Materials Physics, Spring 2022
Plan your abstracts for our JWP student research conference!

Week

Reading Schedule
(expect quizzes!)

Hands-on Grapplings

Pen & Paper Exercises Computer Exercises Links
1
Jan 3 BEFORE meeting, read
Thornton & Rex Ch 9
(T&R9)
and peruse the first few chapters of de Podesta.
See Piazza for details!!
Jan 5
Q&A on
T&R Ch 9


Read de Podesta
Ch 4 (dP4)
"Background Theory on Gases"
&
(Don't forget!)
Appendix 1
"Maxwell Distribution"
for Fri.
Jan 7 Q&A on
dP4
"Background Theory on Gases"
& Appendix 1
"Maxwell Distribution"

For Monday, read thru
dP Sect 5.5:
Intro, Density, Heat Capacity,
Compressibility,
Thermal Conductivity

This is a lot of reading

Get thru Sect. 5.4 by Saturday
Complete your pre-lab
and your reading
for the
Franck-Hertz
experiment



Ponder, in your
lab notebook,
about how far you can take your Franck-Hertz work:
What could you, in the lab, learn of the
mean free path of a gas?
What could you measure
(and resolve)?
What systematics could you explore?



Lab isn't done until you've "seen" the inelastic mean free path!
Pre-lab #1




Get those Summer Internship Applications out the door!
Get help with
LabVIEW
& Digilent
installations



In lab, you must
figure out how
to use
LabVIEW
programming
to capture two
voltage signals




Save to spreadsheet
and import into
Igor Pro
as in Sect 8 of
my tutorial
Reconnect with your lab assistant, Igor:
Igor Pro Tutorial

To find the locations of peaks that sit atop a rising background
(as in Franck-Hertz), use Igor Pro to automatically locate the
centroids of your peaks after background subtraction
(using, say, a cubic polynomial): look under the menu for
Analysis >> Packages >> Multipeak Fitting >> version 2
Read in your waves. Select HELP button to guide you further
You'll get three graphs: the top one contains the "Residuals,"
which are the difference between data and the "first-guess" model.
If it isn't too terrible, just click OK in the box at right, and then DO FIT,
and then look at the report to find your peak locations (to high precision).

In your OneNote, respond to this writing prompt:

2

Jan 10
Q&A
thru
dP Sect 5.5:

Cost-Benefit Analysis,
Density,
Heat Capacity,
Compressibility,
Thermal Conductivity

Jan 12 Discuss
thru
dP Sect. 5.8:

Thermal Conductivity,
Speed of Sound,
Electrical Properties,
and Optical Properties

Jan 14
Communal,
peer-to-peer
tutoring on
Mathematica
(including summation of potential energy associated with multiple point charges)

Write in your lab notebook:
How can you
calibrate your DAQ?
(Each station has a 6.5-digit multimeter)

Further steps are described in this brief video



Re-read
last week's materials on
the Franck-Hertz experiment
(to be revisited this week)



Lab isn't done until you've analyzed your data
Pen&Paper HW #1 due, start of class Jan. 12:
Expansion & Compression



Pen&Paper HW #2 due, start of class Jan. 14:
Manipulation

LabVIEW programming HW#1 If all measurement is an act of comparison,
can we know anything in an absolute sense?



Here Michael de Podesta discusses How we Measure the World:
(If pressed for time, you might start at 25:06)

3

Jan 17
No Classes

Jan 19
Come prepared to discuss:

dP pp. 145-158 top

&

Hofmann Ch 1:
classifications
of solids

Jan 21
Discuss your solutions to Pen&Paper HW #3 due
at the start of class
and
dP Ch 6
&
Hofmann
Ch 1

Come prepared to discuss
how you can refine your calibrations



Essick's
LabVIEW programming workbook
has a useful chapter on
control of
stand-alone
instruments

(Such as 6.5-digit multimeters)



