Instability of solution of phase retrieval in direct diffraction phase-contrast imaging with partially coherent X-ray source

The theoretical model of direct diffraction phase-contrast imaging with partially coherent x-ray source is expressed by an operator of multiple integral. It is presented that the integral operator is linear. The problem of its phase retrieval is described by solving an operator equation of multiple integral. It is demonstrated that the solution of the phase retrieval is unstable. The numerical simulation is performed and the result validates that the solution of the phase retrieval is unstable.

Oxidation of Volatile Organic Compounds in Aqueous Solution and at the Air-water Interface of Aqueous Microdroplets

Isoprene (ISO),the most abundant non-methane VOC, is the major contributor to secondary organic aerosols (SOA) formation. The mechanisms involved in such transformation, however, are not fully understood. Current mechanisms, which are based on the oxidation of ISO in the gas-phase, underestimate SOA yields. The heightened awareness that ISO is only partially processed in the gas-phase has turned attention to heterogeneous processes as alternative pathways toward SOA.

During my research project, I investigated the photochemical oxidation of isoprene in bulk water. Below, I will report on the λ > 305 nm photolysis of H₂O₂ in dilute ISO solutions. This process yields C₁₀H₁₅OH species as primary products, whose formation both requires and is inhibited by O₂. Several isomers of C₁₀H₁₅OH were resolved by reverse-phase high-performance liquid chromatography and detected as MH⁺ (m/z = 153) and MH⁺-18 (m/z = 135) signals by electrospray ionization mass spectrometry. This finding is consistent with the addition of ·OH to ISO, followed by HO-ISO· reactions with ISO (in competition with O₂) leading to second generation HO(ISO)₂· radicals that terminate as C₁₀H₁₅OH via β-H abstraction by O₂.

It is not generally realized that chemistry on the surface of water cannot be deduced, extrapolated or translated to those in bulk gas and liquid phases. The water density drops a thousand-fold within a few Angstroms through the gas-liquid interfacial region and therefore hydrophobic VOCs such as ISO will likely remain in these relatively 'dry' interfacial water layers rather than proceed into bulk water. In previous experiments from our laboratory, it was found that gas-phase olefins can be protonated on the surface of pH < 4 water. This phenomenon increases the residence time of gases at the interface, an event that makes them increasingly susceptible to interaction with gaseous atmospheric oxidants such as ozone and hydroxyl radicals.

In order to test this hypothesis, I carried out experiments in which ISO(g) collides with the surface of aqueous microdroplets of various compositions. Herein I report that ISO(g) is oxidized into soluble species via Fenton chemistry on the surface of aqueous Fe(II)Cl₂ solutions simultaneously exposed to H₂O₂(g). Monomer and oligomeric species (ISO)1-8H⁺ were detected via online electrospray ionization mass spectrometry (ESI-MS) on the surface of pH ~ 2 water, and were then oxidized into a suite of products whose combined yields exceed ~ 5% of (ISO)1-8H⁺. MS/MS analysis revealed that products mainly consisted of alcohols, ketones, epoxides and acids. Our experiments demonstrated that olefins in ambient air may be oxidized upon impact on the surface of Fe-containing aqueous acidic media, such as those of typical to tropospheric aerosols.

Related experiments involving the reaction of ISO(g) with ·OH radicals from the photolysis of dissolved H₂O₂ were also carried out to test the surface oxidation of ISO(g) by photolyzing H₂O₂(aq) at 266 nm at various pH. The products were analyzed via online electrospray ionization mass spectrometry. Similar to our Fenton experiments, we detected (ISO)1-7H⁺ at pH < 4, and new m/z⁺ = 271 and m/z^- = 76 products at pH > 5.

Ausência de correlação entre a penetração do cimento AH Plus nos túbulos dentinários e a qualidade do selamento

