Electron Correlation In Molecules

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Electron Correlation in Molecules

Author : S. Wilson
Publisher : Courier Corporation
ISBN 13 : 0486150224
Total Pages : 305 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Electron Correlation in Molecules by : S. Wilson

Download or read book Electron Correlation in Molecules written by S. Wilson and published by Courier Corporation. This book was released on 2014-07-01 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Electron correlation effects are of vital significance to the calculation of potential energy curves and surfaces, the study of molecular excitation processes, and in the theory of electron-molecule scattering. This text describes methods for addressing one of theoretical chemistry's central problems, the study of electron correlation effects in molecules. Although the energy associated with electron correlation is a small fraction of the total energy of an atom or molecule, it is of the same order of magnitude as most energies of chemical interest. If the solution of quantum mechanical equations from first principles is to provide an accurate quantitative prediction, reliable techniques for the theoretical determination of the effect of electron correlation on molecular properties are therefore important. To that end, this text explores molecular electronic structure, independent electron models, electron correlation, the linked diagram theorem, group theoretical aspects, the algebraic approximation, and truncation of expansions for expectation values.

Electron Correlation in Molecules and Condensed Phases

Author : Norman H. March
Publisher : Springer Science & Business Media
ISBN 13 : 148991370X
Total Pages : 404 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Electron Correlation in Molecules and Condensed Phases by : Norman H. March

Download or read book Electron Correlation in Molecules and Condensed Phases written by Norman H. March and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book had its origins in lectures presented at EPFL, Lausanne, during two separate visits (the most recent being to IRRMA). The author is most grateful to Professors A. Baldereschi, R. Car, and A. Quattropani for making these visits possible, and for the splendidly stimulating environment provided. Professors S. Baroni and R. Resta also influenced considerably the presentation of material by constructive help and comments. Most importantly, Chapters 4 and 5 were originally prepared for a review article by Professor G. Senatore, then at Pavia and now in Trieste, and myself for Reviews of Modem Physics (1994). In the 'course of this collaboration, he has taught me a great deal, especially about quantum Monte Carlo procedures, and Chapter 5 is based directly on this review article. Also in Chapter 4, my original draft on Gutzwiller's method has been transformed by his deeper understanding; again this is reflected directly in Chapter 4; especially in the earlier sections. In addition to the above background, it is relevant here to point out that, as a backcloth for the present, largely "state of the art," account, there are two highly relevant earlier books: The Many-body Problem in Quantum Mechanics with W.

Electron Correlation in Molecules

Author : Stephen Wilson
Publisher :
ISBN 13 : 9781306937856
Total Pages : 281 pages
Book Rating : 4.9/5 (378 download)

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Book Synopsis Electron Correlation in Molecules by : Stephen Wilson

Download or read book Electron Correlation in Molecules written by Stephen Wilson and published by . This book was released on 2014-01-01 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: Electron correlation effects are of vital significance to the calculation of potential energy curves and surfaces, the study of molecular excitation processes, and in the theory of electron-molecule scattering. This text describes methods for addressing one of theoretical chemistry's central problems, the study of electron correlation effects in molecules. Although the energy associated with electron correlation is a small fraction of the total energy of an atom or molecule, it is of the same order of magnitude as most energies of chemical interest. If the solution of quantum mechanical equations from first principles is to provide an accurate quantitative prediction, reliable techniques for the theoretical determination of the effect of electron correlation on molecular properties are therefore important. To that end, this text explores molecular electronic structure, independent electron models, electron correlation, the linked diagram theorem, group theoretical aspects, the algebraic approximation, and truncation of expansions for expectation values.

Electron Correlations in Molecules and Solids

Author : Peter Fulde
Publisher : Springer Science & Business Media
ISBN 13 : 3642578098
Total Pages : 492 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Electron Correlations in Molecules and Solids by : Peter Fulde

Download or read book Electron Correlations in Molecules and Solids written by Peter Fulde and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dieser Titel verbindet die Festkörpertheorie mit der Quantenchemie. Neue Konzepte der Vielteilchen-Verarbeitung und Korrelations-Effekte, normale quantenchemische Verfahren mit Projektionstechniken, Greensche Funktionen und Monte-Carlo-Methoden werden erarbeitet. Anwendungsbereiche der Molekültheorie, von Halbleitern, supraleitender high-Tc-Materialien, etc., werden vorgestellt.

