Construction of Sierpinski Triangles up to the Fifth Order
Construction of Sierpinski Triangles up to the Fifth Order
复制标题
谢尔宾斯基三角形直至五阶的构建
DOI：
10.1021/jacs.7b05720
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发表时间：
2017-10-04
影响因子：
15
通讯作者：
Wang, Yongfeng
中科院分区：
文献类型：
--
作者：
Li, Chao;Zhang, Xue;Wang, Yongfeng
自相似分形结构在科学、数学和美学中具有重要意义。近年来，人们在表面上构造了一系列无分子缺陷的Sierpifiski三角形分形。然而，由于动力学生长的限制，分形的最高阶数仅为4。本文采用模板法和共组装法相结合的方法，在真空中成功制备了横向长度为0.05 μ m的完整的五阶Sierpifiski三角形。Fe原子、4，4”-二氰基-1，1 '：3'，1”-三联苯和1，3-双（4-吡啶基）苯分子被用来在重构的Au（100）-（hex）表面上构建分形。新策略可用于构造各种高阶Sierpifiski三角形。
Self-similar fractal structures are of fundamental importance in science, mathematics, and aesthetics. A series of molecular defect-free Sierpifiski triangle fractals have been constructed on surfaces recently. However, the highest order of the fractals is only 4 because of the limitation of kinetic growth. Here complete fifth-order Sierpifiski triangles with a lateral length of 0.05 itm were successfully prepared in ultrahigh vacuum by a combination of templating and coassembly methods. Fe atoms, 4,4"-dicyano-1,1':3',1"-terphenyl, and 1,3-bis(4-pyridyl)benzene molecules were used to build fractals on the reconstructed Au(100)-(hex) surface. The new strategy may be applied to construct various Sierpifiski triangles of higher orders.