Some modified bifurcation problems with application to imperfection sensitivity in buckling

The branching theory of solutions of certain nonlinear elliptic partial differential equations is developed, when the nonlinear term is perturbed from unforced to forced. We find families of branching points and the associated nonisolated solutions which emanate from a bifurcation point of the unforced problem. Nontrivial solution branches are constructed which contain the nonisolated solutions, and the branching is exhibited. An iteration procedure is used to establish the existence of these solutions, and a formal perturbation theory is shown to give asymptotically valid results. The stability of the solutions is examined and certain solution branches are shown to consist of minimal positive solutions. Other solution branches which do not contain branching points are also found in a neighborhood of the bifurcation point.

The qualitative features of branching points and their associated nonisolated solutions are used to obtain useful information about buckling of columns and arches. Global stability characteristics for the buckled equilibrium states of imperfect columns and arches are discussed. Asymptotic expansions for the imperfection sensitive buckling load of a column on a nonlinearly elastic foundation are found and rigorously justified.

Preparation, characterization and intramolecular electron-transfer studies of ruthenium-modified cytochromes c

Redox-active ruthenium complexes have been covalently attached to the surface of a series of natural, semisynthetic and recombinant cytochromes c. The protein derivatives were characterized by a variety of spectroscopic techniques. Distant Fe^(2+) - Ru^(3+) electronic couplings were extracted from intramolecular electron-transfer rates in Ru(bpy)_2(im)HisX (where X= 33, 39, 62, and 72) derivatives of cyt c. The couplings increase according to 62 (0.0060) < 72 (0.057) < 33 (0.097) < 39 (0.11 cm^(-1)); however, this order is incongruent with histidine to heme edge-edge distances [62 (14.8) > 39 (12.3) > 33 (11.1) > =72 (8.4 Å)]. These results suggest the chemical nature of the intervening medium needs to be considered for a more precise evaluation of couplings. The rates (and couplings) correlate with the lengths of a-tunneling pathways comprised of covalent bonds, hydrogen bonds and through-space jumps from the histidines to the heme group. Space jumps greatly decrease couplings: one from Pro71 to Met80 extends the σ-tunneling length of the His72 pathway by roughly 10 covalent bond units. Experimental couplings also correlate well with those calculated using extended Hiickel theory to evaluate the contribution of the intervening protein medium.

Two horse heart cyt c variants incorporating the unnatural amino acids (S)-2- amino-3-(2,2'-bipyrid-6-yl)-propanoic acid (6Bpa) and (S)-2-amino-3-(2,2'-bipyrid-4-yl)propanoic acid ( 4Bpa) at position 72 have been prepared using semisynthetic protocols. Negligible perturbation of the protein structure results from this introduction of unnatural amino acids. Redox-active Ru(2,2'-bipyridine)_2^(2+) binds to 4Bpa72 cyt c but not to the 6Bpa protein. Enhanced ET rates were observed in the Ru(bpy)_2^(2+)-modified 4Bpa72 cyt c relative to the analogous His72 derivative. The rapid (< 60 nanosecond) photogeneration of ferrous Ru-modified 4Bpa72 cyt c in the conformationally altered alkaline state demonstrates that laser-induced ET can be employed to study submicrosecond protein-folding events.

Measurement of the band bending and surface dipole at chemically functionalized Si(111)/vacuum interfaces

The core-level energy shifts observed using X-ray photoelectron spectroscopy (XPS) have been used to determine the band bending at Si(111) surfaces terminated with Si-Br, Si-H, and Si-CH₃ groups, respectively. The surface termination influenced the band bending, with the Si 2p_3/2 binding energy affected more by the surface chemistry than by the dopant type. The highest binding energies were measured on Si(111)-Br (whose Fermi level was positioned near the conduction band at the surface), followed by Si(111)-H, followed by Si(111)-CH₃ (whose Fermi level was positioned near mid-gap at the surface). Si(111)-CH₃ surfaces exposed to Br₂(g) yielded the lowest binding energies, with the Fermi level positioned between mid-gap and the valence band. The Fermi level position of Br₂(g)-exposed Si(111)-CH₃ was consistent with the presence of negatively charged bromine-containing ions on such surfaces. The binding energies of all of the species detected on the surface (C, O, Br) shifted with the band bending, illustrating the importance of isolating the effects of band bending when measuring chemical shifts on semiconductor surfaces. The influence of band bending was confirmed by surface photovoltage (SPV) measurements, which showed that the core levels shifted toward their flat-band values upon illumination. Where applicable, the contribution from the X-ray source to the SPV was isolated and quantified. Work functions were measured by ultraviolet photoelectron spectroscopy (UPS), allowing for calculation of the sign and magnitude of the surface dipole in such systems. The values of the surface dipoles were in good agreement with previous measurements as well as with electronegativity considerations. The binding energies of the adventitious carbon signals were affected by band bending as well as by the surface dipole. A model of band bending in which charged surface states are located exterior to the surface dipole is consistent with the XPS and UPS behavior of the chemically functionalized Si(111) surfaces investigated herein.

