HW4_MS115a

HW4_MS115a - MS 115a, Problem Set #4 assigned 10/19/11 due...

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MS 115a, Problem Set #4 assigned 10/19/11 due 10/26/11 1. What are the planes of highest density in the CCP, HCP and BCC structures? What are the directions of highest density within those planes? 2. Using the left-side diagram below, show that for a 2-dimensional square lattice, the distance, d hk , between planes of index (h, k) is given by d hk = a/(h 2 + k 2 ) ½ 3. The right-side figure below shows the first four peaks of the x-ray diffraction pattern for copper, which has a CCP crystal structure. The data were collected using monochromatic x-radiation having a wavelength of 1.542 Å. (a) Index ( i.e. give h , k , and l indices for) each of these peaks (d) Determine the interplanar spacing, d hkl , for each of the peaks (c) Determine the lattice constant of CCP copper. (d) From (c), determine the atomic radius of Cu. Compare that to the actual value (use your reference of choice, but make sure you reference the atomic radius rather than the ionic radius). a 1 a 2 a h a k d Intensity (arb. units) 40 50 60 70 80 90 2 (°) 4.
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HW4_MS115a - MS 115a, Problem Set #4 assigned 10/19/11 due...

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