Measurement of the Gaussian curvature of the surfactant film in an isometric bicontinuous one-phase microemulsion.

摘要: Small-angle x-ray and neutron-scattering (SAXS SANS) measurements are made of a three-component isometric microemulsion, ${\mathrm{C}}_{10}$${\mathrm{E}}_{4}$-${\mathrm{D}}_{2}$O-octane, in the one-phase channel around hydrophile-lipophile balance temperature system. A previous SANS contrast variation experiment indicated that microstructure this microemulsion is bicontinuous water oil, with surfactant film having zero mean curvature. We analyze SAXS data taken bulk terms modified Berk's random wave model. choose spectral function which an inverse sixth-order polynomial, three parameters $a$, $b$, $c$, as introduced by Lee Chen earlier. This three-parameter then used conjunction Cahn's clipping scheme to obtain Debye correlation for microemulsion. The analysis gives excellent agreement intensity absolute scale. use so obtained calculate Gaussian curvature film. also show three-dimensional-reconstructed morphology