964 resultados para single-state oxygen
Resumo:
The obtaining of multiferroic BiFeO3 as a pure single-phase product is particularly complex since the formation of secondary phases seems to be unavoidable. The process by which these secondary impurities are formed is studied by analyzing the diffusion and solid state reactivity of the Bi2O3?Fe2O3 system. Experimental evidence is reported which indicates that the progressive diffusion of Bi3+ ions into the Fe2O3 particles governs the solid state synthesis of the perovskite BiFeO3 phase. However a competition is established between the diffusion process which tends to complete the formation of BiFeO3, and the crystallization of stable Bi2Fe4O9 mullite crystals, which tend to block that formation reaction.
Resumo:
Las fuentes de alimentación de modo conmutado (SMPS en sus siglas en inglés) se utilizan ampliamente en una gran variedad de aplicaciones. La tarea más difícil para los diseñadores de SMPS consiste en lograr simultáneamente la operación del convertidor con alto rendimiento y alta densidad de energía. El tamaño y el peso de un convertidor de potencia está dominado por los componentes pasivos, ya que estos elementos son normalmente más grandes y más pesados que otros elementos en el circuito. Para una potencia de salida dada, la cantidad de energía almacenada en el convertidor que ha de ser entregada a la carga en cada ciclo de conmutación, es inversamente proporcional a la frecuencia de conmutación del convertidor. Por lo tanto, el aumento de la frecuencia de conmutación se considera un medio para lograr soluciones más compactas con los niveles de densidad de potencia más altos. La importancia de investigar en el rango de alta frecuencia de conmutación radica en todos los beneficios que se pueden lograr: además de la reducción en el tamaño de los componentes pasivos, el aumento de la frecuencia de conmutación puede mejorar significativamente prestaciones dinámicas de convertidores de potencia. Almacenamiento de energía pequeña y el período de conmutación corto conducen a una respuesta transitoria del convertidor más rápida en presencia de las variaciones de la tensión de entrada o de la carga. Las limitaciones más importantes del incremento de la frecuencia de conmutación se relacionan con mayores pérdidas del núcleo magnético convencional, así como las pérdidas de los devanados debido a los efectos pelicular y proximidad. También, un problema potencial es el aumento de los efectos de los elementos parásitos de los componentes magnéticos - inductancia de dispersión y la capacidad entre los devanados - que causan pérdidas adicionales debido a las corrientes no deseadas. Otro factor limitante supone el incremento de las pérdidas de conmutación y el aumento de la influencia de los elementos parásitos (pistas de circuitos impresos, interconexiones y empaquetado) en el comportamiento del circuito. El uso de topologías resonantes puede abordar estos problemas mediante el uso de las técnicas de conmutaciones suaves para reducir las pérdidas de conmutación incorporando los parásitos en los elementos del circuito. Sin embargo, las mejoras de rendimiento se reducen significativamente debido a las corrientes circulantes cuando el convertidor opera fuera de las condiciones de funcionamiento nominales. A medida que la tensión de entrada o la carga cambian las corrientes circulantes incrementan en comparación con aquellos en condiciones de funcionamiento nominales. Se pueden obtener muchos beneficios potenciales de la operación de convertidores resonantes a más alta frecuencia si se emplean en aplicaciones con condiciones de tensión de entrada favorables como las que se encuentran en las arquitecturas de potencia distribuidas. La regulación de la carga y en particular la regulación de la tensión de entrada reducen tanto la densidad de potencia del convertidor como el rendimiento. Debido a la relativamente constante tensión de bus que se encuentra en arquitecturas de potencia distribuidas los convertidores resonantes son adecuados para el uso en convertidores de tipo bus (transformadores cc/cc de estado sólido). En el mercado ya están disponibles productos comerciales de transformadores cc/cc de dos puertos que tienen muy alta densidad de potencia y alto rendimiento se basan en convertidor resonante serie que opera justo en la frecuencia de resonancia y en el orden de los megahercios. Sin embargo, las mejoras futuras en el rendimiento de las arquitecturas de potencia se esperan que vengan del uso de dos o más buses de distribución de baja tensión en vez de una sola. Teniendo eso en cuenta, el objetivo principal de esta tesis es aplicar el concepto del convertidor resonante serie que funciona en su punto óptimo en un nuevo transformador cc/cc bidireccional de puertos múltiples para atender las necesidades futuras de las arquitecturas de potencia. El nuevo transformador cc/cc bidireccional de puertos múltiples se basa en la topología de convertidor resonante serie y reduce a sólo uno el número de componentes magnéticos. Conmutaciones suaves de los interruptores hacen que sea posible la operación en las altas frecuencias de conmutación para alcanzar altas densidades de potencia. Los problemas posibles con respecto a inductancias parásitas se eliminan, ya que se absorben en los Resumen elementos del circuito. El convertidor se caracteriza con una muy buena regulación de la carga propia y cruzada debido a sus pequeñas impedancias de salida intrínsecas. El