exam1 - Department of Electrical and Computer Engineering,...

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1 Department of Electrical and Computer Engineering, Cornell University ECE 407: Physics of Semiconductor and Nanostructures Spring 2009 Exam 1 ` Feb. 26, 2009 INSTRUCTIONS: • Every problem must be done in the blue booklet • Only work done on the blue exam booklets will be graded – do not attach your own sheets to the exam booklets under any circumstances • To get partial credit you must show all the relevant work • Correct answers with wrong reasoning will not get points • All questions do not carry equal points • All questions do not have the same level of difficulty DO NOT WRITE IN THIS SPACE
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2 Problem 1 (2D lattice) – 30 points Consider the following lattice consisting of three different kinds of atoms: A-atom (black-filled), B-atom (gray-filled), and C-atom (black-unfilled). a) Find and give expression for the primitive lattice vectors 1 a r and 2 a r and draw them on the figure and submit the figure with your exam copy. b) Sketch the Wigner-Seitz primitive cell for the lattice on the figure and submit the figure with your
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exam1 - Department of Electrical and Computer Engineering,...

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