The Fundamentals Of Electron Density Density Matrix And Density Functional Theory In Atoms Molecules And The Solid State


The Fundamentals Of Electron Density Density Matrix And Density Functional Theory In Atoms Molecules And The Solid State
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The Fundamentals Of Electron Density Density Matrix And Density Functional Theory In Atoms Molecules And The Solid State


The Fundamentals Of Electron Density Density Matrix And Density Functional Theory In Atoms Molecules And The Solid State
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Author : N.I. Gidopoulos
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

The Fundamentals Of Electron Density Density Matrix And Density Functional Theory In Atoms Molecules And The Solid State written by N.I. Gidopoulos and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Science categories.


This volume records the proceedings of a Forum on The Fundamentals of Electron Density, Density Matrix and Density Functional Theory in Atoms, Molecules and the Solid State held at the Coseners' House, Abingdon-on-Thames, Oxon. over the period 31st May - 2nd June, 2002. The forum consisted of 26 oral and poster presentations followed by a discussion structure around questions and comments submitted by the participants (and others who had expressed an interest) in advance of the meeting. Quantum mechanics provides a theoretical foundation for our under standing of the structure and properties of atoms, molecules and the solid state in terms their component particles, electrons and nuclei. (Rel ativistic quantum mechanics is required for molecular systems contain ing heavy atoms.) However, the solution of the equations of quantum mechanics yields a function, a wave function, which depends on the co ordinates, both space and spin, of all of the particles in the system. This functions contains much more information than is required to yield the energy or other property.



Density Functional Theory Of Atoms And Molecules


Density Functional Theory Of Atoms And Molecules
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Author : Robert G. Parr
language : en
Publisher: Oxford University Press
Release Date : 1994-05-26

Density Functional Theory Of Atoms And Molecules written by Robert G. Parr and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-05-26 with Science categories.


This book is a rigorous, unified account of the fundamental principles of the density-functional theory of the electronic structure of matter and its applications to atoms and molecules. Containing a detailed discussion of the chemical potential and its derivatives, it provides an understanding of the concepts of electronegativity, hardness and softness, and chemical reactivity. Both the Hohenberg-Kohn-Sham and the Levy-Lieb derivations of the basic theorems are presented, and extensive references to the literature are included. Two introductory chapters and several appendices provide all the background material necessary beyond a knowledge of elementary quantum theory. The book is intended for physicists, chemists, and advanced students in chemistry.



The Fundamentals Of Density Functional Theory


The Fundamentals Of Density Functional Theory
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Author :
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

The Fundamentals Of Density Functional Theory written by and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.


Density functional methods form the basis of a diversified and very active area of present days computational atomic, molecular, solid state and even nuclear physics. A large number of computational physicists use these meth ods merely as a recipe, not reflecting too much upon their logical basis. One also observes, despite of their tremendeous success, a certain reservation in their acceptance on the part of the more theoretically oriented researchers in the above mentioned fields. On the other hand, in the seventies (Thomas Fermi theory) and in the eighties (Hohenberg-Kohn theory), density func tional concepts became subjects of mathematical physics. In 1994 a number of activities took place to celebrate the thirtieth an niversary of Hohenberg-Kohn-Sham theory. I took this an occassion to give lectures on density functional theory to senior students and postgraduates in the winter term of 1994, particularly focusing on the logical basis of the the ory. Preparing these lectures, the impression grew that, although there is a wealth of monographs and reviews in the literature devoted to density func tional theory, the focus is nearly always placed upon extending the practical applications of the theory and on the development of improved approxima tions. The logical foundadion of the theory is found somewhat scattered in the existing literature, and is not always satisfactorily presented. This situation led to the idea to prepare a printed version of the lecture notes, which resulted in the present text.



Time Dependent Density Functional Theory


Time Dependent Density Functional Theory
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Author : Carsten A. Ullrich
language : en
Publisher: OUP Oxford
Release Date : 2011-12-22

Time Dependent Density Functional Theory written by Carsten A. Ullrich and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-22 with Science categories.


Time-dependent density-functional theory (TDDFT) describes the quantum dynamics of interacting electronic many-body systems formally exactly and in a practical and efficient manner. TDDFT has become the leading method for calculating excitation energies and optical properties of large molecules, with accuracies that rival traditional wave-function based methods, but at a fraction of the computational cost. This book is the first graduate-level text on the concepts and applications of TDDFT, including many examples and exercises, and extensive coverage of the literature. The book begins with a self-contained review of ground-state DFT, followed by a detailed and pedagogical treatment of the formal framework of TDDFT. It is explained how excitation energies can be calculated from linear-response TDDFT. Among the more advanced topics are time-dependent current-density-functional theory, orbital functionals, and many-body theory. Many applications are discussed, including molecular excitations, ultrafast and strong-field phenomena, excitons in solids, van der Waals interactions, nanoscale transport, and molecular dynamics.



Advances In Atomic Molecular And Optical Physics


Advances In Atomic Molecular And Optical Physics
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Author :
language : en
Publisher: Academic Press
Release Date : 2015-11-19

Advances In Atomic Molecular And Optical Physics written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-19 with Science categories.


