1
Problem #1.
Suppose that you have 10 g of Cu at a temperature of 27 C. How many vacancies does your
10 g sample contain? The vacancy formation energy for Cu is Qv = 0.9 eV/atom.
To estimate total number of lattice sites in the sample, we calculate the n
1
MTE 207 Materials Science and Engineering
Fall 2015
Quiz 02
Problem #1. [5 pts.] What are the lattice parameters of the unit cell shown below?
0.3 nm
0.6 nm
a _0.3 nm_
b _0.3 nm_
c _0.6 nm_
_90_
_90_
_60_
0. nm
0.3
3
90
n
m
60
90
Problem #2. [5 pts.]
Problem #1.
There is a child trapped at the bottom of a well 50 m deep, and the rescuers have only
48 m of cable. The rescuers decide to add weight to the end of the cable to stretch it the
final 2 m. If the cable has a cross-sectional area of 1 cm2 and a
1
Problem #1.
If the atomic radius of lead is 0.175 nm, calculate the volume of its unit cell in m 3.
The volume of a cubic unit cell is given by V = a3, where a is the lattice parameter. If
we look up data on Pb, we find that it has the FCC crystal struc
Name: _
MTE 207 Materials Science and Engineering
Fall 2015
Quiz 04
Problem #1. [5 pts.] Please indicate the type of deformation (shear, bending, compression,
torsion) associated with each diagram.
M
T
Bending
Torsion
0.
3
n
m
Compression
F
Shear
Problem
Name: _
MTE 207 Materials Science and Engineering
Fall 2015
Quiz 03
Recall:
weight% of component in alloy: wt. % =
Diffusivity: = 0 (
Flux: =
or
mass of component
total mass of alloy
100
)
#
Ficks 1st Law: =
Ficks 2nd Law:
Problem #1. [5 pts.] Please l
1
MTE 207 Materials Science and Engineering
Fall 2015
Quiz 01
Problem #1. [5 pts.] Match these basic materials structures with their definitions:
a. crystals
_c_
b. glasses
long, entangled molecules of chained carbon
_e_
c. polymers
typically a mixture of
Problem #1
The critical nucleus radius can be determined using an equation
like
2Tm
2Tm
r* = =2
2
Hf (Tm - T )
Hf (T )
Ni has a latent heat of fusion of 2.53(109) J/m3, a surface free
energy of 0.255 J/m3, a melting temperature of 1750 K, and
supercooling
1
MTE 207 Materials Science and Engineering
Fall 2015
Problem Set 01
Problem #1.
Give the electronic configuration of the following ions:
a) P+5
b) P3
c) Sn+4
d) I
a) [He]2s22p6
b) [Ne]3s23p6
c) [Kr]4d10
d) [Kr]5s24d105p6
The trick is to realize that the