Recall from last time:
Classical or Continuum Thermodynamics
Continuum thermodynamics substitutes a few average quantities like temperature
T, pressure P, and internal energy U that represent the state of a system. These are
averages of molecular details
In this and in other lectures, some material is taken from the text, some are
my notes, some are from the notes of Professor Craig Carter of the Department
of Materials Science at MIT and some are from other sources that are noted.
Inclusion of all of thi
Last time:
1
Important Identities
1st & 2nd Laws:
dU =
Mathematics:
T dS P dV
" U %
" U %
dU = $ ' dS+ $ ' dV
# S &V
# V &S
Coefficient relations:
" U %
$
' =T
# S &V
" U %
and $
' = P
# V &S
Maxwell relation:
" P %
" T %
$ ' = $ '
# S &V
# V &s
10/12/14
First Law
Energy is a property of the universe which cannot change no
matter what process occurs.
The change in internal energy of a system must be equal to
the sum of all energy transfers across the boundary of the
system:
U = increase in the internal en
so L10 10_21_16
1
Exam on Monday
Closed book, closed notes
Reading - all of the text through page 74 (into
Chap. 4)
All lectures
Homework 1 & 2
Descriptive types of questions.
Need to know definitions of all quantities
state functions
properties (i
Summary
In all processes energy is conserved. Thus
dU = Q + W + W/
Internal energy is a state function.
In every volume element at all times entropy is created.
Entropy is a state function.
Processes are defined to be reversible or irreversible. Entropy p
Van der Waals equation of state
2
&
#
&
#
n
$ P + a&$ #! !(V nb ) = nRT or P = RT $ a !
$V !
$
!
V
V
b
%
"
m
% m"
%
"
6
2
2
3
2
1
Substance
a/(atm dm mol )
b/(10 dm mol )
Air
1.4
0.039
Ammonia, NH3
4.169
3.71
Argon, Ar
1.338
3.20
Carbon dioxide, CO2
3.610
Diffraction demo with 532 nm laser and visible grating
Diffraction demo with 532 nm laser and visible grating
Pick Cu
K
Quiz Questions
1.
What is the energy of Cu-1s state?
2.
What is the energy of Cu-2p state?
3.
What is the energy of Cu-K1 line?
4.
What
F =Fj =
fje2i(hu + kv + lw )
j
j
j
u, v, w = 0, 0, 0
1/2, 1/2, 0
Another quiz problem for today= Derive the structure factor for base-centered cubic!
Structure Factors
F =
S Fj =
N
S fje2i(hu + kv + lw )
j
j
j
j=1
Lattice
F
|F|2
hkl
SC
f
f2
all
BCC
0
2f
MSE 331 (2007) Properties of X-ray
Review exercise
(a) Which energy states are involved to generate Cu-K and Cu-K characteristic x-rays?
(b) From Appendix 7, find the wavelengths of Cu-K and Cu-K characteristic x-rays?
(c) What does the K(weighted average
Page=2/3
Electromagnetic Wave
(Maxwells equatio
E = A sin 2( x )
l
(conversion)
= c0/l
= 6.63x10-34/1.602x10-19
= 4.136 x 10-15 eVsec
x
c0 = speed of light = 3x108m/sec
l = wavelength of light (nm)
4.136x10-15(eVsec)x3x108(m)/l
E = (hc0)/l =
E(eV) = 1240
Lecture #8 :
reciprocal space
x-ray properties (begin reading Ch1)
axb
constant =
1
a2 x a3 a1
1
a3 x a1 a2
1
constant =a x a a
1
2
3
(5) Meaning of constant =
a2
c cosq
q
a
a1
This is a volume V
(6)
Relation between real and reciprocal points
a2 x a3
V
Mathematical procedure to add to two waves (vector)
E
EE11 =A1 sin (2t - 1 )
EE22 =A2 sin (2t - 2 )
E2
2
Superposition of two vectors
1
E1
E = E1 + E2
Im
Introducing Eulers notation
e i cos isin
Aei
Ae i Acos isin
i 2
i
| Ae | Ae Ae
i
A
2
Re
Properties
Lecture #15:
MT1 returned no later than Friday at end of class
Start reading Cullity Chapter 4: intensities of diffracted beams
polarization factor: 4.1-3
Lorentz factor
multiplicity factor, 4.7-10
temperature factor
absorption factor
MSE 331: XRD I
Lecture #16:
Continue reading Cullity Chapter 4: intensities of diffracted beams
STRUCTURE FACTOR
Scattering by atoms
How much larger?
Nucleus is much larger than electrons,
so cannot be made to oscillate to any
appreciable extent.
d
Whereas electrons
Todays lecture (L3):
Focus on cubic systems
Atomic packing factor (review from 170)
Theoretical density (review from 170)
Various cubic structures (Callister Chapter 12)
Ionic materials: ionic radius? (Chapter 12)
Various examples (Chapter 12)
tetr
MSE 331-HW:
(1) HW #1 due Wednesday, 10/12
Submission in class
(2) One day delay (late) submission by e-mail to
TA due on Oct. 13th
(3) TA will briefly look at your HW (not grading), and log in.
(4) Will return your HW either at end of class or to dropbo
z
Zone axis
y
x
A
(1,0,0)
z
B
y
Miller index hkl is a vector normal to the plane
x
(1,1,0)
High Resolution Electron Microscopy (HREM)
GaSe
Ga2Se3
GaAs
Draw the planes whose zone axis is [111]
cfw_110
How many planes?
(1-10)
(-101)
(0-11)
cfw_112
(1-21)
Ho
Published in: Joshua D. Wood; Scott W. Schmucker; Austin S. Lyons; Eric Pop; Joseph W. Lyding; Nano Lett. Article ASAP
DOI: 10.1021/nl201566c
Copyright 2011 American Chemical Society
a3
[100]
a1
a2
[100]
[110]
[110]
[010]
a1
[010]
Orthogonal coordinate
a3
Todays lecture (Sept. 30th, 2015):
Focus on cubic systems
Atomic packing factor (review from 170)
Theoretical density (review from 170)
Various cubic structures (Callister Chapter 12)
Ionic materials: ionic radius? (Chapter 12)
Various examples (Cha
Raina Shahrir
1428114
MSE 310: Fall 2016
Lecture Summary Week 6 (1)
On Wednesdays lecture, Professor Cao continued his lecture on diamonds. He began his
talk by talking about the properties of Carbon. Carbon belongs to group 14 in the periodic table
and h
On Friday, Pete George, who is one of the Boeing mentors working with this class
project, came as a guest speaker. He talked about fasteners that he has been working on with at
Boeing. Fasteners are broadly used in the aerospace industry and the material
On Wednesday, we had a guest speaker, Terry Tsuchiyama, who also happens to be one
of the Boeing mentors assigned for the Boeing project in this class. His area of expertise is
composites and working with Boeing, composites are one of the major materials
On Friday, Tom Stoebe, a former MSE chair came to give a talk on ethics and careers. He
has been with the UW MSE department for a long time and was the one who hired our current
MSE 310 professor. He first talked about his background and mentioned that as
As Professor Cao mentioned in previous lecture, one of the major aspects in the MSE
Tetrahedron is processing. Every material needs to undergo various processing and to identify
which process a material needs to undergo, one must understand the properties
Raina Shahrir
1428114
MSE 310: Fall 2016
Lecture Summary Week 5 (1)
On Wednesdays lecture, Professor Cao talked about Carbon. He began his talk by
explaining the properties of carbon through its position in the periodic table. He talked about
hybridizatio