transformador cc/cc de puertos múltiples opera a una frecuencia de conmutación fija y sin regulación de la tensión de entrada. En esta tesis se analiza de forma teórica y en profundidad el funcionamiento y el diseño de la topología y del transformador, modelándolos en detalle para poder optimizar su diseño. Los resultados experimentales obtenidos se corresponden con gran exactitud a aquellos proporcionados por los modelos. El efecto de los elementos parásitos son críticos y afectan a diferentes aspectos del convertidor, regulación de la tensión de salida, pérdidas de conducción, regulación cruzada, etc. También se obtienen los criterios de diseño para seleccionar los valores de los condensadores de resonancia para lograr diferentes objetivos de diseño, tales como pérdidas de conducción mínimas, la eliminación de la regulación cruzada o conmutación en apagado con corriente cero en plena carga de todos los puentes secundarios. Las conmutaciones en encendido con tensión cero en todos los interruptores se consiguen ajustando el entrehierro para obtener una inductancia magnetizante finita en el transformador. Se propone, además, un cambio en los señales de disparo para conseguir que la operación con conmutaciones en apagado con corriente cero de todos los puentes secundarios sea independiente de la variación de la carga y de las tolerancias de los condensadores resonantes. La viabilidad de la topología propuesta se verifica a través una extensa tarea de simulación y el trabajo experimental. La optimización del diseño del transformador de alta frecuencia también se aborda en este trabajo, ya que es el componente más voluminoso en el convertidor. El impacto de de la duración del tiempo muerto y el tamaño del entrehierro en el rendimiento del convertidor se analizan en un ejemplo de diseño de transformador cc/cc de tres puertos y cientos de vatios de potencia. En la parte final de esta investigación se considera la implementación y el análisis de las prestaciones de un transformador cc/cc de cuatro puertos para una aplicación de muy baja tensión y de decenas de vatios de potencia, y sin requisitos de aislamiento. Abstract Recently, switch mode power supplies (SMPS) have been used in a great variety of applications. The most challenging issue for designers of SMPS is to achieve simultaneously high efficiency operation at high power density. The size and weight of a power converter is dominated by the passive components since these elements are normally larger and heavier than other elements in the circuit. If the output power is constant, the stored amount of energy in the converter which is to be delivered to the load in each switching cycle is inversely proportional to the converter’s switching frequency. Therefore, increasing the switching frequency is considered a mean to achieve more compact solutions at higher power density levels. The importance of investigation in high switching frequency range comes from all the benefits that can be achieved. Besides the reduction in size of passive components, increasing switching frequency can significantly improve dynamic performances of power converters. Small energy storage and short switching period lead to faster transient response of the converter against the input voltage and load variations. The most important limitations for pushing up the switching frequency are related to increased conventional magnetic core loss as well as the winding loss due to the skin and proximity effect. A potential problem is also increased magnetic parasitics – leakage inductance and capacitance between the windings – that cause additional loss due to unwanted currents. Higher switching loss and the increased influence of printed circuit boards, interconnections and packaging on circuit behavior is another limiting factor. Resonant power conversion can address these problems by using soft switching techniques to reduce switching loss incorporating the parasitics into the circuit elements. However the performance gains are significantly reduced due to the circulating currents when the converter operates out of the nominal operating conditions. As the input voltage or the load change the circulating currents become higher comparing to those ones at nominal operating conditions. Multiple Input-Output Many potential gains from operating resonant converters at higher switching frequency can be obtained if they are employed in applications with favorable input voltage conditions such as those found in distributed power architectures. Load and particularly input voltage regulation reduce a converter’s power density and efficiency. Due to a relatively constant bus voltage in distributed power architectures the resonant converters are suitable for bus voltage conversion (dc/dc or solid state transformation). Unregulated two port dc/dc transformer products achieving very high power density and efficiency figures are based on series resonant converter operating just at the resonant frequency and operating in the megahertz range are already available in the market. However, further efficiency improvements of power architectures are expected to come from using two or more separate low voltage distribution buses instead of a single one. The principal objective of this dissertation is to implement the concept of the series resonant converter operating at its optimum point into a novel bidirectional multiple port dc/dc transformer to address the future needs of power architectures. The new multiple