Cornell researchers see atoms at record resolution
news.cornell.edu
news.cornell.edu
https://i.imgur.com/g7A24w6.png
This is the coolest image I've seen in a long while.
Imagine it like tiling a floor. In the simplest case, all tiles are the same and the unit cell is a "primitive cell". The way they are layed out gives the lattice vectors.
Now if you are using two differently styled tiles (e.g. a checkerboard pattern of black and white tiles), then the unit cell is now a "conventional cell" and consists of these two tiles. The lattice vectors now point accordingly from one tile of a type to the next one of the same type (e.g. white->white). You need two vectors that do not point in exactly the same direction to be able to cover the floor in two dimensions. Remember, you have to be able to cover the plane by moving the unit cell by integer multiples of the lattice vectors if you did it correctly.
Edit: this might be it:
https://i.imgur.com/75ltMjb.png
If you shift this pattern by any integer multiple of these vectors, the pattern that it comes to lay upon will look the same as the one that was shifted.
Here are some additional links.
The "History" section of this page was interesting: https://en.wikipedia.org/wiki/Molecular_orbital_theory It apparently took most of 30s and 40s for those theories to mature, and the ideas of the then new quantum mechanics to be applied to molecules.
:-\
I wonder how we will define "atom" in another 100 years.
It doesn't matter whether the CPU does the operation by magic or by some physical process involving the passage of time; that's not part of the concept. The operation is not divisible; it isn't possible for part of it to occur.
Whether such an item is mathematically possible is left as an exercise for the reader ;o) (just an idea I had).
There is a super fun ted(?) talk, that I can’t seem to find, with a guy constructing and cutting Möbius strips, and variations on that theme. Pretty unintuitive what a little twist can do!
...and I seemingly still cannot find it. A google will reveal many such videos, I think, but no time to search them out.
Well, both numberphile and Tadashi Tokieda have lots of good stuff, I should say!
Interesting, we use multi-patterning to produce silicon already to get the light down to scale for process nodes - this is kinda the reverse and do wonder if some of this research may have applications in silicon production.
https://www.researchgate.net/publication/275748074_Refinemen...
Edit: I found the context in this paper really helpful / interesting: https://dx.doi.org/10.1063/1.2396920