Fundamental studies have improved understanding of molecular-level
properties and behavior in surfactant-oil-water (SOW) systems at equilibrium
and under nonequilibrium conditions. However, confusion persists regarding
the terms “microemulsion” and “curvature”
in these systems. Microemulsion refers to a single-phase system that
does not contain distinct oil or water droplets but at least four
different structures with globular domains of nanometer size and sometimes
arbitrary shape. The significance of “curvature” in
such systems is unclear. At high surfactant concentrations (typically
30 wt % or more), a single phase zone has been identified in which
complex molecular arrangements may result in light scattering. As
surfactant concentration decreases, the single phase is referred to
as a bicontinuous microemulsion, known as the middle phase in a Winsor
III triphasic system. Its structure has been described as involving
simple or multiple surfactant films surrounding more or less elongated
excess oil and water phase globules. In cases where the system separates
into two or three phases, known as Winsor I or II systems, one of
the phases, containing most of the surfactant, is also confusedly
referred to as the microemulsion. In this surfactant-rich phase, the
only curved objects are micellar size structures that are soluble
in the system and have no real interface but rather exchange surfactant
molecules with the external liquid phase at an ultrafast pace. The
use of the term “curvature” in the context of these
complex microemulsion systems is confusing, particularly when applied
to merged nanometer-size globular or percolating domains. In this
work, we discuss the terms “microemulsion” and “curvature”,
and the most simple four-dimensional spatiotemporal model is proposed
concerning SOW equilibrated systems near the optimum formulation.
This model explains the motion of surfactant molecules due to Brownian
movement, which is a quick and arbitrary thermal fluctuation, and
limited to a short distance. The resulting observation and behavior
will be an average in time and in space, leading to a permanent change
in the local microcurvature of the aggregate, thus changing the average
from micelle-like to inverse micelle-like order over an extremely
short time. The term “microcurvature” is used to explain
the small variations of globule size and indicates a close-to-zero
mean curvature of the surfactant-containing film surface shape.