Zig-zag structures in silver dichromate precipitate

Débora Carvalho, Stefan C. Müller, Torsten Rahne, K. Tsuji, A. Polezhaev
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Abstract

Precipitation patterns are commonly concentric rings forming in a Petri dish or parallel bands appearing in a test tube (Liesegang phenomenon). The rings frequently consist of a number of convex segments that are separated from each other by spaces devoid of precipitate resulting in small gaps (dislocations). Along these gaps, the so-called zig-zag structures can form, which connect one side of a gap with its opposite side. We observe that the occurrence of zig-zags requires a minimum thickness of the reactive layer (≥ 0.8 mm). This fact together with microscopic evidence indicates their three-dimensional character. One finds that at the very beginning of the precipitation reaction a curling process starts in the corresponding contour lines. These observations suggest structures of a helicoid with the axis perpendicular to the plane of the reaction–diffusion front to pass through the layer. Zig-zags are not parallel to the reaction plane, i.e., they are not formed periodically, but evolve continuously as a rotating spiral wave. Thus, their topology is closely related to helices in a test tube.
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重铬酸银沉淀中的锯齿状结构
降水模式通常是在培养皿中形成的同心圆或在试管中出现的平行带(列色冈现象)。这些环通常由许多凸段组成,这些凸段由缺乏沉淀的空间相互隔开,导致小间隙(位错)。沿着这些缝隙,可以形成所谓的锯齿状结构,将缝隙的一侧与另一侧连接起来。我们观察到锯齿状的出现需要最小的反应层厚度(≥0.8 mm)。这一事实与显微证据一起表明了它们的三维特征。人们发现,在沉淀反应开始时,在相应的等高线上开始了卷曲过程。这些观察结果表明,螺旋面结构的轴线垂直于平面的反应扩散前线,以通过层。锯齿形不平行于反应面,即它们不是周期性形成的,而是作为旋转的螺旋波连续演化的。因此,它们的拓扑结构与试管中的螺旋密切相关。
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