Structure and electrochemical properties of carbon aerogels polymerized in the presence of Cu

Copper-loaded organic aerogels were prepared by sol–gel polymerization of resorcinol and formaldehyde in a solution of Cu(NO₃)₂. Carbon aerogels derived from the heat-treatment of the organic precursor kept their particulate structure, according to TEM observations. The particle size in Cu-loaded carbon aerogel samples becomes larger with a higher concentration of Cu incorporated into their texture, due to the presence of Cu²⁺ rather than the pH conditions in the sol–gel process. The nitrogen adsorption measurement of Cu-loaded samples showed their characteristic pore structure, i.e., a combination of microporosity and mesoporosity both developed in their texture. Especially, their advanced microporosity, which was still found after carbonization at 1273 K, was very unique, considering that micropores in organic aerogels often decreased in size during heat-treatment around this temperature range. This microporosity could be related to their stacking structure of aromatic layers revealed by STAC–XRD analysis, indicating a looser packing of aromatic layers in their structure. Application of Cu-loaded samples to electric double-layer capacitor is also discussed from the viewpoint of the amount of Cu as well as the pore structure of the samples.     

Formes linéaires de logarithmes de points algébriques sur les groupes algébriques

Dans ce papier, nous donnons des minorations de combinaisons linéaires à coefficients algébriques de logarithmes de points algébriques sur les groupes algébriques commutatifs: soitG un groupe algébrique commutatif connexe défini sur la clôture algébriqueQ de dans , et soitvT _G () un point de l'espace tangent dont l'image exp _G (v) par l'exponentielle deG appartient àG(Q). On cherche à minorer la distance du pointv aux hyperplansW deT _G (), rationnels surQ, qui ne passent pas parv. Cette minoration dépend, entre autres, d'un majorantB de la hauteur usuelle des coefficients d'une forme linéaire définissantW. LorsqueG est un groupe linéaire, il s'agit de minorer une combinaison linéaire de logarithmes de nombres algébriques, et la méthode de A. Baker permet d'obtenir une minoration

Transversality of stable and Nehari manifolds for a semilinear heat equation

It is well known that for the subcritical semilinear heat equation, negative initial energy is a sufficient condition for finite time blowup of the solution. We show that this is no longer true when the energy functional is replaced with the Nehari functional, thus answering negatively a question left open by Gazzola and Weth (2005). Our proof proceeds by showing that the local stable manifold of any non-zero steady state solution intersects the Nehari manifold transversally. As a consequence, there exist solutions converging to any given steady state, with initial Nehari energy either negative or positive.     

Millimeter and Submillimeter Wave ESR System: Using 30 T Pulsed Magnetic Field

New systems for millimeter and submillimeter wave ESR have been developed in Kobe University. In the previous system the pulsed magnetic field was limited up to 17 T in the temperature range from 1.8 to 86 K. Using the new systems, we can measure in the field range up to 30 T in the temperature range from 1.8 K to 4.2 K and from 18 K to room temperature. The resolution of the magnetic field has been also improved in the new ESR system. The details of our new ESR systems are presented. In addition, the measurements of Yb₂Cu₂O₅ using these new systems are presented.     

Global existence for the Cauchy problem of the parabolic–parabolic Keller–Segel system on the plane

This paper is concerned with the Cauchy problem for the Keller–Segel system $$\left\{\begin{array}{l@{\quad}l}u_t = \nabla \cdot (\nabla u - u \nabla v) & \hbox{in } {\bf R}^{2} \times(0,\infty),\\v_t = \Delta v - \lambda v + u & \hbox{ in } {\bf R}^2 \times(0,\infty),\\u(x,0) = u_0 (x) \geq 0, \; v(x,0) = v_0 (x) \geq 0 & \hbox{ in} {\bf R}^2\end{array}\right.$$ with a constant λ ≥ 0, where ${(u_0, v_0) \in (L^1 ({\bf R}^2) \cap L^\infty ({\bf R}^2) ) \times (L^1 ({\bf R}^2) \cap H^1 ({\bf R}^2))}$ . Let $$m (u_0;{\bf R}^2) = \int\limits_{{\bf R}^2} u_0 (x) dx$$ . The same method as in [9] yields the existence of a blowup solution with m (u ₀; R ²) > 8π. On the other hand, it was recently shown in [7] that under additional hypotheses ${u_0 \log (1 + |x|^2) \in L^1 ({\bf R}^2)}$ and ${u_0 \log u_0 \in L^1 ({\bf R}^2)}$ , any solution with m(u ₀; R ²) < 8π exists globally in time. In[18], the extra assumptions were taken off, but the condition on mass was restricted to m (u ₀; R ²) < 4π. In this paper, we prove that any solution with m (u ₀; R ²) < 8π exists globally in time under no extra conditions. Furthermore the global existence of solutions is obtained under some condition on u ₀ also in the critical case m (u ₀; R ²) = 8π.     

Hydrogen bonding of aromatic amines in hydroxylic solvents 2. Absorption and emission spectroscopy of substituted 7-aminocoumarins and 7-aminocarbostyrils

The absorption and fluorescence spectra of 7-aminocoumarins and 7-aminocarbostyrils with different degrees of alkylation were studied in 2-propanol (IP), polyfluorinated alcohols and water. The spectral properties of substituted 7-aminocoumarins and 7-aminocarbostyrils in hexafluoro-2-propanol (HFP) are very different from those in 2-propanol due to the strong hydrogen-bonding (HB) interaction between the solute and the solvent (HFP). The spectral behaviour can be explained in terms of the strength of the HB interaction which depends on the degree of alkylation of the amino group and the electron affinity of the electron-accepting moiety. The absorption spectra indicate that a structural change at the amino nitrogen is induced on formation of strong hydrogen bonds.     

Synthesis and conversion of 2‐(pyrazol‐1‐yl)quinoxaline 4‐oxides

The reaction of 6‐chloro‐2‐hydrazinoquinoxaline 4‐oxide 1b with acetylacetone or benzoylacetone gave 6‐chloro‐2‐(3,5‐dimethylpyrazol‐i‐yl)quinoxaline 4‐oxide 5a or 6‐chloro‐2‐(3‐methyl‐5‐phenylpyrazol‐1‐yl)quinoxaline 4‐oxide 5b , respXectively. Compound 5a or 5b was converted into the pyrrolo[1,5‐a]quinoxaline 6a or 6b , triazolo[4,3‐a]quinoxaline 9a or 9b , and tetrazolo[1,5‐a]quinoxaline 10.