TUTORIAL CHAPTER I-3: CRYSTALLOGRAPHY

TRY IT YOURSELF!

1. Draw plane )011(

2. If Copper (FCC) has atomic mass of 63.54 g/mol and atomic

radius of 0.1278 nm. Calculate the volume density for Cu.

TUTORIAL

1. Define the following terms: (a) crystalline solid, (b) long-range order, (c) short-

range order, and (d) amorphous.

2. Define the following terms:

a. Crystal structure

b. Space lattice

c. Lattice point

d. Unit cell

e. Motif

f. Lattice constants

3. For BCC unit cell,

a. How many atoms are there inside the unit cell

b. What is the coordination number for the atoms

c. What is the relationship between the length of the side a of the BCC unit

cell and the radius of its atoms

d. What is the atomic packing factor

4. How are the Miller indices for a crystallographic plane in a cubic unit cell is

determined? What is generalized notation is used to indicate them?

5. What is the direction that shown in the unit cell below?

6. What is the plane’s miller index that shown in the unit cell below ?

2

17. Draw direction vectors in unit cells for the following cubic directions:

a. ]211[

b. ]321[

c. ]313[

d.[ ]120[

e. ]212[

f. ]332[

g. ]011[

h. ]112[

i. ]321[

j. ]310[

k. ]221[

l.[ ]322[

Solution for TRY IT YOURSELF!

Q1. Plane )011(

The reciprocals are (1,-1, ∞)

The intercepts are x=1, y=-1 and z= ∞ (parallel to z axis)

To show this plane in a single unit cell, the origin is moved along the positive

direction of y axis by 1 unit.

Q2. What is the volume density of Cu?

Volume density of metal= cellunitvolume

cellunitmass

v /

/

3

329107.43)361.0(3

361.02

1278.04

2

4

mxaVcellunitofvolume

nmnmR

a

Fcc unit cell has 4 atoms

Mass of unit cell= m=

Mgx

g

Mg

molatomsx

molgatoms

28

6

23

1022.4

)10

(/107.4

)/54.63)(4(

3332998.898.8

107.4

281022.4

cm

g

m

Mg

mx

Mgx

v

mv