Lab isn't done until you've written your
summary
in your lab notebook
Pen&Paper HW #3
due
Jan 21:
Interactions - Part I
LabVIEW programming HW#2

4

Jan 24
Quiz #1
on
dP Ch 4
&
Appendix 1

Jan 26
Discuss:

dP Ch 6
&
Hofmann
Ch 1

along with how to contribute to shared Wiki
Jan 28
Discuss:

dP Ch 6
&
Hofmann
Ch 1

Ponder, in your lab notebook, about what
ELECTRICAL properties you could,
in the lab, learn about a solid:
What can't you measure
or resolve?
(e.g., could
you measure
0.01 Ω?
What about
1 GΩ?)
What might limit you?



What systematics can you explore?

Do what might refine your understanding!

Lab isn't done until you've completed
propagation of uncertainties
in your lab notebook
Pen&Paper HW #4
due
Jan 26:
Delocalization



Pen&Paper HW #5
due
Jan 28:
Reciprocal Lattice




Pen&Paper HW #6
due
Jan 31:
Elastic Modulus
(needed for lab!)
LabVIEW programming HW#3 Projects available to you:
Solid-State Physics
(What connects up with your Articles of Interest log?)



Review
your
Intro-Level Physics
readings on
Single-Slit Diffraction,
and
Multi-Slit Interference

The Landauer model treats electrical conductance
of a wire smaller than the inelastic mean free path
in terms of the interference between all possible paths
(That is, electrons are treated as waves.)


Have you perused Dr Jaggi's publication list?
His latest is entitled:
Rare-region onset of superconductivity in niobium nanoislands

5

Jan 31
Discuss Hofmann Ch 2

(further classification of solids)

Feb 2
Discuss Hofmann Ch 2

(further classification of solids)

Feb 4
Discuss thru
dP Sect 7.4 &
Hofmann
Ch 3

(Mechanical Properties)

In your lab notebook, write:
How do you extract the
Elastic Modulus?
Come having turned in
Pen&Paper HW #6


Write in your lab notebook:
What can't you measure
or resolve?
(e.g., could you measure
a very low stiffness?
What about
a very high stiffness?)

What might limit you?

What actions might help you to assess the "reasonableness"
of a result?

Lab isn't done until you've shared your results and commentary on Piazza
Pen&Paper HW #7
due
Feb 2:
Interactions
Part II




Pen&Paper HW #8
due
Feb 7:
Non-Uniform Strain
Catch up on LabVIEW programming:

Turn in
all due LabVIEW programming HW sets
Projects available to you:
Solid-State Physics
(What connects up with your Articles of Interest log?)

The applet above requires you give permissions to you computer to run JAVA

6

Feb 7
Discuss thru
dP Sect 7.4 &
Hofmann
Ch 3
(Mechanical Properties)

Feb 9
Discuss thru
dP Sect 7.6
- a tale full of sound and (microscopic) fury

Feb 11
Discuss
Hofmann
Sect. 4.1-4.2
(which connects back
to dP Sect 7.6)

Intro to
Collective Modes
and the
effective quasiparticles
of many-body systems

Write in your lab notebook:
key steps from your
required pre-lab reading
on beam-bending experiments
(NON-uniform strain) and from
Pen&Paper HW #8 (turned in on time!)



The ANALYSIS
required in your lab notebook
is non-trivial

Lab isn't done until
you've analyzed your data
Pen&Paper HW #9
due Feb 11

CONSTRUCT
Mechanical Break Junctions
Write to refine your understanding:
How can you ensure the wire is mounted
without slack or slip?
In ADVANCE, consider
the thickness of the beam,
that you affix the gold wire to.
What are the advantages of a thicker beam?
Can you estimate the
range of motion required?
What are the advantages
of a thinner beam?
Data at lower resistance reflects a transition from elastic deformation to plastic flow and
material creep.
LabVIEW programming HW#4

Can these labs move you towards
your "Top 5"?



