MSE 120 Homework 1
Due on January 12
1.1) A 10 mm cube of germanium passes a current of 6.4 mA when 10 mV is applied between two of its
parallel faces. Assuming that the charge carriers are electrons that have a mobility of 0.39 m2 V1 s1,
calculate the de
MSE120 HW4
8.2 Show that the most probable electron energy in the conduction band of a semiconductor is
above the bottom of the band (assume that the Fermi level is several below the conduction band).
Find the average electron energy.
8.4. The variation
MSE120 HW3
6.1) Evaluate the Fermi function for an energy kT above the Fermi energy. Find the temperature at which there is
a 1% probability that a state, with an energy 0.5 eV above the Fermi energy, will be occupied by an electron.
6.3) Ultraviolet ligh
MSE120 HW2
3.4) In electromagnetic theory the conservation of charge is represented by the continuity equation:
=
where J = current density and N = density of electrons. Assume that (, ) is a
solution of Schrodingers equation in a onedimensional proble
MSE120 HW3
7.2) Xray measurements show that electrons in the conduction band of lithium
have energies up to 4.2 eV. Take this as the highest filled energy level in the band.
If you further identified this energy level with the Fermi level, what average
e
MSE 131 W17 Homework 3 Solutions
1) Given L = 1.88 x 109 J/m3, Tm = 1356 K, SL = 0.177 J/m2, f0 = 1011 /s, Co = 6 x 1028 atoms/m3, and k
= 1.38 x 1023 J/K, use = 0 0 exp cfw_
3
2
16
32
1
2
(eq 4.13) and = =
to calculate Nhom for each undercooling. The
MSE 131 W16 HW #2 Solutions
1.) (a) fcc cfw_110
(a)
(b)
(c)
zs = surface coordination number = 5.
The 5 white atoms in (c) are the 5 nearest neighbors to the (110) surface. Also known by
considering coordination in fcc is 12. In plane one atom on the cfw_
5.30 The following figure shows a plot of the logarithm (to the base 10) of the diffusion
coefficient versus reciprocal of the absolute temperature for the diffusion of vanadium in
The following
figure shows
a plot
of the
logarithm
(to the
10) of the diff
Factors That Influence Melting and Glass Transition Temperatures
15.33 For each of the following pairs of polymers, plot and label schematic specific volumeversustemperature curves on the same graph [i.e., make separate plots for parts (a) to (c)].
(a) L
Finale Sample problem
Factors That Influence Melting and Glass Transition Temperatures. For
each of the following pairs of polymers, plot and label schematic specific
volumeversus temperature
curves on the same graph [i.e., make separate plots for parts
MSE104, Quiz #2
Page 1
March 2, 2015
Arsenicdoped silicon has at room temperature a conductivity of 0.02 1 m1 and electron
and hole mobilities of 0.14 and 0.05 m2/(V s), respectively.
(a) (10 pts) What are the predominant charge carriers in this materi
Diffusion Mechanisms and
Random Walk
meg/aol 04
Outline
Interstitial diffusion
Substitutional diffusion
Interstitialcy mechanism
Direct exchange
Ring mechanism
Vacancyassisted diffusion
Random walks
Monte Carlo simulations
Einsteins formulation for D
me
Ficks Second Law and Different
Solutions to the Diffusion Equation
meg/aol 04
Ficks 2nd Law
Ficks 1st law is a response law that can be solved conveniently only under
steadystate conditions.
However, the distribution of atoms, C(r, t,), usually depends o
Introduction to Ficks Laws and
Diffusion Basics
meg/aol 04
Phenomenological Laws
k dP
= A
dx
Darcys Law
Porous flow
dT
Q = k
dz
Fouriers Law
dE
I =
dx
Ohms Law
dC
J = D
dx
Ficks First Law
Heat flow
Electric flow
Mass flow
meg/aol 04
Adolf Fick: Contr
MSE 104: Science of Engineering
Materials
Course Objective.
