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A rhombohedral family of minimal surfaces as a pathway between the P and D cubic mesophases

Schröder, G.E.; Ramsden, S.J.; Fogden, A.; Hyde, S.T. - In: Physica A: Statistical Mechanics and its Applications 339 (2004) 1, pp. 137-144

A medial surface (MS) analysis of the rhombohedral infinite periodic minimal surface family rPD is presented. The rPD family of bicontinuous surfaces has been suggested as a pathway for transitions between its two cubic members, the P and the D surface, in mesophases in liquid-crystalline...

Persistent link: https://www.econbiz.de/10011057439

Bicontinuous geometries and molecular self-assembly: comparison of local curvature and global packing variations in genus-three cubic, tetragonal and rhombohedral surfaces

Schröder-Turk, G. E.; Fogden, A.; Hyde, S. T. - In: The European Physical Journal B - Condensed Matter and … 54 (2006) 4, pp. 509-524

Balanced infinite periodic minimal surface families that contain the cubic Gyroid (G), Diamond (D) and Primitive (P) surfaces are studied in terms of their global packing and local curvature properties. These properties are central to understanding the formation of mesophases in amphiphile and...

Persistent link: https://www.econbiz.de/10009281269

Local v/a variations as a measure of structural packing frustration in bicontinuous mesophases, and geometric arguments for an alternating <InlineEquation ID="Equ1"> <EquationSource Format="TEX">${\rm Im}\overline{{\mathsf3}}{\rm m}$</EquationSource> </InlineEquation> (I-WP) phase in block-copolymers with polydispersity

Schröder-Turk, G. E.; Fogden, A.; Hyde, S. T. - In: The European Physical Journal B - Condensed Matter and … 59 (2007) 1, pp. 115-126

This article explores global geometric features of bicontinuous space-partitions and their relevance to self-assembly of block-copolymers. Using a robust definition of `local channel radius', based on the concept of a medial surface [Schröder et al., Eur. Phys. J. B <Emphasis Type="Bold">35, 551 (2003)], we...</emphasis>

Persistent link: https://www.econbiz.de/10009281426