Electron Correlation in Molecules – ab initio Beyond Gaussian Quantum Chemistry

Author :
Publisher : Academic Press
ISBN 13 : 0128030615
Total Pages : 440 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Electron Correlation in Molecules – ab initio Beyond Gaussian Quantum Chemistry by :

Download or read book Electron Correlation in Molecules – ab initio Beyond Gaussian Quantum Chemistry written by and published by Academic Press. This book was released on 2016-01-28 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Electron Correlation in Molecules – ab initio Beyond Gaussian Quantum Chemistry presents a series of articles concerning important topics in quantum chemistry, including surveys of current topics in this rapidly-developing field that has emerged at the cross section of the historically established areas of mathematics, physics, chemistry, and biology. Presents surveys of current topics in this rapidly-developing field that has emerged at the cross section of the historically established areas of mathematics, physics, chemistry, and biology Features detailed reviews written by leading international researchers The volume includes review on all the topics treated by world renown authors and cutting edge research contributions.

Electron Correlation in Small Molecules

Author : Andrew Crowther Hurley
Publisher :
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Electron Correlation in Small Molecules by : Andrew Crowther Hurley

Download or read book Electron Correlation in Small Molecules written by Andrew Crowther Hurley and published by . This book was released on 1976 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Electron Correlations In The Solid State

Author : Norman H March
Publisher : World Scientific Publishing Company
ISBN 13 : 1911298941
Total Pages : 452 pages
Book Rating : 4.9/5 (112 download)

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Book Synopsis Electron Correlations In The Solid State by : Norman H March

Download or read book Electron Correlations In The Solid State written by Norman H March and published by World Scientific Publishing Company. This book was released on 1999-12-13 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book deals with the many-electron theory of the solid state. Mastery of the material in it will equip the reader for research in areas such as high-temperature superconductors and the fractional quantum Hall effect. The whole book has been designed to provide the diligent reader with a wide variety of approaches to many-electron theory.The level of the book is suitable for research workers and higher-degree students in a number of disciplines, embracing theoretical physics, materials science and solid-state chemistry. It should be useful not only to theorists in these areas but also to experimental scientists who desire to orient their programmes to address outstanding questions raised by many-body theory.

Methods in Computational Chemistry

Author : Stephen Wilson
Publisher : Springer Science & Business Media
ISBN 13 : 148991983X
Total Pages : 378 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Methods in Computational Chemistry by : Stephen Wilson

Download or read book Methods in Computational Chemistry written by Stephen Wilson and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: When, forty years ago, as a student of Charles Coulson in Oxford I began work in theoretical chemistry, I was provided with a Brunsviga calculator-a small mechanical device with a handle for propulsion, metal levers for setting the numbers, and a bell that rang to indicate overflow. What has since come to be known as computational chemistry was just beginning. There followed a long period in which the fundamental theory of the "golden age" (1925-1935) was extended and refined and in which the dreams of the early practitioners were gradually turned into hard arithmetic reality. As a still-computing survivor from the early postwar days now enjoying the benefits of unbelievably improved hardware, I am glad to contribute a foreword to this series and to have the opportunity of providing a little historical perspective. After the Brunsviga came the electromechanical machines of the late 1940s and early 1950s, and a great reduction in the burden of calculating molecular wavefunctions. We were now happy. At least for systems con taining a few electrons it was possible to make fully ab initio calculations, even though semiempirical models remained indispensable for most molecules of everyday interest. The 1950 papers of Hall and of Roothaan represented an important milestone along the road to larger-scale non empirical calculations, extending the prewar work of Hartree and Fock from many-electron atoms to many-electron molecules-and thus into "real chemistry.

