Electronic confining effects in Sierpiński triangle fractals

Wang, Hao; Zhang, Xue; Jiang, Zhuoling; Wang, Yongfeng; Hou, Shimin

doi:10.1103/physrevb.97.115451

Cited by 15 publications

(17 citation statements)

References 48 publications

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“…Because it possesses a reduced Hausdorff dimension of 1.58, such a pattern is attractive to build nanoscale structures with unique properties. 26,27 In principle, the combination of three-fold and 120º V-shaped nodes is the basic requirement for creating Sierpiński triangle selfassembly. [28][29][30] Molecular based Sierpiński triangles have been experimentally achieved on single-crystalline surfaces 31 via supramolecular structures such as halogen bonding, 29 hydrogen bonding, 32 and metal−organic coordination [33][34][35][36][37] or in the form of covalently-bonded polymers.…”

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confidence: 99%

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Covalent organic frameworks from a monomer with reduced symmetry: polymorphism and Sierpiński triangles

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“…Our results suggest that the confinement of reactions on a crystalline substrate may be an efficient way to select the desired polymorph. In future investigations host-guest chemistry for ST 41,[44][45][46] and the elucidation of the electronic properties 26,27 in such fractal confinements may reveal intriguing phenomena.…”

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confidence: 99%

Covalent organic frameworks from a monomer with reduced symmetry: polymorphism and Sierpiński triangles

et al. 2019

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“…More interestingly, STs, because of its unique configuration, provide an alternative type of quantum corrals in comparison with 0D, 1D, and 2D resonators previously reported, which greatly promotes the research of quantum confinement effect. In order to study surface electronic states in triangular cavities, we used 120° V‐shaped H3PH molecules and Fe atoms to fabricate defect‐free STs up to fourth order on Ag(111) …”

Section: Electronic Properties In a Fractal Geometrymentioning

confidence: 99%

Construction and Properties of Sierpiński Triangular Fractals on Surfaces

Wang

Xue

et al. 2019

ChemPhysChem

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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 inves-tigated 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 hydrogenbonded system. Electronic properties of two types of STs are summarized.

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“…Surface-assisted metal-organic nanostructures have been investigated extensively because of their structural stability and potential applications in catalysis, sensor systems, gas storage and electron confinement [1][2][3][4][5] . Metal-organic nanostructures are built on single-crystalline surfaces using externally deposited metals [6][7][8][9][10] or native surface atoms [11][12][13] .…”

Section: Introductionmentioning

confidence: 99%

Hierarchical Self-assembly of Ag-coordinated Motifs on Ag(111)

李若宁¹,

张雪²,

薛娜³

et al. 2020

Acta Physico Chimica Sinica

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Metal-organic nanostructures on surfaces have attracted considerable attention owing to their structural stability and potential applications. In metal-organic nanostructures, metal atoms are derived from the externally deposited metals or native surface atoms. Externally deposited metals are of rich diversity and depend on the targeted nanostructures. However, native surface atoms are restricted to single-crystalline metal surfaces of gold, silver, and copper, which are usually used in surface science. Metal-organic nanostructures mostly consist of Au-or Cu-coordinated motifs, while only a few consist of surface Ag atoms. Further investigation into the molecule-metal interactions is beneficial for the accurately controlled fabrication of the desired nanostructure. As for the building blocks, organic molecules coordinate with native surface atoms by M-C, M-N, and M-O bonds. The reactions of terminal alkynes or Ullmann couplings could realize the formation of C-M-C linkages. Cu and Au atoms could coordinate with molecules with terminal cyano or pyridyl groups to form N-M-N bonds. In addition, surface Ag adatoms could coordinate with phthalocyanine through Ag-N bonds. However, a comprehensive study of M-O coordination bonds is still lacking. Thus, we used hydroxyl-terminated molecules to coordinate with Ag adatoms to form metal-organic coordination nanostructures and study the O-Ag linkages. In this case, we successfully built and investigated a series of ordered structures by depositing 4,4'-dihydroxy-1,1':3',1''-terphenyl (H3PH) molecules on the Ag(111) surface by scanning tunneling microscopy. At room temperature, a close-packed ordered structure was formed by H3PH molecules through cyclic hydrogen bonds, and the repeat unit of such nanostructures contained eight H3PH molecules. Upon increasing the annealing temperature, the formation of O-Ag bond led to a change in the self-assembly pattern. When the annealing temperature was increased to 330 K, a new ordered nanostructure occurred due to the combination of O-Ag coordination and hydrogen bonds. Upon further increasing the annealing temperature to 420 K, a honeycomb structure and coexisting two-fold coordination chains appeared, which only consisted of O-Ag-O linkages. Density functional theory calculations were carried out to analyze the metal-molecule reaction pathways and energy barriers of the O-Ag-O bonds. The energy barrier of the O-Ag bond is 1.41 eV, which is less than that of the O-Ag-O linkage calculated to be 1.85 eV. The low energy barrier of the O-Ag bond and large coordination energy of the O-Ag-O linkage can be attributed to the formation of the hierarchical metal-organic nanostructure.The results obtained herein provide an effective approach for designing and building two-dimensional hierarchical structures with organic small molecules and metal adatoms on single-crystalline metal surfaces.

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Electronic confining effects in Sierpiński triangle fractals

Cited by 15 publications

References 48 publications

Covalent organic frameworks from a monomer with reduced symmetry: polymorphism and Sierpiński triangles

Covalent organic frameworks from a monomer with reduced symmetry: polymorphism and Sierpiński triangles

Construction and Properties of Sierpiński Triangular Fractals on Surfaces

Hierarchical Self-assembly of Ag-coordinated Motifs on Ag(111)

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