Self Consistent Field

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Methods of Electronic Structure Theory

Author : Henry F. Schaefer
Publisher : Springer Science & Business Media
Page : 476 pages
File Size : 44,9 Mb
Release : 2013-06-29
Category : Science
ISBN : 9781475708875

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Methods of Electronic Structure Theory by Henry F. Schaefer Pdf

These two volumes deal with the quantum theory of the electronic structure of molecules. Implicit in the term ab initio is the notion that approximate solutions of Schrödinger's equation are sought "from the beginning," i. e. , without recourse to experimental data. From a more pragmatic viewpoint, the distin guishing feature of ab initio theory is usually the fact that no approximations are involved in the evaluation of the required molecular integrals. Consistent with current activity in the field, the first of these two volumes contains chapters dealing with methods per se, while the second concerns the application of these methods to problems of chemical interest. In asense, the motivation for these volumes has been the spectacular recent success of ab initio theory in resolving important chemical questions. However, these applications have only become possible through the less visible but equally important efforts of those develop ing new theoretical and computational methods and models. Henry F Schaefer Vll Contents Contents of Volume 4 XIX Chapter 1. Gaussian Basis Sets for Molecular Calculations Thom. H. Dunning, Ir. and P. Ieffrey Hay 1. Introduction . . . . . . . . . . . . . . . . 1 1. 1. Slater Functions and the Hydrogen Moleeule 1 1. 2. Gaussian Functions and the Hydrogen Atom 3 2. Hartree-Fock Calculations on the First Row Atoms 5 2. 1. Valence States of the First Row Atoms 6 7 2. 2. Rydberg States of the First Row Atoms 9 2. 3.

Modern Quantum Chemistry

Author : Attila Szabo,Neil S. Ostlund
Publisher : Courier Corporation
Page : 480 pages
File Size : 41,8 Mb
Release : 2012-06-08
Category : Science
ISBN : 9780486134598

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Modern Quantum Chemistry by Attila Szabo,Neil S. Ostlund Pdf

This graduate-level text explains the modern in-depth approaches to the calculation of electronic structure and the properties of molecules. Largely self-contained, it features more than 150 exercises. 1989 edition.

Self-consistent Field

Author : Ramón Carbó,Mariusz Klobukowski
Publisher : Elsevier Publishing Company
Page : 944 pages
File Size : 50,9 Mb
Release : 1990
Category : Science
ISBN : UOM:39015018529563

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Self-consistent Field by Ramón Carbó,Mariusz Klobukowski Pdf

The Self Consistent Field (SCF) theory is a fundamental technique for quantum mechanical studies on chemical systems. Over the past ten years there have been significant advances in the SCF theory and its applications to a wide range of chemical problems. In the present volume leading researchers in the field address topics such as molecular properties, molecular interactions, reactivity, transition state theory, geometry optimization, conformational analysis and potential surfaces. Systems described include; atoms, diatomic molecules, small molecules, large molecules, biological molecules, polymers and solid-state. The authors approach the various topics in a theoretical, computational and numerical manner. Being the first comprehensive text available on the subject matter, the book is suitable for a wide audience from graduate students to research workers.

Atomic Structure

Author : Colm T. Whelan
Publisher : Morgan & Claypool Publishers
Page : 70 pages
File Size : 49,9 Mb
Release : 2018-05-03
Category : Science
ISBN : 9781681748795

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Atomic Structure by Colm T. Whelan Pdf

A knowledge of atomic theory should be an essential part of every physicist's and chemist's toolkit. This book provides an introduction to the basic ideas that govern our understanding of microscopic matter, and the essential features of atomic structure and spectra are presented in a direct and easily accessible manner. Semi-classical ideas are reviewed and an introduction to the quantum mechanics of one and two electron systems and their interaction with external electromagnetic fields is featured. Multielectron atoms are also introduced, and the key methods for calculating their properties reviewed.

