Sur l'homologie du groupe orthogonal à coefficients dans les algèbres de Clifford

The object of this Note is to show that the method used by Dupont and Sah to compute the homology groups $\text{H}{}_1\text{(}\text{SO}\text{(3;}\text{R}\text{),}\text{so}\text{(3;}\text{R}\text{))}$ and $\text{H}{}_2\text{(}\text{SO}\text{(3;}\text{R}\text{),}\text{so}\text{(3;}\text{R}\text{))}$ can be reformulated more generally in terms of non-commutative differential forms over Clifford algebras. Applying then this formalism to other Clifford algebras, we are able on the one hand to retrieve the results of Cathelineau for the groups $\text{H}{}_1\text{(}\text{SL}{}_2\text{(}\text{C}\text{),}\text{sl}{}_2\text{(}\text{C}\text{))}$ and $\text{H}{}_2\text{(}\text{SL}{}_2\text{(}\text{C}\text{),}\text{sl}{}_2\text{(}\text{C}\text{))}$, and on the other hand to compute $\text{H}{}_1\text{(}\text{SL}{}_2\text{(}\text{R}\text{),}\text{sl}{}_2\text{(}\text{R}\text{))}$ and $\text{H}{}_2\text{(}\text{SL}{}_2\text{(}\text{R}\text{),}\text{sl}{}_2\text{(}\text{R}\text{))}$, which are isomorphic to $\text{Ω}{}^1{}_{\mathrm{<mtext>R</mtext><mtext>|</mtext><mtext>Q</mtext>}}$ and to the null group respectively. To cite this article: J.-G. Grebet, C. R. Acad. Sci. Paris, Ser. I 336 (2003).     

Efficient Diketopyrrolopyrrole‐Based Small‐Molecule Bulk‐Heterojunction Solar Cells with Different Electron‐Donating End‐Groups

A series of small molecules that contained identical π‐spacers (ethyne), a central diketopyrrolopyrrole (DPP) unit, and different aromatic electron‐donating end‐groups were synthesized and used in organic solar cells (OSCs) to study the effect of electron‐donating groups on the device performance. The three compounds, DPP‐A‐Ph , DPP‐A‐Na , and DPP‐A‐An , possessed intense absorption bands that covered a wide range, from 350 to 750 nm, and relatively low HOMO energy levels, from ?5.50 to ?5.55 eV. DPP‐A‐An , which contained anthracene end‐groups, demonstrated a stronger absorbance and a higher hole mobility than DPP‐A‐Ph , which contained phenyl groups, and DPP‐A‐Na , which contained naphthalene units. The power‐conversion efficiencies (PCEs) of OSCs based on organic:PC₇₁BM blends (1:1, w/w) with a processed DIO additive were 3.93 % for DPP‐A‐An , 3.02 % for DPP‐Na , and 2.26 % for DPP‐A‐Ph . These findings suggest that a DPP core that is functionalized with electron‐donating capping groups constitutes a promising new class of solution‐processable small molecules for OSC applications.     

General sampling theorem using contour integral

We present the sampling theorem with sampling functions of general form for entire functions satisfying one of the growth conditions

     

High performance semiconducting polymers containing bis(bithiophenyl dithienothiophene)‐based repeating groups for organic thin film transistors

New dithienothiophene‐containing conjugated polymers, such as poly(2,6‐bis(2‐thiophenyl‐3‐dodecylthiophene‐2‐yl)dithieno[3,2‐b;2′,3′‐d]thiophene, 4 and poly(2,6‐bis (2‐thiophenyl‐4‐dodecylthiophene‐2‐yl)dithieno[3,2‐b;2′,3′‐d]thiophene, 8 have been successfully synthesized via Stille coupling reactions using dodecyl‐substituted thiophene‐based monomers, bistributyltin dithienothiophene, and bistributyltin bithiophene; these polymers have been fully characterized. The main difference between the two polymers is the substitution position of the dodecyl side chains in the repeating group. Grazing‐incidence X‐ray diffraction (GI‐XRD) gave clear evidence of edge‐on orientation of polycrystallites to the substrate. The semiconducting properties of the two polymers have been evaluated in organic thin film transistors (OTFTs). The two conjugated polymers 4 and 8 exhibit fairly high hole carrier mobilities as high as μ_ave = 0.05 cm²/Vs (I_ON/OFF = 3.42 × 10⁴) and μ_ave = 0.01 cm²/Vs, (I_ON/OFF = 1.3 × 10⁵), respectively, after thermal annealing process. The solvent annealed films underwent reorganization of the molecules to induce higher crystallinity. Well‐defined atomic force microscopy (AFM) topography supported a significant improvement in TFT device performance. The hole carrier mobilities of the solvent annealed films are comparable to those obtained for a thermally annealed sample, and were one‐order higher than those obtained with a pristine sample. © 2010 Wiley Periodicals, Inc. J Polym Sci Part A: Polym Chem, 2010     

