Solutions of disk-shaped molecules that self-assemble into linear aggregate
s pose an interesting question as to whether or not it might sometimes be a
ppropriate to regard the solute as an amphiphile and, if so, how could the
strength of this amphiphilic behavior be quantified or measured. This paper
proposes an answer by mapping linear self-assembly onto the isodesmic chem
ical equilibria of an exactly solvable one-dimensional model. In particular
, the concentration dependence of the aggregation number is seen to be domi
nated by one of two different regimes, depending on the presence and streng
th of a solvophobic solute core. The amphiphilic regime is associated with
a large value of the Henry Law constant for solvating the two ends of a lin
ear aggregate. Here, the aggregation is driven by solvent "pressure" and th
e aggregation number rises rapidly with increasing concentration to quickly
saturate at its high concentration value. In the opposite regime, the line
ar self-assembly is driven by solute-solute attraction and the aggregation
number displays the well-known square-root-concentration form. This analysi
s defines protocols for identifying and classifying discotic amphiphiles, f
rom experimental data on any aspect of a linear aggregation distribution. (
C) 2000 American Institute of Physics. [S0021-9606(00)51138-6].