The bending elasticity of the monoglyceride 1-monoolein (MO) in water has been measured in the inverse
hexagonal (HII) phase at 37 °C. At this temperature, fully hydrated MO is normally in an inverse bicontinuous
cubic phase based on Schwarz's D surface,
. The addition of either of the C23 chainlength hydrocarbons,
tricosane or 9-cis-tricosene, at mole fractions with respect to MO in excess of 0.05, induces a phase transition
into the HII phase. This transition is understood to occur because packing stresses in the hydrophobic
regions of the HII phase are reduced to levels where this phase is at a lower free energy than the
phase.
We have used X-ray diffraction on gravimetrically prepared samples and samples subjected to an osmotic
stress to determine the bending energy of MO in this phase. The evidence suggests that 9-cis-tricosene
can relieve almost all of the packing stress in the HII phase. In this case, we find that the spontaneous
radius of curvature at the pivotal surface, R
0, is −20.0 ± 0.3 Å, and the monolayer bending rigidity, κ, is
(1.2 ± 0.1) × 10-20 J. Comparing these energetics with those of the
phase indicates that the packing
stress for an excess water, HII phase at 37 °C in the absence of 9-cis-tricosene would constitute at least
50% of the total equilibrium free energy. With tricosane, the packing stress cannot be completely relieved
because tricosane melts at 47.6 °C in the bulk. The results from geometric measurements on this system
suggest that when the packing stress is not fully relieved in the HII phase, the polar/apolar interface is
deformed away from being cylindrical. Treating the interface as if it were cylindrical leads to a nonphysical
location of the pivotal surface that is in disagreement with all previous measurements, a 35% increase
in the magnitude of R
0, and a 4-fold increase in the calculated bending rigidity.