π§² Molecular Self-Assembly β Micelles & Bilayers
Watch amphiphilic molecules spontaneously organise into micelles and bilayers. Control concentration to cross the critical micelle concentration (CMC) and see vesicle formation driven by the hydrophobic effect.
0.50Γ
p = 0.25
kT = 1.0
Monomers β below CMC
At low concentration molecules remain as individual amphiphiles. The hydrophobic tails are exposed to water, raising free energy. No stable aggregates form.
The Physics
Self-assembly is driven by minimising free energy: ΞG_transfer β βkTΒ·ln(CMCβ»ΒΉ). Below CMC, monomers dominate. Above CMC, aggregation number N_agg determines shape via packing parameter p = v/(aβΒ·l_c): p < 1/3 β spherical micelle; 1/3 < p < 1/2 β cylindrical; p β 1 β bilayer/vesicle.