PARAMETRIZATION OF TRIPLY PERIODIC MINIMAL-SURFACES .3. GENERAL ALGORITHM AND SPECIFIC EXAMPLES FOR THE IRREGULAR CLASS

被引:13
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作者
FOGDEN, A
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D O I
10.1107/S0108767392010456
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
The construction algorithm of the first two papers of this series [Fogden & Hyde (1992). Acta Cryst. A48, 442-451, 575-591] is extended to a general treatment of triply periodic minimal surfaces (containing as a special case the 'regular' class analysed previously). A detailed outline of the parametrization procedure for an arbitrary 'irregular' class surface is provided and verified via a systematic rederivation of the C(P) surface described by Neovius [Bestimmung Zweier Speciellen Periodische Minimalflachen (1883), Helsinki: Frenckel]. The method is further employed in parametrizing various empirically generated surfaces.
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页码:409 / 421
页数:13
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