1988
DOI: 10.1021/cr00083a011
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Minimal surfaces and structures: from inorganic and metal crystals to cell membranes and biopolymers

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Cited by 315 publications
(254 citation statements)
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“…But the most interesting structures observed in our work are triply periodic continuous minimal surfaces, which can be seen when the porous particle obtained in methanol/toluene solutions are fractured. The morphology is analogous to those theoretically proposed by Schwarz 25 and Schoen 26 with total mean curvature close to zero 27 . The structures are known as Schwarz P and Schoen Gyroid, as shown in Fig.…”
Section: Preparation and Characterization Of Nanoporous Particlessupporting
confidence: 84%
“…But the most interesting structures observed in our work are triply periodic continuous minimal surfaces, which can be seen when the porous particle obtained in methanol/toluene solutions are fractured. The morphology is analogous to those theoretically proposed by Schwarz 25 and Schoen 26 with total mean curvature close to zero 27 . The structures are known as Schwarz P and Schoen Gyroid, as shown in Fig.…”
Section: Preparation and Characterization Of Nanoporous Particlessupporting
confidence: 84%
“…In general, the difference of the chemical potential of the phospholipid membrane in the H II phase (µ HII ) and in the bilayer liquid crystalline (L α ) phase (µ bil ), µ, can be expressed as a sum of the curvature elastic energy ( µ curv ) and the acyl chain packing energy ( µ ch ) [25,28]. The curvature energy can be expressed as [29,30] …”
Section: Discussionmentioning
confidence: 99%
“…Equation (2) shows that µ curv is always negative ( µ curv < 0), and thereby, is an important factor stabilizing the H II phase. On the other hand, in the H II phase, acyl chains of lipids have to extend to different lengths to fill the interstitial hydrocarbon region, which decreases the entropy of chains and thereby increases the free energy of the membrane [28]. Therefore, this packing energy of the acyl chains unstabilizes the H II phase, and thus, µ ch is always positive ( µ ch > 0).…”
Section: Discussionmentioning
confidence: 99%
“…A more complete understanding the phase behavior of these complex materials could lead to a new paradigm in the design of novel materials. Of great scientific and technological interest is a particular kind of mesophase based in minimal surfaces, known as the ordered bicontinuous phases, 10 where the minority component forms two triply-periodic interweaving networks that never intersect (see Fig. 1), making them ideal candidates as precursor of: porous materials, 11,12 regular three-dimensional networks, and highconductivity nanocomposites.…”
Section: Introductionmentioning
confidence: 99%