CHEMICAL TESSELLATIONS - RESULTS OF BINARY AND TERTIARY REACTIONS BETWEEN METAL IONS AND FERRICYANIDE OR FERROCYANIDE LOADED GELS
CHEMICAL TESSELLATIONS - RESULTS OF BINARY AND TERTIARY REACTIONS BETWEEN METAL IONS AND FERRICYANIDE OR FERROCYANIDE LOADED GELS
复制标题
化学镶嵌 - 金属离子与铁氰化物或载有铁氰化物的凝胶之间的二元和三元反应的结果
DOI：
10.1142/s0218127410027064
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发表时间：
2012
影响因子：
2.2
通讯作者：
DE LACY COSTELLO B
中科院分区：
文献类型：
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作者：
DE LACY COSTELLO B
< jats: p>在我们最近的信[德莱西科斯特洛等人，2009]我们描述了在金属盐滴和铁氰化物或亚铁氰化物负载的凝胶之间的简单化学反应中构造的平面的自发复杂镶嵌的形成。在本文中，我们提供了更多的二元镶嵌的例子，并扩展我们的分析，通过三元混合物的反应物构造镶嵌。我们还提供了一个分类系统，该系统描述了基于金属盐与基材的反应性以及初级产物的交叉反应性的镶嵌。这导致两种反应物具有相等反应性的平衡镶嵌或一种反应物与凝胶具有较低反应性的不平衡镶嵌。产品也可以是部分或完全交叉反应的，这给出了高度复杂的镶嵌。< jats: p>棋盘格是由有色细胞（对应于不同的金属铁氰化物或亚铁氰化物）分离的低沉淀物浓度的平分线。由这些反应构造的镶嵌构成广义Voronoi图。在某些二元或三元反应物的扩散/反应速率不同的组合的情况下，然后构建乘法加权晶体生长Voronoi图。当一种反应物与凝胶具有有限的反应性或没有反应性（或产物是交叉反应性的）时，则源自反应性金属离子的前沿与源自部分反应性金属离子的前沿交叉。前线可以湮灭在形成第二个Voronoi图有关的反应液滴的相对位置。因此，两个或两个以上的广义或加权Voronoi图可以并行计算这些简单的化学系统。< jats: p>然而，当这些反应被用来计算一个加性加权Voronoi图（反应是在不同的时间间隔启动）构建的图表不符合理论计算。我们使用这些反应的失败来构建一个附加加权Voronoi图，以证明一个机制的底物竞争的平分线形成。< jats: p>这些镶嵌是一类重要的图案形成反应，除了是科学演示的重要资源之外，还可用于对自然图案形成现象进行建模。
< jats: p> In our recent letter [de Lacy Costello et al., 2009] we described the formation of spontaneous complex tessellations of the plane constructed in simple chemical reactions between drops of metal salts and ferricyanide or ferrocyanide loaded gels. In this paper, we provide more examples of binary tessellations and extend our analysis to tessellations constructed via tertiary mixtures of reactants. We also provide a classification system which describes the tessellation based on the reactivity of the metal salt with the substrate and also the cross-reactivity of the primary products. This results in balanced tessellations where both reactants have equal reactivity or unbalanced tessellations where one reactant has a lower reactivity with the gel. The products can also be partially or fully cross reactive which gives a highly complex tessellation.< jats: p> The tessellations are made up of colored cells (corresponding to different metal ferricyanides or ferrocyanides) separated by bisectors of low precipitate concentration. The tessellations constructed by these reactions constitute generalized Voronoi diagrams. In the case of certain binary or tertiary combinations of reactants where the diffusion/reaction rates differ, then multiplicatively weighted crystal growth Voronoi diagrams are constructed. Where one reactant has limited or no reactivity with the gel (or the products are cross reactive) then the fronts originating from the reactive metal ions cross the fronts originating from the partially reactive metal ions. The fronts can annihilate in the formation of a second Voronoi diagram relating to the relative positions of the reactive drops. Therefore, two or more generalised or weighted Voronoi diagrams can be calculated in parallel by these simple chemical systems.< jats: p> However when these reactions were used to calculate an additively weighted Voronoi diagram (the reaction was initiated at different time intervals) the diagram constructed did not correspond to the theoretical calculation. We use the failure of these reactions to construct an additively weighted Voronoi diagram to prove a mechanism of substrate competition for bisector formation.< jats: p> These tessellations are an important class of pattern forming reactions and are useful in modeling natural pattern forming phenomena in addition to being a great resource for scientific demonstrations.