Electron Correlation in Molecules

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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.

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

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Publisher : Academic Press
ISBN 13 : 0128235470
Total Pages : 354 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 :

Download or read book New Electron Correlation Methods and their Applications, and Use of Atomic Orbitals with Exponential Asymptotes written by and published by Academic Press. This book was released on 2021-09-28 with total page 354 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

Methods in Computational Chemistry

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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.

Electron Correlation Methodology

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Publisher :
ISBN 13 :
Total Pages : 236 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Electron Correlation Methodology by : Angela K. Wilson

Download or read book Electron Correlation Methodology written by Angela K. Wilson and published by . This book was released on 2007 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling is becoming a significant component in the design and analysis of chemical systems in areas such as catalysis, nanomaterials, and biological systems. With rapidly advancing technology, there is an increasing need to model molecules that are quite large and complex, and to model such systems with reasonable accuracy. However, computational methods are generally more numerous and reliable for lighter, smaller molecules since calculations on smaller molecules are less computationally demanding than for larger molecules, and can take advantage of high accuracy, but prohibitively expensive, computational approaches. Two widely used approaches for chemical modeling are ab initio correlated methods and density functional theory. Though there is great interest in using these methods for high accuracy calculations on increasingly larger and more complex chemical systems, each approach currently has limitations. Ab initio methods suffer from a high "N-scaling" problem, where the N-scaling represents the computational cost (memory, disk space, and time requirements of the calculations), thus making high accuracy calculations. Density functional methods have a much lower N-scaling, and thus calculations can be done on much larger molecules. Unfortunately, density functional calculations are generally not as reliable as ab initio approaches, and sometimes, at best can only provide a qualitative description of properties of interest. This volume brings together researchers from throughout the world to assess recent progress in the field of electronic structure methodology, focusing upon ab initio and density functional developments, and to discuss future direction. This publication will impact a number of fields including computational chemistry, organic chemistry, and inorganic chemistry. It will help to provide a closer commonality of ab initio and density functional approaches, as it brings together many of the top senior and junior scientists in both fields to address a common problem: high accuracy modeling of larger chemical systems.

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

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Publisher :
ISBN 13 :
Total Pages : 334 pages
Book Rating : 4.:/5 (127 download)

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Book Synopsis New Electron Correlation Methods and Their Applications, and Use of Atomic Orbitals with Exponential Asymptotes by : Philip E. Hoggan

Download or read book New Electron Correlation Methods and Their Applications, and Use of Atomic Orbitals with Exponential Asymptotes written by Philip E. Hoggan and published by . This book was released on 2021 with total page 334 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."--publisher's web page, viewed September 28, 2021.

Theoretical Methods for Strongly Correlated Electrons

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Publisher : Springer Science & Business Media
ISBN 13 : 0387217177
Total Pages : 362 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Theoretical Methods for Strongly Correlated Electrons by : David Sénéchal

Download or read book Theoretical Methods for Strongly Correlated Electrons written by David Sénéchal and published by Springer Science & Business Media. This book was released on 2006-05-09 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on the purely theoretical aspects of strongly correlated electrons, this volume brings together a variety of approaches to models of the Hubbard type - i.e., problems where both localized and delocalized elements are present in low dimensions. The chapters are arranged in three parts. The first part deals with two of the most widely used numerical methods in strongly correlated electrons, the density matrix renormalization group and the quantum Monte Carlo method. The second part covers Lagrangian, Functional Integral, Renormalization Group, Conformal, and Bosonization methods that can be applied to one-dimensional or weakly coupled chains. The third part considers functional derivatives, mean-field, self-consistent methods, slave-bosons, and extensions.

Electron Correlation in Molecules

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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.