Introduce basic concepts in MSE
You will learn about:
material structure
how structure dictates properties
how processing can change structure
This course will help you to:
understand & use m
1/26/16
Lecture 8: Kinetics and Phase
Transformations
ISSUES TO ADDRESS.
Transforming one phase into another takes time.
Fe
(Austenite)
C
FCC
Eutectoid
transformation
Fe3C
(cementite)
+
(ferrite)
(BCC)
How does the rate of transformation depend on
time
1/19/16
Chapter 9: Phase Diagrams
ISSUES TO ADDRESS.
When we combine two elements.
what is the resulting equilibrium state?
In particular, if we specify.
 the composition (e.g., wt% Al  wt% Cu), and
 the temperature (T )
then.
How many phases form?
W
2/22/16
Lecture 16: Optical Properties
ISSUES TO ADDRESS.
What phenomena occur when light is shined on a material?
What determines the characteristic colors of materials?
Why are some materials transparent and others are
translucent or opaque?
How doe
1/25/16
IronCarbon (FeC) Phase Diagram
T(C)
2 important
points
 Eutectic (A):
1600
L
L + Fe3 C
+L
(austenite)
1200
 Eutectoid (B):
+ Fe3 C
1000
727C = T
eutectoid
600
+Fe3 C
400
0
(Fe)
120 m
Result: Pearlite = alternating
layers of and Fe 3 C
3/6/16
Lecture 20: Composites
ISSUES TO ADDRESS.
What are the classes and types of composites?
What are the advantages of using composite
materials?
How do we predict the stiffness and strength of the
various types of composites?
Lecture 20  1
Composi
3/2/16
Lecture 18:
Polymer Bonding & Structures
ISSUES TO ADDRESS.
What are the general structural and chemical
characteristics of polymer molecules?
What are some of the common polymeric
materials, and how do they differ chemically?
How is the crystal
Department of Materials Science and Engineering
School of Engineering and Applied Science
University of California, Los Angeles
Science of Engineering Materials
MAT SCI 104
Homework #1
Due 7/5/2016 (2:00 p.m.)
2.19) For a Na+Cl ion pair, attractive and re
MSE 104 Midterm Review
Chapter 1  1
Ionic Bonding
Occurs between + and  ions
Requires electron transfer
Large difference in electronegativity required
Example: NaCl
Na (metal)
unstable
Cl (nonmetal)
unstable
electron
Na (cation)
stable

+
Coulombic
Att
Science of Engineering Materials
MAT SCI 104
Homework Problem Set #2
Solutions
Chapter 4
4.5) (From Callister 7th and 8th edition, for 9th edition users refer to problems 4.8 and 4.9) For both FCC and
BCC crystal structures, there are two different types
Department of Materials Science and Engineering
HSSEAS
University of California, Los Angeles
MSE 104
Summer 2016
Prof. M.S. Goorsky
Midterm (1:50:00)
NAME: _SOLUTION_
UID
Problem 1
(30)
Problem 2
(10)
Problem 3
(15)
Problem 4
(10)
Problem 5
(15)
Problem 6
Science of Engineering Materials
MAT SCI 104
Homework Problem Set #4
Due Date: 8/9/16
Chapter 12
12.5 On the basis of ionic charge and ionic radii given in Table 12.3, predict crystal structures
for the following materials:
(a) CaO
(b) MnS
(c) KBr
(d) CsB
Department of Materials Science and Engineering
HSSEAS
University of California, Los Angeles
MSE 104
Summer 2016
Prof. M.S. Goorsky
Quiz 2 (50:00)
NAME: _SOLUTIONS_
Problem 1
(30)
Problem 2
(20)
Problem 3
(25)
Problem 4
(25)
Total
(100)
Useful Constants:
MSE104, Quiz #1
Page 1
July 6, 2016
Department of Materials Science and Engineering
Henri Samueli School of Engineering and Applied Science
University of California, Los Angeles
MSE 104, QUIZ No. 1 (1hr) Summer 2016
Show all work and include units for ful