port dc/dc transformer is based on a series resonant converter topology and reduces to only one the number of magnetic components. Soft switching commutations make possible high switching frequencies to be adopted and high power densities to be achieved. Possible problems regarding stray inductances are eliminated since they are absorbed into the circuit elements. The converter features very good inherent load and cross regulation due to the small output impedances. The proposed multiple port dc/dc transformer operates at fixed switching frequency without line regulation. Extensive theoretical analysis of the topology and modeling in details are provided in order to compare with the experimental results. The relationships that show how the output voltage regulation and conduction losses are affected by the circuit parasitics are derived. The methods to select the resonant capacitor values to achieve different design goals such as minimum conduction losses, elimination of cross regulation or ZCS operation at full load of all the secondary side bridges are discussed. ZVS turn-on of all the switches is achieved by relying on the finite magnetizing inductance of the Abstract transformer. A change of the driving pattern is proposed to achieve ZCS operation of all the secondary side bridges independent on load variations or resonant capacitor tolerances. The feasibility of the proposed topology is verified through extensive simulation and experimental work. The optimization of the high frequency transformer design is also addressed in this work since it is the most bulky component in the converter. The impact of dead time interval and the gap size on the overall converter efficiency is analyzed on the design example of the three port dc/dc transformer of several hundreds of watts of the output power for high voltage applications. The final part of this research considers the implementation and performance analysis of the four port dc/dc transformer in a low voltage application of tens of watts of the output power and without isolation requirements.
Resumo:
The pure and cerium doped sodium bismuth titanate inorganic powders were synthesized by solid state reaction method. The presence of rhombohedral phase was observed in cerium doped NBT compounds. At 1200 ºC, the 5% of cerium doped NBT compound forms single perovskite phase. The samples of x = 0.10 and 0.15 were heat treated to 1350 ºC, the binary phases with cerium and bismuth oxides were observed. The X-ray diffraction, fourier transform infrared spectroscopy, reflectance spectra, differential thermal analysis and thermo gravimetric analysis were used to analyze the various properties of samples. Moreover, the effects of cerium doping and calcining temperature on NBT samples were investigated. In this work we present our recent results on the synthesis and characterization of Ce doped sodium bismuth titanate materials.
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Operational Modal Analysis consists on estimate the modal parameters of a structure (natural frequencies, damping ratios and modal vectors) from output-only vibration measurements. The modal vectors can be only estimated where a sensor is placed, so when the number of available sensors is lower than the number of tested points, it is usual to perform several tests changing the position of the sensors from one test to the following (multiple setups of sensors): some sensors stay at the same position from setup to setup, and the other sensors change the position until all the tested points are covered. The permanent sensors are then used to merge the mode shape estimated at each setup (or partial modal vectors) into global modal vectors. Traditionally, the partial modal vectors are estimated independently setup by setup, and the global modal vectors are obtained in a postprocess phase. In this work we present two state space models that can be used to process all the recorded setups at the same time, and we also present how these models can be estimated using the maximum likelihood method. The result is that the global mode shape of each mode is obtained automatically, and subsequently, a single value for the natural frequency and damping ratio of the mode is computed. Finally, both models are compared using real measured data.
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Is the mechanical unraveling of protein domains by atomic force microscopy (AFM) just a technological feat or a true measurement of their unfolding? By engineering a protein made of tandem repeats of identical Ig modules, we were able to get explicit AFM data on the unfolding rate of a single protein domain that can be accurately extrapolated to zero force. We compare this with chemical unfolding rates for untethered modules extrapolated to 0 M denaturant. The unfolding rates obtained by the two methods are the same. Furthermore, the transition state for unfolding appears at the same position on the folding pathway when assessed by either method. These results indicate that mechanical unfolding of a single protein by AFM does indeed reflect the same event that is observed in traditional unfolding experiments. The way is now open for the extensive use of AFM to measure folding reactions at the single-molecule level. Single-molecule AFM recordings have the added advantage that they define the reaction coordinate and expose rare unfolding events that cannot be observed in the absence of chemical denaturants.