Development and Applications of Direct Methods for Electron Correlation Calculations

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Publisher :
ISBN 13 :
Total Pages : 270 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Development and Applications of Direct Methods for Electron Correlation Calculations by : Robin Kay Jurgens-Lutovsky

Download or read book Development and Applications of Direct Methods for Electron Correlation Calculations written by Robin Kay Jurgens-Lutovsky and published by . This book was released on 1993 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Electron Correlation in Molecules and Condensed Phases

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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.

Theoretical Study of Electron Correlation Driven Superconductivity in Systems with Coexisting Wide and Narrow Bands

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Publisher : Springer Nature
ISBN 13 : 9811506671
Total Pages : 122 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Theoretical Study of Electron Correlation Driven Superconductivity in Systems with Coexisting Wide and Narrow Bands by : Daisuke Ogura

Download or read book Theoretical Study of Electron Correlation Driven Superconductivity in Systems with Coexisting Wide and Narrow Bands written by Daisuke Ogura and published by Springer Nature. This book was released on 2019-10-23 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the study of superconductivity in systems with coexisting wide and narrow bands. It has been previously suggested that superconductivity can be enhanced in systems with coexisting wide and narrow bands when the Fermi level is near the narrow band edge. In this book, the authors study two problems concerning this mechanism in order to: (a) provide a systematic understanding of the role of strong electron correlation effects, and (b) propose a realistic candidate material which meets the ideal criteria for high-Tc superconductivity. Regarding the role of strong correlation effects, the FLEX+DMFT method is adopted. Based on systematic calculations, the pairing mechanism is found to be indeed valid even when the strong correlation effect is considered within the formalism. In the second half of the book, the authors propose a feasible candidate material by introducing the concept of the “hidden ladder” electronic structure, arising from the combination of the bilayer lattice structure and the anisotropic orbitals of the electrons. As such, the book contributes a valuable theoretical guiding principle for seeking unknown high-Tc superconductors.

Electron Correlations and Materials Properties 2

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Publisher : Springer Science & Business Media
ISBN 13 : 1475737602
Total Pages : 413 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Electron Correlations and Materials Properties 2 by : A. Gonis

Download or read book Electron Correlations and Materials Properties 2 written by A. Gonis and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second in a series of "International Workshops on Electron Correlations and Materials Properties. " The aim of this series of workshops is to provide a periodic (triennial) and in-depth assessment of advances in the study and understanding of the effects that electron-electron interactions in solids have on the determination of measurable properties of materials. The workshop is structured to include exposure to experimental work, to phenomenology, and to ab initio theory. Since correlation effects are pervasive the workshop aims to concentrate on the identification of promising developing methodology, experimental and theoretical, addressing the most critical frontier issues of electron correlations on the properties of materials. This series of workshops is distinguished from other topical meetings and conferences in that it strongly promotes an interdisciplinary approach to the study of correlations, involving the fields of quantum chemistry, physics, and materials science. The First Workshop was held June 28-July 3, 1998, and a proceedings of the workshop was published by KluwerlPlenum. The Second Workshop was held June 24- 29,2001, and this volume contains the proceedings of that scientific meeting. Through the publications of proceedings, the workshop attempts to disseminate the information gathered during the discussions held at the Workshop to the wider scientific community, and to establish a record of advances in the field.

Electron-Electron Correlation Effects in Low-Dimensional Conductors and Superconductors

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Publisher : Springer Science & Business Media
ISBN 13 : 3642767532
Total Pages : 170 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis Electron-Electron Correlation Effects in Low-Dimensional Conductors and Superconductors by : Alexandr A. Ovchinnikov