Relativistic and Electron Correlation Effects in Molecules and Solids

Author : G.L. Malli
Publisher : Springer Science & Business Media
ISBN 13 : 1489913408
Total Pages : 478 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Relativistic and Electron Correlation Effects in Molecules and Solids by : G.L. Malli

Download or read book Relativistic and Electron Correlation Effects in Molecules and Solids written by G.L. Malli and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: The NATO Advanced Study Institute (ASI) on "R@lativistic and Electron Correlation Effects in Molecules and Solids", co-sponsored by Simon Fraser University (SFU) and the Natural Sciences and Engineering Research Council of Canada (NSERC) was held Aug 10- 21, 1992 at the University of British Columbia (UBC), Vancouver, Canada. A total of 90 lecturers and students with backgrounds in Chemistry, Physics, Mathematics and various interdisciplinary subjects attended the ASI. In my proposal submitted to NATO for financial support for this ASI, I pointed out that a NATO ASI on the effects of relativity in many-electron systems was held ten years ago, [See G.L. Malli, (ed) Relativistic Effects in Atoms, Molecules and Solids, Plenum Press, Vol B87, New York, 1983]. Moreover, at a NATO Advanced Research Workshop (ARW) on advanced methods for molecular electronic structure "an assessment of state-of the-art of Electron Correlation ... " was carried out [see C.E. Dykstra, (ed), Advanced Theories and Computational Approaches to the Electronic Structure of Molecules, D. Reidel Publishin~ Company, Vol C133, Dordrecht, The Netherlands 1984]. However, during the last five years, it has become clear that the relativistic and electron correlation effects must be included in the theoretical treatment of many-electron molecules and solids of heavy elements (with Z > 70). Molecules and clusters containing heavy elements are of crucial importance in a number of areas of Chemistry and Physics such as nuclear fuels, catalysis, surface science, etc.

Electron Correlations in Solids, Molecules, and Atoms

Author : Jozef T. Devreese
Publisher : Springer Science & Business Media
ISBN 13 : 1461334977
Total Pages : 440 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Electron Correlations in Solids, Molecules, and Atoms by : Jozef T. Devreese

Download or read book Electron Correlations in Solids, Molecules, and Atoms written by Jozef T. Devreese and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: From July 20 till 31, 1981, the Advanced Study Institute on "Electron Correlations in Solids, Molecules and Atoms", sponsored by NATO, was held at the University of Antwerpen (U.I.A.), in the Conference Center Corsendonk. In the last few years, the problem of many-electron correlations has gained renewed attention, due to recent experimental and theoretic al developments. From the theoretical point of view, more sophisticated treatments of the homogeneous electron gas model evolved, including dynamical aspects of the electron correlation in the dielectric response. Furthermore, the homogeneous electron gas, which served as a model for simple metals, was extended to include spin- and charge-density waves and phasons. The concept of elementary excitations too was introduced not only in perfectly ordered metallic crystals, but also in magnetic alloys, in liquid metals and alloys, in semiconductors, and even in molecules and atoms. Fairly accurate quantitative calculations of these effects recently became possible, ranging from plasmon frequencies in atoms, over dielectric response of semiconduc tors and resistivity in magnetic alloys to electron-hole liquids and their phase separation. The recent technological evolution allowed for more accurate measurements in previously unaccessible domains, e.g. X-ray scatter ing and fast electron energy loss at large wavevector. Moreover, these new developments opened new perspectives in physics, accompany ing or even introducing the new concepts which also evolved in the theory.

Methods in Computational Chemistry

Author : Stephen Wilson
Publisher : Springer
ISBN 13 : 9780306426452
Total Pages : 0 pages
Book Rating : 4.4/5 (264 download)

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Book Synopsis Methods in Computational Chemistry by : Stephen Wilson

Download or read book Methods in Computational Chemistry written by Stephen Wilson and published by Springer. This book was released on 1987-11-30 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: When, forty years ago, as a student of Charles Coulson in Oxford I began work in theoretical chemistry, I was provided with a Brunsviga calculator-a small mechanical device with a handle for propulsion, metal levers for setting the numbers, and a bell that rang to indicate overflow. What has since come to be known as computational chemistry was just beginning. There followed a long period in which the fundamental theory of the "golden age" (1925-1935) was extended and refined and in which the dreams of the early practitioners were gradually turned into hard arithmetic reality. As a still-computing survivor from the early postwar days now enjoying the benefits of unbelievably improved hardware, I am glad to contribute a foreword to this series and to have the opportunity of providing a little historical perspective. After the Brunsviga came the electromechanical machines of the late 1940s and early 1950s, and a great reduction in the burden of calculating molecular wavefunctions. We were now happy. At least for systems con taining a few electrons it was possible to make fully ab initio calculations, even though semiempirical models remained indispensable for most molecules of everyday interest. The 1950 papers of Hall and of Roothaan represented an important milestone along the road to larger-scale non empirical calculations, extending the prewar work of Hartree and Fock from many-electron atoms to many-electron molecules-and thus into "real chemistry.