O presente estudo objetivou testar experimentalmente a existência da possível correlação entre a penetração de cimento nos túbulos dentinários e a qualidade do selamento. Foram utilizados 60 incisivos centrais superiores humanos que formaram um único grupo experimental. Após a eliminação das porções coronárias, as raízes foram padronizadas em 13 mm de comprimento. A instrumentação dos canais foi realizada no sentido coroa-ápice, e o comprimento de trabalho estabelecido a 1 mm aquém do forame apical. Como solução irrigadora foi empregado o NaOCl a 5,25% e ao final, EDTA a 17%. Em seguida, todos os canais foram obturados com guta-percha e cimento AH Plus marcado com um corante fluorescente. Para determinar a qualidade do selamento das obturações endodônticas, as amostras foram submetidas ao modelo de infiltração de glicose sob pressão. As raízes foram montadas em um dispositivo de dupla-câmara selada para permitir a infiltração da glicose. Como controle negativo foram utilizados 4 dentes hígidos, e como controle positivo, 2 dentes instrumentados porém, não obturados. Foram utilizados 0,75 mL de solução de glicose a 1 mol/L na câmara superior e 0,75 mL de água deionizada na câmara inferior. Os dispositivos foram conectados a um sistema de distribuição de pressão desenvolvido com o objetivo de permitir a infiltração de 32 amostras em uma mesma etapa. A solução de glicose foi forçada apicalmente sob uma pressão de 15 psi durante 1 hora. Uma alíquota de 50 L foi coletada da câmara inferior para quantificar a glicose infiltrada. A concentração de glicose foi determinada através de um método enzimático com o auxílio do Kit Glucose HK e de um espectrofotômetro em um comprimento de onda de 340 nm. Na sequência, as amostras foram desacopladas dos corpos de prova, embutidas em resina epóxi e cortadas em 3 secções transversais. Uma sequência de preparação metalográfica padrão foi realizada para permitir a observação da penetração de cimento nos túbulos dentinários por meio de microscopia confocal e óptica. Os dados obtidos nos 2 experimentos foram cruzados pelo teste de correlação de Spearman, o qual revelou a inexistência de qualquer possibilidade de correlação (r = 0,12). Com base nesses resultados, o presente trabalho concluiu que, dentro das condições experimentais usadas, a quantidade de cimento presente dentro dos túbulos dentinários não teve relação com a qualidade do selamento produzido.

Free algebras in Von Neumann-Bernays-Gӧdel set theory and positive elementary inductions in reasonable structures

This thesis consists of two independent chapters. The first chapter deals with universal algebra. It is shown, in von Neumann-Bernays-Gӧdel set theory, that free images of partial algebras exist in arbitrary varieties. It follows from this, as set-complete Boolean algebras form a variety, that there exist free set-complete Boolean algebras on any class of generators. This appears to contradict a well-known result of A. Hales and H. Gaifman, stating that there is no complete Boolean algebra on any infinite set of generators. However, it does not, as the algebras constructed in this chapter are allowed to be proper classes. The second chapter deals with positive elementary inductions. It is shown that, in any reasonable structure ᶆ, the inductive closure ordinal of ᶆ is admissible, by showing it is equal to an ordinal measuring the saturation of ᶆ. This is also used to show that non-recursively saturated models of the theories ACF, RCF, and DCF have inductive closure ordinals greater than _ω.

Structure-Function Studies of Nicotinic Acetylcholine Receptors Using Selective Agonists and Positive Allosteric Modulators

This dissertation primarily describes chemical-scale studies of nicotinic acetylcholine receptors (nAChRs) in order to better understand ligand-receptor selectivity and allosteric modulation influences during receptor activation. Electrophysiology coupled with canonical and non-canonical amino acids mutagenesis is used to probe subtle changes in receptor function.

The first half of this dissertation focuses on differential agonist selectivity of α4β2-containing nAChRs. The α4β2 nAChR can assemble in alternative stoichiometries as well as assemble with other accessory subunits. Chapter 2 identifies key structural residues that dictate binding and activation of three stoichiometry-dependent α4β2 receptor ligands: sazetidine-A, cytisine, and NS9283. These do not follow previously suggested hydrogen-bonding patterns of selectivity. Instead, three residues on the complementary subunit strongly influence binding ability of a ligand and receptor activation. Chapter 3 involves isolation of a α5α4β2 receptor-enriched population to test for a potential alternative agonist binding location at the α5 α4 interface. Results strongly suggest that agonist occupation of this site is not necessary for receptor activation and that the α5 subunit only incorporates at the accessory subunit location.

The second half of this dissertation seeks to identify residue interactions with positive allosteric modulators (PAMs) of the α7 nAChR. Chapter 4 focuses on methods development to study loss of potentiation of Type I PAMs, which indicate residues vital to propagation of PAM effects and/or binding. Chapter 5 investigates α7 receptor modulation by a Type II PAM (PNU 120596). These results show that PNU 120596 does not alter the agonist binding site, thus is relegated to influencing only the gating component of activation. From this, we were able to map a potential network of residues from the agonist binding site to the proposed PNU 120596 binding site that are essential for receptor potentiation.