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By using molecular dynamics simulations, we have examined the binding of a hexaNAG substrate and two potential hydrolysis intermediates (an oxazoline ion and an oxocarbenium ion) to a family 19 barley chitinase. We find the hexaNAG substrate binds with all sugars in a chair conformation, unlike the family 18 chitinase which causes substrate distortion. Glu 67 is in a position to protonate the anomeric oxygen linking sugar residues D and E whereas Asn 199 serves to hydrogen bond with the C2′ N-acetyl group of sugar D, thus preventing the formation of an oxazoline ion intermediate. In addition, Glu 89 is part of a flexible loop region allowing a conformational change to occur within the active site to bring the oxocarbenium ion intermediate and Glu 89 closer by 4–5 Å. A hydrolysis product with inversion of the anomeric configuration occurs because of nucleophilic attack by a water molecule that is coordinated by Glu 89 and Ser 120. Issues important for the design of inhibitors specific to family 19 chitinases over family 18 chitinases also are discussed.
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We report here that during a permanent cardiac arrest, rodent brain tissue is “physiologically” preserved in situ in a particular quiescent state. This state is characterized by the absence of electrical activity and by a critical period of 5–6 hr during which brain tissue can be reactivated upon restoration of a simple energy (glucose/oxygen) supply. In rat brain slices prepared 1–6 hr after cardiac arrest and maintained in vitro for several hours, cells with normal morphological features, intrinsic membrane properties, and spontaneous synaptic activity were recorded from various brain regions. In addition to functional membrane channels, these neurons expressed mRNA, as revealed by single-cell reverse transcription–PCR, and could synthesize proteins de novo. Slices prepared after longer delays did not recover. In a guinea pig isolated whole-brain preparation that was cannulated and perfused with oxygenated saline 1–2 hr after cardiac arrest, cell activity and functional long-range synaptic connections could be restored although the electroencephalogram remained isoelectric. Perfusion of the isolated brain with the γ-aminobutyric acid A receptor antagonist picrotoxin, however, could induce self-sustained temporal lobe epilepsy. Thus, in rodents, the duration of cardiac arrest compatible with a short-term recovery of neuronal activity is much longer than previously expected. The analysis of the parameters that regulate this duration may bring new insights into the prevention of postischemic damages.
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Many cellular events depend on a tightly compartmentalized distribution of H+ ions across membrane-bound organelles. However, measurements of organelle pH in living cells have been scarce. Several mutants of the Aequorea victoria green fluorescent protein (GFP) displayed a pH-dependent absorbance and fluorescent emission, with apparent pKa values ranging from 6.15 (mutations F64L/S65T/H231L) and 6.4 (K26R/F64L/S65T/Y66W/N146I/M153T/V163A/N164H/H231L) to a remarkable 7.1 (S65G/S72A/T203Y/H231L). We have targeted these GFPs to the cytosol plus nucleus, the medial/trans-Golgi by fusion with galactosyltransferase, and the mitochondrial matrix by using the targeting signal from subunit IV of cytochrome c oxidase. Cells in culture transfected with these cDNAs displayed the expected subcellular localization by light and electron microscopy and reported local pH that was calibrated in situ with ionophores. We monitored cytosolic and nuclear pH of HeLa cells, and mitochondrial matrix pH in HeLa cells and in rat neonatal cardiomyocytes. The pH of the medial/trans-Golgi was measured at steady-state (calibrated to be 6.58 in HeLa cells) and after various manipulations. These demonstrated that the Golgi membrane in intact cells is relatively permeable to H+, and that Cl− serves as a counter-ion for H+ transport and likely helps to maintain electroneutrality. The amenability to engineer GFPs to specific subcellular locations or tissue targets using gene fusion and transfer techniques should allow us to examine pH at sites previously inaccessible.
