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A Family of Circles in a WindowLightfoot, Ethan Taylor 01 May 2015 (has links)
For Ford Circles on the real line, [0; 1], G.T. Williams and D.H. Browne discovered that this arrangement of infinite circles has an area-sum \pi+\pi\frac{\zeta(3)}{\zeta(4)}, where \zeta(s) is the Riemann-Zeta function from complex analysis and number theory. The purpose of this paper is to explore their findings in detail and provide alternative methods to prove the statements found in the paper. Then we will attempt to show similar results on the Apollonian Window packing using inversion through circles and the results of Williams and Browne.
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Zeta-medidas e princípio dos grandes desviosMengue, Jairo Krás January 2010 (has links)
Seguindo os trabalhos de William Parry e Mark Pollicott, analisamos expressões de funções zeta dinâmicas e construímos probabilidades envolvendo somas em órbitas periódicas, que chamamos de zeta-medidas. Mostramos que as zeta-medidas são ferramentas úteis para aproximar o equilíbrio de um potencial Holder e que podem ser usadas para aproximar a probabilidade maximizante. Para alguns casos, mostramos que esta convergência satisfaz um princípio dos grandes desvios sem assumir unicidade da probabilidade maximizante. Como as iterações do Operador de Ruelle podem ser usadas para aproximar o equilíbrio de um potencial Holder, tomando um limite em duas variáveis, mostramos que elas podem ser usadas para aproximar a probabilidade maximizante. Supondo a unicidade da probabilidade maximizante, mostramos que esta convergência satisfaz um princípio dos grandes desvios com o mesmo funcional obtido por Baraviera-Lopes-Thieullen, para as medidas de equilíbrio. Mostramos antes que este funcional difere do obtido para zeta-medidas. Em uma seção independente, construímos um ponto cujo w-limite não contém pontos periódicos. Este w-limite pode ser aproximado exponencialmente em N por órbitas periódicas de tamanho menor ou igual a N. / We follow the works of William Parry and Mark Pollicott considering expressions of dinamical zeta functions and construct probabilities over sum on periodic orbits, that we call zeta-measures. We show that zeta-measures are useful tools to approximate the equilibrium measure of a H¨older potential and also they can be used to approximate the maximizing measure. In some cases, we show that this convergence satisfies a Large Deviation Principle (LDP) without assuming unicity of the maximizing measure. The Ruelle Operator can be used to approximate the equilibrium measure of a H¨older potential, so taking a limit on two variables, we show that they can be used to aproximate the maximizing measure. When there is a unique maximizing measure, we show that this convergence satisfies a LDP with the same functional given by Baraviera-Lopes-Thieullen, for equilibrium measures. We have shown before that this functional isn’t the same for zeta-measures. In a independent section we construct a point such that the w-limit set doesn’t have periodic points. This w-limit set can be approximate exponencialy in N by periocic orbits with period smaller than N.
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Global, Local Zeta Function and p-adic IntegrationZhou, Zi Jie January 2022 (has links)
Thesis advisor: Dubi Kelmer / In complex analysis, analytic continuation is a common and important tool to study the properties of complex functions. In this paper, we will introduce and define the global zeta function with an associated function f, where f is a polynomial with n variables with integer coefficients. With the usage of p-adic integration, we can conclude that the global zeta function is analytically continued to all s ∈ C when f is the sum of squares with n variables. / Thesis (BS) — Boston College, 2022. / Submitted to: Boston College. College of Arts and Sciences. / Discipline: Departmental Honors. / Discipline: Mathematics.