Comparison of photoluminescence and capacitance spectroscopies as efficient tools for interface characterisation of heterojunction solar cells

The correlation between diffusion capacitance and photoluminescence as a method of interface-defect density characterisation in amorphous silicon/crystalline silicon heterojunction solar cells is explored by numerical modelling and experimentally. At open circuit, the influence of the defect density at the front amorphous silicon/crystalline silicon interface and the surface recombination velocity of the minority carriers in the bulk depend on the doping level of the crystalline silicon and the critical contribution of the majority carriers. Experimental illustration is given for five series of solar cells with different doping levels, interface properties and back contacts. We observe agreement between simulation and experimental results and a correlation between the two methods of measurement of interface defects.     

HPLC determination of irbesartan in human plasma: its application to pharmacokinetic studies

A simple and rapid HPLC method using fluorescence detection was developed for determination of irbesartan in human plasma. Sample preparation was accomplished through a simple deproteinization procedure with 0.4 mL of acetonitrile containing 800 ng/mL of losartan (internal standard), and to a 0.1 mL plasma sample. Chromatographic separation was performed on a Zorbax Xclipse XDB C₁₈ column (150 × 4.6 mm, i.d., 5 µm) at 40°C. An isocratic mobile phase, acetonitrile:0.1% formic acid (37:63, v/v), was run at a flow‐rate of 1.0 mL/min, and the column eluent was monitored using a fluorescence detector set at excitation and emission wavelengths of 250 and 370 nm, respectively. The retention times of irbesartan and losartan were 4.4 and 5.9 min, respectively. This assay was linear over a concentration range of 10–5000 ng/mL with a lower limit of quantification of 10 ng/mL. The coefficient of variation for this assay precision was less than 8.48%, and the accuracy exceeded 94.4%. The mean relative recoveries of irbesartan and losartan were 98.4 and 99.1%, respectively. This method was successfully applied for pharmacokinetic study after oral administration of irbesartan (300 mg) to 23 Korean healthy male volunteers. Copyright © 2009 John Wiley & Sons, Ltd.     

Stability of localized operators

Let ?p, 1?p?∞, be the space of all p-summable sequences and Ca be the convolution operator associated with a summable sequence a. It is known that the ?p-stability of the convolution operator Ca for different 1?p?∞ are equivalent to each other, i.e., if Ca has ?p-stability for some 1?p?∞ then Ca has ?q-stability for all 1?q?∞. In the study of spline approximation, wavelet analysis, time-frequency analysis, and sampling, there are many localized operators of non-convolution type whose stability is one of the basic assumptions. In this paper, we consider the stability of those localized operators including infinite matrices in the Sjöstrand class, synthesis operators with generating functions enveloped by shifts of a function in the Wiener amalgam space, and integral operators with kernels having certain regularity and decay at infinity. We show that the ?p-stability (or Lp-stability) of those three classes of localized operators are equivalent to each other, and we also prove that the left inverse of those localized operators are well localized.     

Oxidative dehydrogenation of propane under steady-state and transient regimes over alumina-supported catalysts prepared from mixed V_2W_4O_（19）~（4-） hexametalate precursors

An integrated approach combining the development of an innovative catalyst and the research of a set of adequate operating conditions for the propane oxidative dehydrogenation (ODH) is described. The experimental set-up, specially designed for steady-state and transient studies is presented. The preparation method, the characterization and the performances in steady-state and transient regimes of catalysts based on V_2W_4O_(19)~(4-) Lindqvist isopolyanion used as a precursor and supported on alumina are reported. The influence of the preparation method of the catalyst and the role of water in the feed gas are more particularly discussed.     

Coherent interfaces: Efficient boundary conditions in solid state reactivity. Study in V2O5AlNbO4, V2O5GaNbO4, and V2O5TiNb2O7 systems

The thermodynamically unexpected reduction of V₂O₅ in the presence of the mixed oxides AlNbO₄, GaNbO₄, and TiNb₂O₇ under nitrogen at 630°C is reported and gives a supplementary example of the kind of interfacial reaction observed in the V₂O₅TiO₂ system. It is shown that this phenomenon comes from the establishment of coherent interfaces between the cleavage planes of two crystals belonging to the same crystallo-chemical family. The reduction enables the system to diminish the elastic stress created by the slight interfacial misfit. A thermodynamic and kinetic explanation, based on structural factors, is given.