Sterochemically modified polyamides for recognition in the minor groove of DNA

The design of synthetic molecules that recognize specific sequences of DNA is an ongoing challenge in molecular medicine. Cell-permeable small molecules targeting predetermined DNA sequences offer a potential approach for offsetting the abnormal effects of misregulated gene-expression. Over the past twenty years, Professor Peter B. Dervan has developed a set of pairing rules for the rational design of minor groove binding polyamides containing pyrrole (Py), imidazole (Im), and hydroxypyrrole (Hp). Polyamides have illustrated the capability to permeate cells and inhibit transcription of specific genes in vivo. This provides impetus to identify structural elements that expand the repetoire of polyamide motifs with recognition properties comparable to naturally occurring DNA binding proteins. Through the introduction of chiral amino acids, we have developed chiral polyamides with stereochemically regulated binding characteristics. In addition, chiral substituents have facilitated the development of new polyamide motifs that broaden binding site sizes targetable by this class of ligands.

Synthesis and spectroscopy of ruthenium-modified nucleic acids

Redox-active probes are designed and prepared for use in DNA-mediated electron transfer studies. These probes consist of ruthenium(II) complexes bound to nucleosides that possess metal-binding ligands. Low- and high-potential oxidants are synthesized from these modified nucleosides and display reversible one-electron electrochemical behavior. The ruthenium-modified nucleosides exhibit distinct charge-transfer transitions in the visible region that resemble those of appropriate model complexes. Resonance Raman and time-resolved emission spectroscopy are used to characterize the nature of these transitions.

The site-specific incorporation of these redox-active probes into oligonucleotides is explored using post-synthetic modification and solid-phase synthetic methods. The preparation of the metal-binding nucleosides, their incorporation into oligonucleotides, and characterization of the resulting oligonucleotides is described. Because the insertion of these probes into modified oligonucleotides using post-synthetic modification is unsuccessful, solid-phase synthetic methods are explored. These efforts lead to the first report of 3'-metallated oligonucleotides prepared completely by automated solid-phase synthesis. Preliminary efforts to prepare a bis-metallated oligonucleotide by automated synthesis are described.

The electrochemical, absorption, and emissive features of the ruthenium-modified oligonucleotides are unchanged from those of the precursor metallonucleoside. The absence of any change in these properties upon incorporation into oligonucleotides and subsequent hybridization suggests that the incorporated ruthenium(II) complex is a valuable probe for DNA-mediated electron transfer studies.

Modified formula of Malus' law for Glan-Taylor polarizing prisms

A simple three-axis model has been developed, which has been successfully applied to the analysis of the light transmittance in spatial incident angle and the simulation of modified formula of Malus' law for Glan-Taylor prisms. Our results indicate that the fluctuations on the cosine squared curve are due to specific misalignments between the axis of the optical system, the optical axis of the prism and the mechanical axis (rotation axis) of prism, which results in the fact that different initial relative location of the to-be-measured-prism in the testing system corresponds to different shape of Malus' law curve. Methods to get absolutely smooth curve are proposed. This analysis is available for other kinds of Glan-type prisms. (C) 2004 Elsevier B.V. All rights reserved.

Polymerization of functionalized olefins with neutral group ten catalysts

This thesis describes the preparation, characterization, and application of welldefined single-component group ten salicylaldimine complexes for the polymerization of ethylene to high molecular weight materials as well as the copolymerization of ethylene and functionalized olefins. After an initial introduction to the field, Chapter 2 describes the preparation of PPh₃ complexes that contain a series of modified salicylaldimine and naphthaldimine ligands. Such complexes were activated for polymerization by the addition of cocatalysts such as Ni(COD)₂ or B(C₆F₅)₃. As the steric demand of the ligand set increased-the molecular weight, polymerization activity, and lifetime of the catalyst was observed to increase. In fact, complexes containing "bulky" ligands, such as the [^Anthr,HSal] ligand (2.5), were found to be highly-active single component complexes for the polymerization of ethylene. Model hydrido compound were prepared-allowing for a better understanding of both the mechanism of polymerization and one mode of decomposition.

