On the Representation Theory of an Algebra of Braids and Ties

We consider the algebra ${\cal E}_n(u)$ introduced by F. Aicardi and J. Juyumaya as an abstraction of the Yokonuma-Hecke algebra. We construct a tensor space representation for ${\cal E}_n(u)$ and show that this is faithful. We use it to give a basis for ${\cal E}_n(u)$ and to classify its irreducible representations.Comment: 24 pages. Final version. To appear in Journal of Algebraic Combinatorics

Determination of the representations and a basis for the Yokonuma-Temperley-Lieb algebra

21 pages, Expanded introduction, Contains the results of previous arXiv:1302.7101International audienceWe determine the representations of the Yokonuma-Temperley-Lieb algebra, which is defined as a quotient of the Yokonuma-Hecke algebra by generalising the construction of the classical Temperley-Lieb algebra. We then deduce the dimension of this algebra, and produce an explicit basis for it

On/Off Photoswitching of the Electropolymerizability of Terthiophenes

In this contribution the polymerization of terthiophene, to form an alkene bridged a,a-coupled sexithiophene polymer, is controlled by light; i.e. the electropolymerizability of the monomer 1F is switched off and on with UV and visible light, respectively, The system comprises of both bisterthiophene and photochromic dithienylethene units. The presence of a light-switchable unit allows on-off switching of the electropolymerization of the monomer with light. Furthermore the incorporation of the dithienylethene in the polymer backbone increases dramatically the homogenity of the polymer formed (i.e., only sexithiophene units are formed). The derived films are robust and fully retain electrochromic behavior as has been demonstrated through cyclic voltammetry while spatial control (patterning) is readily achieved by applying simple optical masking techniques

Experimental and Theoretical Study of the p- and n-Doped States of Alkylsulfanyl Octithiophenes

The charge-transfer and spectral properties of two octithiophenes, namely 4\u2032,4\u2032\u2032\u2032,3\u2032v,3v\u2032-tetra(octylsulfanyl)-2,2\u2032:5\u2032,2\u2032\u2032:5\u2032\u2032,2\u2032\u2032\u2032:5\u2032\u2032\u2032,2\u2032v:5\u2032v,2v:5v,2v\u2032:5v\u2032,2v\u2032\u2032-octithiophene and 4,3\u2032\u2032,4v,4v\u2032\u2032-tetrabromo-4\u2032,4\u2032\u2032\u2032,3\u2032v,3v\u2032-tetra[(R)-2-methylbutylsulfanyl]-2,2\u2032:5\u2032,2\u2032\u2032:5\u2032\u2032,2\u2032\u2032\u2032:5\u2032\u2032\u2032,2\u2032v:5\u2032v,2v:5v,2v\u2032:5v\u2032,2v\u2032\u2032-octithiophene, OT1 and OT2, respectively,are characterized by cyclic voltammetry and spectroelectrochemistry under ultradry conditions. The analysisof the voltammetric results shows the formation of up to the dication for both OT1 and OT2 and up to thetetraanion (OT1) and trianion (OT2) anions. The optical properties of the OT1 (2+, 1+, neutral, 1-, 2-)species were probed by in situ UV-vis-NIR spectroelectrochemistry. The calculated standard potentials atthe B3LYP/cc-pVTZ level of the theory allowed the rationalization of the experimental electrochemical results.The UV-vis-NIR spectra were successfully compared with the theoretical electronic transitions and oscillatorstrength data obtained by time-dependent B3LYP/6-31G* calculations. Theoretical redox potentials and opticaltransitions properties are calculated including \u201cthe solvent effect\u201d within the CPCM model. The consistencyobtained between experimental and theoretical results indicates the existence of the hypothesized high-spin/high-charge p- and n-doped electronic states for the OT1 and OT2 octithiophenes here studied

Ex and in situ confocal raman studies of organic thin film and its on-working transistors

10.1021/jp807466eJournal of Physical Chemistry C1124919718-1972