Chiral tether-mediated stabilization and helix-sense control of complementary metallo-double helices.

Chiral tether-mediated stabilization and helix-sense control of complementary metallo-double helices† †Electronic supplementary information (ESI) available: Experimental details and additional spectroscopic data. See DOI: 10.1039/c4sc02275k Click here for additional data file.

Controllability of dynamic double helices: quantitative analysis of the inversion of a screw-sense preference upon complexation.

We describe a quantitative analysis of the complexation-induced inversion of a screw-sense preference based on a conformationally dynamic double-helix structure in a macrocycle. The macrocycle is composed of two twisting units (terephthalamide), which are spaced by two strands (1,3-bis(phenylethynyl)benzene), and is designed to generate a double-helix structure through twisting about a C2 axis ...

Generalization of general helices and slant helices

In this work, we use the formal definition of $k$-slant helix cite{ali2} to obtain the intrinsic equations as well as the position vector for emph{slant-slant helices} which a generalization of emph{general helices} and emph{slant helices}. Also, we present some characterizations theorems for $k$-slant helices and derived, in general form, the intrinsic equations for such curves. Thereafter, fr...

Controllability of dynamic double helices: quantitative analysis of the inversion of a screw-sense preference upon complexation† †Electronic supplementary information (ESI) available: NMR, UV and CD spectroscopic data, energy-minimized structures and experimental details of new compound preparation. CCDC 1404043. For ESI and crystallographic data in CIF or other electronic format see DOI: 10.1039/c5sc02614h Click here for additional data file. Click here for additional data file.

We describe a quantitative analysis of the complexation-induced inversion of a screw-sense preference based on a conformationally dynamic double-helix structure in a macrocycle. The macrocycle is composed of two twisting units (terephthalamide), which are spaced by two strands (1,3-bis(phenylethynyl)benzene), and is designed to generate a double-helix structure through twisting about a C2 axis ...

Generalized Helices and Singular Points

In this paper, we define X-slant helix in Euclidean 3-space and we obtain helix, slant helix, clad and g-clad helix as special case of the X-slant helix. Then we study Darboux, tangential darboux developable surfaces and their singular points. Especially we show that the striction lines of these surfaces are singular locus of the surfaces.