Chapter 3 describes the effect which additives play on neutral Ni^II polymerization catalysts such as 2.5. The addition of excess ethers, esters, ketones, anhydrides, alcohols, and water do not deactivate the catalysts for polymerization. However, the addition of excess acid, thiols, and phosphines was observed to shut-down catalysis. Since excess phosphine was found to inhibit catalysis, "phosphine-free" complexes, such as the acetonittile complex (3.26), were prepared. The acetonitrile complex was found to be the most active neutral polymerization catalyst prepared to date.

Chapter 4 outlines the use of catalyst 2.5 and 3.26 for the preparation of linear functionalized copolymers containing alcohols, esters, anhydrides, and ethers. Copolymers can be prepared with γ-functionalized-α-olefins, functionalized norbornenes, and functionalized tricyclononenes, with up to 30 mol% comonomer incorporation.

Chapter 5 outlines the preparation of a series of Pt^II alkyl/olefin salicylaldimine complexes which serve as models for the active species in the Ni^II-catalyzed polymerization process. Understanding the nature of the M-olefin interaction as a the electronic and steric properties of the salicylaldimine ligand is varied has allowed for a number of predictions about the design of future polymerization systems.

Infrared luminescence properties of bismuth-doped barium silicate glasses

Infrared (IR) luminescence covering 1.1 to similar to 1.6 mu m wavelength region was observed from bismuth-doped barium silicate glasses, excited by a laser diode at 808 nm wavelength region, at room temperature. The peak of the IR luminescence appears at 1325 nm. A full width half-maximum (FWHM) and the lifetime of the fluorescence is more than 200 nm and 400 mu s, respectively. The fluorescence intensity increases with Al2O3 content, but decreases with BaO content. We suggest that the IR luminescence should be ascribed to the low valence state of bismuth Bi2+ or Bi+, and Al3+ ions play an indirect dispersing role for the infrared luminescent centers.

Síntese, caracterização e avaliação da capacidade bactericida de copolímeros à base de 2-vinilpiridina funcionalizados

Neste trabalho, dois copolímeros à base de 2-vinilpiridina (2Vpy), estireno (Sty) e divinilbenzeno (DVB) foram sintetizados empregando a técnica de polimerização em suspensão aquosa via radical livre. Os copolímeros com diferentes características morfológicas foram preparados variando a composição da mistura diluente, constituída por tolueno e n-heptano, solventes solvatantes e não solvatantes para as cadeias poliméricas. A caracterização estrutural desses materiais foi feita através de medidas de área específica, volume de poros, diâmetro médio de poros e densidade aparente. Além disso, esses materiais foram avaliados por microscopia ótica e eletrônica de varredura, por espectroscopia na região do infravermelho (FTIR), análise termogravimétrica (TGA) e análise elementar. Os copolímeros Sty-DVB-2Vpy foram modificados quimicamente através de reação de quaternização das unidades de 2Vpy usando dois reagentes: iodeto de metila e acrilonitrila. A quaternização dos copolímeros Sty-DVB-2Vpy foi confirmada através de espectroscopia de infravermelho, pelo aparecimento das bandas de absorção características do íon peridíneo e do grupo nitrila e também pela análise do comportamento térmico. Os produtos dessas reações foram submetidos à avaliação da capacidade bactericida através do método de contagem em placas contra suspensão de Escherichia coli. O copolímero do tipo gel quaternizado com iodeto de metila apresentou a maior ação bactericida registrada, com eficiência até a concentração de 104 células/mL. Contudo, a maioria dos materiais quaternizados não apresentou ação biocida significativa. Com o objetivo de maximizar a atividade bactericida dos materiais preparados, os copolímeros quaternizados e não quaternizados foram impregnados com iodo por meio de duas metodologias: em solução e em fase vapor. O teor de iodo incorporado foi quantificado por análise gravimétrica. Foi possível observar que os copolímeros quaternizados e impregnados com iodo se mostraram mais eficientes como agentes bactericidas que os copolímeros não funcionalizados impregnados com iodo. De uma forma geral, foi possível perceber que a ação bactericida dos polímeros é fruto da associação entre as suas características de porosidade, o grau de quaternização alcançado e o teor de iodo incorporado. Para efeito de comparação foram feitos também ensaios bactericidas com uma resina comercial à base de Sty-DVB com grupo amônio quaternário, VP OC 1950. Os testes mostraram que a resina comercial não possui atividade bactericida. A impregnação de iodo a essa resina comercial forneceu um material com ação biocida semelhante à do copolímero do tipo gel, quaternizado com iodeto de metila e impregnado com iodo

A técnica da reação em cadeia de polimerase para diagnóstico de tuberculose : meta-análise de estudos publicados

