970 resultados para conformal transformations


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Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

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We construct a centerless W-infinity type of algebra in terms of a generator of a centerless Virasoro algebra and an abelian spin 1 current. This algebra conventionally emerges in the study of pseudo-differential operators on a circle or alternatively within KP hierarchy with Watanabe's bracket. Construction used here is based on a spherical deformation of the algebra W ∞ of area preserving diffeomorphisms of a 2-manifold. We show that this deformation technique applies to the two-loop WZNW and conformal affine Toda models, establishing henceforth W ∞ invariance of these models.

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We use Hirota's method formulated as a recursive scheme to construct a complete set of soliton solutions for the affine Toda field theory based on an arbitrary Lie algebra. Our solutions include a new class of solitons connected with two different types of degeneracies encountered in Hirota's perturbation approach. We also derive an universal mass formula for all Hirota's solutions to the affine Toda model valid for all underlying Lie groups. Embedding of the affine Toda model in the conformal affine Toda model plays a crucial role in this analysis.

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ACID-BASE REACTIONS: CONCEPT, REPRESENTATION AND GENERALIZATION FROM THE ENERGY INVOLVED IN TRANSFORMATIONS. Undergraduate students on the first year of Chemistry Courses are unfamiliar with the representation of acid-base reactions using the ionic equation H+ + OH- -> H2O. A chemistry class was proposed about acid-base reactions using theory and experimental evaluation of neutralization heat to discuss the energy involved when water is formed from H+ and OH- ions. The experiment is suggested using different strong acids and strong base pairs. The presentation of the theme within a chemistry class for high school teachers increased the number of individuals that saw the acid-base reaction from this perspective.

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Up to now the raise-and-peel model was the single known example of a one-dimensional stochastic process where one can observe conformal invariance. The model has one parameter. Depending on its value one has a gapped phase, a critical point where one has conformal invariance, and a gapless phase with changing values of the dynamical critical exponent z. In this model, adsorption is local but desorption is not. The raise-and-strip model presented here, in which desorption is also nonlocal, has the same phase diagram. The critical exponents are different as are some physical properties of the model. Our study suggests the possible existence of a whole class of stochastic models in which one can observe conformal invariance.

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Introduction: Radiation therapy (RT) of malignant tumors in the head and neck area may have damaging effects on surrounding tissues. The aim of this investigation was to evaluate the effects of RI delivered by 3-dimensional conformal radiotherapy (3D-RT) or intensity-modulated radiotherapy (IMRT) on dental pulp sensitivity. Methods: Twenty patients with oral or oropharyngeal cancer receiving RT with 3D-RT or IMRT underwent cold thermal pulp sensitivity testing (PST) of 2 teeth each at 4 time points: before RT (TP1), the beginning of RT with doses between 30 and 35 Gy (TP2), the end of RT with doses between 60 and 70 Gy (TP3), and 4 to 5 months after the start of RT (TP4). Results: All 40 teeth showed positive responses to PST at TP1 (100%) and 9 at TP2 (22.5%; 3/16 [18.8%] for 3D-RT and 6/24 [25.0%] for IMRT). No tooth responded to PST at TP3 and TP4 (0%). A statistically significant difference existed in the number of positive pulp responses between different time points (TP1 through TP4) for all patients receiving RT (P <= .05), IMRT (P <= .05), and 3D-RT (P <= .05). No statistically significant differences in positive sensitivity responses were found between 3D-RT and IMRT at any time point (TP1, TP3, TP4, P = 1.0; TP2, P = .74). A statistically significant correlation existed between the location of the tumor and PST at TP2 for IMRT (P <= .05) but not for 3D-RT (P = .14). Conclusions: RT decreased the number of teeth responding to PST after doses greater than 30 to 35 Gy. The type of RT (3D-RT or IMRT) had no influence on the pulp responses to PST after the conclusion of RT. (J Endod 2012;38:148-152)

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We present a one-dimensional nonlocal hopping model with exclusion on a ring. The model is related to the Raise and Peel growth model. A nonnegative parameter u controls the ratio of the local backwards and nonlocal forwards hopping rates. The phase diagram, and consequently the values of the current, depend on u and the density of particles. In the special case of half-lling and u = 1 the system is conformal invariant and an exact value of the current for any size L of the system is conjectured and checked for large lattice sizes in Monte Carlo simulations. For u > 1 the current has a non-analytic dependence on the density when the latter approaches the half-lling value.

