MSE262_PrelimI_Solutions_2008

MSE262_PrelimI_Solutions_2008 - ENGRD 262 MS&E 262...

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Unformatted text preview: ENGRD 262/ MS&E 262 Spring 2008 Prelim I Solutions March 27, 2008 Problem 1: a) Identify the following plane. (5 points) (2 1 2) Consider two theoretical materials X and Y, given the following properties: X: SC ρ = 3.14 g/cm 3 , M = 12.01 g/mol Y: BCC ρ = 4.56 g/cm 3 , M = 10.81 g/mol b) Find the lattice parameter and atomic concentration. (10 points) Z X Y X ‐ intercept 1, Y ‐ intercept ‐ 2, Z ‐ intercept 1 X: ܽ ൌ ඨ ଵ ௔௧௢௠ ൈଵଶ.଴ଵ௚/௠௢௟ య.భర೒ ೎೘ య ൈ଺.଴ଶଶൈଵ଴ మయ ௔௧௢௠௦/௠௢௟ య ൌ √6.35 ൈ 10 ିଶସ ܿ݉ ିଷ య ൌ 1.85 Å ݊ ൌ ଵ௔௧௢௠ ௔ య ൌ 1.57 ൈ 10 ଶଷ ܿ݉ ିଷ Y: ܽ ൌ ඨ ଶ ௔௧௢௠௦ ൈ ଴.ସହ௚/௠௢௟ ర.ఱల೒ ೎೘ య ൈ଺.଴ଶଶൈଵ଴ మయ ௔௧௢௠௦/௠௢௟ య ൌ √7.87 ൈ 10 ିଶସ ܿ݉ ିଷ య ൌ 1.99 Å ݊ ൌ ଶ௔௧௢௠௦ ௔ య ൌ 2.54 ൈ 10 ଶଷ ܿ݉ ିଷ c) For the given two theoretical materials compare the (100) and (110) planar concentrations of atoms and state which plane has a higher electrical conductivity for each material and why. (10 points)...
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MSE262_PrelimI_Solutions_2008 - ENGRD 262 MS&E 262...

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