Gents...
You're making me feel as curmudgeonly as my avatar....
but this needs to be said: In the interest of good science...
Star Trek is fiction.
Transparent Aluminum is fiction. The "complex molecule formula" was created by a graphics artist.
and the Mac Plus shown in the movie could NEVER do what Scotty showed.
Heck, my G5 now can't.....
type...type...type...voila! A complete description of the atomic arrangement of a new material + spinning graphics! LOL
BTW: I loved the entire scene. Even if it scientifically is ludicrous...
Talking about grain size relative to transparency is not entirely accurate.
Think more along the lines of photon interaction with the electrons of a material:
Possibilities:
1) An electron absorbs the energy of the photon and sends it back out the way it came in (reflection)
2) An electron absorbs the energy of the photon and transforms it (usually into heat)
3) An electron absorbs the energy of the photon and stores it (fluorescence or phosphorescence)
4) An electron cannot absorb the energy of the photon, ie the photon continues on its path (transmitted)
Sub-atomic interaction is a relatively minor factor.
More important is the ordering of atoms.
Gases are mostly transparent due to the dispersed and random nature of the atoms positions.
Same (but less so) for liquids.
Solids are highly ordered (think of a stack of tightly packed ping-pong balls). Metals are predominately crystalline.
Aluminum, for example, is a cubic structure (actually face centered cubic)
A Grain = a region with the same crystallographic orientation.
Even if the grain size were reduced to ~ one unit cell as shown above: It would still be opaque to visible light.
There are amorphous metals (now only made in small quantities, usually by rapid spray forming),
but they also are opaque.
In the image below is a simply representation of a crystalline metal (if Al, each dot is a unit cell of ~ 4 atoms)
Now this is an amorphous metal:
As you can see, light cannot pass without interacting. The only way to make it transparent is to make it very, very thin.
Silica (window) glass has a similar amorphous structure, but it's much more widely spaced.
Al alloys simply don't like being that widely spaced.
Whatever Scotty is going on about...it ain't an Al alloy. It can't be.
Let's just say "transparent Aluminum" is a trademark name (like Kleenex, lol) and leave it at that...