MTE 207 Materials Science and Engineering
Winter 2017
Problem Set 03 Solutions
Problem #1.
Suppose that you have 10 g of Cu at a temperature of 27 C. How many vacancies does your
sample contain? The vacancy formation energy for Cu is Qv = 0.9 eV/atom.
To
MTE 207 Materials Science and Engineering
Winter 2017
Problem Set 04 Solutions
Problem #1.
Calculate the diffusion coefficient for magnesium in aluminum at 950 C. The pre-exponential
constant and activation energy for this system are 1.2 10 4 m2/s and 130
MTE 207 Materials Science and Engineering
Winter 2017
Problem Set 05
Study for class on 02/15/2017
Problem #1.
There is a child trapped at the bottom of a well 50 m deep, and the rescuers have only 49.5 m
of cable. The rescuers decide to add weight to the
MTE 405 Physical Metallurgy Mechanical Properties
Fall 2016
Problem Set 06 (EXTRA CREDIT)
Due 12/09/2016
Problem #1. [Stress concentration] HV&H problem 5.25. A thin plate of a ceramic material with
E = 225 GPa is loaded in tension, developing a stress of
1. At 500C (930F), what is the maximum solubility (a) of Cu in Ag? (b) Of Ag in Cu?
Solution
(a) From Figure 9.7, the maximum solubility of Cu in Ag at 500C corresponds
to the position of the ( + ) phase boundary at this temperature, or to about 2 wt%
Cu.
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 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.]
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
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
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
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
MATLAB Primer Third Edition
Kermit Sigmon Department of Mathematics University of Florida
Department of Mathematics University of Florida Gainesville, FL 32611 [email protected] Copyright c 1989, 1992, 1993 by Kermit Sigmon
On the Third Edition
The Thir
Version Fall 2008, Not Complete yet The Random Walk and Diffusion One-Dimensional Random Walk Imagine a path of equally-spaced stepping stones: .
You start a random walk by standing on one stepping stone and tossing a fair coin. If it comes up heads, you
There are 3 key elements to pay attention to: Text, Figures, and Calculations
Text
Figures
Calculations
What is the Topic of the chapter? What does the title mean? What are the MAIN points of the chapter? Find out by reading the SUMMARY rst.
What does the
Determine Your Listening Style
Consider the following pairs of statements. Place a check next to the statement in each pair that more closely describes your style.
1a. When Im listening in class, I lean back and get as comfortable as possible. 1b. When Im
Band Diagrams
Lecture 13 MTE 208
Learning Objectives
Be able to Draw and label parts of band diagrams for metals, semiconductors and insulators Classify materials according to band diagram Be able to utilize the Fermi-Dirac Distribution function to calcu
Electrical Properties
Lecture 12 MTE 208
Ohms law
V = I R
http:/en.wikipedia.org/wiki/File:3_Resistors.jpg
V: applied voltage
Cross-sectional area, A
Material of interest
I
l
Length, l
Ammeter: measures current, I Ground (V=0)
Compare R2 to R1
Direction o
Lecture 9 Diffusion III
Atomic Mechanisms of Diffusion And The Random Walk
Previously on Diffusion.
Macroscopic picture of diffusion Knowing c(x), we can predict Jx and dc/dt using Ficks 1st and 2nd laws. Solutions to these differential equations exist f
Diffusion II
Solving Diffusion Problems Oct. 27, 2009
Announcements
Diffusion Exam next Thursday, Nov. 5 Diffusion Homework (5) Due Tuesday, Nov. 3 work through the examples in the textbook
Ficks Laws of Diffusion
c D = Jx x
c c D 2= t x
2
1st law: Conc
Diffusion I
Oct. 20, 2009
Learning objectives
Be able to state the definition of diffusion, and recognize when it is happening Learn to interpret Ficks 1st and 2nd Laws Given a concentration profile: Determine relative magnitudes and directions of Flux De
Amorphous Materials X-Ray Diffraction Ceramic Structures
Lecture 6 October 13, 2009
Learning Objectives
Calculate likely CNs of cations and anions, using r/R Calculate whether a compound is likely to form a glass, using Zachariasens rules Determine the l
Crystalline and Non-Crystalline Structures
Lecture 5 October 8, 2009
Atomic Density
Number of atoms per volume
Calculate atomic density for the three cubic structures
Density
Mass per volume
m = V
The unit cell can be repeated to form the entire structu
Crystalline and Non-Crystalline Structures
Lecture 4 October 6, 2009
Crystal = Lattice + Motif
Lattice = mathematical framework of identical points, defined by the lattice parameters Motif (or Basis) = the pattern that is associated with each lattice poi