X = Self-assembly
Self-assembly is the formation of structures via the interaction of the constituents.
Most of the time*, self-assembly refers to weakly-interacting components that are able to diffuse and explore configurations until they (may) reach the state of thermodynamic equilibrium.
* Not always, you can have non-equilibrium self-assembly, or modular robots that act deterministically, etc.
What? Colloidal spheres (a few microns in size)
How? Depletion attraction. Microparticles surrounded by nanoparticles. When microparticles come close, nanoparticles don't fit in between and entropy then favours microparticles to stick together so that nanoparticles have more free volume to explore
Clusters form that are free energy minima.
Free energy proportional to number of connections.
Therefore minima = maximum number of connections.
BUT, there are many structures with the same number of connections.
Enumerating them turns out to be surprisingly hard. Need computers' help.
Rotational and vibrational entropy, as well as kinetic effects disfavours symmetry!
Ard Louis has some ideas on a different mechanism for why often symmetry is favoured in Nature. See tomorrow at 2pm
Yes.
Use DNA coating.
But there are limits
i.e. shrink by 1000
What? DNA
How? Watson-Crick base pairing
Also variant called DNA bricks, doesn't need base single strand
Beyond Equilibrium -> Non-equilibrium self-assembly. Active matter, pattern formation
Hierarchical self-assembly -> Build small building blocks, then put them together, and so on
Direct assembly:
Watch Eric Drexler's presentation on the Oxford Martin School website for more.