7

Feb 14
Quiz #2:

de Podesta
Ch 4-5 &
part of Ch 6
and
Hofmann Ch 2

(but not Ch 1)

Feb 16
Quiz #3:

de Podesta
thru Sect 7.6
and
Hofmann Sect 4.2

Feb 18
Discuss thru
dP Sect 7.7

(Effective Charge Carriers)

Construct your apparatus, and
prior to measuring the delicate gold wire,
first test your data-taking system with a robust 12K resistor in place of the fine wire

Quantized steps appear only in the
kiloohm regime.
Estimate how rapidly the final snap occurs.
What might improve your
measurement resolution?

This takes TIME!
Pen&Paper HW #10 due
Feb 18



PositiveFeedback
When does a
Philosophy Student
become a Philosopher?

Riff on your brainstorms, in writing!
Catch up on LabVIEW programming:

Turn in
all due LabVIEW programming HW sets
Explore simulations of Normal Modes:

Projects available to you:
Solid-State Physics
(What connects up with your Articles of Interest log?)

8

Feb 21
Discuss thru:

Hofmann Ch 4
&
dP Sect 7.8

Thermal Transport
and
"the dog
which
did not
bark
"

Feb 23
Transport Problems:
Hofmann Ch 5 &
dP Sect 7.8

Feb 25
Quiz #4:

de Podesta
thru Sect 7.8
and
Hofmann Ch 4

When calibrating a meter, what should you be comparing to?
If you can prepare a
mechanical break junction,
whose conductance very near failure
is necessarily
an integer multiple of the
quantum conductance
(i.e., the square of
the electron charge
divided by Planck's constant),
doesn't that provide a better
calibration standard
than comparison to a 6.5-digit multimeter which may have,
itself, last been calibrated years ago?

Focus your data taking on
the correct data range:
predict the numerical values for the
final four steps in conductance or resistance
Pen&Paper HW #11 due
Feb 23



Pen&Paper HW #12 due
Feb 25
LabVIEW programming HW#5

It's time to consider METROLOGY:
What began with a discussion about how to
calibrate your DAQs,
transitioned into a conversation claiming:
All measurement is
an act of comparison
,
but — quite recently — by redefining
measurement units
in terms of
fundamental physical constants,
the conversation has changed:
there is an argument that what had been
comparisons will henceforth become absolute measurements. What do you think?
Note: While JWP abstracts had to be submitted by Feb 18, at IWU there are always opportunities for you to act upon your interests. Please grow that conversation!



9

Feb 28
Hofmann Ch 6 &
de Podesta
Band Theory of Solids:
Quantum Models of Conduction

Mar 2
Discuss thru:
Hofmann Ch 6
&
de Podesta
Band Theory of Solids:
Quantum Models of Conduction

Mar 4
Discuss thru:
Hofmann Ch 6
&
de Podesta
Band Theory of Solids:
Quantum Models of Conduction

To highlight the conventions of
writing within the discipline,
each individual student will need to write a formal paper about the transition from classical to quantum conductance
in nanowire materials,
using Overleaf,
a free-to-use online LaTeX editor that you can use in your browser.



However, the writing process begins with a
focus on figure preparation
(to be followed by caption writing, and then writing segments that guide the reader through what you want them to notice in each figure).

Pen&Paper HW #13 due
Mar 2



Pen&Paper HW #14 due
Mar 4
When importing data containing
descriptive headers,
see Section 8 of my
tutorial on
Igor Pro


Catch up on LabVIEW programming:

Turn in
all due LabVIEW programming HW sets
The applet above requires you give permissions to you computer to run JAVA

Projects available to you in Solid-State Physics
(What connects up with your Articles of Interest log?)