Análise da viabilidade celular de um monobiofilme de Streptococcus mutans após exposição a colutórios bucais presentes no mercado brasileiro

Este estudo tem como propósito analisar a eficácia de diferentes formulações de antissépticos bucais presentes no mercado brasileiro sobre um monobiofilme de Streptococcus mutans (ATCC 25175). O experimento foi realizado expondo as amostras às formulações por 1 minuto. Os biofilmes foram desenvolvidos semeando as cepas em tubos de ensaio contendo meio de cultura TSB acrescido de 1% de sacarose por 7 dias, com trocas de meio a cada 48 horas. A amostra foi dividida em grupos: monobiofilme tratado com solução contendo clorexidina (controle positivo); monobiofilme tratado com solução contendo óleos essenciais; monobiofilme tratado com solução contendo triclosan; biofilme tratado com solução contendo triclosan acrescido de cloreto de zinco; monobiofilme tratado com solução contendo cloreto de cetilpiridínio; monobiofilme tratado com solução salina fisiológica estéril (controle negativo). Para a análise do efeito pós antibiotico, as cepas foram removidas e plaqueadas imediatamente após a exposição e após 2 horas de crescimento em meio TSB. A média do crescimento bacteriano foi convertida em unidades formadoras de colônia (UFC) para análise. Para analizar a capacidade de recolonização as cepas foram inoculadas em TSB acrescido de sacarose por 48hs. os valores submetidos à análise estatística pelo teste t-student e ANOVA com modificação de Tukey e Dunnett. Os resultados nos permitem concluir que: todos os grupos tratados com antissépticos apresentaram redução das concentrações de microrganismos viáveis em relação ao controle negativo, nos dois tempos analizados. As formulações contendo triclosan e óleos essenciais não apresentaram diferença nem relação ao controle positivo e nem entre eles mesmos, também nos dois tempos. As formulações de antissépticos, contendo clorexidina, óleos essenciais, triclosan podem alterar a capacidade de recolonização do monobiofilme, neste modelo.

I. Numerical solution of exact pair equations. II. Numerical solution of first-order pair equations

Part I

Numerical solutions to the S-limit equations for the helium ground state and excited triplet state and the hydride ion ground state are obtained with the second and fourth difference approximations. The results for the ground states are superior to previously reported values. The coupled equations resulting from the partial wave expansion of the exact helium atom wavefunction were solved giving accurate S-, P-, D-, F-, and G-limits. The G-limit is -2.90351 a.u. compared to the exact value of the energy of -2.90372 a.u.

Part II

The pair functions which determine the exact first-order wavefunction for the ground state of the three-electron atom are found with the matrix finite difference method. The second- and third-order energies for the (1s1s)¹S, (1s2s)³S, and (1s2s)¹S states of the two-electron atom are presented along with contour and perspective plots of the pair functions. The total energy for the three-electron atom with a nuclear charge Z is found to be E(Z) = -1.125•Z² +1.022805•Z-0.408138-0.025515•(1/Z)+O(1/Z²)a.u.

Anomalous behaviour of photorefractive grating erasure owing to existence of both negative and positive carriers

In LiNbO3:Fe, anomalous behaviour of grating erasure is observed with different wavelenghts, i.e. rapid grating erasure in the short wavelength range, which deviates from the results predicted by the electron transport band model. The deviation is related to the coexistance of electrons and holes in photorefraction, and charge-transfer process including electrons and hole has been proposed. The electron and hole contributions to photo-excitation coefficient S of the Fe centre on the wavelength.

Polaron hopping in olivine phosphates studied by nuclear resonant scattering

Valence fluctuations of Fe²⁺ and Fe³⁺ were studied in a solid solution of Li_xFePO₄ by nuclear resonant forward scattering of synchrotron x rays while the sample was heated in a diamond-anvil pressure cell. The spectra acquired at different temperatures and pressures were analyzed for the frequencies of valence changes using the Blume-Tjon model of a system with a fluctuating Hamil- tonian. These frequencies were analyzed to obtain activation energies and an activation volume for polaron hopping. There was a large suppression of hopping frequency with pressure, giving an anomalously large activation volume. This large, positive value is typical of ion diffusion, which indicates correlated motions of polarons, and Li⁺ ions that alter the dynamics of both.

In a parallel study of Na_xFePO₄, the interplay between sodium ordering and electron mobility was investigated using a combination of synchrotron x-ray diffraction and nuclear resonant scattering. Conventional Mossbauer spectra were collected while the sample was heated in a resistive furnace. An analysis of the temperature evolution of the spectral shapes was used to identify the onset of fast electron hopping and determine the polaron hopping rate. Synchrotron x-ray diffraction measurements were carried out in the same temperature range. Reitveld analysis of the diffraction patterns was used to determine the temperature of sodium redistribution on the lattice. The diffraction analysis also provides new information about the phase stability of the system. The temperature evolution of the iron site occupancies from the Mossbauer measurements, combined with the synchrotron diffraction results give strong evidence for a relationship between the onset of fast electron dynamics and the redistribution of sodium in the lattice.

