Electron band structure in germanium, my ass (2001)

tux3 | 889 points

One of my Core Memories when it comes to science, science education, and education in general was in my high school physics class, where we had to do an experiment to determine the gravitational acceleration of Earth. This was done via the following mechanism: Roll a ball off of a standard classroom table. Use a 1990s wristwatch's stopwatch mechanism to start the clock when the ball rolls of the table. Stop the stopwatch when the ball hits the floor.

Anyone who has ever had a wristwatch of similar tech should know how hard it is to get anything like precision out of those things. It's a millimeter sized button with a millimeter depth of press and could easily need half a second of jabbing at it to get it to trigger. It's for measuring your mile times in minutes, not fractions of a second fall times.

Naturally, our data was total, utter crap. Any sensible analysis would have error bars that, if you treat the problem linearly, would have put 0 and negative numbers within our error bars. I dutifully crunched the numbers and determined that the gravitational constant was something like 6.8m/s^2 and turned it in.

Naturally, I got a failing grade, because that's not particularly close, and no matter how many times you are solemnly assured otherwise, you are never graded on whether you did your best and honestly report what you observe. From grade school on, you are graded on whether or not the grading authority likes the results you got. You might hope that there comes some point in your career where that stops being the case, but as near as I can tell, it literally never does. Right on up to professorships, this is how science really works.

The lesson is taught early and often. It often sort of baffles me when other people are baffled at how often this happens in science, because it more-or-less always happens. Science proceeds despite this, not because of it.

(But jerf, my teacher... Yes, you had a wonderful teacher who didn't only give you an A for the equivalent but called you out in class for your honesty and I dunno, flunked everyone who claimed they got the supposed "correct" answer to three significant digits because that was impossible. There are a few shining lights in the field and I would never dream of denying that. Now tell me how that idealism worked for you going forward the next several years.)

jerf | 2 days ago

I read this in 1999 when entering university. It was so refreshing hearing a student provide a glimpse into the boots-on-the-ground reality of undergrad life at these world-renowned institution.

The closing sentence is also prescient; the author pivoted to CS, ultimately completing his doctorate at the University of Wisconsin at Madison

https://pages.cs.wisc.edu/~kovar/

roadbuster | 2 days ago

I TAd a semiconductor fabrication lab class 20-odd years ago. Mostly it was about making sure the students had the absolute fear of God put into them about working with HF, but there was also a bit at the end where you actually got to do a voltage sweep and characterize your transistor. If in fact you had made a transistor rather than a needlessly complicated resistor. The other TAs and I passed this paper around and thought it was just hilarious.

sevensor | 2 days ago

> (...) the apparent legitimacy is enhanced by the fact that I used a complicated computer program to make the fit. I understand this is the same process by which the top quark was discovered.

This is both hilarious and more common than you might think. In my field of expertise (ultrafast condensed matter physics), lots of noisy garbage was rationalized through "curve-fitting", without presenting the (I assume horrifyingly skewed) residuals, or any other goodness-of-fit test.

cosmic_quanta | 2 days ago

I took some effort to change my research interest from computer vision to DFT calculation in quantum chemistry.

Honestly, I'm kind of frustrated now, too many work is close-source in this area. The research paper will tell you everything except how to reproduce this work in minimal effort, it's like they are hiding something.

They also using a `Origin` to plot and MS Word to write paper, which is also non-free licensed, and made them harder to collaborate and reproduce.

HiPHInch | 2 days ago

Fun fact, he did end up switching to CS [1]:

> Ph.D. Computer Science, November 2004 > University of Wisconsin, Madison

> M.S. Computer Science, May 2001 University of Wisconsin, Madison

> B.S. Physics, June 1999 Stanford University

[1] https://pages.cs.wisc.edu/~kovar/cv.html

EDIT:

Went on to work at IL&M for 5 years and has been at Google for 14 [2]. My guy did indeed end up rolling in cash haha

[2]: https://www.linkedin.com/in/lucas-kovar-185a3531/

aylmao | a day ago

It takes a special kind of mind to appreciate this short post, not as fiction, but as truth and also as a jab at the physics sciences in general.