Concepts in Electron Correlation

Author : Alex C. Hewson
Publisher : Springer Science & Business Media
ISBN 13 : 9781402014192
Total Pages : 400 pages
Book Rating : 4.0/5 (141 download)

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Book Synopsis Concepts in Electron Correlation by : Alex C. Hewson

Download or read book Concepts in Electron Correlation written by Alex C. Hewson and published by Springer Science & Business Media. This book was released on 2003-09-30 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of electron correlation is fundamental to condensed matter physics, playing an important role in systems including high temperature superconductors, heavy fermions, manganite compounds with colossal magnetoresistance, transition metal compounds with metal-insulator transitions, and mesoscopic systems like quantum dots and carbon nanotubes. The dialogue between experimentalists and theoreticians presented here is an assessment of our current understanding of the field; one that sets the agenda for future work.

Methods in Computational Molecular Physics

Author : Geerd H.F. Diercksen
Publisher : Springer Science & Business Media
ISBN 13 : 9400972008
Total Pages : 367 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Methods in Computational Molecular Physics by : Geerd H.F. Diercksen

Download or read book Methods in Computational Molecular Physics written by Geerd H.F. Diercksen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This NATO Advanced Study Institute was concerned with modern ab initio methods for the determination of the electronic structure of molecules. Recent years have seen considerable progress in computer technology and computer science and these developments have had a very significant influence on computational molecular physics. Progress in computer technology has led to increasingly larger and faster systems as well as powerful minicomputers. Simultaneous research in computer science has explored new methods for the optimal use of these resources. To a large extent develop ments in computer technology, computer science and computational molecular physics have been mutually dependent. The availability of new computational resources, particularly minicomputers and, more recently, vector processors, has stimulat'ed a great deal of research in molecular physics. Well established techniques have been reformulated to make more efficient use of the new computer technology and algorithms which were previously computationally intractable have now been successfully implemented. This research has given a new and exciting insight into molecular structure and molecular processes by enabling smaller systems to be studied in greater detail and larger systems to be studied for the first time.

Lecture Notes on Electron Correlation and Magnetism

Author : Patrik Fazekas
Publisher : World Scientific
ISBN 13 : 9810224745
Total Pages : 794 pages
Book Rating : 4.8/5 (12 download)

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Book Synopsis Lecture Notes on Electron Correlation and Magnetism by : Patrik Fazekas

Download or read book Lecture Notes on Electron Correlation and Magnetism written by Patrik Fazekas and published by World Scientific. This book was released on 1999 with total page 794 pages. Available in PDF, EPUB and Kindle. Book excerpt: Readership: Graduate students and researchers in condensed matter physics.

New Electron Correlation Methods and Their Applications, and Use of Atomic Orbitals with Exponential Asymptotes

Author : Monika Musial
Publisher : Elsevier
ISBN 13 : 0128235462
Total Pages : 352 pages
Book Rating : 4.1/5 (282 download)

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Book Synopsis New Electron Correlation Methods and Their Applications, and Use of Atomic Orbitals with Exponential Asymptotes by : Monika Musial

Download or read book New Electron Correlation Methods and Their Applications, and Use of Atomic Orbitals with Exponential Asymptotes written by Monika Musial and published by Elsevier. This book was released on 2021-09-28 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Quantum Chemistry presents surveys of current topics in this rapidly developing field one that has emerged at the cross section of the historically established areas of mathematics, physics, chemistry, and biology. It features detailed reviews written by leading international researchers. In this volume the readers are presented with an exciting combination of themes. Presents surveys of current topics in this rapidly-developing field that has emerged at the cross section of the historically established areas of mathematics, physics, chemistry and biology Features detailed reviews written by leading international researchers