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Calcium tantalite (CaTa2O6) single crystal fibers were obtained by the laser-heated pedestal growth method (LHPG). At room temperature, this material can present three polymorphic modifications. The rapid crystallization inherent to the LHPG method produced samples within the Pm3 space group, with some chemical disorder. In order to check for polymorphic-induced transformations, the CaTa2O6 fibers have been submitted to different thermal treatments and investigated by micro-Raman spectroscopy. For short annealing times (15 min) at 1200 °C, the cubic modification was maintained, though with an improved crystalline quality, as evidenced by the enhanced inelastic scattered intensity (by ca. 250%) and narrowing of Raman bands. The polarized Raman spectra respected very well the predicted symmetries and the selection rules for this cubic modification. On the other hand, long annealing times (24 h) at 1200 °C led to a complete (irreversible) polymorphic transformation. The Raman bands became still more intense (ca. 15 times larger than for the as-grown fibers), narrower, and several new modes appeared. Also, the spectra became unpolarized, demonstrating a polycrystalline nature of the transformed crystals. The observed Raman modes could be fully assigned to an orthorhombic modification of CaTa2O6 belonging to the Pnma space group.

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In this thesis, mechanistic and synthetic studies on transformations of H-phosphonates into DNA analogues containing P-S or P-C bonds are described. Configurational stability of dinucleoside H-phosphonates and the stereochemical course of their sulfurisation in the presence of 1,8-diazabicyclo[5.4.0]undec-7-ene (DBU) were investigated. In light of these studies, the reported stereoselective sulfurisation of dinucleoside H-phosphonates and benzoylphosphonates in the presence of DBU was proved to be incorrect. Efficient protocols for the synthesis of new nucleotide analogues with non-ionic C-phosphonate internucleotide linkages were developed. The synthesis of dinucleoside 2-pyridylphosphonates was successfully performed by a DBU-promoted reaction of H-phosphonate diesters with N-methoxypyridinium salts. The thio analogues, 2-pyridyl- and 4-pyridyl phosphonothioate diesters, could be obtained by modifying the reactions developed for their oxo counterparts. Dinucleoside 3-pyridylphosphonates were prepared via a palladium(0)-catalysed cross coupling strategy that could be extended also to the synthesis of nucleotide analogues with metal-complexing properties, i.e. terpyridyl- and bipyridylphosphonate derivatives. Oligonucleotides modified with pyridylphosphonate internucleotide linkages have been prepared and preliminary studies on their hybridisation properties and resistance towards enzymatic degradation were performed. Finally, nucleotidic units for the incorporation of pyridylphosphonate groups at the 5’-terminus of oligonucleotides were designed. Condensations of such units with a suitably protected nucleoside afforded after oxidation the expected dinucleoside (3’-5’)-phosphates with pyridylphosphonate monoester functions at the 5’-ends.

