FIG. 10 Constant mean curvature gyroid structure devised by Grosse-Brauckmann (From Ref. 44.) for which the thinner channel system occupies 0.1875 of the total volume. According to Eq. (53), ∆P can attain a small constant value equal to 2H γ provided

doi:10.1201/9780203021262-172

Chapter

FIG. 10 Constant mean curvature gyroid structure devised by Grosse-Brauckmann (From Ref. 44.) for which the thinner channel system occupies 0.1875 of the total volume. According to Eq. (53), ∆P can attain a small constant value equal to 2H γ provided

Chapter

ABSTRACT

Winsor III microemulsions as well as single-phase microemulsions in the middle of the microemulsion channel. Still, the role of the Gaussian curvature bending constant in this context remains to be fully clarified. Moreover, it seems likely that higher-order Gaussian curvature terms have to be invoked to account for the stability of these structures (cf. Refs. 43 and 45).