Summer of Math Exposition

Presented by 3Blue1Brown 3blue1brown

Ferroelectrics: The greatest material you might not've heard of

Audience:

Tags: physicsengineeringtaylor-seriesfunctionsmaterials-sciencelandau-devonshire-theoryhysteresisfree-energycrystallographyelectricmicroscopyscanning-probe-microscopyphase

Ferroelectrics are a type of material that are everywhere in our lives---and as we rely more and more on AI, ferroelectrics will become all the more prominent as a backbone for low-energy electronics and other devices. In this video, we introduce ferroelectrics to a general audience. After going through examples and general properties of ferroelectrics, we derive Landau-Devonshire theory by Taylor expansions. We then show how this mathematical theory explains many of the most promising properties of ferroelectrics. We then explain how these properties lead to a vast array of past, present, and future applications, and we end our video by describing some current research in ferroelectrics. This video assumes some high-school level understanding of mathematics, and is intended to be understood by this audience. However, undergraduate or graduate students in physics, materials science, and chemistry may find the topic in question relevant and of interest to their studies.


Analytics

7 Overall score*
24 Rank
18 Votes
8 Comments

Comments

7.5

This video does a great job laying out the motivation and mechanism of ferroelectrics in an understandable way. Well done!

5

I haven’t heard about the topic before. I found it interesting. But it was more like a lecture. For my taste, there was to little visuals and animations along the way.

7

I really enjoyed this presentation of ferroelectric materials. It is extremely accessible and includes intuitive explanations of quite a wide variety of topics (physics, mathematics, materials science, etc.) without requiring any prior background. The takeaways of future technological enhancements and discussion of ongoing research in the field are interesting.

6

I love your entushiasm about your work, it is inspiring. I am glad I learned something new from your video, because, although I had heard about ferroelectrics, I didn’t know their main properties.

I would have liked to know if parameters a, b, c are determined through experiments, if they are different for every ferroelectric material, and also if they can be derived theoretically. Maybe you could have focused more on these aspects and abbreviated some of the applications.

7

Hey, great video! I think your personality as a presenter keeps things very engaging, and the topic is interesting: I particularly like getting to see the ion structure to get a feel for why the relative minimums in energy other than the 0 polarization case should exist, it’s always nice to have some feeling for why those things are true from first principles. (i.e. Coulombic attractions) I also remember helping a friend study for a power engineering class and having the concept of magnetic hysteresis hit me like a sack of bricks with no real explanation, before being fairly unimportant to the work we were doing, so seeing an actual explanation of what’s up with that is somewhat cathartic.

I do think it’s notable that this video distinctly doesn’t do much in terms of developing the math tools, it’s much more about the phenomenon of ferroelectricity with the math just being used as a way to communicate a model, and that model is also very empirical rather than coming from mathematical principles. Which is entirely reasonable, that seems like the appropriate way to do a video about this subject, but I do think the spirit of it being a math contest does push me to score a bit lower than I would in a science video contest. I hope you don’t find that too frustrating: I think overall you’ve done quite well, and I do intend to look into subscribing. (at a time when I’m not logged into the wrong Google account)

Take care!

7.5

Nice video! Very friendly and approachable. The graphics were pleasant and helpful.

7

I can feel your enthusiasm and it engages me! The apple drop made me rewatch!

Background screens are distracting. So is your chair when it moves.

Images are good, but I’m watching the video for them so they could take up more of the screen.

Consider condensing or splitting the video.

4

You are a great teacher and seemingly very passionate about the subject, which is great. However, the mathematical content felt shallow