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The vitamin K-dependent γ-glutamyl carboxylase catalyzes the posttranslational conversion of glutamic acid to γ-carboxyglutamic acid in precursor proteins containing the γ-carboxylation recognition site (γ-CRS). During this reaction, glutamic acid is converted to γ-carboxyglutamic acid while vitamin KH2 is converted to vitamin K 2,3-epoxide. Recombinant bovine carboxylase was purified free of γ-CRS-containing propeptide and endogenous substrate in a single-step immunoaffinity procedure. We show that in the absence of γ-CRS-containing propeptide and/or glutamate-containing substrate, carboxylase has little or no epoxidase activity. Epoxidase activity is induced by Phe-Leu-Glu-Glu-Leu (FLEEL) (9.2 pmol per min per pmol of enzyme), propeptide, residues −18 to −1 of proFactor IX (3.4 pmol per min per pmol of enzyme), FLEEL and propeptide (100 pmol per min per pmol of enzyme), and proPT28 (HVFLAPQQARSLLQRVRRANTFLEEVRK, residues −18 to +10 of human acarboxy-proprothrombin), (5.3 pmol per min per pmol of enzyme). These results indicate that in the absence of propeptide or glutamate-containing substrate, oxygenation of vitamin K by the carboxylase does not occur. Upon addition of propeptide or glutamate-containing substrate, the enzyme is converted to an active epoxidase. This regulatory mechanism prevents the generation of a highly reactive vitamin K intermediate in the absence of a substrate for carboxylation.
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Catalytic antibodies have shown great promise for catalyzing a tremendously diverse set of natural and unnatural chemical transformations. However, few catalytic antibodies have efficiencies that approach those of natural enzymes. In principle, random mutagenesis procedures such as phage display could be used to improve the catalytic activities of existing antibodies; however, these studies have been hampered by difficulties in the recombinant expression of antibodies. Here, we have grafted the antigen binding loops from a murine-derived catalytic antibody, 17E8, onto a human antibody framework in an effort to overcome difficulties associated with recombinant expression and phage display of this antibody. “Humanized” 17E8 retained similar catalytic and hapten binding properties as the murine antibody while levels of functional Fab displayed on phage were 200-fold higher than for a murine variable region/human constant region chimeric Fab. This construct was used to prepare combinatorial libraries. Affinity panning of these resulted in the selection of variants with 2- to 8-fold improvements in binding affinity for a phosphonate transition-state analog. Surprisingly, none of the affinity-matured variants was more catalytically active than the parent antibody and some were significantly less active. By contrast, a weaker binding variant was identified with 2-fold greater catalytic activity and incorporation of a single substitution (Tyr-100aH → Asn) from this variant into the parent antibody led to a 5-fold increase in catalytic efficiency. Thus, phage display methods can be readily used to optimize binding of catalytic antibodies to transition-state analogs, and when used in conjunction with limited screening for catalysis can identify variants with higher catalytic efficiencies.
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We identified a protein, Aer, as a signal transducer that senses intracellular energy levels rather than the external environment and that transduces signals for aerotaxis (taxis to oxygen) and other energy-dependent behavioral responses in Escherichia coli. Domains in Aer are similar to the signaling domain in chemotaxis receptors and the putative oxygen-sensing domain of some transcriptional activators. A putative FAD-binding site in the N-terminal domain of Aer shares a consensus sequence with the NifL, Bat, and Wc-1 signal-transducing proteins that regulate gene expression in response to redox changes, oxygen, and blue light, respectively. A double mutant deficient in aer and tsr, which codes for the serine chemoreceptor, was negative for aerotaxis, redox taxis, and glycerol taxis, each of which requires the proton motive force and/or electron transport system for signaling. We propose that Aer and Tsr sense the proton motive force or cellular redox state and thereby integrate diverse signals that guide E. coli to environments where maximal energy is available for growth.
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Single light-harvesting complexes LH-2 from Rhodopseudomonas acidophila were immobilized on various charged surfaces under physiological conditions. Polarized light experiments showed that the complexes were situated on the surface as nearly upright cylinders. Their fluorescence lifetimes and photobleaching properties were obtained by using a confocal fluorescence microscope with picosecond time resolution. Initially all molecules fluoresced with a lifetime of 1 ± 0.2 ns, similar to the bulk value. The photobleaching of one bacteriochlorophyll molecule from the 18-member assembly caused the fluorescence to switch off completely, because of trapping of the mobile excitations by energy transfer. This process was linear in light intensity. On continued irradiation the fluorescence often reappeared, but all molecules did not show the same behavior. Some LH-2 complexes displayed a variation of their quantum yields that was attributed to photoinduced confinement of the excited states and thereby a diminution of the superradiance. Others showed much shorter lifetimes caused by excitation energy traps that are only ≈3% efficient. On repeated excitation some molecules entered a noisy state where the fluorescence switched on and off with a correlation time of ≈0.1 s. About 490 molecules were examined.
