Introduction to Materials for Electrical and Computer Engineering
ECE 331

Spring 2011
ECE331 Homework #8 Solution
(Due Friday, March 10, 2006)
1. Callister, 9.13
This problem asks us to consider a specimen of ice I which is at 10C and 1 atm pressure.
(a) In order to determine the pressure at which melting occurs at this temperature, we mo
LAST TIME: Equilibrium Concentration: Point Defects
Equilibrium concentration varies with temperature! No. of defects No. of potential defect sites. Activation energy
Q Nv v = exp kT N
Temperature Temperature
Boltzmann's constant (1.38 x 10 23 J/atom
Electronic Properties: back to electrons and bonding electrons and bonding
(a) The Thompson model of an atom, in which the positive charge is uniformly distributed in a sphere and the electrons are considered to be negative point charges embedded in it it
The Structure of Crystalline Solids The Structure of Crystalline Solids
ISSUES TO ADDRESS.
How do atoms assemble into solid structures? How do atoms assemble into solid structures?
How does the density of a material depend on th its structure? When do m
Homework 2 Solution
Winter 2011
Prof.Ringel
3.41 Determine the Miller indices for the planes shown in the following unit cell:
Solution For plane A we will leave the origin at the unit cell as shown; this is a (403) plane, as summarized below. x Intercept
DEPARTMENT OF ELECTRICAL AND COMPUTER ENGINEERING The Ohio State University Course Syllabus ECE 331 Introduction to Materials for Electrical Engineering Winter 2011 MWF 1302:18 120 Caldwell Lab COURSE OBJECTIVES: In almost every case, the work of enginee
Chapter 5: Diffusion in Solids
ISSUES TO ADDRESS.
How does diffusion occur? How does diffusion occur? Why is it an important part of processing? How can the rate of diffusion be predicted for some simple cases? How does diffusion depend on structure and
The Structure of Crystalline Solids The Structure of Crystalline Solids
ISSUES TO ADDRESS.
How do atoms assemble into solid structures? How do atoms assemble into solid structures?
How does the density of a material depend on th its structure? When do m
The Structure of Crystalline Solids The Structure of Crystalline Solids
ISSUES TO ADDRESS.
How do atoms assemble into solid structures? How do atoms assemble into solid structures?
How does the density of a material depend on th its structure? When do m
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% Cu  wt% Ni), and  the temperature (T ) then. How many phases form? What is th
Theoretical Density,
Density = = =
Mass of Atoms in Unit Cell Total Volume of Unit Cell
nA VC NA
where
n = number of atoms/unit cell A = atomic weight VC = Volume of unit cell = a3 for cubic NA = Avogadros number = 6.023 x 1023 atoms/mol
Theoretical Dens
Homework 2 Solution
Winter 2011
Prof.Ringel
3.41 Determine the Miller indices for the planes shown in the following unit cell:
Solution For plane A we will leave the origin at the unit cell as shown; this is a (403) plane, as summarized below. x Intercept
Theoretical Density,
Density = = =
Mass of Atoms in Unit Cell Total Volume of Unit Cell
nA VC NA
where
n = number of atoms/unit cell A = atomic weight VC = Volume of unit cell = a3 for cubic NA = Avogadros number = 6.023 x 1023 atoms/mol
Theoretical Dens
Introduction to Materials for Electrical and Computer Engineering
ECE 331

Spring 2011
ECE331 Homework #7 Solution
(Due Monday, March 6, 2006)
1. Callister, 5.3
(a) With vacancy diffusion, atomic motion is from one lattice site to an adjacent vacancy. Selfdiffusion
and the diffusion of substitutional impurities proceed via this mechanism.
Introduction to Materials for Electrical and Computer Engineering
ECE 331

Spring 2011
ECE331 Homework #6 Solution
1. Streetman 3.12
1/4 pages
2. Streetman, 3.13
(a)
2/4 pages
3. Streetman, 3.14
(a)
(b)
3/4 pages
4. Streetman 3.15
(i) For an applied voltage of 2.5 V across its length, 5m
= 2.5V / 5 10 4 cm = 5000V / cm , which is below 104
Introduction to Materials for Electrical and Computer Engineering
ECE 331

Spring 2011
ECE331 Homework #4 Solution
1. Explain the concept of electron effective mass. At what scenario the effective
mass is the actual electron mass? Use equations if necessary.
Effective mass is the term used to describe the total effect of forces outside
and
Introduction to Materials for Electrical and Computer Engineering
ECE 331

Spring 2011
ECE331 HW#3 Solution
1. Streetman, 2.5
(a)
h
6.63 10 34
kg * m
p x =
=
=
= 1.06 10 24
10
x 2x 2 1 10
s
(b)
h
4.14 10 15
1
t =
=
=
= 6.59 10 16
E 2E
2 (1)
s
(
)
2) Streetman, 2.6
1
E = mv 2
19
2
, 1eV = 1.6 10
=
h
=
mv
h
m
2E
m
=
h
2 Em
=
6.63 10 34
2 9.
Introduction to Materials for Electrical and Computer Engineering
ECE 331

Spring 2011
Winter2006 ECE331 Homework #2 Solutions
1. [3.32]
Direction A is a [ 1 10] direction
Direction B is a [121] direction
Direction C is a [0 1 2 ] direction
Direction D is a [1 2 1] direction
2. [3.37]
For plane A this is a (1 10 ) plane. For plane B, this i
Introduction to Materials for Electrical and Computer Engineering
ECE 331

Spring 2011
Wi2006 ECE331 Homework #1 Solution
1. Callister (6th edition), Problems 2.5
The n quantum number designates the electron shell.
The l quantum number designates the electron subshell.
The ml quantum number designates the number of electron states in each e
Introduction to Materials for Electrical and Computer Engineering
ECE 331

Spring 2011
ECE 331: Midterm II, May 5, 2008
ti
NAME : `^i2 ll Gc' Z'l 7
PLEDGE : " No aid given , received or observed ." Signature
FILL YOUR NAME AND PLEDGE YOURSELF TO FINISH THIS EXAM
INDEPENDENTLY.
ALL QUESTIONS MUST BE ANSWERED ON THE PAGES PROVIDED. WHEN
NECE
Introduction to Materials for Electrical and Computer Engineering
ECE 331

Spring 2011
ECE331 Homework #7 Solution
1.
This problem asks us to consider a specimen of ice I which is at 15C and 10 atm pressure.
(a) In order to determine the pressure at which melting occurs at this temperature, we move
vertically at this temperature until we c
Theoretical Density,
Density = = =
Mass of Atoms in Unit Cell Total Volume of Unit Cell
nA VC NA
where
n = number of atoms/unit cell A = atomic weight VC = Volume of unit cell = a3 for cubic NA = Avogadros number = 6.023 x 1023 atoms/mol
Theoretical Dens