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Modifications de surface des nanodiamants : compréhension des mécanismes d’échanges électroniques et mise en évidence d’un effet thérapeutique / Nanodiamonds surface modifications : understanding of electron exchange mecanisms and evidence of a therapeutic effectPetit, Tristan 18 March 2013 (has links)
A partir de l'étude des effets de la chimie de surface des Nanodiamants (NDs) sur leurs propriétés électroniques, cette thèse a permis la mise en évidence d'un effet thérapeutique des NDs sur des cellules humaines. En particulier, il a été montré que les NDs de détonation peuvent générer des radicaux libres oxygénés sous radiation ionisante, ce qui pourrait améliorer l'efficacité de certains traitements de radiothérapie actuels. Les échanges électroniques entre le coeur des NDs et leur environnement sont en effet favorisés après des traitements de surface, notamment d'hydrogénation et de graphitisation de surface. Les conditions expérimentales permettant d'obtenir des NDs hydrogénées (NDs-H) sous plasma d'hydrogène ont été optimisées sous ultravide, puis ont été utilisées pour préparer de grandes quantités de NDs-H sous forme pulvérulente. La même procédure a été appliquée pour la graphitisation de surface des NDs, en utilisant des recuits sous vide à haute température. L'effet de ces traitements de surface sur les propriétés d'interactions électroniques des NDs a été étudié après exposition à l'air ambiant, puis en dispersion dans l'eau. Ces traitements de surface assurent notamment un potentiel Zeta positif aux NDs, dont l'origine a été discutée. Enfin, les interactions des NDs avec plusieurs lignées de cellules tumorales humaines ont été étudiées et l'efficacité des NDs pour radiosensibiliser des cellules radiorésistantes sous irradiation gamma a été montrée, ouvrant de nouvelles perspectives d'applications des NDs en nanomédecine. . / In this thesis, a therapeutic effect of nanodiamonds (NDs) has been evidenced by investigating the role of NDs surface chemistry on their electronic properties. More precisely, the generation of reactive oxygen species from detonation NDs under ionizing radiation, which could improve current radiotherapy treatments, has been demonstrated. To this end, surface treatments facilitating electron transfer from NDs to their environment, namely hydrogenation and surface graphitization, were developed. Experimental conditions ensuring an efficient hydrogenation by hydrogen plasma were determined under ultrahigh vacuum, before being used to prepare large quantities of NDs in powder phase. A similar procedure was applied to the surface graphitization of NDs, performed by annealing under vacuum at high temperature. The impact of such surface treatments on the electronic interaction properties of NDs has been investigated under ambient air and after dispersion in water. These surface treatments induce a positive Zeta potential to NDs in water, which origin has been discussed. Finally, their interactions with human tumor cells were observed. Radiosensitization of tumor cells using NDs under gamma irradiation was demonstrated, opening new perspectives for NDs in nanomedicine.
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Sobre somas infnitas e uma forma recursiva para a soma da série Zeta (2p) de Riemann / About infinite sums and recursive form to riemann´s Zeta (2p) functionSouza, Uender Barbosa de 29 April 2015 (has links)
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Previous issue date: 2015-04-29 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / This paper presents methods to calculate some in nite sums and use the Fourier
series of function f(x) = x2p with p 2 N to get results on the behavior of Zeta(2p)
function Riemann, including their sum and rational multiplicity of 2p. / Neste trabalho apresentamos métodos para o cálculo de algumas somas in nitas
e usamos a série de Fourier da função f(x) = x2p com p 2 N para obter resultados
sobre o comportamento da função Zeta(2p) de Riemann, tais como sua soma e sua
multiplicidade racional por 2p.
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Smallest poles of Igusa's and topological zeta functions and solutions of polynomial congruencesSegers, Dirk 30 April 2004 (has links) (PDF)
Igusa's p-adic zeta function is associated to a polynomial f in several variables over the integers and to a prime p. It is a meromorphic function which encodes for every i the number of solutions M_i of f=0 modulo p^i. The intensive study of Igusa's p-adic zeta function by using an embedded resolution of f led to the introduction of the topological zeta function. This geometric invariant of the zero locus of a polynomial f in several variables over the complex numbers was introduced in the early nineties by Denef and Loeser. It is a rational function which they obtained as a limit of Igusa's p-adic zeta functions and which is defined by using an embedded resolution.<br />I have studied the smallest poles of the topological zeta function and the smallest real parts of the poles of Igusa's p-adic zeta function. For n=2 and n=3, I obtained results by using an embedded resolution of singularities. I discovered that the smallest real part of a pole of Igusa's p-adic zeta function is related with the divisibility of the M_i by powers of p. I obtained a general theorem on the divisibility of the M_i by powers of p, which I used to obtain the optimal lower bound for the real part of a pole of Igusa's p-adic zeta function in arbitrary dimension n. I obtained this lower bound also for the topological zeta function by taking the limit.