janandonly | 2 days ago

Not that it is important, just spotted that the page's HTTP headers report impressive

    Last-Modified: Sun, 26 May 2002 22:33:04 GMT
(And the HTML code structure matches that era perfectly.)
myfonj | 2 days ago

While the post is amusing, somebody needs to say it: Band structure and the theory of solids is some of the most beautiful physics out there. The fact that it has completely altered society as we know it is merely secondary. :)

jpmattia | 2 days ago

For those who are actually interested in this field, the proper way to measure this would be with a four point probe. You do need a constant current source and a high-impedence voltage meter, though.

Also, you don't need to solder wires to the sample. But if you want to measure the hall resistance of a thin film of a semiconductor, you can solder a glob of indium on to four corners of a 1 cm x 1 cm wafer, put it in a magnetic field, and then do basically the same measurement as four point probe, except not inline.

smaddox | a day ago

Looks like the article is 404 for some reason.

https://web.archive.org/web/20250311184956/https://pages.cs....

Summary:

``` The author sets out to investigate the temperature-dependent resistivity of germanium, a classic topic in solid-state physics. However, they quickly become disillusioned with both the theory (which they find overly abstract and nonsensical) and the practice (plagued by faulty equipment, uncooperative materials, and lack of support). Their experimental setup involves a precariously mounted crystal, unreliable tools, and a leaking thermos of liquid nitrogen.

Despite their intense effort, the data collected fails to demonstrate the expected exponential relationship. In frustration, the author draws a curve "through the noise" hoping it will look convincing enough to pass. Ultimately, they conclude the project—and their choice to study physics—was a total waste of time and regret not choosing computer science instead, where at least they'd be making money, if still unlucky in love. ```

joquarky | 10 hours ago

Very much my undergrad lab education experience...

I currently write my master's thesis in experimental quantum computing - the platform is similar to what Google published in December, just with less qubits. A lot of it just comes down to how much money the lab can spend to get the best equipment and how good your fabrication is.

You can have the best minds in experimental physics, but without the right equipment the grad students are just busy trying to make things work somehow and waste months if not years away.

chrysander | 2 days ago

Oh, BTW, the whole "Friction is directly proportional to the normal force": My Ass!

I could never reproduce it well in the lab, because it's really not true. Take a heavy cube the shape of a book. Orient it so that the spine is on the floor. It's a lot more friction to move it in one direction than in the transverse direction. Yet the normal force is the same. Any kid knows this, and I feel dumb it never occurred to me till someone pointed it out to me.

BeetleB | 2 days ago

I spent a good minute looking at the exponential in graph, ignoring all the actual data points, thinking to myself that the experiment does show an exponential relation. Where's the lie?

Guess that's the power pictures have over words.

abhink | 2 days ago

Anyone who did undergrad lab work around 2000ish might throw in some comment about lab view software and the number of times it crashes and loses all your data

russdill | 2 days ago

> Sorry! The URL you requested was not found on our server.

404 error now, perhaps some admins took it down due to traffic?

The user's directory is still linked from the listing [0] though.

[0] https://pages.cs.wisc.edu/

Terr_ | 12 hours ago

The main lesson I was taught by undergrad chemistry and statistics is that the point of science is to lie and massage your terrible incorrect results until they look realistic, claim any remaining error was due to the shitty inprecice equipment you're saddeled with, and turn it in, because you don't have enough time or money to try again.

promiseofbeans | a day ago

Archive link, since the original seems to have disappeared completely: https://archive.is/1s9Jd

Paul-Craft | 14 hours ago

hahaa, I love it! That's right there is engineering and true work and dedication. Can hear the frustration and it's 100% warranted.

I wish universities were better equipped for what you pay. Where is all that money going anyways? Leaking like free electrons?

ALLTaken | 2 days ago

> I should've declared CS. I still wouldn't have any women, but at least I'd be rolling in cash.

Should we tell him?

