Assignment3_solution - Assignment #3 Solutions ME264...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
1 Assignment #3 Solutions ME264 Materials Science for Mechanical Engineering Spring 2009 Due Date: 4 March 2009 (5 pts) 1. (1pt) (a) Calculate the density of an f.c.c. packing of spheres of unit density. (b) If these same spheres are packed to form a glassy structure, the arrangement is called “dense random packing” and has a density of 0.636. If crystalline f.c.c. nickel has a density of 8.90 Mg m -3 , calculate the density of glassy nickel. Solution: (a) Let the spheres have a diameter of 1. Then the unit cell has an edge length 2 , and a volume 2 2 . It contains 4 atoms, with a total volume 4 6 π . Hence density, ρ , is given by ( ) ( ) 4 0.740 6 2 2 ρ = = (b) Glassy nickel is less dense than crystalline nickel by the factor 0.636 / 0.740 . The density is therefore ( )( ) 3 8.90 0.636 / 0.740 7.65 Mg m - = 2. (2pts) (a) Sketch three-dimensional view of the unit cell of b.c.c. crystal, showing a (100) plane, a (110) plane, a (111) plane and a (210) plane. (b)
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 3

Assignment3_solution - Assignment #3 Solutions ME264...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online