mse hw 3

mse hw 3 - MSE 230 Spring 2011 Homework#3 – X-ray...

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Unformatted text preview: MSE 230 Spring 2011 Homework #3 – X-ray Diffraction (60 points) (Due Jan 27 or 28) Spring 2008 Homework #3 – X-ray Diffraction (50 points) (20 pts) 1. The following are x-ray data taken from an unknown metal. The wavelength of the copper x-ray radiation wasx-ray data taken from an unknowncalculation sequence to (20 pts) 1. The following are 0.154 nm. Use the following metal. The wavelength answerof thefollowing questions: was 0.154 nm. Use the following calculation sequence to the copper x-ray radiation a. Justify why this x-ray pattern is from a FCC metal. answer the following questions: a. Justify why this x-ray pattern is from a FCC metal. b. Calculate the interplanar spacing, d, giving rise to the {200} diffraction peak from the b. using Bragg’s Law. data and Calculate the interplanar spacing, d, by choosing a one of the diffraction peaks from the data and using the unit cell c. Calculate the size of Bragg’s Law. using the interplanar spacing equation from class. c. Calculate the size of the unit cell using the interplanar spacing equation from class. d. Calculate the radius of the the atom. atom. d. Calculate the radius of e. Go to. insideinside cover of your book and selectthee best fit for this material, considering the the e Go to cover of your book and select th best fit for this material, considering crystalcstructure and atom radius size. rystal structure and atom radius size. X-ray Diffraction Data from an Unknown Sample 120 111 Relative Intensity 100 80 60 200 40 311 220 20 222 400 0 30 40 50 60 70 80 90 100 Twice the Bragg Angle (2 ) (10 pts)10 pts) 2. Callister 3.61 ( 2. Callister 3.61 (10 pts)10 pts) 3. Callister 3.62 ( 3. Callister 3.62 ( 4. Callister 3.65 (10 pts)10 pts) 4. Callister 3.65 (10 pts) 5. Alloying Cu (fcc) with Zn (hcp) produces the substitutional solid solution alloy brass (fcc). (a) If adding Zn slightly decreases the x-ray diffraction angle for each peak, does the alloy have a smaller or larger lattice parameter than Cu? Justify your answer using Bragg’s Law. (b) Compare the atomic radius of Cu and Zn and explain why the lattice parameter of Cu decreases or increases when it is alloyed with Zn. ...
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