Presented here are mathematical models (and supporting numerical methods) based on minimal surfaces that are appropriate for comparison with the three bicontinuous cubic surfactant liquid crystal structures studied by M c Grath and Tate. Tate have recently been successful in producing relatively large single-crystal experimental samples. The most promising avenue for conclusive evidence is theoretical and experimental X-ray diffraction integrated intensity comparisons, which require advanced theoretical models and difficult to obtain single-crystal experimental samples. The relationship has been widely studied, and despite the growing wealth of demonstrated similarities there has been no conclusive evidence to support this theory.
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December 11, 2002ĥ Abstract Bicontinuous cubic surfactant liquid crystals have been thought for several decades to have structures consisting of bilayers of surfactant molecules centred on periodic minimal surfaces.
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Signature: Date:ģ Mathematical Modelling of Surfactant Liquid Crystal X-ray Diffraction John Enlow a thesis submitted for the degree of Doctor of Philosophy at the University of Otago, Dunedin, New Zealand.
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I consent to this thesis being copied in part or in whole for i) a library ii) an individual at the discretion of the University of Otago.
CRYSTALDIFFRACT INDEX PEAK LABEL FULL
1 Library Declaration Form SAPERE-AUDE University of Otago Library Author s full name and year of birth: John Duncan Enlow, (for cataloguing purposes) 11 July 1973 Title of thesis: Mathematical Modelling of Surfactant Liquid Crystal X-ray Diffraction Degree: Doctor of Philosophy Department: Department of Mathematics and Statistics Permanent Address: 41 Mechanic St, North East Valley, Dunedin, NZ I agree that this thesis may be consulted for research and study purposes and that reasonable quotation may be made from it, provided that proper acknowledgement of its use is made.