Self-Consistent Fields in Atoms

Author : N. H. March
Publisher : Elsevier
Page : 244 pages
File Size : 54,7 Mb
Release : 2016-06-28
Category : Science
ISBN : 9781483140162

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Self-Consistent Fields in Atoms by N. H. March Pdf

Self-Consistent Fields in Atoms: Hartree and Thomas-Fermi atoms centers on atomic properties- energy levels, binding energies, how atoms scatter X-rays, what magnetic properties they have, and so on. This book is organized into two parts. Part I contains topics including central field wave functions and angular momentum operators; concept of self-consistent field; Thomas-Fermi atom; energies of atoms and ions; X-ray scattering and electron densities in atoms; and relativistic effects in heavy atoms. Part II discusses the wave mechanics of an atom with a non-Coulomb central field; the calculation of atomic fields; a statistical method for the determination of some atomic properties and the application of this method to the theory of the periodic system of elements; and a simplification of the Hartree-Fock method.

Theoretical Methods for Strongly Correlated Electrons

Author : David Sénéchal,Andre-Marie Tremblay,Claude Bourbonnais
Publisher : Springer Science & Business Media
Page : 362 pages
File Size : 42,8 Mb
Release : 2006-05-09
Category : Science
ISBN : 9780387217178

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Theoretical Methods for Strongly Correlated Electrons by David Sénéchal,Andre-Marie Tremblay,Claude Bourbonnais Pdf

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.

An Advanced Course in Computational Nuclear Physics

Author : Morten Hjorth-Jensen,Maria Paola Lombardo,Ubirajara van Kolck
Publisher : Springer
Page : 644 pages
File Size : 40,5 Mb
Release : 2017-05-09
Category : Science
ISBN : 9783319533360

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An Advanced Course in Computational Nuclear Physics by Morten Hjorth-Jensen,Maria Paola Lombardo,Ubirajara van Kolck Pdf

This graduate-level text collects and synthesizes a series of ten lectures on the nuclear quantum many-body problem. Starting from our current understanding of the underlying forces, it presents recent advances within the field of lattice quantum chromodynamics before going on to discuss effective field theories, central many-body methods like Monte Carlo methods, coupled cluster theories, the similarity renormalization group approach, Green’s function methods and large-scale diagonalization approaches. Algorithmic and computational advances show particular promise for breakthroughs in predictive power, including proper error estimates, a better understanding of the underlying effective degrees of freedom and of the respective forces at play. Enabled by recent improvements in theoretical, experimental and numerical techniques, the state-of-the art applications considered in this volume span the entire range, from our smallest components – quarks and gluons as the mediators of the strong force – to the computation of the equation of state for neutron star matter. The lectures presented provide an in-depth exposition of the underlying theoretical and algorithmic approaches as well details of the numerical implementation of the methods discussed. Several also include links to numerical software and benchmark calculations, which readers can use to develop their own programs for tackling challenging nuclear many-body problems.

Plasma Physics and Fusion Energy

Author : Jeffrey P. Freidberg
Publisher : Cambridge University Press
Page : 6 pages
File Size : 55,5 Mb
Release : 2008-07-10
Category : Science
ISBN : 9781139462150

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Plasma Physics and Fusion Energy by Jeffrey P. Freidberg Pdf

There has been an increase in interest worldwide in fusion research over the last decade and a half due to the recognition that a large number of new, environmentally attractive, sustainable energy sources will be needed to meet ever increasing demand for electrical energy. Based on a series of course notes from graduate courses in plasma physics and fusion energy at MIT, the text begins with an overview of world energy needs, current methods of energy generation, and the potential role that fusion may play in the future. It covers energy issues such as the production of fusion power, power balance, the design of a simple fusion reactor and the basic plasma physics issues faced by the developers of fusion power. This book is suitable for graduate students and researchers working in applied physics and nuclear engineering. A large number of problems accumulated over two decades of teaching are included to aid understanding.

COSMO-RS

Author : Andreas Klamt
Publisher : Elsevier
Page : 247 pages
File Size : 40,6 Mb
Release : 2005-07-26
Category : Technology & Engineering
ISBN : 9780080455532

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COSMO-RS by Andreas Klamt Pdf

