scholarly journals On a combinatorial curvature for surfaces with inversive distance circle packing metrics

2018 ◽  
Vol 275 (3) ◽  
pp. 523-558 ◽  
Author(s):  
Huabin Ge ◽  
Xu Xu
2018 ◽  
Author(s):  
Erik Leonhardt ◽  
Jeff M. Van Raden ◽  
David Miller ◽  
Lev N. Zakharov ◽  
Benjamin Aleman ◽  
...  

Extended carbon nanostructures, such as carbon nanotubes (CNTs), exhibit remarkable properties but are difficult to synthesize uniformly. Herein, we present a new class of carbon nanomaterials constructed via the bottom-up self-assembly of cylindrical, atomically-precise small molecules. Guided by supramolecular design principles and circle packing theory, we have designed and synthesized a fluorinated nanohoop that, in the solid-state, self-assembles into nanotube-like arrays with channel diameters of precisely 1.63 nm. A mild solution-casting technique is then used to construct vertical “forests” of these arrays on a highly-ordered pyrolytic graphite (HOPG) surface through epitaxial growth. Furthermore, we show that a basic property of nanohoops, fluorescence, is readily transferred to the bulk phase, implying that the properties of these materials can be directly altered via precise functionalization of their nanohoop building blocks. The strategy presented is expected to have broader applications in the development of new graphitic nanomaterials with π-rich cavities reminiscent of CNTs.


2018 ◽  
Vol 30 (7) ◽  
pp. 1251
Author(s):  
Lijuan Yu ◽  
Juan Cao ◽  
Zhonggui Chen
Keyword(s):  

2013 ◽  
Vol 46 (1) ◽  
pp. 105-118 ◽  
Author(s):  
R. Dorado ◽  
B. Pivec ◽  
E. Torres-Jimenez

2018 ◽  
Vol 284 (2) ◽  
pp. 527-555 ◽  
Author(s):  
Ambros Gleixner ◽  
Stephen J. Maher ◽  
Benjamin Müller ◽  
João Pedro Pedroso
Keyword(s):  

Author(s):  
Flávio K. Miyazawa ◽  
Lehilton L. C. Pedrosa ◽  
Rafael C. S. Schouery ◽  
Maxim Sviridenko ◽  
Yoshiko Wakabayashi

2019 ◽  
Vol 24 (3) ◽  
pp. 298-311
Author(s):  
Ruslan Yu. Pepa ◽  
Theodore Yu. Popelensky

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