Correlated Electrons in Quantum Matter

Author : Peter Fulde
Publisher : World Scientific
ISBN 13 : 9814397229
Total Pages : 552 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Correlated Electrons in Quantum Matter by : Peter Fulde

Download or read book Correlated Electrons in Quantum Matter written by Peter Fulde and published by World Scientific. This book was released on 2012-08-08 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: An understanding of the effects of electronic correlations in quantum systems is one of the most challenging problems in physics, partly due to the relevance in modern high technology. Yet there exist hardly any books on the subject which try to give a comprehensive overview on the field covering insulators, semiconductors, as well as metals. The present book tries to fill that gap. It intends to provide graduate students and researchers a comprehensive survey of electron correlations, weak and strong, in insulators, semiconductors and metals. This topic is a central one in condensed matter and beyond that in theoretical physics. The reader will have a better understanding of the great progress which has been made in the field over the past few decades. Contents:IntroductionIndependent ElectronsHomogeneous Electron GasDensity Functional TheoryWavefunction-Based MethodsCorrelated Ground-State WavefunctionsQuasiparticle ExcitationsIncoherent ExcitationsCoherent-Potential ApproximationsStrongly Correlated ElectronsTransition MetalsTransition-Metal OxidesHeavy QuasiparticlesExcitations with Fractional ChargesSuperconductivity Readership: Graduate students and researchers in condensed matter physics. Keywords:Electron Correlations;Many-body Theory;Quasi-Particles;Fractional Charges;Superconductivity;Many-Body WavefunctionsKey Features:Besides approaches based on Density Functional Theory, the importance of many-body wavefunction and projection methods is emphasizedConsiderable space is devoted to systems with strong electron correlations evident in high-Tc superconducting cupratesTransition metals and their oxides are discussed as well as compounds with heavy quasiparticlesDifferent competing methods for describing correlation effects are presentedAt various places a connection to relevant experiments is madeReviews: “Peter Fulde's book is well suited as an introduction to the general field of correlated electron systems… For this purpose some elementary chapters are included. Finally, the book is hard work but also fun to read because of its personal style.” Prof. Dr. Joachim Keller Institut für Theoretische Physik Universität Regensburg “Written with great pedagogical skill, it will be of interest to both experts in the field and graduate students. The book presents a consistent description of a new branch of solid state physics — the theory of strongly correlated systems which cannot be treated by conventional approaches as the density functional theory being successful for many years in describing band structure of solids. In this respect it can be used as a textbook for a university course on this new and fascinating branch of solid state physics.” Professor Nikolay Pladika Joint Institute for Nuclear Research “Peter Fulde provides an excellent introduction to this field. This book provides a very careful treatment of an extraordinarily wide range of topics, and is particularly strong on transition-metal oxides and heavy fermion systems. This carefully written book can be recommended to a very wide readership.” Contemporary Physics

Many-Body Methods for Atoms and Molecules

Author : Rajat Kumar Chaudhuri
Publisher : CRC Press
ISBN 13 : 1315356333
Total Pages : 161 pages
Book Rating : 4.3/5 (153 download)

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Book Synopsis Many-Body Methods for Atoms and Molecules by : Rajat Kumar Chaudhuri

Download or read book Many-Body Methods for Atoms and Molecules written by Rajat Kumar Chaudhuri and published by CRC Press. This book was released on 2017-02-17 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brings Readers from the Threshold to the Frontier of Modern Research Many-Body Methods for Atoms and Molecules addresses two major classes of theories of electron correlation: the many-body perturbation theory and coupled cluster methods. It discusses the issues related to the formal development and consequent numerical implementation of the methods from the standpoint of a practicing theoretician. The book will enable readers to understand the future development of state-of-the-art multi-reference coupled cluster methods as well as their perturbative counterparts. The book begins with an introduction to the issues relevant to the development of correlated methods in general. It next gives a formally rigorous treatment of aspects that pave the foundation toward the theoretical development of methods capable of tackling problems of electronic correlation. The authors go on to cover perturbation theory first in a fundamental way and then in the multi-reference context. They also describe the idea of state-specific theories, Fock space-based multi-reference coupled cluster methods, and basic issues of the single-reference coupled cluster method. The book concludes with state-of-the-art methods of modern electronic structure.