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Zeta and L-functions and Bernoulli polynomials of root systemsKomori, Yasushi, Matsumoto, Kohji, Tsumura, Hirofumi January 2008 (has links)
No description available.
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Estudo das propriedades eletricas das hemacias utilizando pinça optica / Study of electrical properties of red blood cell using optical tweezersFernandes, Heloise Pockel 14 August 2018 (has links)
Orientadores: Maria Lourdes Barjas-Castro, Carlos Lenz Cesar / Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Ciencias Medicas / Made available in DSpace on 2018-08-14T15:31:46Z (GMT). No. of bitstreams: 1
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Previous issue date: 2009 / Resumo: A membrana eritrocitária contém proteínas e glicoproteínas imersas em uma bicamada lipídica que possui um comportamento viscoelástico. Algumas glicoproteínas contém ácido siálico, que é o principal responsável pelas cargas negativas na superfície da hemácia que quando em solução cria um potencial elétrico (Ç) repulsivo. A carga elétrica negativa da superfície eritrocitária influencia na distribuição dos íons da solução ao redor da célula formando uma dupla camada de íons. A primeira, conhecida como camada compacta de cargas ou "Stern" é formada por íons rigidamente ligados à hemácia e a segunda camada é composta por íons distribuídos difusamente e conhecida como camada difusa. O objetivo deste estudo foi medir o potencial zeta (Ç), a espessura da dupla camada das cargas iónicas (DLC) ao redor da hemácia, e a força de agregação eritrocitária com diferentes meios potencializadores da aglutinação utilizando pinça óptica. (...continua) / Abstract: The red blood cell (RBC) membrane contains proteins and glycoproteins embedded in a fluid lipid bilayer that confers viscoelastic behavior. Sialylated glycoproteins of the RBC membrane are responsible for a negatively charged surface, which creates a repulsive electric zeta potential (Z) between the cells.The compact layer of charge or Stern consists of ions rigidly bonded to the cell and the double layer includes ions diffusely distributed around the cell. The aim of this study was to measure the RBC double layer thickness of the charge (DLC) around the cell, zeta potential (Z) and cell aggregation force in agglutination potentiator solutions, using optical tweezers. (¿to be continue) / Mestrado / Mestre em Farmacologia
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Elaboração e caracterização de filmes coacervados à base de gelatina/quitosana, gelatina/pectina e gelatina/goma arábica / Preparation and characterization of coacervates films on based gelatin/chitosan, gelatin/pectin and gelatin/gum arabicBraga, Andréa Helena Ferreira, 1980- 09 October 2013 (has links)
Orientador: Carlos Raimundo Ferreira Grosso / Tese (doutorado) - Universidade Estadual de Campinas, Faculdade de Engenharia de Alimentos / Made available in DSpace on 2018-08-23T08:09:57Z (GMT). No. of bitstreams: 1
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Previous issue date: 2013 / Resumo: A eficiente combinação entre proteínas e polissacarídeos produz filmes biodegradáveis com melhores propriedades funcionais, a interação associativa entre os grupamento presentes na cadeia polimérica dos biopolímeros gera uma rede polimérica mais coesa e resistente. Esta associação, em geral, ocorre através das interações eletrostáticas entre os biopolímeros que é controlada pelas condições de pH, força iônica e proporção estequiométrica dos polimeros, entre outros parâmetros. O objetivo deste trabalho foi utilizar o método de coacervação na elaboração de filmes a base de gelatina-quitosana (GEL/QUI), gelatina-pectina (GEL/PEC) e de gelatina-goma arábica (GEL/GAR) com o intuito de promover maiores interações intermoleculares entre os biopolímeros, formando filmes mais resistentes mecanicamente e menos susceptíveis a ação da água. O desenvolvimento deste trabalho pode ser dividido em: 1-) Análise da solução filmogênica de GEL/QUI ou PEC ou GAR (em várias proporções estequiométricas): nesta etapa foi feito um estudo para definir o pH de coacervação para cada formulação utilizando o ?