shown in the following hexagonal crystal structures a)

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b) PROBLEM 6: For a hexagonal crystal structure sketch the following planes a) b)
PROBLEM 7: Sketch the atomic packing of a) the (111) plane of the fcc crystal structure, b) the (010)
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Unformatted text preview: plane of the bcc crystal structure and c) the (0001) plane of the hcp crystal structure. PROBLEM 8: An unknown cubic crystalline substance has been subjected to an X-ray diffraction experiment, using radiation of wavelength 1.54 Å. The following data has been obtained. Diffraction Peak Diffraction Angle, 2 θ #1 43.8 #2 50.8 #3 74.4 #4 90.4 Assuming that i) the order of reflection (n) is 1 for all diffraction peaks, independent of the h,k,l indices of the planes. ii) the lattice parameter is 3.5801 Å determine a) The h,k,l indices for each diffraction peak. b) Whether the crystal structure of this material is fcc or bcc....
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