Advances in Atomic, Molecular, and Optical Physics provides a comprehensive compilation of recent developments in a field that is in a state of rapid growth, as new experimental and theoretical techniques are used on many problems, both old and new. Topics covered include related applied areas, such as atmospheric science, astrophysics, surface physics, and laser physics, with timely articles written by distinguished experts that contain relevant review material and detailed descriptions of important developments in the field. Presents the work of international experts in the field Comprehensive articles compile recent developments in a field that is experiencing rapid growth, with new experimental and theoretical techniques emerging Ideal for users interested in optics, excitons, plasmas, and thermodynamics Topics covered include atmospheric science, astrophysics, surface physics, and laser physics, amongst others



Density Functional Theory Of Molecules Clusters And Solids


Density Functional Theory Of Molecules Clusters And Solids
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Author : D.E. Ellis
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Density Functional Theory Of Molecules Clusters And Solids written by D.E. Ellis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.


Rapid advances are taking place in the application of density functional theory (DFT) to describe complex electronic structures, to accurately treat large systems and to predict physical and chemical properties. Both theoretical content and computational methodology are developing at a pace which offers researchers new opportunities in areas such as quantum chemistry, cluster science, and solid state physics. This volume contains ten contributions by leading scientists in the field and provides an authoritative overview of the most important developments. The book focuses on the following themes: determining adequate approximations for the many-body problem of electronic correlations; how to transform these approximations into computational algorithms; applications to discover and predict properties of electronic systems; and developing the theory. For researchers in surface chemistry, catalysis, ceramics and inorganic chemistry.



The Quantum Theory Of Atoms In Molecules


The Quantum Theory Of Atoms In Molecules
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Author : Chérif F. Matta
language : en
Publisher: John Wiley & Sons
Release Date : 2007-06-27

The Quantum Theory Of Atoms In Molecules written by Chérif F. Matta and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-27 with Science categories.


This book distills the knowledge gained from research into atoms in molecules over the last 10 years into a unique, handy reference. Throughout, the authors address a wide audience, such that this volume may equally be used as a textbook without compromising its research-oriented character. Clearly structured, the text begins with advances in theory before moving on to theoretical studies of chemical bonding and reactivity. There follow separate sections on solid state and surfaces as well as experimental electron densities, before finishing with applications in biological sciences and drug-design. The result is a must-have for physicochemists, chemists, physicists, spectroscopists and materials scientists.



Density Functional Theory


Density Functional Theory
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Author : Eberhard Engel
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-02-14

Density Functional Theory written by Eberhard Engel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-14 with Science categories.


Density Functional Theory (DFT) has firmly established itself as the workhorse for atomic-level simulations of condensed phases, pure or composite materials and quantum chemical systems. This work offers a rigorous and detailed introduction to the foundations of this theory, up to and including such advanced topics as orbital-dependent functionals as well as both time-dependent and relativistic DFT. Given the many ramifications of contemporary DFT, the text concentrates on the self-contained presentation of the basics of the most widely used DFT variants: this implies a thorough discussion of the corresponding existence theorems and effective single particle equations, as well as of key approximations utilized in implementations. The formal results are complemented by selected quantitative results, which primarily aim at illustrating the strengths and weaknesses of particular approaches or functionals. The structure and content of this book allow a tutorial and modular self-study approach: the reader will find that all concepts of many-body theory which are indispensable for the discussion of DFT - such as the single-particle Green's function or response functions - are introduced step by step, along with the actual DFT material. The same applies to basic notions of solid state theory, such as the Fermi surface of inhomogeneous, interacting systems. In fact, even the language of second quantization is introduced systematically in an Appendix for readers without formal training in many-body theory.



Advances In The Theory Of Atomic And Molecular Systems


Advances In The Theory Of Atomic And Molecular Systems
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Author : Piotr Piecuch
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-09-30

Advances In The Theory Of Atomic And Molecular Systems written by Piotr Piecuch and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-30 with Science categories.


Advances in the Theory of Atomic and Molecular Systems, is a collection of contributions presenting recent theoretical and computational developments that provide new insights into the structure, properties, and behavior of a variety of atomic and molecular systems. This volume (subtitled “Dynamics, Spectroscopy, Clusters, and Nanostructures”) deals with the topics of “Quantum Dynamics and Spectroscopy”, “Complexes and Clusters”, and “Nanostructures and Complex Systems”. This volume is an invaluable resource for faculty, graduate students, and researchers interested in theoretical and computational chemistry and physics, physical chemistry and chemical physics, molecular spectroscopy, and related areas of science and engineering.



Chemical Modelling


Chemical Modelling
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Author : Michael Springborg
language : en
Publisher: Royal Society of Chemistry
Release Date : 2016-11-01

Chemical Modelling written by Michael Springborg and has been published by Royal Society of Chemistry this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-01 with Science categories.


Chemical modelling covers a wide range of disciplines and with the increase in volume, velocity and variety of information, researchers can find it difficult to keep up to date with the literature in this field. This book is the first stop for any materials scientist, biochemist, chemist or molecular physicist wishing to acquaint themselves with major developments in the applications and theory of chemical modelling. Containing both comprehensive and critical reviews, its coverage includes materials for energy storage, nanoflakes, chemical modelling of fluidics near surfaces and organic solar cells.