Towards enumeration of crystalline frameworks: the 2D hyperbolic approach

被引：80

作者：

Hyde, S. T. ^{[1
]}

Friedrichs, O. Delgado

Ramsden, S. J.

Robins, V.

机构：

[1] Australian Natl Univ, Res Sch Phys Sci, Dept Appl Math, Canberra, ACT 0200, Australia

[2] Arizona State Univ, Dept Chem & Biochem, Tempe, AZ 85287 USA

来源：

SOLID STATE SCIENCES | 2006年 / 8卷 / 07期

关键词：

hyperbolic tilings; minimal surfaces; networks; frameworks; reticular chemistry; symmetry groups;

D O I：

10.1016/j.solidstatesciences.2006.04.001

中图分类号：

O61 [无机化学];

学科分类号：

070301 ; 081704 ;

摘要：

Crystalline frameworks in 3D Euclidean space can be constructed by projecting tilings of 2D hyperbolic space onto three-periodic minimal surfaces, giving surface reticulations. The technique involves Delaney-Dress tiling theory, group theory, differential and non-Euclidean geometry. Preliminary results of this approach, found at http://epinet.anu.edu.au, are discussed and compared with other approaches. Crown Copyright (c) 2006 Published by Elsevier SAS. All rights reserved.

引用

页码：740 / 752

页数：13

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