KXEX1110: Fundamentals of Materials Science Semester I, 2014/2015Lecturer: Dr. Wong Yew Hoong

Tutorial 2: Crystal and Amorphous Structure in Materials (Part I)

1. What are the three most common metal crystal structures? List five metals that have each

of these crystal structures.

2. Strontium is FCC and has an atomic radius of 0.215 nm. Calculate a value for its lattice

constant a in nanometers.

3. List the atom positions for the eight corner and six face-centered atoms of the FCC unit

cell.

4. Draw direction vectors in unit cubes for the following cubic directions:

(a) [ 021 ] (b)[ 21 2 ] (c) [ 233 ] (d) [ 12 2 ]

5. A direction vector passes through a unit cube from the ( 34

, 0 ,14 ) to the ( 1

2,1,0) positions.

What are its direction indices?

6. Draw in unit cubes the crystal planes that have the following Miller indices.

(a) ( 2̄ 32 ) (b) (13 {3̄¿ ) (c) (3 1̄ 2 ) (d) ( 3̄ 3 1̄ )

7. What are the Miller indices of the cubic crystallographic planes shown in figures below?

1

(a) (b)

a

b

dz

c

a

cd

z

¼ ⅓

⅓

¼