Measurements of activation barriers for polaron hopping gave fundamental insights about the correlation between electronic carriers and mobile ions. This work established that polaron-ion interactions can alter the local dynamics of electron and ion transport. These types of coupled processes may be common in many materials used for battery electrodes, and new details concerning the influence of polaron-ion interactions on the charge dynamics are relevant to optimizing their electrochemical performance.

Resistência à infiltração de glicose de quatro cimentos reparadores

O presente estudo teve como objetivo comparar a qualidade do selamento promovido por 3 cimentos reparadores endodônticos: Ceramicrete, iRoot-BP Plus e BioAggregate, com o ProRoot MTA branco, utilizando o modelo de infiltração de glicose sob pressão. 64 incisivos centrais superiores, recém-extraídos e sem tratamento endodôntico foram selecionados. A instrumentação do canal radicular foi realizada em todos os dentes com brocas Gates-Glidden e limas K-Flexofile (Dentsply Maillefer, Ballaigues Suíça), 1mm aquém do ápice. A patência foraminal foi confirmada a cada instrumento usado. Os dentes tiveram suas coroas removidas padronizando-os em 15mm de comprimento. Foi realizada apicetomia a 3mm do ápice e o preparo da cavidade retrógrada com o auxílio do ultrassom Various 350 (NSKNakanishi Inc., Tóquio, Japão) e da ponta E32D (NSKNakanishi Inc., Tóquio, Japão). As raízes foram distribuídas, randomicamente, em quatro grupos experimentais (n=15): G1Ceramicrete, G2iRoot BP Plus, G3BioAggregate e G4ProRoot MTA branco. Como controle negativo (n=2) foram utilizados dentes hígidos, e como controle positivo (n=2), dentes acessados e com patência confirmada. Os cimentos reparadores foram manipulados seguindo as recomendações do fabricante e inseridos na cavidade retrógrada utilizando a mesma ponta ultrassônica usada no preparo. As amostras foram mantidas na presença de umidade por 72h para o completo endurecimento dos materiais. As raízes foram montadas em um dispositivo de dupla-câmara selada para a infiltração da glicose. Foram utilizados 0,75ml de solução de glicose a 1Mol/L na câmara superior e 0,75ml de água destilada na câmara inferior. Os dispositivos foram conectados a um sistema de distribuição de pressão, que permitiu a infiltração de 32 amostras em uma mesma etapa. A solução de glicose foi forçada apicalmente sob uma pressão de 15psi durante 1 hora. Uma alíquota de 10l foi coletada da câmara inferior para quantificar a glicose infiltrada. A concentração de glicose foi determinada com o auxílio do Kit GlucoseHK (Megazyme, Wicklow, Irlanda) e de um espectrofotômetro de luz visível (Campsec M330, Cambridge, Reino Unido) em um comprimento de onda de 340nm. O teste não-paramétrico Kruskal-Wallis e o teste Dunns foram utilizados na análise estatística. Os resultados encontrados demonstraram que houve diferença significativa entre os grupos experimentais (p=0,0036). O BioAggregate apresentou a maior concentração de glicose-1,85(g/L), seguido do ProRoot MTA-1,2; IRoot BP-0,85 e Ceramicrete-0,75. Não houve diferença entre os três novos cimentos reparadores e o material padrão-ouro (p>0,05). Não houve diferença entre Ceramicrete e iRoot BP Plus (p>0,05), porém estes foram estatisticamente diferentes do BioAggregate (p<0,05). Diante dos resultados obtidos, pode-se concluir que: nenhum dos cimentos testados foi capaz de promover selamento hermético; os três novos cimentos testados não revelaram o mesmo padrão de selamento; os três novos cimentos testados revelaram um padrão de selamento semelhante a do ProRoot MTA branco; e o Ceramicrete e o iRoot BP Plus apresentaram padrão de selamento superior em comparação com o BioAggregate.

Vectorial solution of Kukhtarev equations for doubly doped crystals and optimal choice of recording directions in nonvolatile holographic storage

Vectorial Kukhtarev equations modified for the nonvolatile holographic recording in doubly doped crystals are analyzed, in which the bulk photovoltaic effect and the external electrical field are both considered. On the basis of small modulation approximation, both the analytic solution to the space-charge field with time in the recording phase and in the readout phase are deduced. The analytic solutions can be easily simplified to adapt the one-center model, and they have the same analytic expressions given those when the grating vector is along the optical axis. Based on the vectorial analyses of the band transport model an optimal recording direction is given to maximize the refractive index change in doubly doped LiNbO3:Fe: Mn crystals. (c) 2007 Optical Society of America.