918 resultados para Eigenfunctions and fundamental solution
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A model describing dissociation of monoprotonic acid and a method for the determination of its pK value are presented. The model is based on a mean field approximation. The Poisson-Boltzmann equation, adopting spherical symmetry, is numerically solved, and the solution of its linearized form is written. By use of the pH values of a dilution experiment of galacturonic acid as the entry data, the proposed method allowed estimation of the value of pK = 3.25 at a temperature of 25 degrees C. Values for the complex dimensions and dissociation degree are calculated using experimental pH values for solution concentration values ranging from 0.1 to 60 mM. The present analysis leads to the conclusion that the Poisson-Boltzmann equation or its linear form is equally suited for the description of such systems.
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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
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We use a time-dependent dynamical hydrodynamic model to study a collapse in a degenerate fermion-fermion mixture ( DFFM) of different atoms. Due to a strong Pauli-blocking repulsion among identical spin-polarized fermions at short distances, there cannot be a collapse for repulsive interspecies fermion fermion interaction. However, there can be a collapse for a sufficiently attractive interspecies fermion-fermion interaction in a DFFM of different atoms. Using a variational analysis and numerical solution of the hydrodynamic model, we study different aspects of collapse in such a DFFM initiated by a jump in the interspecies fermion-fermion interaction ( scattering length) to a large negative ( attractive) value using a Feshbach resonance. Suggestion for experiments of collapse in a DFFM of distinct atoms is made.
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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
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Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
Avaliação qualitativa e quantitativa na deposição de calda de pulverização em Commelina benghalensis
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O objetivo deste estudo foi o de avaliar a quantidade e qualidade da deposição da calda de pulverização em plantas de Commelina benghalensis, considerando os volumes de aplicação, as pontas de pulverização e o ângulo dos bicos na barra de pulverização. Foram utilizadas cinco hastes de plantas por vaso. O delineamento experimental adotado foi o inteiramente casualizado, com 20 repetições. O experimento foi conduzido em casa de vegetação e a aplicação da calda foi efetuada após 40 dias do transplantio das hastes, quando estavam com 30 a 40 cm de comprimento. Os tratamentos foram constituídos por cinco pontas de pulverização (TX-VK 6, TX-VK 8, XR 11001 VS, XR 11002 VS e TJ60 11002 VS), sendo testadas com dois ângulos de aplicação (0º e +30º), exceto a TJ60 11002 VS, e todas com dois volumes de calda distintos (100 e 200 L ha-1). Foi utilizado como traçador o corante Azul Brilhante FDC-1 na concentração de 500 ppm, para determinar a deposição da calda de pulverização. Após a aplicação, 20 hastes no total foram imediatamente coletadas e, em seguida, lavadas em 100 mL de água destilada, para posterior quantificação do traçador em espectrofotômetro. Os dados foram transformados em valores de depósitos por grama de massa seca e ajustados à curva de regressão pelo modelo de Gompertz. Os resultados evidenciaram que, independentemente da ponta utilizada, o volume de 200 L ha-1 proporcionou os maiores depósitos médios e pontuais nas plantas. Quanto à uniformidade do depósito de calda sobre as plantas, a ponta XR 11001 VS no volume de 100 L ha-1 proporcionou a melhor uniformidade. Contudo, quando se utilizou o ângulo de +30º, ocorreram acréscimos dos depósitos ao se utilizar o volume de 100 L ha-1, e, nesse caso, houve melhor uniformidade para o volume de 200 L ha-1.
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OBJETIVO: Verificar o efeito da solução composta por fenol, ácido acético e glicerina sobre o tumor ascítico de Ehrlich. MÉTODOS: Após a coleta do líquido ascítico de três camundongos procedeu-se a incubação, a 37° C, do mesmo com diferentes doses da solução teste (0,50, 0,25, 0,10 e 0,05 ml) e com solução salina (0,50 ml como controle; estudou-se a viabilidade celular pela técnica de exclusão do azul tripan). RESULTADOS: Observou-se que ao final de 15 minutos todas as células tumorais encontravam-se inviáveis com as diferentes doses da solução teste. CONCLUSÃO: A solução proposta, causa, in vitro, a morte das células tumorais ao foral de 15 minutos.