-potencial zeta. No pH de coacervação ocorre a máxima interação eletrostática entre os biopolímeros gerando carga elétrica neutra para a solução filmogênica (?-potencial zeta igual a zero), devido a neutralização da carga elétrica positiva (-NH4+) com a carga elétrica negativa (-COO-) dos biopolímeros. 2-) Elaboração dos filmes coacervados foi realizada em várias proporções estequiométricas no seu devido pH de coacervação. 3-) Caracterização dos filmes de acordo com o aspecto visual, propriedades mecânicas, permeabilidade ao vapor de água (PVA), solubilidade em água (SOL), umidade (UMI) e opacidade (Op). Análises complementares de difração de raio-X (DRX), espectroscopia de infravermelho (FTIR), microscopia eletrônica de varredura (MEV) e calorimetria diferencial de varredura (DSC) foram realizadas em alguns filmes. 4-) Seleção dos filmes: foi escolhida a proporção estequiométrica que produziu filmes com maior resistência mecânica, menor PVA e SOL. 5-) Concentração do material polimérico: na formulação selecionada foram testadas maiores concentrações de material polimérico (4, 6, 8 e 10%) com o intuito de reduzir o tempo de secagem dos filmes coacervados. Estes filmes foram novamente caracterizados (propriedades mecânicas, PVA, SOL e UMI). A concentração de material polimérica escolhida para prosseguir o estudo associou o menor tempo de secagem sem alterar a PVA e SOL dos filmes. 6-) Adição do plastificante: nesta etapa foi avaliado o tipo de plastificante (triacetina e glicerol) e a sua concentração (2,5, 5, 7,5, 10, 15, 20, 25 e 30g de plastificante/100g de material polimérico). Os filmes coacervados de GEL/QUI foram elaborados em pH alcalino (pH de coacervação entre 6,2-7,2) por combinar um polissacarídeo catiônico (QUI) com a GEL. Formulações com maior teor de GEL (10:1 e 20:1 de GEL/QUI) confere ao filme coacervado maior resistência à ruptura, flexibilidade e menor PVA. As análises de difração de raio-X e de FTIR evidenciam a presença de interações eletrostáticas atrativas entre as cadeias da gelatina e a quitosana. Ao comparar os filmes coacervados com os filmes compostos (sem ajuste de pH) verificou-se que o método de coacervação conferiu ao filme maior tensão na ruptura, menor PVA e menor SOL. Ao aumentar a concentração de material polimérico de 2% para 6% constatou-se redução pela metade do tempo de secagem, além de promover maior resistência a ruptura e menor PVA. Os filmes coacervados de GEL/PEC e GEL/GAR foram elaborados em pH ácido (pHcoacervação igual a 4,0 e 4,5-5,0, respectivamente), isto ocorre devido a interação do grupo carboxil (-COO-) dos polissacarídeos aniônicos com o grupo amina (-NH4+) da GEL, já que a proteína encontra-se carregada positivamente somente em pHs abaixo do seu ponto isoelétrico - pI (pI da GEL 4,8-5,2). Para filme coacervado de GEL/PEC, somente a solução filmogênica contendo 20:1 de GEL/PEC apresentou-se homogênea e com em condição de coacervação (pHcoacervação=4,0). O espectro de FTIR do filme coacervado de GEL/PEC (20:1) mostrou que o grupo carboxil da PEC pode estar interagido com o grupo amina da GEL gerando novos grupamentos amida (1630 e 1530 cm-1). A incorporação do glicerol foi mais eficiente na matriz polimérica da GEL/PEC do que a triacetina, isto foi comprovado pela análise visual e pela difração de raio-X. Filmes coacervados de GEL/GAR apresentaram-se coesos, uniformes e homogêneos. Filmes coacervados com alto teor de GEL mostraram-se mais resistentes e flexíveis e menos solúveis em água do que as formulações com menor teor de GEL (1:1 e 2:1 de GEL/GAR), resultados confirmados pelas análises de FTIR, DSC e DRX. O método de coacervação formou filmes mais resistentes mecanicamente e a ação da água do que nos filmes não coacervados (sem ajuste de pH). O aumento da concentração do material polimérico de 2 para 6% reduziu o tempo de secagem do filme de GEL/GAR (10:1) pela metade sem alterar suas propriedades funcionais. Todos os filmes coacervados de