10

Mar 7
Discuss thru
Hofmann Ch 7:
Semiconductors

Mar 9
Read de Podesta Ch 3
on Measurement,
pondering your lab options
and
Magnetism in Solids

Mar 11
Read de Podesta Ch 3
on Measurement,
pondering your lab options
and
Magnetism in Solids

Labs are now individually selected measurement projects,
e.g., on
Solid-State Physics
(What connects up with your Articles of Interest log?)



de Podesta Ch 3
is the key
(Search the web for some writing of interest on the "metrological triangle")
Begin your preparations!
(by writing in your lab notebook!)
Share, via Piazza, a note of particular interest on the
"metrological triangle"
(This is HW!)



Ponder the interconnectedness
of all things

(e.g., in the Heckmann Diagram, at right)



Prep for test
LabVIEW programming HW#5


When importing data containing
descriptive headers,
see Section 8 of my
tutorial on
Igor Pro


Extra Credit:
Dynamics
for 1D potentials

(Mathematica)

11

Mar 14 Prepare
yourself

to discuss
de Podesta
Magnetism in Solids
for Dr. Jaggi
(whose own research
explores the richness
of magnetic materials)
Mar 16 Communal,
peer-to-peer
tutoring using
Online Conferencing
Tools
Mar 18 Prepare for QUIZ!!
(coming soon)
Write in your lab notebook:
What NEXT THING can you, in the lab, learn about a solid?
What could you measure
(and resolve)?
What systematics can you explore?
Do what might refine your understanding!



Riff on your brainstorms
in your lab notebook
Raid the
"penny jar"
wherever you're staying, and photograph a large, disordered, but close-packed monolayer!
Your next two HW sets asks you to apply the concepts of convolution and autocorrelation to the analysis of your images.
Piazza Note @114 may help

Pen&Paper HW #15
due
Mar 21
LabVIEW programming HW#6 The physics of p-n junctions, and of transistors,
is key to what's going on inside an "op-amp"
Here's a brief summary, reminding you of the considerations and
challenges associated with avalanche detectors



Projects to grapple with, in writing:

Solid-State Physics

12

Mar 21
Discuss dP Ch 8:

Quantifying Correlations:

pair correlation function g(r)
and
structure factor
S(k)

and

Mean-Field Approximations

Mar 23
Discuss dP thru Sect. 9.9

Many-body
Dynamics

Mar 25 Exam covering through de Podesta Ch 7

This acts as a broad
Mat'l Property Review

Prepare!

Attempt
Quiz #(N-1)
Read
Sect 4.a-4.c
The transition between diffusive transport and ballistic transport
is key to your experiments
on electrical transport in gold nanowires
,
and for developing technologies to help drivers see through fog,
(using the large plexiglass chamber in lab):
the first photons to arrive back at your detector
are the ones that scattered least. Those ballistic photons,
if there are enough of them, relative to the background,
then you can construct a clean image; if there aren't enough,
it becomes a more interesting problem.
HW #15: carry out measurements,
of the
(x, y) positions of the centroids of the
pennies in a monolayer:
Pen&Paper HW #15
due
Mar 21

Analyze your data on
a monolayer of pennies:
Pen&Paper HW #16 due
Mar 25

Pen&Paper HW #17 due
Mar 28

Write in your lab notebook:
By studying diffusion, what can you, in the lab, learn about a LIQUID?
What could you measure (and resolve)?
What systematics can you explore?
Catch up on LabVIEW programming Diffusion (assoc. w/ thermal conductance) differs from
mass transport (assoc. w/ convection)
(Discuss!)

13

Mar 28
You will discuss
dP Sect. 9.10-9.13

Then
POST:
What should we
go over
from dP
thru Ch 9 ?
Mar 30 Turn in your revised
Quiz #(N-1)!


Review Density of States derivations
(and more)
Apr 1
Discuss thru
dP Ch 10:

Ancient Greek philosophers
had a small number of
states of matter.
Modern science has
many hundreds.

(Welcome
to the new world)

Write in your lab notebook:
By using the applet at right,
what systematics can you explore?
Show the fluid controls!
You should know
Stokes drag on a sphere
isolated from other surfaces.
Know the Boltzmann factor.
Note the rulers and histograms!