The COSMO-RS technique is a novel method for predicting the thermodynamic properties of pure and mixed fluids which are important in many areas, ranging from chemical engineering to drug design. COSMO-RS, From Quantum Chemistry to Fluid Phase Thermodynamics and Drug Design is about this novel technology, which has recently proven to be the most reliable and efficient tool for the prediction of vapour-liquid equilibria. In contrast to group contribution methods, which depend on an extremely large number of experimental data, COSMO-RS calculates the thermodynamic data from molecular surface polarity distributions, resulting from quantum chemical calculations of the individual compounds in the mixture. In this book, the author cleverly combines a vivid overview of the partly demanding theoretical steps with a deeper analysis of their scientific background and justification. Aimed at theoretical chemists, computational chemists, physical chemists, chemical engineers, thermodynamicists as well as students,academic and industrial experts, COSMO-RS, From Quantum Chemistry to Fluid Phase Thermodynamics and Drug Design provides a novel viewpoint to anyone looking to gain more insight into the theory and potential of the unique method, COSMO-RS. The only book currently available on COSMO-RS technique Provides a novel viewpoint for the scientific understanding and for the practical quantitative treatment of fluid phase thermodynamics Includes illustrative examples of the COSMOtherm program

The Calculation of Atomic Structures

Author : Douglas Rayner Hartree
Publisher : Unknown
Page : 204 pages
File Size : 46,8 Mb
Release : 1957
Category : Atomic structure
ISBN : UCAL:$B113453

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The Calculation of Atomic Structures by Douglas Rayner Hartree Pdf

Quantum Chemistry and Dynamics of Excited States

Author : Leticia González,Roland Lindh
Publisher : John Wiley & Sons
Page : 52 pages
File Size : 48,5 Mb
Release : 2021-02-01
Category : Science
ISBN : 9781119417750

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Quantum Chemistry and Dynamics of Excited States by Leticia González,Roland Lindh Pdf

An introduction to the rapidly evolving methodology of electronic excited states For academic researchers, postdocs, graduate and undergraduate students, Quantum Chemistry and Dynamics of Excited States: Methods and Applications reports the most updated and accurate theoretical techniques to treat electronic excited states. From methods to deal with stationary calculations through time-dependent simulations of molecular systems, this book serves as a guide for beginners in the field and knowledge seekers alike. Taking into account the most recent theory developments and representative applications, it also covers the often-overlooked gap between theoretical and computational chemistry. An excellent reference for both researchers and students, Excited States provides essential knowledge on quantum chemistry, an in-depth overview of the latest developments, and theoretical techniques around the properties and nonadiabatic dynamics of chemical systems. Readers will learn: ● Essential theoretical techniques to describe the properties and dynamics of chemical systems ● Electronic Structure methods for stationary calculations ● Methods for electronic excited states from both a quantum chemical and time-dependent point of view ● A breakdown of the most recent developments in the past 30 years For those searching for a better understanding of excited states as they relate to chemistry, biochemistry, industrial chemistry, and beyond, Quantum Chemistry and Dynamics of Excited States provides a solid education in the necessary foundations and important theories of excited states in photochemistry and ultrafast phenomena.

Potential Energy Hypersurfaces

Author : Paul G. Mezey
Publisher : Elsevier Publishing Company
Page : 564 pages
File Size : 51,5 Mb
Release : 1987
Category : Science
ISBN : UOM:39015016000005

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Potential Energy Hypersurfaces by Paul G. Mezey Pdf

The importance of the potential surface model has led naturally to a large number of studies on the subject, where the emphasis has usually been placed on lower dimensional problems, such as the reaction dynamics of diatomic to four-atom systems, or conformational problems restricted to few internal rotations. The purposes and methods of this book are, however, somewhat different from those of most studies on potential surface problems. The emphasis here is placed on those fundamental properties of potential energy hypersurfaces that are general for higher dimensions, that is, for larger molecules. The study of these properties requires some of the tools of global analysis that are not among the routine mathematical techniques of quantum chemists: topology, homotopy, and homology. This book provides the reader with an introduction to the fundamentals and to some of the more recent developments in the theory of potential energy hypersurfaces. The text is fairly self-contained. It requires no previous mathematical knowledge from the reader beyond that needed in an undergraduate quantum chemistry course.

A First Course in Mathematical Physics

Author : Colm T. Whelan
Publisher : John Wiley & Sons
Page : 343 pages
File Size : 45,5 Mb
Release : 2016-06-27
Category : Science
ISBN : 9783527413331

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A First Course in Mathematical Physics by Colm T. Whelan Pdf

The book assumes next to no prior knowledge of the topic. The first part introduces the core mathematics, always in conjunction with the physical context. In the second part of the book, a series of examples showcases some of the more conceptually advanced areas of physics, the presentation of which draws on the developments in the first part. A large number of problems helps students to hone their skills in using the presented mathematical methods. Solutions to the problems are available to instructors on an associated password-protected website for lecturers.