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The main scope of this Ph.D. thesis has concerned the possible transformations of bridging ligands in diiron complexes, in order to explore unconventional routes to the synthesis of new functionalized multisite bound organic frames. The results achieved during the Ph.D. can be summarized in the following points: 1) We have extended the assembling between small unsaturated molecules and bridging carbyne ligands in diiron complexes to other species. In particular, we have investigated the coupling between olefins and thiocarbyne, leading to the synthesis of thioallylidene bridging diiron complexes. Then, we have extended the study to the coupling between olefins and aminocarbyne. This result shows that the coupling between activated olefins and heteroatom substituted bridging carbynes has a general character. 2) As we have shown, the coupling of bridging alkylidyne ligands with alkynes and alkenes provides excellent routes to the synthesis of bridging C3 hydrocarbyl ligands. As a possible extension of these results we have examined the synthesis of C4 bridging frames through the combination of bridging alkylidynes with allenes. Also in this case the reaction has a general character. 3) Diiron complexes bearing bridging functionalized C3 organic frames display the presence of donor atoms, such as N and S, potentially able to coordinate unsaturated metal fragments. Thus, we have studied the possibility for these systems to act as ‘organometallic ligands’, in particular towards Pd and Rh. 4) The possibility of releasing the organic frame from the bridging coordination appears particularly appealing in the direction of a metal-assisted organic synthesis. Within this field, we have investigated the possibility of involving the C3 bridging ligand in cycloaddition reactions with alkynes, with the aim of generating variously functionalized five-membered cycles. The [3+2] cyclization does not lead to the complete release of the organic fragment but rather it produces its transformation into a cyclopentadienyl ring, which remains coordinated to one Fe atom. This result introduces a new approach to the formation of polyfunctionalised ferrocenes. 5) Furthermore, I have spent a research period of about six months at the Department of Inorganic Chemistry of the Barcelona University, under the supervision of Prof. Concepción López, with the aim of studying the chemistry of polydentate ferrocenyl ligands and their use in organometallic synthesis.

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In questo lavoro abbiamo studiato la presenza di correzioni, dette unusuali, agli stati eccitati delle teorie conformi. Inizialmente abbiamo brevemente descritto l'approccio di Calabrese e Cardy all'entropia di entanglement nei sistemi unidimensionali al punto critico. Questo approccio permette di ottenere la famosa ed universale divergenza logaritmica di questa quantità. Oltre a questo andamento logaritmico son presenti correzioni, che dipendono dalla geometria su cui si basa l'approccio di Calabrese e Cardy, il cui particolare scaling è noto ed è stato osservato in moltissimi lavori in letteratura. Questo scaling è dovuto alla rottura locale della simmetria conforme, che è una conseguenza della criticità del sistema, intorno a particolari punti detti branch points usati nell'approccio di Calabrese e Cardy. In questo lavoro abbiamo dimostrato che le correzioni all'entropia di entanglement degli stati eccitati della teoria conforme, che può anch'essa essere calcolata tramite l'approccio di Calabrese e Cardy, hanno lo stesso scaling di quelle osservate negli stati fondamentali. I nostri risultati teorici sono stati poi perfettamente confermati dei calcoli numerici che abbiamo eseguito sugli stati eccitati del modello XX. Sono stati inoltre usati risultati già noti per lo stato fondamentale del medesimo modello per poter studiare la forma delle correzioni dei suoi stati eccitati. Questo studio ha portato alla conclusione che la forma delle correzioni nei due differenti casi è la medesima a meno di una funzione universale.

