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A rhombohedral family of minimal surfaces as a pathway between the P and D cubic mesophases
YKI – Ytkemiska institutet.
2004 (engelsk)Inngår i: Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, E-ISSN 1873-2119, Vol. 339, s. 137-144Artikkel i tidsskrift (Fagfellevurdert)
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

sted, utgiver, år, opplag, sider
2004. Vol. 339, s. 137-144
Emneord [en]
eriodic minimal surfaces, self-assembly, lyotropic phases
HSV kategori
Identifikatorer
URN: urn:nbn:se:ri:diva-27377OAI: oai:DiVA.org:ri-27377DiVA, id: diva2:1054381
Merknad
A1803Tilgjengelig fra: 2016-12-08 Laget: 2016-12-08 Sist oppdatert: 2017-11-29bibliografisk kontrollert

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