Design and flux-weakening control of an interior permanent magnet synchronous motor for electric vehicles

Permanent magnet synchronous motors (PMSMs) provide a competitive technology for EV traction drives owing to their high power density and high efficiency. In this paper, three types of interior PMSMs with different PM arrangements are modeled by the finite element method (FEM). For a given amount of permanent magnet materials, the V shape interior PMSM is found better than the U-shape and the conventional rotor topologies for EV traction drives. Then the V shape interior PMSM is further analyzed with the effects of stator slot opening and the permanent magnet pole chamfering on cogging torque and output torque performance. A vector-controlled flux-weakening method is developed and simulated in matlab to expand the motor speed range for EV drive system. The results show good dynamic and steady-state performance with a capability of expanding speed up to 4 times of the rated. A prototype of the V shape interior PMSM is also manufactured and tested to validate the numerical models built by the finite element method.

A Theory of Natural Addiction

Economic theories of rational addiction aim to describe consumer behavior in the presence of habit-forming goods. We provide a biological foundation for this body of work by formally specifying conditions under which it is optimal to form a habit. We demonstrate the empirical validity of our thesis with an in-depth review and synthesis of the biomedical literature concerning the action of opiates in the mammalian brain and their eects on behavior. Our results lend credence to many of the unconventional behavioral assumptions employed by theories of rational addiction, including adjacent complementarity and the importance of cues, attention, and self-control in determining the behavior of addicts. We oer evidence for the special case of the opiates that "harmful" addiction is the manifestation of a mismatch between behavioral algorithms encoded in the human genome and the expanded menu of choices faced by consumers in the modern world.

Odüsszeuszi utazás – az előretekintő iránymutatás tapasztalatai = An Odysseian journey - experience with forward guidance

Az alsó kamatkorlát melletti előretekintő iránymutatás a kamatpolitika helyettesítője, a várakozások és a pénzpiaci hozamok befolyásolásának nem konvencionális monetáris politikai eszköze. A jegybank a piaci szereplők számára előre jelezheti az alacsony kamatkörnyezet tartós fennmaradását (delphoi típus), és kötelezettséget is vállalhat erre (odüsszeuszi típus). Ez utóbbi esetben megváltozik a jegybanki reakciófüggvény: a jegybanki kamatdöntésekben nem az inflációs kilátások és az inflációs cél közötti eltérés, illetve a kibocsátási rés jut kitüntetett szerephez, hanem valamilyen állapotváltozó alakulása vagy az időtényező. A reakciófüggvény változásának hitelessége esetén a hozamok csökkenésére lehet számítani. Ha a jegybank a kamatszint fenntartásának feltételéül az állapotváltozók olyan értékeit jelöli meg, amelyek teljesülése esetén az inflációs célkövetés szabályai szerint amúgy sem emelt volna kamatot, akkor az előretekintő iránymutatás „üres beszéd”, és a hozamokra gyakorolt hatás is elmaradhat. Egyelőre nem eldönthető, hogy az előretekintő iránymutatás a kamatpolitika átmeneti helyettesítőjéből annak tartós kiegészítő elemévé válik-e. _____ Forward guidance is a substitute for interest-rate policy where the zero lower boundary applies. It is an unconventional monetary policy instrument intended to influence market yields and expectations. The central bank may give signals (forecasts) to the market on lasting maintenance of a low interest-rate environment (Delphi type) or may commit itself to do so (Odysseus type). In the latter case the reaction function changes: instead of inflation prospects and output gap, the main role in central bank rate decisions becomes the evolution of given macroeconomic state variables or the time factor. If changes of the reaction function are credible, a drop in security yields are expected. Forward guidance is just cheap talk if such values in economic state variables are set as conditions for keeping interest rates unchanged, which based on the rules of inflation targeting would not trigger an interest rate increase, regardless. In that case, no impact on yields may occur. For the time being it cannot be decided whether forward guidance is transitory or a lasting instrument of monetary policy.