A tuberculose (TB) é uma doença infecto-contagiosa causada pelo complexo Mycobacteruim tuberculosis. A melhor forma de prevenção se baseia na detecção e na cura dos casos. Um diagnóstico acurado de TB seria essencial para a identificação e tratamento dos pacientes. O diagnóstico laboratorial recomendado baseia-se na baciloscopia e na cultura de material clínico. Novos métodos, os quais empregam técnica genética baseada na amplificação e detecção do DNA bacteriano ou do RNA, visam melhorar a velocidade, sensibilidade e especificidade da detecção da bactéria. O principal teste desse grupo é o método da reação da cadeia da polimerase (PCR). Entretanto, há discordância na literatura quanto as dados de validade da PCR aplicada ao diagnóstico de tuberculose. O presente estudo realizou uma meta-análise sobre o teste da PCR no diagnóstico de TB. O método estatístico usado estimou efeitos do teste entre os estudos primários. A sensibilidade e a especificidade foram calculadas de acordo com as suas definições: Sensibilidade = TPR, taxa de verdadeiros positivos e Especificidade = 1 FPR, onde FPR = taxa de falsos positivos. Calculamos os logit de TPR e FPR a soma e suas diferenças e fizemos uma back transformação aos eixos de TPR vs. FPR com posterior construção da curva SROC (Moses & Shapiro, 1993). A curva SROC representa uma estimativa da medida de acurácia do teste índice a qual é ajustada pelo ponto de corte tanto quanto pela interdependência dos valores de sensibilidade e especificidade obtidos de cada estudo. Foram localizados 1375 artigos através de busca base de dados do Medline no período de 1988 a 2000. Considerando os critérios de elegibilidade, foram aceitos 111 artigos. A caracterização dos estudos, a validade e a sua aplicabilidade foram apreciadas. A medida combinada de todos os estudos foi de 0,86 para a sensibilidade e 0,95 para a especificidade usando-se o método de efeitos aleatórios. A PCR in-house apresentou melhor performance do que a Amplicor. O AMTD obteve os maiores valores de acurácia possivelmente devido o rRNA apresentar múltiplas cópias por célula. Diante das evidências, a PCR se constitui num teste complementar para tuberculose devendo ter critérios próprios para a sua utilização. No entanto, este teste não contempla os atributos requeridos para a substituição da baciloscopia na rotina diagnóstica.

Microstructure control and iodine doping of bismuth telluride

On the materials scale, thermoelectric efficiency is defined by the dimensionless figure of merit zT. This value is made up of three material components in the form zT = Tα²/ρκ, where α is the Seebeck coefficient, ρ is the electrical resistivity, and κ is the total thermal conductivity. Therefore, in order to improve zT would require the reduction of κ and ρ while increasing α. However due to the inter-relation of the electrical and thermal properties of materials, typical routes to thermoelectric enhancement come in one of two forms. The first is to isolate the electronic properties and increase α without negatively affecting ρ. Techniques like electron filtering, quantum confinement, and density of states distortions have been proposed to enhance the Seebeck coefficient in thermoelectric materials. However, it has been difficult to prove the efficacy of these techniques. More recently efforts to manipulate the band degeneracy in semiconductors has been explored as a means to enhance α.

The other route to thermoelectric enhancement is through minimizing the thermal conductivity, κ. More specifically, thermal conductivity can be broken into two parts, an electronic and lattice term, κ_e and κ_l respectively. From a functional materials standpoint, the reduction in lattice thermal conductivity should have a minimal effect on the electronic properties. Most routes incorporate techniques that focus on the reduction of the lattice thermal conductivity. The components that make up κ_l (κ_l = 1/3Cνl) are the heat capacity (C), phonon group velocity (ν), and phonon mean free path (l). Since the difficulty is extreme in altering the heat capacity and group velocity, the phonon mean free path is most often the source of reduction.

Past routes to decreasing the phonon mean free path has been by alloying and grain size reduction. However, in these techniques the electron mobility is often negatively affected because in alloying any perturbation to the periodic potential can cause additional adverse carrier scattering. Grain size reduction has been another successful route to enhancing zT because of the significant difference in electron and phonon mean free paths. However, grain size reduction is erratic in anisotropic materials due to the orientation dependent transport properties. However, microstructure formation in both equilibrium and nonequilibrium processing routines can be used to effectively reduce the phonon mean free path as a route to enhance the figure of merit.

This work starts with a discussion of several different deliberate microstructure varieties. Control of the morphology and finally structure size and spacing is discussed at length. Since the material example used throughout this thesis is anisotropic a short primer on zone melting is presented as an effective route to growing homogeneous and oriented polycrystalline material. The resulting microstructure formation and control is presented specifically in the case of In₂Te₃-Bi₂Te₃ composites and the transport properties pertinent to thermoelectric materials is presented. Finally, the transport and discussion of iodine doped Bi₂Te₃ is presented as a re-evaluation of the literature data and what is known today.

