M. Gradzielski et al., EXPERIMENTAL INVESTIGATION OF THE STRUCTURE OF NONIONIC MICROEMULSIONS AND THEIR RELATION TO THE BENDING ELASTICITY OF THE AMPHIPHILIC FILM, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(4), 1996, pp. 3900-3919
Oil-in-water microemulsions of nonionic surfactants of type C(n)E(j) w
ith various hydrocarbons have been characterized by means of small-ang
le-neutron-scattering (SANS) (carried out at the Laboratoire Leon Bril
louin, CEA-CNRS, Saclay, France) and interfacial tension measurements.
The obtained structural parameters (radius R and polydispersity index
p) of this droplet system and the interfacial tension gamma were rela
ted to the bending elasticity of the amphiphilic film that can be desc
ribed by the spontaneous curvature and two elastic constants, bending
modulus kappa and saddle-splay modulus <(kappa)over bar>. The validity
of our method to extract p from the shape analysis of the scattering
curves has been confirmed by an independent contrast variation experim
ent. Both p and gamma lead independently for all systems to very simil
ar values for the elastic moduli. Their sum 2 kappa+<(kappa)over bar>
is proportional to the chain length of the surfactant but independent
of our employed hydrocarbons (hexane-->decane). Finally, we also perfo
rmed SANS experiments fora dilution series, where from the concentrati
on dependence of R and p we are able to deduce independently this sum
of the elastic constants that agrees well with the values obtained bef
ore. The elastic theory of the amphiphilic film allows for a self-cons
istent interpretation of structural and interfacial tension data and a
lso to reliably predict one of these quantities from the knowledge of
the other ones.