Uso de metamaterial em antenas de microfita com supercondutor

Metamaterials have attracted great attention in recent decades, due to their electromagnetic properties which are not found in nature. Since metamaterials are now synthesized by the insertion of artificially manufactured inclusions in a specified homogeneous medium, it became possible for the researcher to work with a wide collection of independent parameters, for example, the electromagnetic properties of the material. An investigation of the properties of ring resonators was performed as well as those of metamaterials. A study of the major theories that clearly explain superconductivity was presented. The BCS theory, London Equations and the Two-Fluid Model are theories that support the application of superconducting microstrip antennas. Therefore, this thesis presents theoretical, numerical and experimental-computational analysis using full-wave formalism, through the application of the Transverse Transmission Line – LTT method applied in the Fourier Transform Domain (FTD). The LTT is a full wave method, which, as a rule, obtains the electromagnetic fields in terms of the transverse components of the structure. The inclusion of the superconducting patch is performed using the complex resistive boundary condition. Results of resonant frequency as a function of antenna parameters are obtained. To validate the analysis, computer programs were developed using Fortran, simulations were created using the commercial software, with curves being drawn using commercial software and MATLAB, in addition to comparing the conventional patch with the superconductor as well as comparing a metamaterial substrate with a conventional one, joining the substrate with the patch, observing what improves on both cas

A regulação da exploração e produção de hidrocarbonetos não convencionais no Brasil

The global energy crisis triggered the possibility of unconventional hydrocarbons exploration and production, culminating in the US energy revolution as well as making other countries interested in the development of these natural resources. The justification for this research comes from Brazil's interest in the use of hydraulic fracturing techniques in unconventional resources since the Brazilian National Agency of Petroleum, Natural Gas and Biofuels (ANP) organized the 12th acquisition process and published the Resolution no. 21 of April 10, 2014. The conflict between economic viability and the social and environmental damage from exploration and production of unconventional hydrocarbons in Brazil resulted in the search for a legal solution that would consider the economic, social and environmental interests. The main purpose here is to analyze the regulation of unconventional oil exploration and production in Brazil in order to show lack of regulatory instruments so far. The specific objectives are to investigate how the lack of effective regulation may ultimately prevent the development itself, analyze the importance of systematization of a new regulatory tool for ensuring legal security and energy, identify the key negative environmental and social impacts, and suggest possibilities approaches within the new regulatory framework. The research methodology stands out the hypothetico-deductive model as approach, and the comparative model as procedural method. Moreover, the research techniques used here are performance of a theoretical and descriptive questioning over literature search, analysis of Brazilian standardization and case laws, and a brief comparative study, in order to provide suggested approaches for a new regulatory framework.

A regulação da exploração e produção de hidrocarbonetos não convencionais no Brasil

The global energy crisis triggered the possibility of unconventional hydrocarbons exploration and production, culminating in the US energy revolution as well as making other countries interested in the development of these natural resources. The justification for this research comes from Brazil's interest in the use of hydraulic fracturing techniques in unconventional resources since the Brazilian National Agency of Petroleum, Natural Gas and Biofuels (ANP) organized the 12th acquisition process and published the Resolution no. 21 of April 10, 2014. The conflict between economic viability and the social and environmental damage from exploration and production of unconventional hydrocarbons in Brazil resulted in the search for a legal solution that would consider the economic, social and environmental interests. The main purpose here is to analyze the regulation of unconventional oil exploration and production in Brazil in order to show lack of regulatory instruments so far. The specific objectives are to investigate how the lack of effective regulation may ultimately prevent the development itself, analyze the importance of systematization of a new regulatory tool for ensuring legal security and energy, identify the key negative environmental and social impacts, and suggest possibilities approaches within the new regulatory framework. The research methodology stands out the hypothetico-deductive model as approach, and the comparative model as procedural method. Moreover, the research techniques used here are performance of a theoretical and descriptive questioning over literature search, analysis of Brazilian standardization and case laws, and a brief comparative study, in order to provide suggested approaches for a new regulatory framework.

Classificação de técnicas estendidas no contrabaixo acústico

This work is to identify and classify extended techniques on acoustic bass. The main purpose of this classification is to provide the bass better understanding and practice these techniques. For this, we carried out a literature review, it was noted that, in academia, this topic is new and understanding for some musicians is still complex and nebulous. To assist in the difficulties of the bass player, the extended techniques were divided into two parts, proposing different approaches. The first part proposes the experimentation and exploration of conventional and unconventional techniques from other instruments on acoustic bass. The second seeks to identify and rank the extended techniques, showing excerpts from the solo instrument repertoire compositions. On each, there are still referenced authors and their contributions to the instrumental practice these techniques. In both categories of classification procedures were presented to be adopted by the bass player for the implementation of those techniques, as well as suggestions for their study. Among the main results, it was found that through the proposed classification of these techniques, one can incorporate new resources to technical universe and timbre of the instrument. Lastly, it was found a creation of a composition performed by interaction between composer and performer, containing new extended techniques or extended techniques not found in the instrument's contemporary soloist repertoire.