Part I. Energy straggling of ^4He below 2.0 MeV in Al, Ni, Au and Pt. Part II. Studies of the Ti-W metallization system on Si

Part I.

In recent years, backscattering spectrometry has become an important tool for the analysis of thin films. An inherent limitation, though, is the loss of depth resolution due to energy straggling of the beam. To investigate this, energy straggling of ⁴He has been measured in thin films of Ni, Al, Au and Pt. Straggling is roughly proportional to square root of thickness, appears to have a slight energy dependence and generally decreases with decreasing atomic number of the adsorber. The results are compared with predictions of theory and with previous measurements. While Ni measurements are in fair agreement with Bohr's theory, Al measurements are 30% above and Au measurements are 40% below predicted values. The Au and Pt measurements give straggling values which are close to one another.

Part II.

MeV backscattering spectrometry and X-ray diffraction are used to investigate the behavior of sputter-deposited Ti-W mixed films on Si substrates. During vacuum anneals at temperatures near 700°C for several hours, the metallization layer reacts with the substrate. Backscattering analysis shows that the resulting compound layer is uniform in composition and contains Ti, Wand Si. The Ti:W ratio in the compound corresponds to that of the deposited metal film. X-ray analyses with Reed and Guinier cameras reveal the presence of the ternary Ti_xW_(1-x)Si₂ compound. Its composition is unaffected by oxygen contamination during annealing, but the reaction rate is affected. The rate measured on samples with about 15% oxygen contamination after annealing is linear, of the order of 0.5 Å per second at 725°C, and depends on the crystallographic orientation of the substrate and the dc bias during sputter-deposition of the Ti-W film.

Au layers of about 1000 Å thickness were deposited onto unreacted Ti-W films on Si. When annealed at 400°C these samples underwent a color change,and SEM micrographs of the samples showed that an intricate pattern of fissures which were typically 3µm wide had evolved. Analysis by electron microprobe revealed that Au had segregated preferentially into the fissures. This result suggests that Ti-W is not a barrier to Au-Si intermixing at 400°C.

Avaliação da qualidade da assistência perinatal : um exercício

A relação da qualidade da prática médica assistencial com os indicadores de saúde tem sido objeto de controvérsia. A possibilidade de avaliar o estado de saúde do recém-nascido em função do cuidado recebido, facilita o estudo desta relação, principalmente na área perinatal onde a expectativa é o nascimento de um bebê saudável ao final de uma gestação sem fatores de riscos acompanhados segundo as normas obstétricas vigentes. Neste estudo, examina-se a adequação do acompanhamento do trabalho de parto em uma maternidade pública do Estado do Rio de Janeiro, sob a ótica de avaliação de qualidade pela abordagem de processos e resultados através de critérios explícitos supondo que os fatores selecionados como componentes do processo de assistência ao trabalho de parto determinariam o resultado. Observa-se tais relações através da metodologia epidemiológica optando por um estudo caso-referente ou um estudo caso-controle, com definição primária da base. Selecionou-se como determinantes da qualidade da prática obstétrica intraparto a duração do trabalho de parto, percepção de alterações durante o trabalho de parto, prontidão para intervenção, número de exames realizados e intervalo entre o último exame e hora do parto. O resultado neonatal adverso caracterizou-se por óbito intra-útero, óbito neonatal e presença de um conjunto de sinais clínicos anormais no período neonatal imediato, com alto valor preditivo para o futuro dano neurológico. O risco de um resultado adverso foi estimado pela razão dos produtos cruzados aodds ratio (OR) numa população de 34 casos e 124 controles. A duração do trabalho de parto maior que doze horas esteve associada a um OR igual a 3,48 (1,28-9,43), idade da gestante, dilatação cervical do colo uterino à admissão e peso ao nascer modificaram o efeito desta associação, que também foi confundida pela paridade e pelo uso da ocitocina contrariando hipótese inicial. A percepção de alterações resultou num OR= 14,73 (4.24-54,27) e, à medida que o tempo de intervenção se prolongava os riscos aumentavam obedecendo a uma tendência linear. Discutem-se as dificuldades de aplicação metodologia epidemiológica ao campo da avaliação da qualidade, essencialmente no que se refere as exigências quantitativas, para garantir precisão e confiabilidade. A observação da interação e o controle do confundimento apontam o cuidado necessário nos trabalhos desta natureza para alcançar consistência e validade.