Preliminary validation of cyclopropene activation by an I(I)/I(III) catalysis manifold is disclosed to enable the direct tetrafluorination 3,3-diarylcyclopropenes. This transformation occurs through in situ generation ArI(III)F2, with inexpensive iodobenzene, amine·HF complexes and Selectfluor® serving as catalyst, fluoride source oxidant, respectively. Leveraging this approach, it has been pos...

 In network code setting, a constant dimension code is a set of k-dimensional subspaces of F nq . If F_q n is a nondegenerated symlectic vector space with bilinear form f, an isotropic subspace U of F n q is a subspace that for all x, y ∈ U, f(x, y) = 0. We introduce isotropic subspace codes simply as a set of isotropic subspaces and show how the isotropic property use in decoding process, then...

Low-valent titanocene catalysts are a versatile tool for organic synthesis. They promote inter- and intramolecular reactions ranging from homolytic bond cleavages to reductive umpolung additions cyclizations in single electron steps. These heavily depend on the redox potential of an situ formed titanium(III) center, which can be adjusted by choice appropriate ligands. We herein review various c...