School of Electronics Engineering and Computer Science, Peking University, No. 5, Yiheyuan Road, Haidian District, Beijing, 100871, China.
Chemphyschem. 2019 Sep 17;20(18):2262-2270. doi: 10.1002/cphc.201900258. Epub 2019 Jul 10.
Fractal structures are of fundamental importance in science, engineering, mathematics, and aesthetics. Construction of molecular fractals on surfaces can help to understand the formation mechanism of fractals and a series of achievements have been acquired in the preparation of molecular fractals. This review focuses on Sierpiński triangles (STs), representatives of various prototypical fractals, on surfaces. They are investigated by Monte Carlo simulations and ultra-high vacuum scanning tunneling microscopy. STs are bonded through halogen bonds, hydrogen bonds, metal-organic coordination bonds and covalent bonds. The coexistence of and competition between fractals and crystals are realized for a hydrogen-bonded system. Electronic properties of two types of STs are summarized.
分形结构在科学、工程、数学和美学中具有重要意义。在表面上构建分子分形有助于理解分形的形成机制，并在制备分子分形方面取得了一系列成果。本综述重点介绍了表面上各种原型分形的 Sierpiński 三角形（ST）。通过蒙特卡罗模拟和超高真空扫描隧道显微镜对其进行了研究。ST 通过卤键、氢键、金属有机配位键和共价键连接。对于氢键体系，实现了分形和晶体的共存和竞争。总结了两种类型的 ST 的电子性质。
