奈米世界的構築藝術－數學串珠在沸石結構與四配位骨架結構的應用

本文介紹串珠模型在四配位的骨架結構上的應用，特別是鋁矽酸鹽沸石結構的模型建構。沸石結構可視為：由正四面體的初級構造單元，以橋氧結合成各種次級構造單元，再堆砌成三度空間中的各種構築。沸石不僅對於化學工業極為重要，其本身的結構更是千變萬化，就像是奈米空間的奇幻建築，千姿百態，給人無限的想像。運用數學串珠到沸石結構，相當於視沸石為氧離子的硬球殼堆積模型，矽正離子與氧負離子的吸引力使得它們聚在一起，而直徑較大的氧離子之硬殼堆積，決定了其立體的幾何。數學串珠用珠子代表氧離子，而細線代表矽正離子所產生的吸引，真實地通過巨觀的堆積，將沸石在奈米世界的三度空間排列，變為富有藝術感的立體建築結構。

關鍵字

分子模型；矽酸鹽；沸石；石墨烯；芙類分子；配位化合物

並列摘要

In this article, we describe a systematic approach to the construction of physical models of zeolites and related tetravalent frameworks with the mathematical beading technique. The porous crystalline frameworks of zeolitesare periodic tessellations of secondary building units, which are cage-like structures consisting of cornered-shared tetrahedral SiO_4^(4+) and AlO_4^(5+). Zeolites are not only of paramount importance in chemical industry as heterogeneous catalysts, they also possess an extremely rich variety of three-dimensional structures. Each of them can be viewed as an aesthetically pleasing nanoscale architecture. Mathematical beading can be used to build structurally faithful physical models of zeolites. The resulting physical model represents an open packing model of the corresponding zeolite framework. Only the negatively charged oxygen anions are shown in the bead model, the cation located in the tetrahedral hole in the center of four oxygen anions are not explicitly included though. Through suitably use of macroscopic objects such as beads and nylon lines, these nanoscale architectures are turned into scientific sculptures with both educational and artistic values.

並列關鍵字

Molecular models ； Zeolite ； Graphene ； Fullerenes ； Coordination complexes

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奈米世界的構築藝術－數學串珠在沸石結構與四配位骨架結構的應用

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