Experiments on the symmetry-breaking effect of orientation on a pair of connected cantilevers

2022 ◽  
Vol 164 ◽  
pp. 108236
Author(s):  
Lawrence N. Virgin ◽  
David B. Holland
Symmetry ◽  
2019 ◽  
Vol 11 (10) ◽  
pp. 1249 ◽  
Author(s):  
Bruns

Cyclodextrins (CDs) are cone-shaped molecular rings that have been widely employed in supramolecular/host–guest chemistry because of their low cost, high biocompatibility, stability, wide availability in multiple sizes, and their promiscuity for binding a range of molecular guests in water. Consequently, CD-based host–guest complexes are often employed as templates for the synthesis of mechanically bonded molecules (mechanomolecules) such as catenanes, rotaxanes, and polyrotaxanes in particular. The conical shape and cyclodirectionality of the CD “bead” gives rise to a symmetry-breaking effect when it is threaded onto a molecular “string”; even symmetrical guests are rendered asymmetric by the presence of an encircling CD host. This review focuses on the stereochemical implications of this symmetry-breaking effect in mechanomolecules, including orientational isomerism, mechanically planar chirality, and topological chirality, as well as how they support applications in regioselective and stereoselective chemical synthesis, the design of molecular machine prototypes, and the development of advanced materials.


10.14311/1404 ◽  
2011 ◽  
Vol 51 (4) ◽  
Author(s):  
A. T. Kotvytskiy ◽  
D. V. Kruchkov

We show that in the RN gravitation model, there is no dynamical symmetry breaking effect in the formalism of the Schwinger-Dyson equation (in flat background space-time). A general formula for the second variation of the gravitational action is obtained from the quantum corrections hμν (in arbitrary background metrics).


2019 ◽  
Author(s):  
Masahiro Yoshimoto ◽  
Junya Yoshida ◽  
Naohiro Muramoto ◽  
Kazuma Nakazawa

1990 ◽  
Vol 04 (17) ◽  
pp. 1071-1076 ◽  
Author(s):  
SIN-DOO LEE ◽  
J.S. PATEL

It is demonstrated that the symmetry-breaking of interfacial interactions between two surface layers in liquid crystals can produce a polar electro-optic effect. In a simple geometry with homogeneous boundary conditions, it is found that the magnitude of this polar effect is directly proportional to the difference in the anchoring strength between two aligning surface layers.


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