a molecular knot is a mechanically interlocked molecular architecture that is analogous to a macroscopic knot. Naturally-forming molecular knots are...

In topology, knot theory is the study of mathematical knots. While inspired by knots which appear in daily life, such as those in shoelaces and rope,...

in stereochemistry and quantum chemistry. Another important area is molecular knot theory and circuit topology that describe the topology of folded linear...

Mechanically-interlocked molecular architectures in Supramolecular chemistry comprises a.o., Catenane and Rotaxane molecules, and Molecular knot Interlock fabric...

Mechanically-interlocked molecular architectures Catenane Rotaxanes Molecular knot Molecular Borromean rings ^ New Molecular Topologies Beyond Catenanes...

synthesis of an 819 knot, the most complex molecular knot made to date, and a molecular endless knot (the smallest Chinese knot). In 2013 the Leigh group...

Examples of mechanically interlocked molecular architectures include catenanes, rotaxanes, molecular knots, and molecular Borromean rings. Work in this area...

classified as a link, and is not a true knot according to the definitions of mathematical knot theory. The Solomon's knot consists of two closed loops, which...

the "Ballantine rings". The first work of knot theory to include the Borromean rings was a catalog of knots and links compiled in 1876 by Peter Tait....

the knots discovered in proteins are deep trefoil (31) knots. Figure eight knots (41), three-twist knots (52), Stevedore knots (61) and Septoil knot (71)...

related to other mechanically interlocked molecular architectures, such as rotaxanes, molecular knots or molecular Borromean rings. Recently the terminology...

knots. Thus, circuit topology serves as a complementary approach to knot theory. Circuit topology has implications for folding kinetics and molecular...

unique family of cyclic and knotted proteins that defines the cyclic cystine knot structural motif". Journal of Molecular Biology. 294 (5): 1327–36. doi:10...

slippery, stiff ultra-high-molecular-weight polyethylene (UHMWPE) and aramid cored ropes. Tying the triple fisherman's knot is nearly identical to the...

The red knot or just knot (Calidris canutus) is a medium-sized shorebird which breeds in tundra and the Arctic Cordillera in the far north of Canada,...

morphogenesis and regulates the growth of tooth cusps. The enamel knot produces a range of molecular signals from all the major signaling families, such as Fibroblast...

access to complex assemblies such as covalent organic frameworks, molecular knots, polymers, and novel macrocycles. Not to be confused with dynamic combinatorial...

Examples of mechanically interlocked molecular architectures include catenanes, rotaxanes, molecular knots, molecular Borromean rings and ravels. In dynamic...

is molecular topology, specifically mechanically-interlocked molecular architectures. He has described syntheses of catenanes and molecular knots based...

Of note, 85% of elasticity in natural rubber is due to knot-like structures within its molecular chain. An intramolecular cyclization reaction is where...

groups appear in topological quantum field theories Knot groups are used to study molecular knots The word problem for a finitely generated group is the...

gram-scale laboratory activity for undergraduate organic chemistry courses. Molecular knot Topology (chemistry) Dynamic covalent chemistry Chichak, K. S.; Cantrill...

bioactive and could be useful for drug delivery. Cryptand Rotaxane Catenane Molecular knot Effective molarity Macrocyclic stereocontrol Macrocyclic ligand Hamilton-Miller...

topology Topological index Theoretical chemistry Molecular geometry Molecular graph Molecular knot Molecular Borromean rings Brown, David; Topology and Chemistry;...

planetary nebulae, especially those with a molecular envelope like the Ring nebula and the Dumbbell Nebula. These knots are radially symmetric (from the CS)...

Ultra-high-molecular-weight polyethylene (UHMWPE, UHMW) is a subset of the thermoplastic polyethylene. Also known as high-modulus polyethylene (HMPE)...

Rotaxanes. Catenane Mechanically interlocked molecular architecture Molecular Borromean rings Molecular knots Polyrotaxane Bravo, José A.; Raymo, Françisco...

significant stimulus in knot theory would arrive later with Sir William Thomson (Lord Kelvin) and his vortex theory of the atom. Different knots are better at different...

ideal, a subset of a ring Prime knot, a knot that cannot be written as the knot sum of two non-trivial knots in knot theory Prime model, as simple a model...

a knot, the direction of the wood (grain direction) is up to 90 degrees different from the grain direction of the regular wood. In the tree a knot is...