MAE 201 Assignment 2

MAE 201: Materials Science Instructor: Dr. Dipankar Ghosh Assignment #2 (Chapter-3) Due date: 09/14/2022, 11.59 pm (Through Canvas, a link is provided for submission) Late submission is NOT accepted Answer all the questions and show all the steps clearly 1. Show that the atomic packing factor for BCC is 0.68. 3. If the atomic radius of lead (FCC crystal structure) is 0.175 nm, calculate the volume of its unit cell in cubic meters. 4. Unit cell of a hypothetical metal is shown below. Answer the following questions: (a) What is the crystal system? (b) What would this crystal structure be called? |

MAE 201: Materials Science Instructor: Dr. Dipankar Ghosh 5. 10. Determine linear atomic density along [101] direction of an FCC unit cell with lattice constant a (cube edge length). Determine linear atomic density along [001] direction of an FCC unit cell with lattice constant a (cube edge length). -+ Determine linear atomic density along [111] direction of an FCC unit cell with lattice constant a (cube edge length). ! [} % 1 Determine linear atomic density along [011] direction of a BCC unit cell with lattice constant a (cube edge length). ) 1 o K} | ol .~ Y L/ Determine linear atomic density along [111] direction of a BCC unit cell with lattice constant a (cube edge length). [/ | i Determine linear atomic density along [001] direction of a BCC unit cell with lattice constant a (cube edge length). L

MAE 201: Materials Science Instructor: Dr. Dipankar Ghosh 14. In the cubic unit cell shown below, show the following plane: (303). Z / 4 15. In the cubic unit cell shown below, show the following plane: (310). . & X X 16. In the cubic unit cell shown below, show the following plane: (210). : B 1o

MAE 201: Materials Science Instructor: Dr. Dipankar Ghosh 17. In the cubic unit cell shown below, show the following plane: (200). V4 X 18. In the cubic unit cell shown below, show the following plane: (010). Z X 19. In the cubic unit cell shown below, show the following plane: (003). Z ) w