Download or read book Electron-Electron Correlation Effects in Low-Dimensional Conductors and Superconductors written by Alexandr A. Ovchinnikov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in the physics and chemistry of low-dimensional systems have been really magnificent in the last few decades. Hundreds of quasi-one-dimensional and quasi-two-dimensional systems have been synthesized and studied. The most popular representatives of quasi-one-dimensional materials are polyacethylenes CH [1] and conducting donor-acceptor molecular crystals TIF z TCNQ. Examples of quasi-two-dimensional systems are high temperature su perconductors (HTSC) based on copper oxides LA2CU04, YBa2Cu306+y and organic superconductors based on BEDT -TIP molecules. The properties of such one- and two-dimensional materials are not yet fully understood. On the one hand, the equations of motion of one-dimensional sys tems are rather simple, which facilitates rigorous solutions of model problems. On the other hand, manifestations of various interactions in one-dimensional systems are rather peculiar. This refers, in particular, to electron--electron and electron-phonon interactions. Even within the limit of a weak coupling con stant electron--electron correlations produce an energy gap in the spectrum of one-dimensional metals implying a Mott transition from metal to semiconductor state. In all these cases perturbation theory is inapplicable. Which is one of the main difficulties on the way towards a comprehensive theory of quasi-one-dimensional systems. - This meeting held at the Institute for Theoretical Physics in Kiev May 15-18 1990 was devoted to related problems. The papers selected for this volume are grouped into three sections.

Electron Correlation in Molecules – ab initio Beyond Gaussian Quantum Chemistry

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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.

Methods in Computational Chemistry

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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.

Methods in Computational Chemistry

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (929 download)

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Book Synopsis Methods in Computational Chemistry by :

Download or read book Methods in Computational Chemistry written by and published by . This book was released on 1987 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Electron Correlations in Molecules and Solids

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Publisher : Springer Science & Business Media
ISBN 13 : 3642973094
Total Pages : 428 pages
Book Rating : 4.6/5 (429 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 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum chemistry and solid-state theory are two important related fields of research that have grown up with almost no cross communication. This book bridges the gap between the two. In the first half, new concepts for treating weak and strong correlations are developed, and standard quantum-chemical methods, as well as density functional, Green's function, functional integral, and Monte Carlo methods are discussed. The second half discusses applications of the theory to molecules, semiconductors, homogeneous metallic systems, transition metals, and strongly correlated systems such as heavy-fermion systems and the new high-Tc superconducting materials.

Lecture Notes on Electron Correlation and Magnetism

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Author :
Publisher : World Scientific
ISBN 13 : 9812386270
Total Pages : 794 pages
Book Rating : 4.8/5 (123 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: This volume attempts to fill the gap between standard introductions to solid state physics, and textbooks which give a sophisticated treatment of strongly correlated systems. Starting with the basics of the microscopic theory of magnetism, one proceeds with relatively elementary arguments to such topics of current interest as the Mott transition, heavy fermions, and quantum magnetism. The basic approach is that magnetism is one of the manifestations of electronOCoelectron interaction, and its treatment should be part of a general discussion of electron correlation effects. Though the text is primarily theoretical, a large number of illustrative examples are brought from the experimental literature. There are many problems, with detailed solutions. The book is based on the material of lectures given at the Diploma Course of the International Center for Theoretical Physics, Trieste, and later at the Technical University and the R. EAtvAs University of Budapest, Hungary. Sample Chapter(s). Chapter 1.1: Magnetism and Other Effects of Electron-Electron Interaction (483 KB). Chapter 1.2: Sources of Magnetic Fields (311 KB). Chapter 1.3: Getting Acquainted: Magnetite (692 KB). Chapter 1.4: Variety of Correlated Systems: An Outline of the Course (307 KB). Contents: Atoms, Ions, and Molecules; Crystal Field Theory; Mott Transition and Hubbard Model; Mott Insulators; Heinsenberg Magnets; Itinerant Electron Magnetism; Ferromagnetism in Hubbard Models; The Gutzwiller Variational Method; The Correlated Metallic State; Mixed Valence and Heavy Fermions; Quantum Hall Effect; Hydrogen Atom; Single-Spin-Flip Ansatz; Gutzwiller Approximation; SchriefferOCoWolff Transformation. Readership: Graduate students and researchers in condensed matter physics."