Classificação de técnicas estendidas no contrabaixo acústico

This work is to identify and classify extended techniques on acoustic bass. The main purpose of this classification is to provide the bass better understanding and practice these techniques. For this, we carried out a literature review, it was noted that, in academia, this topic is new and understanding for some musicians is still complex and nebulous. To assist in the difficulties of the bass player, the extended techniques were divided into two parts, proposing different approaches. The first part proposes the experimentation and exploration of conventional and unconventional techniques from other instruments on acoustic bass. The second seeks to identify and rank the extended techniques, showing excerpts from the solo instrument repertoire compositions. On each, there are still referenced authors and their contributions to the instrumental practice these techniques. In both categories of classification procedures were presented to be adopted by the bass player for the implementation of those techniques, as well as suggestions for their study. Among the main results, it was found that through the proposed classification of these techniques, one can incorporate new resources to technical universe and timbre of the instrument. Lastly, it was found a creation of a composition performed by interaction between composer and performer, containing new extended techniques or extended techniques not found in the instrument's contemporary soloist repertoire.

The mermaid series of Elizabethan and Jacobean dramatists (1887-1909): a literary and critical history

The Mermaid Series (1887-1909) edited by Havelock Ellis was a major watershed in appreciation of Elizabethan and Jacobean drama. Before it appeared plays were available to general readers in scattered anthologies, large expensive collected editions or in expurgated selections which included only the more lyrical speeches and memorable scenes. Criticism of the drama followed suit; the majority of critics concentrated on the sections which appealed to the romantic and sentimental tastes of nineteenthcentury readers. The two men who conceived the Mermaid Series, John Addington Symonds and Havelock Ellis, approached the drama differently from their contemporaries; Symonds studied a play as a whole work of art and Ellis concentrated on its view of life. Both were unsatisfied with the "select beauties", fragmented approach and wanted readers to have the best plays in their entirety easily available in handy, inexpensive editions. Symonds's awareness of the drama as theatre was combined with a historical perspective allowing him to judge the drama in relation to its own time. He made a lasting but hitherto underestimated contribution to study of Beaumont and Fletcher, Dekker, Marlowe, and Ford. Ellis's work on the drama is overshadowed today by his studies of sex but his concentration on ideas and appreciation of unconventional behaviour enabled him to formulate new views on Ford, Middleton and Chapman. The two other major editors to work on the series, A. C. Swinburne and Arthur Symons had more conventional nineteenth-century approaches. Both were impressionistic critics who were most attracted to the l~nguage of the drama. Swinburne, however, occasionally transcended his fragmented approach and offered significant interpretations of Tourneur, Massinger; 'The .Changeling, Heywood. Symons's range was more limited but his form of impressionism was valuable for its concentration on the aesthetic experience at the heart of a work of art. His most important contributions were the study of Middleton and Massinger. Besides these four major critics numerous lesser writers worked on the series. Their editorial work was valuable and some, notably Ernest Rhys, c. H. Herford and Thomas Dickinson offered criticism of enduring importance. In my first chapter I consider the general availability of texts of the Elizabethan and Jacobean drama in the nineteenth century, the general attitudes towards the drama, and the critical approaches of each of the editors. The subsequent chapters are organized around the volumes of the series. I consider the climate of opinion in which each appeared, assess its critical and editorial contribution and evaluate the work of the other Mermaid editors on the dramatist included in the volume. My study shows that the concept of the Mermaid Series and the work of its editors helped to revolutionize study of the Elizabethan and Jacobean dramatists by providing good texts and by pointing the way to our present view of the plays as whole works of art.

