Homework4-2010 - MEMS 1054 Homework Assignment #4 NAME:...

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Homework Assignment #4 MEMS 1054 NAME: Return by next Wednesday! 7 Questions in total! This is an important homework for you in MEMS1054. Get Started early, especially since I uploaded it only today, Friday! Chapters 3 and 4 of the Cullity & Stock text and my uploaded notes should be useful in the context of this homework. 1) Define the primitive unit cell vectors, a*, b*, c* , of the reciprocal lattice of a crystal structure with a unit cell that is spanned by the primitive vectors a, b, c . 2) Show that the product of the volume of the primitive unit cells of the reciprocal lattice and the Bravais lattice of a given crystal structure is equal to unity, i.e., V C x V C * = 1 3) Show (you can do this graphically or algebraically) that a) a tetragonal crystal structure has a reciprocal space lattice that is tetragonal; b) a hexagonal crystal has a hexagonal reciprocal space lattice; (Hints: Exploit the symmetry related constraints on the lattice parameters for the tetragonal and hexagonal lattices)
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This note was uploaded on 01/07/2011 for the course MEMS Mems1054 taught by Professor Wiezorek during the Fall '10 term at Pittsburgh.

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Homework4-2010 - MEMS 1054 Homework Assignment #4 NAME:...

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