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Triply twistit mobius space
Triply twistit mobius space




We review the different models and a physical route (pulsed laser deposition) based on a well controlled annealing of the native 2D/3D amorphous films.

triply twistit mobius space

Despite the expanded efforts to understand the structure, it remains little known. Glass-like carbon (GLC) is a complex structure with astonishing properties: isotropic sp2 structure, low density and chemical robustness. Our experimental results and theoretical simulations may advance the prospect of creating chiral topologically complex structures via supramolecular approach. Therefore, M- and P-helical Möbius strips could be formed from L- and D-amphiphiles, respectively. Spectroscopic and morphological analysis indicates that the helicity of the Möbius strips and nano-toroids stems from the molecular chirality of glutamate molecules. Electron microscopic techniques could clearly identify the formation of Möbius strips when twist numbers on the toroidal fibers are odd ones. Through bending and cyclization of twisted nanofibers self-assembled from chiral glutamate amphiphiles, supramolecular nano-toroids with various twist numbers were obtained. Here we describe a supramolecular strategy of accessing Möbius strip, a fascinating topological object featured with only a single edge and single side.

triply twistit mobius space

Subsequent photocyclization yields a separable mixture of rigid diastereomeric tris-helicene macrocycles of the above topologies.ĭifferent from molecular level topology, the development of supramolecular topology has been limited due to a lack of reliable synthetic methods. The key step of the synthesis of both Möbius compounds is a Perkin condensation of complementary bifunctional bismaleates leading to a flexible macrocycle containing alternating benzene and biphenyl fragments. The diatropic current is counterbalanced by a paratropic current in the σ system, resulting in no net manifestation of macrocyclic aromaticity. The triple twisted molecule exhibits a strong diatropic ring current in the outer periphery, even though the π system includes 4n electrons. They are unique in their pronounced band shape and conformational robustness as they are made up of three fully kata-condensed helicene fragments. We now present a single and a triple twisted annulene with fully conjugated peripheries. However, orbital overlap was still severely reduced within the flexible building blocks. Recently, a topological strategy was devised to project the “twist” into “writhe”, thus reducing the strain. 540°) that retain a full cyclic conjugation path have been elusive, mainly because of the high strain and loss of orbital overlap. Annulenes with significantly higher twist (e.g. Filip Topić and Academy Professor Kari Rissanen from the University of Jyväskylä, together with Professor Yoshio Okamoto (Osaka, Japan) and Jun Shen (Harbin, China), have succeeded in preparing and characterizing a triple twisted annulene - a more complex Möbius molecule which has three twists but only one surface.Ĭurrently these chiral one-sided compounds are merely scientifically intriguing topological objects and far from practical application, but they exhibit a high potential in future applications in molecular electronics and optoelectronics.A number of singly (180°) twisted, largely single-stranded and thus conformationally rather fragile, Möbius molecules have been synthesized within the last 15 years, which are aromatic with 4n electrons, thus violating the Hückel rule. Gaston Schaller and Professor Rainer Herges from the University of Kiel and M.Sc. Up to now, only the simplest Möbius molecules have been prepared. However, it has turned out to be extremely difficult to twist molecules to a Möbius surface that has only one side. A triple twisted Möbius molecule is more difficult to visualize, but its graphical representation resembles the well-known recycling logo, this time with three twisted corners. It can be made easily by twisting one end of a paper strip by 180 degrees and then joining the two ends. An everyday analogue of a single twisted Möbius molecule is a Möbius strip.






Triply twistit mobius space