Systematic approach to bicontinuous cubic phases in ternary amphiphilic systems

• Verfasst von: Schwarz, Ulrich S. [VerfasserIn]
• Verfasst von: Gompper, Gerhard [VerfasserIn]
• Titel: Systematic approach to bicontinuous cubic phases in ternary amphiphilic systems
• Verf.angabe: U.S. Schwarz and G. Gompper
• Jahr: 1999
• Jahr des Originals: 1998
• Umfang: 14 S.
• Teil: volume:59
• Teil: year:1999
• Teil: number:5
• Teil: pages:5528-5541
• Teil: extent:14
• Fussnoten: Published online: 14 December 1998 ; Gesehen am 18.12.2017
• Titel Quelle: Enthalten in: Physical review / E
• Ort Quelle: College Park, Md. : APS, 1993
• Jahr Quelle: 1999
• Band/Heft Quelle: 59(1999), 5, Seite 5528-5541
• ISSN Quelle: 1550-2376
• DOI: doi:10.1103/PhysRevE.59.5528
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1566479541

Abstract

The Fourier approach and theories of space groups and color symmetries are used to systematically generate and compare bicontinuous cubic structures in the framework of a Ginzburg-Landau model for ternary amphiphilic systems. Both single and double structures are investigated; they correspond to systems with one or two monolayers in a unit cell, respectively. We show how and why single structures can be made to approach triply periodic minimal surfaces very closely, and give improved nodal approximations for G, D, I-WP, and P surfaces. We demonstrate that the relative stability of the single structures can be calculated from the geometrical properties of their interfaces only. The single gyroid G turns out to be the most stable bicontinuous cubic phase since it has the smallest porosity. The representations are used to calculate distributions of the Gaussian curvature and 2H-nuclear-magnetic-resonance band shapes for C(P), C(D), S, C(Y), and F-RD surfaces.