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A rhombohedral family of minimal surfaces as a pathway between the P and D cubic mesophases
YKI – Ytkemiska institutet.
2004 (English)In: Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, E-ISSN 1873-2119, Vol. 339, 137-144 p.Article in journal (Refereed)
Abstract [en]

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 self-assembly. The MS is a representation of a labyrinth as a centered 2D skeleton. By providing a definition of a pointwise channel diameter, the MS allows for an analysis of homogeneity of such surfaces including chain stretching frustration. For the rPD surface, variations of this channel diameter are locally minimal for the D surface, and a horizontal inflection point for the P surface. This may have implications for the phase stability of the corresponding liquid-crystalline mesophases. The MS can be further reduced to a 1D line graph. For the rPD surface, this graph contains curved edges and cannot be deduced from symmetry considerations alone

Place, publisher, year, edition, pages
2004. Vol. 339, 137-144 p.
Keyword [en]
eriodic minimal surfaces, self-assembly, lyotropic phases
National Category
Natural Sciences
Identifiers
URN: urn:nbn:se:ri:diva-27377OAI: oai:DiVA.org:ri-27377DiVA: diva2:1054381
Note
A1803Available from: 2016-12-08 Created: 2016-12-08Bibliographically approved

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