Insights into Nonpilus Adhesin Functionality and the Molecular Determinants of Nontypeable Haemophilus influenzae Colonization

Bacterial colonization of the upper respiratory tract is the first step in the pathogenesis of nontypeable Haemophilus influenzae (NTHi) disease. Examination of the determinants of NTHi colonization process has been hampered by the lack of an appropriate animal model. To address this, we have developed a model of NTHi colonization in adult rhesus macaques that involves intranasal inoculation of 1x105 CFU and results in persistent colonization of the upper respiratory tract for at least three weeks with no signs of disease, mimicking asymptomatic colonization of humans. Using this model, we assessed the contributions to colonization of the HMW1 and HMW2 adhesive proteins. In competition experiments, the parent strain expressing both HMW1 and HMW2 was able to efficiently out-compete an isogenic mutant strain expressing neither HMW1 nor HMW2. In experiments involving inoculation of single isogenic derivatives of NTHi strain 12, the strains expressing HMW1 or HMW2 or both were able to colonize efficiently, while the strain expressing neither HMW1 nor HMW2 colonized inefficiently. Furthermore, colonization resulted in antibody production against HMW1 and HMW2 in one-third of the animals, demonstrating that colonization can be an immunizing event. In conclusion, we have established that NTHi is capable of colonizing the upper respiratory tract of rhesus macaques, in some cases associated with stimulation of an immune response. The HMW1 and HMW2 adhesive proteins play a major role in the process of colonization.

After establishing that the HMW1 and HMW2 proteins are colonization factors we further investigated the determinants of HMW1 function. HMW1 is encoded in the same genetic locus as two other proteins, HMW1B and HMW1C, with which HMW1 must interact in order to be functional. Interaction with HMW1C in the cytoplasm results in the glycosylation of HMW1. By employing homologues of HMW1C that glycosylate HMW1 in slightly different patterns we show that the pattern of modification is critical to HMW1 function. Structural analysis showed a change in protein structure when the pattern of HMW1 modification differed. We also identified two specific sites which must be glycosylated for HMW1 to function properly. These point mutations did not have a significant effect on protein structure, suggesting that glycosylation at those specific sites is instead necessary for interaction of HMW1 with its receptor. HMW1B is an outer membrane pore through which HMW1 is transported to reach the bacterial cell surface. We observed that HMW1 isolated from the cytoplasm has a different structure than HMW1 isolated from the bacterial cell surface. By forcing HMW1 to be secreted in a non-HMW1B dependent manner, we show that secretion alone is not sufficient for HMW1 to obtain a functional structure. This leads us to hypothesize that there is something specific in the interaction between HMW1 and HMW1B that aids in proper HMW1 folding.

The NTHi HMW1C glycosyltransferase mediates unconventional N-linked glycosylation of HMW1. In this system, HMW1 is modified in the cytoplasm by sequential transfer of hexose residues. To determine if this mechanism of N-linked glycosylation is employed by species other than NTHi, we examined Kingella kingae and Aggregatibacter aphrophilus homologues of HMW1C. We found both homologues to be functional glycosyltransferases and identified their substrates as the K. kingae Knh and the A. aphrophilus EmaA trimeric autotransporter proteins. LC-MS/MS analysis revealed multiple sites of N-linked glycosylation on Knh and EmaA. Without glycosylation, Knh and EmaA failed to facilitate wild type levels of bacterial autoaggregation or adherence to human epithelial cells, establishing that glycosylation is essential for proper protein function.

Into the Bends of Time and Musical Forces in Jazz: Group Interaction and Double-time in “My Foolish Heart” as performed by the Bill Evans Trio with Scott LaFaro and Paul Motian.

Into the Bends of Time is a 40-minute work in seven movements for a large chamber orchestra with electronics, utilizing real-time computer-assisted processing of music performed by live musicians. The piece explores various combinations of interactive relationships between players and electronics, ranging from relatively basic processing effects to musical gestures achieved through stages of computer analysis, in which resulting sounds are crafted according to parameters of the incoming musical material. Additionally, some elements of interaction are multi-dimensional, in that they rely on the participation of two or more performers fulfilling distinct roles in the interactive process with the computer in order to generate musical material. Through processes of controlled randomness, several electronic effects induce elements of chance into their realization so that no two performances of this work are exactly alike. The piece gets its name from the notion that real-time computer-assisted processing, in which sound pressure waves are transduced into electrical energy, converted to digital data, artfully modified, converted back into electrical energy and transduced into sound waves, represents a “bending” of time.

