A parametrization of matrix conjugacy orbit sets as unions of affine planes

The problem of finding a canonical form of complex matrices up to conjugacy with the set of canonical matrices being a union of affine planes in the matrix space is considered. A solution of the problem is given.     

Intermolecular direct arylation of five-membered ring heterocycles by non-activated aryl chlorides

The use of non-activated aryl chloride electrophiles in the direct arylation of carbon–hydrogen bonds in five-membered ring heterocycles is described. Specifically, palladium-, ruthenium-, and nickel-catalyzed transformations, as well as reactions proceeding via benzyne intermediates, are discussed.     

Copper-catalyzed arylation of 1H-perfluoroalkanes

A general method has been developed for arylation of readily available 1H-perfluoroalkanes. The method employs aryl iodide and 1H-perfluoroalkane reagents, DMPU solvent, TMP(2)Zn base, and a copper chloride/phenanthroline catalyst. Preliminary mechanistic studies are reported.     

Direct palladium-catalyzed ortho-arylation of benzylamines

[Structure: see text] Unsubstituted benzylamines and N-methylbenzylamine can be ortho-arylated under palladium catalysis at 130 degrees C. The reactions require the presence of trifluoroacetic acid and silver acetate.     

Cobalt‐Catalyzed Coupling of Benzoic Acid C−H Bonds with Alkynes,Styrenes, and 1,3‐Dienes

A method for cobalt‐catalyzed, carboxylate‐directed functionalization of arene C?H bonds is reported. Alkynes, styrenes, and 1,3‐dienes can be coupled with benzoic acids to provide cyclic products in good yields. The reactions proceed in the presence of a cobalt(II) hexafluoroacetylacetonate catalyst, (TMS)₂NH base, Ce(SO₄)₂ cooxidant, and oxygen oxidant.     

Macrocycle Embrace: Encapsulation of Fluoroarenes by m‐Phenylene Ethynylene Host

We report structural characterization of a new member of m‐phenylene ethynylene ring family. This shape‐persistent macrocycle also co‐crystallizes with hexafluoro‐, 1,2,4,5‐tetrafluoro‐, 1,3,5‐trifluoro, and 1,4‐difluorobenzene. The four complexes are almost isostructural, and all show the fluoroarene included into the central cavity of the macrocycle. Characterized by multiple short C?H???F?C contacts, these inclusion complexes further dimerize in the solid state into a 2+2 assembly, in which the two macrocycles embrace each other by their large hydrophobic groups that are rotated by 60° relative to one another.