You'll each need to systematically extract data!
Do what might refine your understanding!
Be thorough!

Lab isn't done until you've analyzed your extracted data!
Riff on your observations
in your lab notebook
Pen&Paper HW #18 due Mar 30:
(Turn in your revised Quiz #3!)



Pen&Paper HW #19 due Apr 1:
Share your lab notebook
(latest entries)
at the end of the day



Pen&Paper HW #20 due Apr 4:
In Overleaf, click the
upper-right button,
to “SHARE” your manuscript.
Grant me editing privileges
Catch up on LabVIEW programming:

Turn in
all six LabVIEW programming HW sets
Read my Intro to control, centroid tracking & analysis of
Micro-Particle Dynamics

(then try the applet below)
The applet above requires you give permissions to you computer to run JAVA,
but is key to thinking about the violence of the micro- and nano-worlds,
which dominate the dynamics of materials

14

Apr 4 Overleaf manuscript due

Discuss thru
dP Ch 10:
Entropy & Free Energy
Concepts
Apr 6
Discuss thru
dP Ch 10:
Phase Transition
Concepts
Apr 8
Discuss thru
dP Sect. 10.7 - 11.4:
Lindemann Hypothesis
Phase Diagrams,
Clausius-Clapeyron
Write in your lab notebook:
If all measurement is
an act of comparison,
can we know anything
in an absolute sense
?



de Podesta Ch 3
is the key
(Search the web for some
writing of interest on
the "metrological triangle")
Pen&Paper HW #21 due Apr 8:
Share, via Piazza,
a note
of particular interest on the
"metrological triangle"

Catch up on LabVIEW programming:

Turn in
all six LabVIEW programming HW sets
Locally, thermal fluctuations cause a material
to explore different possible configurations and,
like a drunk on a pedestal, as the available energy is lowered,
it is more likely to move to lower-energy configurations.
These tendencies are both included in the free energy.



A Thermodynamic Phase Transition describes a cusp
in the properties of a material, driven by a competition
between the energy of the system and the entropy
associated with thermal fluctuations

15

Apr 11 Overleaf manuscript due

Discuss Piazza Note@146
(Binary Phase Diagrams)

Apr 13
Quiz #N: It's about Temperature!
Explain (all) essentials
from T = 0 to above melting,
and on, to above boiling

Apr 15
Symmetry Breaking,
Order Parameters,
Scaling Laws,
Universality Classes, &
PhD-level
Theory of Phase Transitions

Work your way through
these links
Regarding phase transitions of mixtures:
How microstructure is formed
(and influences engineering properties)



Take notes
in your lab notebook
Share your lab notebook
(including entries on
phase diagrams)
Catch up on LabVIEW programming:

Turn in
all six LabVIEW programming HW sets
Basic Paradigm:
Consider the flow of information through a
Measurement Chain, starting with a transducer, and
generalizing the notion of how to design an amplifier, &
why amplification implies irreversibility

Here’s my take: dissipation of energy is always at the heart of the matter.
As energy spreads out among many reservoir degrees of freedom, the chances
of it taking a time-reversed path become more and more negligible.
Considering the available "trajectories" for energy dispersal,
it is as if I were in a maze of enormous complexity:
over short times I might be able to retrace a few steps,
but little chance of that persists over longer times,
and so time-reversed paths become an inaccessibly small fraction.

If you've thought about how IRREVERSIBILITY
arises in the Measurement of Quanta,
I'd love to help you to work on projects relating to
"The Arrow of Time in Quantum Measurement"

16

Apr 18 Have you read ALL
of de Podesta's text?
Apr 20 Discuss opportunities
Act upon
YOUR
Article of Interest Log
"Top 5"
Apr 25 Final Exam: 10:15AM - 12:15PM
Be sure to
turn in
your lab notebook
(including entries on phase diagrams)
Be sure to
turn in
your final version
of your paper on
stretching gold wires
** Class Discussion Page on Piazza **
Course Syllabus