titizali | 2 days ago
[deleted]
| 12 hours ago

A thing of beauty is a joy forever - John Keats

Honestly, physics is so full of pretension and hero worship. Even among seasoned lecturers there's a tendency to mythologise the progress of the art by making it sound like all the great results we rely on were birthed fully-formed by the giants who kindly lend us their divine shoulders.

Ironically there's a kind of Gell-Mann amnesia here, working scientists know that must of your work will consist of stumbling down blind alleys in the dark and looking for needles under lampposts that aren't even near the haystack.

I'm reminded of an anecdote which I can't currently source, but as I remember it Hilbert was trying to derive the Einstein Field Equations by a variational method. He correctly took the Ricci curvature R as the Lagrangian, but then neglected to multiply by the tensor density, sqrt(-g). This is kind of a rookie mistake, but made by one of the history's greatest mathematical physicists.

Anyway I love this article, it's a breath of fresh air and rightly beloved by undergrads.

(edit: for a counterpoint to this work please see another classic: "The physics is the life" -http://i.imgur.com/eQuqp.png )

Y_Y | 2 days ago

But that so-called best fit line is not an exponential. Exponential functions are convex, that line is concave.

I’m afraid you’ll have to repeat the experiment.

credit_guy | 2 days ago

I've seen this reposted many times, many places, and I always wonder ... maybe this person was just not very good at soldering. I had professors order me to do things they didn't know how to do themselves many times. Working with zero competency and support is the norm in academia. Soldering is a bit of an art. I'm a natural, soldering, brazing, and welding are really, really easy for me, but some people never get it and never improve. I did a four-month welding course and there were some people who were no better at the end than they were at the beginning.

saertyaetawer | 13 hours ago

If anyone is wondering what the author is up to these days, apparently he's a staff engineer at Google according to his LinkedIn.

cynewulf | 2 days ago

For me, it wasn't the subpar equipment, it was the subpar instruction. I will never forget trying to explain to the graduate TA leading my circuits 1 lab, that, no, you can not use a multimeter to measure impedance of an element in a circuit while the circuit is live, and that that is dumb for multiple layers of reasons.

He got pissed off at me for questioning his authority, I told the class "Uh, guys, why don't we all wait until [GTA's name] and I talk this out to proceeded, unless ya'll want to be replacing fuses in the multimeters" that REALLY pissed him off.

He was yelling. He told me I needed to talk to him in the hallway. I informed him that if I was wrong, this would be a great lesson for the class, and that, no, I will not being going somewhere to be yelled at in private, anything he had to say could be said there. That really did it. He yelled more. I was laughing at his tantrum. He took me up to the lab lead (not the prof overseeing the class - not 100% sure of how this person fit into the the hierarchy), intending to get me kicked out of the class for disrespect. He goes on to this guy about how I'm the worst, and I just stand there, smiling.

Finally, lab lead guy has gotten tired of the second hand yelling, and asks for my side - He wasn't oblivious to the fact that I'm sitting there fiddling with my 12AX7 necklace while leaning on my longboard I burnt with high voltage. I oozed the hardware hacker ethos very visibly - and I respond simply "He told the class to measure impedance, with an ohmmeter, while the circuit was live"

It was at that moment I learned it was this lab lead's role to repair equipment (or at least replace fuses) when things like this happen.

Watching that GTA have to tell the class "I was wrong" after he was yelling at me in front of everyone had to be the best.

---

Fast forward a year, and I got to deal with even more mind numbing stupidity: https://opguides.info/posts/whydidipay/#8---senior-spring-20

vegadw | 2 days ago

I was excited at first because I thought he had found Electron band structure both in germanium, and his ass, but I was woefully mistaken.

bryanrasmussen | a day ago

Seriously I wish more science writing resembled this

skrebbel | 2 days ago

I felt that, I felt that deeply

One of the most devious analytic chemistry labs I had was the one where the spectroscope was ancient, its tray was less transparent and more milky white, and the fluid to analyze was some sort of expired flavored water. The attempt vs result chart looked exactly like that figure.

