mechanical engineering (materials course)

Dear students,

This assignment should get you some experience in calculating Miller indices and various characteristics of directions and planes. You can turn in a hard copy of this assignment in class if you cannot type all the equations in MS word.

Question 1:

Describe in your own words the following and give an example:

1.

2. Short Range Order

3. Long Range Order

4. Single Crystal

5. Poly Crystal

6. Liquid Crystal

7. Lattice

8. Unit Cell

Question 2:

1. Determine the Miller Indices for the following direction – SHOW ALL WORK:

2. Determine the Miller Indices for the following direction – SHOW ALL WORK

3. Determine the Miller Indices for the following direction – SHOW ALL WORK

4. Determine the Miller Indices for the following direction – SHOW ALL WORK

5. Determine the Miller Indices for the following plane – SHOW ALL WORK

6. Determine the Miller Indices for the following plane – SHOW ALL WORK

Question 3:

Calculate the number of atoms, co-ordination number and the packing fraction for a Simple Cubic (SC), Body Centered Cubic (BCC) and Face Centered Cubic (FCC) unit cell. SHOW ALL THE WORK

Question 4:

Question 5:

Calculate atoms per plane, Planar Density (PD) and Planar Packing Fraction (PPF) for the following: (Show all the work)

1. SC (100) plane

2. BCC (110) plane

3. FCC (111) plane

Draw the planes in the respective unit cells to visualize it.

Locate or generate a chart that summarizes the relative general properties (strength and ductility) of materials having FCC, BCC and HCP crystal structures.