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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
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We present a recent development in holography with multimode, large free-spectral range (FSR) diode lasers in photorefractive sillenite crystals. A novel refractometry method based on this type of holographic recording in Bi12TiO20 (BTO) crystals is proposed. The holographic image of a prism-shaped transparent sample appears covered of interference fringes, and as the sample is properly translated, the fringes run along the holographic image. An expression providing the refractive index of the medium as a function of the sample displacement and the correspondent number of running fringes was derived. The refractive indexes of optical (BK7) glass, ethanol, hexan, cumene and aqueous solution of NaCl with different concentrations were measured in order to test the method. The obtained results are in good agreement with the ones reported in literature or measured by us using a commercial Abbe refractometre. (c) 2006 Elsevier B.V. All rights reserved.
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We have used surface tension measurements, differential scanning calorimetry (DSC), dynamic light scattering (DLS), and cryo-transmission electron microscopy (cryo-TEM) to investigate the dynamic and structural behavior of octadecyltrimethylammonium bromide (C(18)TAB) micelles in water and NaBr solution. The surface tension data for fixed C(18)TAB concentrations of 25 mM and varied NaBr additions (0-50 mM) shows that the critical micelle concentration (cmc) increases after an initial decrease at 0.5 mM NaBr. This unusual effect has been explained using results from DSC and DLS. At low salt concentrations (below ca. 25 mM) the relaxation time distribution is bimodal with a dominant fast mode due to spherical micelles. Above ca. 35 mM NaBr disklike structures are favored and the relaxation time distribution is more closely unimodal. The postulated sphere-to-disk transition is supported by cryo-TEM micrographs. A pronounced increase in the micellar effective hydrodynamic radius (R-H) is observed as the NaBr concentration is increased above about 35 mM; below 35 mM the R-H of the spherical micelles changes Little with ionic strength.
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The preparation of crack-free SnO2 supported membranes requires the development of new strategies of synthesis capable to allow controlled changes of surface chemistry and to improve the processability of supported layers. In this way, the controlled modification of the SnO2 nanoparticle surface by adding capping molecules like Tiron(R) ((OH)(2)C6H2(SO3Na)(2)) during the sol-gel process was studied, aiming to obtain high performance membranes. Colloidal suspensions were prepared by hydrolyzing SnCl4.5H(2)O aqueous solution with NH4OH in presence of Tiron(R). The effect of the amount of Tiro(R) (from I to 20 wt.%) on the structural features of nanoparticles, powder redispersability and particle-solution interface properties was investigated by X-ray powder diffraction (XRPD), extended X-ray absorption fine structure (EXAFS), quasi-elastic light scattering and electrophoretic mobility measurements. XRPD and EXAFS results showed that the addition of Tiron(R) up to 20 wt.% to colloidal suspensions does not affect the crystallite size of SnO2 primary particles, determined around 2-3 nm. This value is comparable to the hydrodynamic size measured after redispersion of powder prepared with amount of Tiro(R) higher than 7.5 wt.%, indicating the absence of condensation reactions between primary particles after the initial precipitation step. As a consequence the powder with amount of Tiron(R) > 7.5 wt.%, can be fully redispersed in aqueous solution at pH greater than or equal to I I until a nanoparticle concentration of 6 vol.%. The electrophoresis measurements showed a decrease of the isoelectric point by increasing the amount of grafted Tiron(R) at the SnO2 nanoparticle surface, resulting in negatively charged particle-solution interface in all the studied pH range (2-11). These features govern the gelation process favoring the preparation of crack-free SnO2 supported membranes. The control exercised by Tiron(R) modifying agent in the aggregation process allows the fine-tuning of the porosity, from 0.124 to 0.065 cm(3) g(-1), and mean pore size, from 6.4 to 1.9 nm, as the amount of grafted molecules increases from 0 to 10 wt.%. In consequence, the membrane cut-off determined by filtration of polyethylene glycol standard solutions can be screened from 1500 to 3500 g mol(-1). (C) 2002 Elsevier B.V. B.V. All rights reserved.
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The Schrodinger equation with the truncated Coulomb potential is solved using the supersymmetric quantum mechanics formalism, with and without the cutoff in the angular momentum potential. We obtain some analytical eigenfunctions and eigenvalues for particular values of the cutoff parameter.