The behavior of model nonionic amphiphilic molecules undergoing aggregation
is studied using single-chain mean-field theory. The amphiphilic molecules
are of the type HxTy where the H (head) monomers like the solvent molecule
s and the T (tail) monomers are solvophobic. In combination with the mass a
ction model, the theory was used to study the critical micellar concentrati
on, cmc, and the micellar size distribution as a function of head and tail
lengths, architecture of the molecule, and temperature. The predictions of
the theory are compared with the molecular dynamic results of Smit et al. (
Langmuir 1993, 9, 9). Very good agreement is found between the theoretical
predictions and the simulations. The theory is shown to predict quantitativ
ely the two different free energy scales responsible for micellization and
for micellar size distributions in model systems. The cmc is found to be on
ly slightly dependent on the headgroup molecular architecture. However, the
micellar size distribution is found to be quite different when comparing l
inear and branched headgroups. The structure of the micelle is found, in ag
reement with earlier theoretical predictions, to have a compact, almost sol
vent free, hydrophobic core and a wide interface region that includes the h
eadgroups. The hydrophobic region is found to be more compact and larger fo
r longer hydrophobic tails. The hydrophobic region is found to be more comp
act as the temperature decreases. The molecular organization in the micelle
s is not very sensitive to changes in the architecture of the headgroups.