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Cessation of transcription at specific terminator DNA sequences is used by viruses, bacteria, and eukaryotes to regulate the expression of downstream genes, but the mechanisms of transcription termination are poorly characterized. To elucidate the kinetic mechanism of termination at the intrinsic terminators of enteric bacteria, we observed, by using single-molecule light microscopy techniques, the behavior of surface-immobilized Escherichia coli RNA polymerase (RNAP) molecules in vitro. An RNAP molecule remains at a canonical intrinsic terminator for ≈64 s before releasing DNA, implying the formation of an elongation-incompetent (paused) intermediate by transcription complexes that terminate but not by those that read through the terminator. Analysis of pause lifetimes establishes a complete minimal mechanism of termination in which paused intermediate formation is both necessary and sufficient to induce release of RNAP at the terminator. The data suggest that intrinsic terminators function by a nonequilibrium process in which terminator effectiveness is determined by the relative rates of nucleotide addition and paused state entry by the transcription complex.
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The isomerization of chorismate to prephenate by chorismate mutase in the biosynthetic pathway that forms Tyr and Phe involves C5—O (ether) bond cleavage and C1—C9 bond formation in a Claisen rearrangement. Development of negative charge on the ether oxygen, stabilized by Lys-168 and Glu-246, is inferred from the structure of a complex with a transition state analogue (TSA) and from the pH-rate profile of the enzyme and the E246Q mutant. These studies imply a protonated Glu-246 well above pH 7. Here, several 500-ps molecular dynamics simulations test the stability of enzyme–TSA complexes by using a solvated system with stochastic boundary conditions. The simulated systems are (i) protonated Glu-246 (stable), (ii) deprotonated Glu-246 (unstable), (iii) deprotonated Glu-246 plus one H2O between Glu-246 and the ether oxygen (unstable), (iv) the E246Q mutant (stable), and (v) addition of OH− between protonated Glu-246 and the ether oxygen. In (v), a local conformational change of Lys-168 displaced the OH− into the solvent region, suggesting a possible rate-determining step that precedes the catalytic step. In a 500-ps simulation of the enzyme complexed with the reactant chorismate or the product prephenate, no water molecule remained near the oxygen of the ligand. Calculations using the linearized Poisson–Boltzmann equation show that the effective pKa of Glu-246 is shifted from 5.8 to 8.1 as the negative charge on the ether oxygen of the TSA is changed from −0.56 electron to −0.9 electron. Altogether, these results support retention of a proton on Glu-246 to high pH and the absence of a water molecule in the catalytic steps.
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The flavin hydroperoxide at the active site of the mixed-function oxidase 2-aminobenzoyl-CoA monooxygenase/reductase (Azoarcus evansii) transfers an oxygen to the 5-position of the 2-aminobenzoyl-CoA substrate to provide the alkoxide intermediate II−. Hydrogen migration from C5 to C6 follows this monooxygenation. The nature of the monooxygenation intermediate and plausible competing reactions leading to hydrogen migration have been considered. Ab initio molecular orbital theory has been used to calculate structures and electron distributions in intermediate and transition state structures. Electrostatic potential surface calculations establish that the transition state and product, associated with the C5 to C6 hydrogen transfer, are stabilized by electron distribution to the benzoyl-CoA thioester carbonyl oxygen. This is not so for the transition state and product associated with hydrogen transfer from C5 to C4. The activation energy for the 5,6-shift is 2.5 kcal/mol lower than that for the 5,4-shift. In addition, the product of the hydrogen 5,6-shift is more stable than is the product of the hydrogen 5,4-shift, by ≈6 kcal/mol. These results explain why only the shift of hydrogen from C5 to C6 is observed experimentally. Oxygen transfer and hydrogen migration almost coincide in the gas phase (activation energy of ≈0.6 kcal/mol, equivalent to a single bond vibration). Enzymatic formation of alkoxide II− requires its stabilization; thus, the rate constant for its breakdown would be slower than in the gas phase.