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Eine zielgerichtete Steuerung und Durchführung von organischen Festkörperreaktionen wird unter anderem durch genaue Kenntnis von Packungseffekten ermöglicht. Im Rahmen dieser Arbeit konnte durch den kombinierten Einsatz von Einkristallröntgenanalyse und hochauf-lösender Festkörper-NMR an ausgewählten Beispielen ein tieferes Verständnis und Einblicke in die Reaktionsmechanismen von organischen Festkörperreaktionen auf molekularer Ebene gewonnen werden. So konnten bei der topotaktischen [2+2] Photodimerisierung von Zimt-säure Intermediate isoliert und strukturell charakterisiert werden. Insbesondere anhand statischer Deuteronen- und 13C-CPMAS NMR Spektren konnten eindeutig dynamische Wasserstoffbrücken nachgewiesen werden, die transient die Zentrosymmetrie des Reaktions-produkts aufheben. Ein weiterer Nachweis gelang daraufhin mittels Hochtemperatur-Röntgen-untersuchung, sodass der scheinbare Widerspruch von NMR- und Röntgenuntersuchungen gelöst werden konnte. Eine Veresterung der Zimtsäure entfernt diese Wasserstoffbrücken und erhält somit die Zentrosymmetrie des Photodimers. Weiterhin werden Ansätze zur Strukturkontrolle in Festkörpern basierend auf der molekularen Erkennung des Hydroxyl-Pyridin (OH-N) Heterosynthon in Co-Kristallen beschrieben, wobei vor allem die Stabilität des Synthons in Gegenwart funktioneller Gruppen mit Möglichkeit zu kompetetiver Wasserstoffbrückenbildung festgestellt wurde. Durch Erweiterung dieses Ansatzes wurde die molekulare Spezifität des Hydroxyl-Pyridin (OH-N) Heterosynthons bei gleichzeitiger Co-Kristallisation mit mehreren Komponenten erfolgreich aufgezeigt. Am Beispiel der Co-Kristallisation von trans--1,2-bis(4-pyridyl)ethylen (bpe) mit Resorcinol (res) in Gegenwart von trans-1,2-bis(4-pyridyl)ethan (bpet) konnten Zwischenprodukte der Fest-körperreaktionen und neuartige Polymorphe isoliert werden, wobei eine lückenlose Aufklärung des Reaktionswegs mittels Röntgenanalyse gelang. Dabei zeigte sich, dass das Templat Resorcinol aus den Zielverbindungen entfernbar ist. Ferner gelang die Durchführung einer seltenen, nicht-idealen Einkristall-Einkristall-Umlagerung von trans--1,2-bis(4-pyridyl)ethylen (bpe) mit Resorcinol (res). In allen Fällen konnten die Fragen zur Struktur und Dynamik der untersuchten Verbindungen nur durch gemeinsame Nutzung von Röntgenanalyse und NMR-Spektroskopie bei vergleichbaren Temperaturen eindeutig und umfassend geklärt werden.

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In dieser Arbeit wurde eine neue Methode zur asymmetrischen Substitution der K-Regionen von Pyren entwickelt, auf welcher das Design und die Synthese von neuartigen, Pyren-basierten funktionalen Materialien beruht. Eine Vielzahl von Substitutionsmustern konnte erfolgreich realisiert werden um die Eigenschaften entsprechend dem Verwendungszweck anzupassen. Der polyzyklische aromatische Kohlenwasserstoff (PAK) Pyren setzt sich aus vier Benzolringen in Form einer planaren Raute mit zwei gegenüberliegenden K-Regionen zusammen. Der synthetische Schlüsselschritt dieser Arbeit ist die chemische Transformation der einen K-Region zu einem α-Diketon und der darauffolgenden selektiven Bromierung der zweiten K-Region. Dieser asymmetrisch funktionalisierte Baustein zeichnet sich durch zwei funktionelle Gruppen mit orthogonaler Reaktivität aus und erweitert dadurch das Arsenal der etablierten Pyren Chemie um eine vielseitig einsetzbare Methode. Aufbauend auf diesem synthetischen Zugang wurden fünf wesentliche Konzepte auf dem Weg zu neuen, von Pyren abgeleiteten Materialen verfolgt: (i) Asymmterische Substitution mit elektronenziehenden versus -schiebenden Gruppen. (ii) Darstellung von Pyrenocyaninen durch Anbindung von Pyren mit einer der K-Regionen an das Phthalocyanin Gerüst zur Ausdehnung des π-Systems. (iii) Einführung von Thiophen an die K-Region um halbleitende Eigenschaften zu erhalten. (iv) Symmetrische Annullierung von PAKs wie Benzodithiophen und Phenanthren an beide K Regionen für cove-reiche und dadurch nicht-planare Strukturen. (v) Verwendung des K-Region-funktionalisierten Pyrens als Synthesebaustein für das Peri-Pentacen. Neben der Synthese wurde die Selbstorganisation in der Festphase und an der flüssig/fest Grenzfläche mittels zweidimensionaler Weitwinkel-Röntgenstreuung (2D WAXS) bzw. Rastertunnelmikroskopie (STM) untersucht. Die halbleitenden Eigenschaften wurden in organischen Feld-Effekt Transistoren (OFETs) charakterisiert.

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To prospectively assess quality of life (QoL) in patients receiving conformal radiation therapy (CRT) for prostate cancer.