Stressed Fibonacci spiral patterns of definite chirality

Stressed Fibonacci spiral patterns of definite chirality
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DOI:
10.1063/1.2728578
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发表时间:
2007-04-16
影响因子:
4
通讯作者:
Cao, Zexian
Cao, Zexian
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Li, Chaorong;Ji, Ailing;Cao, Zexian

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斐波那契螺旋在自然界中无处不在,但这种图案的自发组装在实验室中却很少实现。通过操纵银核/二氧化硅壳微结构上的应力,作者获得了一系列具有确定手性的斐波那契螺旋(从3×5到13×21),作为一种最小弹性能构型。斐波那契螺旋独特地出现在圆锥形支撑物上——球形容器会导致三角形镶嵌,而倾斜的容器会引入不规则性。这些结果为在曲面上大规模制造图案化结构展示了一条有效途径;它们也可能为叶序图案的形成提供一种补充机制。(C)2007美国物理学会
Fibonacci spirals are ubiquitous in nature, but the spontaneous assembly of such patterns has rarely been realized in laboratory. By manipulating the stress on Ag core/SiO2 shell microstructures, the authors obtained a series of Fibonacci spirals (3x5 to 13x21) of definite chirality as a least elastic energy configuration. The Fibonacci spirals occur uniquely on conical supports-spherical receptacles result in triangular tessellations, and slanted receptacles introduce irregularities. These results demonstrate an effective path for the mass fabrication of patterned structures on curved surfaces; they may also provide a complementary mechanism for the formation of phyllotactic patterns. (C) 2007 American Institute of Physics.