Filler-nanocellulose substrate for printed electronics: experiments and model approach to structure and conductivity

Composites made of inorganic filler particles and cellulose nanofibres can be applied as substrates for printed electronics. We have studied the structural properties of these substrates both experimentally and with particle-level modeling approach. Our model describes the skeleton structure formed by pigment particles of varied shapes and size distributions. Nanocellulose is assumed to fill voids of the structure. The model simulations predict quite well the relative changes in measured density, porosity and roughness for kaolin and precipitated calcium carbonate (PCC) pigments. Measured roughness turns out to be higher for kaolin than for PCC. Yet, the measured conductivity of printed lines on kaolin surface is higher than the conductivity on the PCC surface. The simulations reveal a more open surface pore structure for PCC than for kaolin, which leads to stronger absorption of the silver ink, and thus explains the differences in the measured conductivities.     

Metallocene/methylaluminoxane‐catalyzed copolymerizations of oxygen‐functionalized long‐chain olefins with ethylene

Copolymerizations of ethylene with 10‐undecen‐1‐ol, 10‐undecenyl methyl ether, 10‐undecenyl trimethyl silyl ether, and 1‐undecene were performed with rac‐ethylene‐bis(1‐indenyl)zirconium dichloride as a catalyst and methylaluminoxane as a cocatalyst. All three oxygen‐functional comonomers copolymerized with ethylene, although the activity of the catalyst decreased considerably compared with the homopolymerization of ethylene. The conversions of the comonomers varied from 17 to 40%, depending on the amount of comonomer in the feed. Under the same conditions, the conversion of 1‐undecene was 50–75%. The incorporation (0.7–3.6 mol %, depending on the feed) and the effect on the activity of the catalyst were on the same level for all the functional comonomers, which indicates that trimethylsilyl or methyl groups do not act as effective protecting groups for oxygen atoms. According to NMR and Fourier transform infrared analyses, the final functional group in the copolymers of the trimethylsilyl ether comonomer was hydroxyl. In contrast, the methyl ether group remained untouched in the copolymer, which suggests that the formation of aluminum alkoxides via a reaction with a cocatalyst is not a prerequisite for comonomer incorporation. © 2000 John Wiley & Sons, Inc. J Polym Sci A: Polym Chem 38: 1966–1971, 2000     

Ethylene polymerizations with novel tantalum(V) aminopyridinato complex/MAO systems

The use of two kinds of tantalum(V) aminopyridinato complexes, bis(2-benzylaminopyridinato)trichlorotantalum(V) and trichlorobis[2,6-di(phenylamino)pyridinato-N,N′]-tantalum(V), activated by methylaluminoxane was studied in polymerization of ethylene. The activities of these homogeneous catalyst systems are comparable to those of metallocenes. The weight-average molecular weights (M̄_w) of the produced polyethylenes are between 60 000 and 200 000 and M̄_w/M̄_n ≈ 2.     

Two 9‐alkylthiophenanthrenes at 193 K (alkyl = dodecyl and tetradecyl)

Two isostructural 9‐thiophenanthrene derivatives, 9‐dodec­ylthiophenanthrene, C₂₆H₃₄S, (I), and 9‐tetradecylthiophen­anthrene, C₂₈H₃₈S, (II), are reported. They crystallize in the monoclinic space group P2₁/c with four molecules in a unit cell. The S—C_phenanthrene bonds are 1.767 (2) and 1.772 (4) Å and S—C_alkyl bonds are 1.809 (2) and 1.804 (4) Å for (I) and (II), respectively. The bond angles at S are 104.04 (11) and 104.0 (2)° for (I) and (II), respectively.     

Di‐9‐anthryl disulfide at 193 K

The title compound, C₂₈H₁₈S₂, crystallizes in the monoclinic space group P2₁/n and the structure shows pseudosymmetry close to the space group C2/c. At 193 K the compound has a long S—S bond of 2.1089 (12) Å and the S atom to anthracene bond distances are 1.776 (3) and 1.770 (2) Å. The C—S—S—C torsion angle is 76.06 (13)°.     

Stable outcomes of the roommate game with transferable utility

We consider the TU version of Gale and Shapley's roommate game. We find several results that are analogous to known results for the NTU game, such as a characterization of stable outcomes by forbidden minors, a characterization of the extreme points of the core, and a median property of stable outcomes. The TU roommate game is a special case of the TU partitioning game of Kaneko and Wooders. Bondareva and Shapley's balancedness condition for the core of such games is the starting point for our forbidden minors approach. Received: April 1999/Revised version: November 2000     

Real-time control of column switching in multidimensional gas chromatography

In chromatography the separation power expressed in terms of peak capacity can be greatly enhanced by multidimensional techniques. The most important aspect of multidimensional chromatography is the precise location of the heart-cut window. Very often the reliability of this positioning is ensured by applying relatively large heart-cuts; this reduces the intrinsic selectivity offered by the technique. The best way of locating peaks in chromatography is by means of retention indices. This technique can also be used in multidimensional chromatography. A method is described whereby the heartcut window in multidimensional gas chromatography (MDGC) can be defined precisely.     

Direct determination of silver in geological reference samples after aqua regia leach by graphite furnace atomic absorption spectrometry with matrix modification

Summary Silver was determined in 20 different geological samples by electrothermal AAS with and without (NH₄)₂HPO₄ matrix modifier after aqua regia leach. The results were compared with those obtained after total dissolution of samples.The ashing temperature can be 300 °C higher and the atomising temperature 100°C lower when matrix modifier is used. The sensitivity of the method for Ag was 25% better with modifier. The detection limit, calculated in relation to the original solid sample, was 0.01 g/g with modifier.The results were systematically lower with matrix modifier, the mean value of recovery being 91.2% with modifier and 97.2% without. The ranges of the recovery values were noticeably different: from 84.5 to 99.5 with matrix modifier and from 63.4 to 110.2 without. The matrix modifier tended to even out the differences in the effects of geological matrices.

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Direkte Silberbestimmung in geologischem Referenzmaterial mit Hilfe der Graphitofen-AAS mit Matrixmodifikation (nach Auslaugen mit Königwasser)

     

Lecture Hall Partitions

We prove a finite version of the well-known theorem that says that the number of partitions of an integer N into distinct parts is equal to the number of partitions of N into odd parts. Our version says that the number of lecture hall partitions of length n of N equals the number of partitions of N into small odd parts: 1,3,5, ldots, 2n-1 . We give two proofs: one via Bott's formula for the Poincaré series of the affine Coxeter group , and one direct proof.