GEL/QUI, PEC ou GAR, de modo geral, apresentaram o mesmo comportamento frente a a adição do plastificante. A adição do glicerol foi mais eficiente devido sua melhor incorporação na matriz polimérica produzindo filmes coacervados mais flexíveis, mais resistentes, com menor PVA e mais transparentes do que os filmes coacervados contendo triacetina. Os resultados apresentados neste trabalho confirmam a eficiencia do método de coacervação em melhorar a compatibilidade, e consequentemente, intensificando a interação eletrostáticas entre a proteína e o polissacarídeo. Isto reflete diretamente nas propriedades funcionais dos filmes coacervados, pois a maior interação entre os biopolímeros promove a formação de uma rede polimérica mais densa e coesa, gerando filmes com maior TR, menor PVA, menor ELO e em alguns formulações mais resistentes a ação da água (menor SOL) / Abstract: The efficient combination of proteins and polysaccharides produces biodegradable films with improved functional properties; the associative interaction between the groupings present in the polymer chain of biopolymers generates a more cohesive and resistant polymer network. This association generally occurs through electrostatic interactions between the biopolymers which is controlled by the conditions of pH, ionic strength and stoichiometric ratio of polymers, among other parameters. The aim of this study was to use the coacervation method in developing films based on gelatin-chitosan (GEL/QUI), on gelatin-pectin (GEL/PEC) and on gelatin-gum arabic (GEL/GAR), in order to promote greater intermolecular interactions between biopolymers, forming mechanically stronger films and less susceptible to the action of water. The development of this work can be divided into: 1-) Analysis of the film solution GEL/QUI or PEC or GAR (in various stoichiometric ratios): in this step a study was done to determine the pH of coacervation for each formulation using ?-zeta potential. At pH of coacervation occurs maximum electrostatic interaction between biopolymers generating a neutral electric charge for filmogenic solution (? - zeta potential of zero), due to neutralization of the positive charge (-NH4+) with negative charge (-COO-) of biopolymers. 2-) Development of coacervated films was held in various stoichiometric ratios in its proper pH of coacervation. 3-) Characterization of films according to the visual appearance, mechanical properties, permeability to water vapor (PVA) water solubility (SOL), humidity (UMI) and opacity (Op). Complementary analyzes of X-ray diffraction (XRD), infrared spectroscopy (FTIR), scanning electron microscopy (SEM) and differencial scanning calorimetry (DSC) were performed in some films. 4-) Selection of films: it was chosen a Stoichiometric ratio which produced films with higher mechanical strength and lower PVA SOL. 5-) Concentration of polymeric material: higher concentration of polymeric material (4, 6, 8, and 10% ) were tested in the selected formulation in order to reduce the drying time of the coacervated films. These films were further characterized (mechanical properties, PVA, SOL and UMI). The concentration of polymeric materials chosen for further study associated the lowest drying time without changing the SOL and PVA films. 6-) Addition of plasticizer: In this step the type of plasticizer (triacetin or glycerol) and its concentration was evaluated (2.5, 5, 7.5, 10, 15, 20, 25 and 30g plasticizer/100g polymeric material). The coacervated films GEL/CHI were prepared at alkaline pH (pH of coacervation between 6.2-7.2) by combining a cationic polysaccharide (QUI) with GEL. Formulations with higher content of gel (10:1 and 20:1 GEL/QUI) gave the coacervated film higher tensile strength, flexibility and less PVA. The analysis of X- ray diffraction and FTIR showed the presence of attractive electrostatic interactions between the chains of gelatin and chitosan. Comparing coacervated films with composite films (without pH adjustment) it was found that the coacervation method gave the highest film tensile strength, lower PVA and lower