RelativeResourceManager - MSE 280: Engineering Materials...

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MSE 280: Engineering Materials Spring 2011 Homework 3 Instructor: Lane Martin 1 Assigned : February 11, 2011 | Due : In class, February 18, 2011 | Total Points : 100 1. (20 pts.) Atomic and void positions in a structure. a. (10 pts.) Draw a face-centered cubic unit cell. Find the positions of the atoms, and the positions of the octahedral and tetrahedral voids within the structure. How many lattice sites, octahedral, and tetrahedral voids are contained in a cell? b. (6 pts.) Let a material have the fcc structure, and consist of spherical atoms that just touch one another. What is the radius of the largest sphere that will fit inside an octahedral void without distorting the structure? What is the radius of the largest sphere that will fit in a tetrahedral void without distortion? [Hint: the geometry of the tetrahedral void is much easier to treat if you first show that the center of the void lies at the center of a cube that is 1/8 the size of the fcc unit cell.] c. (4 pts.) Draw an hcp structure and label the tetrahedral voids and octahedral voids on one
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This note was uploaded on 03/31/2011 for the course MSE 280 taught by Professor Martin during the Spring '11 term at Academy of Design Tampa.

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