A really eye-opening experience in many ways.

krige | a day ago

>Do you have any idea how hard it is to solder wires to germanium?

I've just soldered SOT-723 onto SOT-23 adapter board, I can solder anything to anything

dvh | 2 days ago

my ass analyzed here https://youtu.be/1P0Z1yq-2FQ

vagy | 12 hours ago

A classic I will never not upvote.

Maybe the frustrations of undergrad lab work would be easier to swallow if they were better situated in historical context. This kind of result should give the experimenter some sympathy for the folks who originally made these discoveries, with less knowledge and worse equipment. But I don't think it's usually explained that way.

jpm_sd | 2 days ago

Try faking your data next time, dude! You will be famous for some time. Do you even know how hard it is to make data points that seem natural but follow some clear pattern you want it to follow? I spent a good half of a day looking for that proper inverse formula.

aramattamara | a day ago

Looks like he didn't measure the temp correctly, who knows what the real temp was inside the crystal.

EVa5I7bHFq9mnYK | a day ago

This reminds me of how the Fahrenheit scale came about.

For all its flaws, Fahrenheit was based on some good ideas and firmly grounded in what you could easily measure in the 1720s. A brine solution and body heat are two things you can measure without risking burning or freezing the observer. Even the gradations were intentional: in the original scale, the reference temperatures mapped to 32 and 96, and since those are 64 units apart, you could mark the rest of the thermometer with a bit of string and some halving geometry. Marking a Celsius scale from 0 to 100 accurately? Hope you have a good pair of calipers to divide a range into five evenly-spaced divisions...

Nowadays, we have machines capable of doing proper calibration of such mundane temperature ranges to far higher accuracy than the needle or alcohol-mix can even show, but back then, when scientists had to craft their own thermometers? Ease of manufacture mattered a lot.

shadowgovt | 2 days ago

Can we agree that this is one of the greatest abstracts of all time?

tomcam | a day ago
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| 2 days ago

so funny. i've read a few chapters of Discworld books that made me titter a lot less

wigster | 2 days ago

Nice chart. Can't rule out the old null hypothesis eh!

blatantly | a day ago

maybe related?

Cracks in the Nuclear Model: Surprising Evidence for Structure

https://www.youtube.com/watch?v=qynSxOS_HFc

est | 2 days ago

Have anyone tried to recreate this experiment since 2001?

stackedinserter | 15 hours ago

A+, recommending for accelerated PhD program.

NoMoreNicksLeft | 2 days ago

ROTFL at the abstract

aledalgrande | a day ago

Soldering to germanium? Personally I wouldn't have even tried such a method - rather pin the crystal between two spung gold contacts.

nonrandomstring | 20 hours ago

Nobel prize, quick!

huqedato | a day ago

"Sorry! The URL you requested was not found on our server."

aquarin | 14 hours ago

> Do you have any idea how hard it is to solder wires to germanium?

Has science gone too far? :D

rvba | a day ago

I'll repeat the same comment I made to the same article when it posted here about a year ago:

As an odd coincidence, I did the same experiment on a shoestring budget with substandard equipment also. I too used a fancy computer algorithm to get a best fit. Except that I managed to get four significant decimal places in the result — an improvement over the (also outdated) textbook.

The author of the angry rant had a life-defining experience of overwhelming frustration.

The same scenario resulted in a positive life-defining experience for me

It’s funny how unpredictably things pan out even in identical circumstances…

jiggawatts | a day ago

Brilliant man.

fithisux | 2 days ago

This should be a reminder that more than you would expect, "the results didn't replicate" is really a statement of how difficult science is to do well.

mrguyorama | 2 days ago

Before we had silicon based semiconductord we had germanium based semiconductors. I wonder if we can build chips using germanium. If yes, how would they compare with silicon made chips?

DeathArrow | a day ago
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| a day ago

[dead]

dudeinjapan | a day ago

[dead]

curtisszmania | 2 days ago

[flagged]

mock-possum | a day ago

I also regret studying physics, lol, although in my case I thought fiddling with algebra would be the best job ever, until I got bored of using my mind as a compiler.

giacomoforte | 2 days ago