The Bill Evans Trio featuring bassist Scott LaFaro and drummer Paul Motian is widely regarded as one of the most important and influential piano trios in the history of jazz, lauded for its unparalleled level of group interaction. Most analyses of Bill Evans’ recordings, however, focus on his playing alone and fail to take group interaction into account. This paper examines one performance in particular, of Victor Young’s “My Foolish Heart” as recorded in a live performance by the Bill Evans Trio in 1961. In Part One, I discuss Steve Larson’s theory of musical forces (expanded by Robert S. Hatten) and its applicability to jazz performance. I examine other recordings of ballads by this same trio in order to draw observations about normative ballad performance practice. I discuss meter and phrase structure and show how the relationship between the two is fixed in a formal structure of repeated choruses. I then develop a model of perpetual motion based on the musical forces inherent in this structure. In Part Two, I offer a full transcription and close analysis of “My Foolish Heart,” showing how elements of group interaction work with and against the musical forces inherent in the model of perpetual motion to achieve an unconventional, dynamic use of double-time. I explore the concept of a unified agential persona and discuss its role in imparting the song’s inherent rhetorical tension to the instrumental musical discourse.

Autoritarismes étatiques et régulation religieuse du politique en République démocratique du Congo : analyse discursive de la parole épiscopale catholique sur les élections (1990-2015)

Centrée essentiellement autour de la parole épiscopale congolaise, la présente recherche porte sur les articulations de la religion et du politique dans une perspective limitée au catholicisme en RDC. En prenant pour base empirique la ville de Kinshasa, elle thématise les effets des dynamiques religieuses sur les fermentations sociales et les changements politiques dans un contexte d’autoritarisme. Celui-ci est, dans ce travail, problématisé comme le fait conjoint de l’institution étatique et de l’organisation religieuse catholique. Le choix de cette approche relationnelle basée sur les interactions entre religion et politique, permet d’inscrire ce travail dans le champ d’études des sciences des religions. L’approche retenue s’appuie également sur les avancées de la sociologie politique et éclaire la régulation religieuse du politique, rarement étudiée par les sciences humaines. Cette recherche s’inscrit donc à l’intersection entre l’histoire, la sociologie, les sciences politiques, l’anthropologie, l’analyse du discours, la philosophie et la théologie. Sa thèse centrale est organisée autour d’une question principale : comment la religion participe-t-elle à la régulation du politique dans le contexte d’autoritarisme caractéristique de la RDC ? La réponse à cette question croise l’approche fonctionnelle de la religion et l’analyse des déclarations institutionnelles de l’épiscopat congolais. Elle esquisse les relations entre, d’une part, contextes et événements sociopolitiques et d’autre part, discours et pratiques religieuses. Elle construit la scène religieuse à partir de la trajectoire sociopolitique, économique et culturelle de la RDC entre 1990 et 2015, sous les Présidents J.-D. Mobutu, L.-D. Kabila et J. Kabila. Elle étudie l'offre normative de sens de leurs éminences J.-A. Malula, F. Etsou et L. Monsengwo. L’analyse de la rhétorique de l’épiscopat sur les élections vérifie la plausibilité sociale et l’efficience politique de la parole épiscopale congolaise. Elle se ressource dans la pragmatique de la communication telle que mise en œuvre dans l’analyse argumentative du discours de R. Amossy et dans celle du discours politique de P. Charaudeau. En mettant la focale sur l’objet linguistique « vérité des urnes », la recherche pose au niveau normatif, juridique et éthique, le problème de l’institutionnalisation d’un État de droit en RDC. Les élaborations sur ce dernier niveau s’articulent autour de l’inscription de l’éthique dans l’agir politique. L’examen des modes conventionnels d’action des chrétiens (élections de 2006 et 2011) et non conventionnels (marche des chrétiens de 1992 et 2012) conduit à éclairer les modes de reproduction ou de contestation de l’autoritarisme étatique par l’organisation religieuse. Il permet de promouvoir une démocratie des valeurs et d’action adossée à la parrhêsia. L’introduction de l’aléthique dans la vie publique donne à voir la parole épiscopale congolaise comme un discours ethopoïétique. C’est sur ce point précis que les élaborations de M. Foucault sur la parrhêsia aident à thématiser la capacité de la religion à informer et à influencer la démocratisation de la RDC. De là, la requête formulée pour un nouveau système d’action institutionnelle de l’organisation religieuse, susceptible de promouvoir le courage de la vérité en situation autoritaire. Cette innovation permet de tenir ensemble les valeurs démocratiques et les valeurs de l’Évangile, en les corrélant à la cohérence axiologique, à la probité morale et à l’intégrité existentielle des protagonistes de la démocratisation de la RDC.