SOL. By increasing the concentration of polymeric material from 2% to 6% a reduction by half of the drying time was found promoting a greater resistance to breakage and lower PVA. The coacervate films GEL/PEC and GEL/GAR were prepared in acidic pH (pH of coacervation equal to 4.0 and 4.5 to 5.0, respectively), this occurs due to interaction carboxyl group (-COO-) of anionic polysaccharides with amino group (-NH4+) of GEL, since the protein is positively charged at pHs only below its isoelectric point - pI (pI of 4.8 to 5.2 GEL). To coacervate film GEL/PEC, only film solution containing 20:1 GEL/PEC appeared homogeneous and in condition coacervation (pH of coacervation = 4.0). The FTIR spectrum of the coacervated film GEL/PEC (20:1) showed that the carboxyl group of the PEC may have been interacted with the amino group generating new clusters of GEL amide (1630 and 1530 cm-1). The incorporation of the glycerol was more efficient in the polymer matrix of GEL/PEC than triacetin. It was confirmed by visual analysis and by X -ray diffraction. Films coacervated GEL/GAR presented themselves cohesive, uniform and homogeneous. Coacervated films with high gel content were more resistant and flexible and less soluble in water than the formulations with lower content of gel (1:1 to 2:1 GEL/GAR), which was confirmed by analysis of FTIR, DSC and XRD. The coacervation method formed films more mechanical and water resistant than in the non coacervated films. (without pH adjustment). Increasing the concentration the polymeric material from 2 to 6 % reduced the drying time of the film GEL/GAR (10:1) by half without altering their functional properties. All coacervated films GEL/QUI, PEC or GAR, in general, showed the same behavior in addition of plasticizer. The addition of glycerol was more efficient because of its better incorporation into the polymer matrix coacervated producing more flexible films, tougher, with less PVA and more transparent than coacervated films containing triacetin. The results presented here confirm the efficiency of the coacervation method to improve the compatibility, thus intensifying the electrostatic interaction between protein and polysaccharide. This highly reflects in the functional property of coacervated films, since the bigger interaction among biopolymers promotes the formation of more dense and united polymeric net, generating films with higher TR, smaller PVA, less ELO in some formulations and more resistant to the action of water (less SOL) / Doutorado / Consumo e Qualidade de Alimentos / Doutora em Alimentos e Nutrição
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Structuration par voie colloïdale de nanopoudres de boehmite à partir de systèmes mixtes organique/inorganique / Structuration by colloidal way of nanopowders boehmite from organic/inorganic hybrid systemsBelounis, Fahouzi 02 July 2015 (has links)
La recherche s’appuie pour une grande part sur le développement de nanomatériaux. Ceux-ci constituent, en effet, les matières premières des nanosciences et ouvrent à l’industrie des perspectives extrêmement larges. Le développement des céramiques nécessite une grande maîtrise des procédés d'élaboration qui permettent d'obtenir des microstructures appropriées à l’élaboration de matériaux denses pour différentes applications par exemple biomédicales. Les évolutions récentes concernent les matériaux hybrides et bio-inspirés ; les problèmes de mise en forme et de structuration multi-échelles de ces derniers incitent au développement de nouveaux procédés telle que l’approche nouvelle dite ascendante (bottom-up) consistant à fabriquer un matériau à échelle microscopique voir macroscopique à partir de ses particules nanométriques.Dans ce contexte, les travaux de cette thèse ont pour objectif de faciliter, par l’intermédiaire d’une modification de surface, la mise au point d’une technique de mise en forme originale pour l’élaboration de céramiques issues d’un matériau nanométrique de type oxyde: la granulation par coagulation. Nous nous sommes intéressés au cas d’une nanopoudre de boehmite (AlO(OH)). Cependant, cette poudre nanométrique de boehmite présente de multiples instabilités en suspension. En effet, cette poudre est soumise à de fortes gélifications en fonction du pH et à basse concentration. Il est nécessaire dans ce cas pour obtenir une suspension stable de modifier les propriétés de surface. En conséquence, une partie de ces travaux est consacrée à la fonctionnalisation de surface par des organosilanes. Cette modification de surface n’est cependant qu’une étape à l’obtention d’une particule hybride constituée d’un cœur de boehmite et d’une couche polymérique. En réalité, le greffage d’organosilane à la surface permet de créer un pont entre la partie centrale inorganique et la partie externe organique constituée de latex pouvant se lier à l’organosilane utilisé (le MPS).Le matériau hybride boehmite-MPS-latex ainsi obtenu peut être utilisé dans une nouvelle technique de mise en forme colloïdale inspirée de la granulation par hétérocoagulation. En milieu aqueux, la polarité opposée des charges de surfaces de deux entités différentes conduit à l’hétérocoagulation en suspension. La coagulation observée dans cette thèse, met en relation deux particules identiques possédant chacune, les deux charges opposées à leur surface. Le principe de la granulation consiste à induire, sous l’effet d’un mouvement de rotation des échantillons, la coalescence des agglomérats en forçant leurs surfaces à interagir par contacts réciproques. En sélectionnant la formulation, la coalescence conduit à l'élaboration d'objets sphériques homogènes en taille et en forme. / Research in this field is multidisciplinary and relies largely on the development of nanomaterials. These are, in fact, the raw materials of nanoscience and open to industry extremely broad prospects. In the field of material sciences, nanostructured materials, among them nanostructured ceramics have grown considerably in recent years. Development of ceramic requires a mastery of production processes that achieve appropriate microstructures in the development of dense materials for various applications such biomédicals. Recent developments include hybrid and bio-inspired materials; the problems of shaping and multi-scale structure of these encourage the development of new processes such as the new so-called bottom-up approach of manufacturing and make macroscopic material from its nanoparticles. In this context, the work of this PhD aim to facilitate, through surface modification, the development of an original layout technique for the development of ceramics from a material nano-oxide type: granulation coagulation. We were interested in the case of a boehmite nanopowder (AlO(OH)). However, this nanoscale boehmite powder has many instabilities in suspension. Indeed, the powder is subjected to strong gelation as function of pH and at low concentrations. It is necessary in this case to obtain a stable suspension by modifying the surface properties. Accordingly, a part of this work is devoted to surface functionalization by organosilanes. This surface modification, however, is only one stage to obtain a hybrid particle comprised of a heart of boehmite and a polymeric layer. In reality, the grafting organosilane (MPS) at the surface permit to create a bridge between the inorganic core and organic outer part consists of latex. The boehmite-MPS-latex hybrid material thus obtained can be used in a new colloidal shaping technique inspired by heterocoagulation granulation. In aqueous medium, the opposite polarity of the charges of the surfaces of two different entities leads to heterocoagulation in suspension. Clotting observed in this thesis, connects two identical particles with each, the two charges opposite to the surface. The principle of the granulation is to induce, under the effect the rotational movement, the coalescence of the agglomerates by forcing their surfaces to interact by mutual contact. By selecting the formulation, coalescence leads to the development of homogeneous spherical objects in size and shape.
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