C-MEMS Based Micro Enzymatic Biofuel Cells

Miniaturized, self-sufficient bioelectronics powered by unconventional micropower may lead to a new generation of implantable, wireless, minimally invasive medical devices, such as pacemakers, defibrillators, drug-delivering pumps, sensor transmitters, and neurostimulators. Studies have shown that micro-enzymatic biofuel cells (EBFCs) are among the most intuitive candidates for in vivo micropower. In the fisrt part of this thesis, the prototype design of an EBFC chip, having 3D intedigitated microelectrode arrays was proposed to obtain an optimum design of 3D microelectrode arrays for carbon microelectromechanical systems (C-MEMS) based EBFCs. A detailed modeling solving partial differential equations (PDEs) by finite element techniques has been developed on the effect of 1) dimensions of microelectrodes, 2) spatial arrangement of 3D microelectrode arrays, 3) geometry of microelectrode on the EBFC performance based on COMSOL Multiphysics. In the second part of this thesis, in order to investigate the performance of an EBFC, behavior of an EBFC chip performance inside an artery has been studied. COMSOL Multiphysics software has also been applied to analyze mass transport for different orientations of an EBFC chip inside a blood artery. Two orientations: horizontal position (HP) and vertical position (VP) have been analyzed. The third part of this thesis has been focused on experimental work towards high performance EBFC. This work has integrated graphene/enzyme onto three-dimensional (3D) micropillar arrays in order to obtain efficient enzyme immobilization, enhanced enzyme loading and facilitate direct electron transfer. The developed 3D graphene/enzyme network based EBFC generated a maximum power density of 136.3 μWcm-2 at 0.59 V, which is almost 7 times of the maximum power density of the bare 3D carbon micropillar arrays based EBFC. To further improve the EBFC performance, reduced graphene oxide (rGO)/carbon nanotubes (CNTs) has been integrated onto 3D mciropillar arrays to further increase EBFC performance in the fourth part of this thesisThe developed rGO/CNTs based EBFC generated twice the maximum power density of rGO based EBFC. Through a comparison of experimental and theoretical results, the cell performance efficiency is noted to be 67%.

International Capital Flows and Monetary Policy Spillovers

This dissertation examines the drivers and implications of international capital flows. The overarching motivation is the observation that countries not at the centre of global financial markets are subject to considerable spillovers from centre countries, notably from their monetary policy. I present new empirical evidence on the determinants of the observed patterns of international capital flows and monetary policy spillovers, and study their effect on both financial markets and the real economy. In Chapter 2 I provide evidence on the determinants of a puzzling negative correlation observed between productivity growth and net capital inflows to developing and emerging market economies (EMEs) since 1980. By disaggregating net capital inflows into their gross components, I show that this negative correlation is explained by capital outflows related to purchases of very liquid assets from the fastest growing countries. My results suggest a desire for international portfolio diversification in liquid assets by fast growing countries is driving much of the original puzzle. In the reminder of my dissertation I pivot to study the foreign characteristics that drive international capital flows and monetary policy spillovers, with a particular focus on the role of unconventional monetary policy in the United States (U.S.). In Chapter 3 I show that a significant portion of the heterogeneity in EMEs' asset price adjustment following the quantitative easing operations by the Federal Reserve (the Fed) during 2008-2014 can be explained by the degree of bilateral capital market frictions between these countries and the U.S. This is true even after accounting for capital controls, exchange rate regimes, and domestic monetary policies. Chapter 4, co-authored with Michal Ksawery Popiel, studies unconventional monetary policy in a small open economy, looking specifically at the case of Canada since the global financial crisis. We quantify the effect Canadian unconventional monetary policy shocks had on the real economy, while carefully controlling for and quantifying spillovers from U.S. unconventional monetary policy. Our results indicate that the Bank of Canada's unconventional monetary policy increased Canadian output significantly from 2009-2010, but that spillovers from the Fed's policy were even more important for increasing Canadian output after 2008.

New pairing scheme to overhaul BCS theory

In a superconductor pair occupancy probabilities are doubly defined with conflicting values when normal and umklapp scattering coexist with the same destination momentum. To resolve this issue a new pairing scheme is introduced to assert normal–umklapp frustration under such circumstances. Superconductivity then arises solely from residual umklapp scattering to destination momenta not reached by normal scattering. Consequent Tc calculations from first principles for niobium, tantalum, lead and aluminum turn out to be accurate within a few percent. A new perspective is revealed to support Matthias׳ rule. New light is also shed relevant to the future study of metallic hydrogen.