Local Density Approximations In Quantum Chemistry And Solid State Physics

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Local Density Approximations In Quantum Chemistry And Solid State Physics
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Author : Jens Peder Dahl
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Local Density Approximations In Quantum Chemistry And Solid State Physics written by Jens Peder Dahl 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 2013-11-11 with Science categories.
The· simplest picture of an atom, a molecule or a solid is the picture of its distribution of charge. It is obtained by specifying the positions of the atomic nuclei and by showing how the density, p(E), of the electronic charge-cloud varies from place to place. A much more detailed picture is provided by the many-electron wavefunction. This quantity shows not only the arrangement of the electrons with respect to the nuclei, but also the arrangement of the electrons with respect to each other, and it allows the evaluation of the total energy and other properties. The many-electron wavefunction is in principle obtained by solving the many-electron Schrodinger equation for the motion of the interacting electrons under the influ ence of the nuclei, but in practice the equation is unsolvable, and it is necessary to proceed by methods of approximation. Needless to say, .such methods will as a rule depend on the complexity of the system considered.
Energy Density Functional Theory Of Many Electron Systems
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Author : Eugene S. Kryachko
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Energy Density Functional Theory Of Many Electron Systems written by Eugene S. Kryachko 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.
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.
Ab Initio Methods In Quantum Chemistry Volume 67 Part 1
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Author : K. P. Lawley
language : en
Publisher: John Wiley & Sons
Release Date : 2009-09-08
Ab Initio Methods In Quantum Chemistry Volume 67 Part 1 written by K. P. Lawley 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 2009-09-08 with Science categories.
The Advances in Chemical Physics series provides the chemical physics and physical chemistry fields with a forum for critical, authoritative evaluations of advances in every area of the discipline. Filled with cutting-edge research reported in a cohesive manner not found elsewhere in the literature, each volume of the Advances in Chemical Physics series serves as the perfect supplement to any advanced graduate class devoted to the study of chemical physics.
Quantum Chemistry Of Solids
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Author : Robert A. Evarestov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-01-19
Quantum Chemistry Of Solids written by Robert A. Evarestov 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 2013-01-19 with Science categories.
Quantum Chemistry of Solids delivers a comprehensive account of the main features and possibilities of LCAO methods for the first principles calculations of electronic structure of periodic systems. The first part describes the basic theory underlying the LCAO methods applied to periodic systems and the use of Hartree-Fock(HF), Density Function theory(DFT) and hybrid Hamiltonians. The translation and site symmetry consideration is included to establish connection between k-space solid –state physics and real-space quantum chemistry. The inclusion of electron correlation effects for periodic systems is considered on the basis of localized crystalline orbitals. The possibilities of LCAO methods for chemical bonding analysis in periodic systems are discussed. The second part deals with the applications of LCAO methods for calculations of bulk crystal properties, including magnetic ordering and crystal structure optimization. In the second edition two new chapters are added in the application part II of the book. Chapter 12 deals with the recent LCAO calculations and illustrates the efficiency of the scalar-relativistic LCAO method for solids, containing heavy atoms. Chapter 13 deals with the symmetry properties and the recent applications of LCAO method to inorganic nanotubes. New material is added to chapter 9 devoted to LCAO calculations of perfect-crystal properties. The possibilities of LCAO method for calculation of the high-frequency dielectric constants of crystals and the description of phase transitions in solids are discussed. The efficiency of LCAO method in the quantum-mechanics-molecular dynamics approach to the interpretation of x-ray absorption and EXAFS spectra is illustrated. A new section is devoted to recent LCAO calculations of electronic, vibrational and magnetic properties of tungstates MeWO4 (Me: Fe,Co,Ni,Cu,Zn,Cd).
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.
Density Matrices And Density Functionals
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Author : R.M. Erdahl
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Density Matrices And Density Functionals written by R.M. Erdahl 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.
THE COLEMAN SYMPOSIUM This collection of papers is dedicated to Albert John Coleman for his enthusiastic devotion to teaching and research and his many scientific accomplishments. John was born in Toronto on May 20, 1918 and 21 years later graduated from the University of Toronto in mathematics. Along the way he teamed up with Irving Kaplansky and Nathan Mendelson to win the first William Lowell Putnam Mathematical Competition in 1938. He earned his M.A. at Princeton in 1942 and then his Ph.D. at Toronto in 1943 in relativistic quantum mechanics under the direction of Leopold Infeld. During this period he was secretary of the Student Christian Movement in Toronto. Later, in 1945, he became traveling secretary of the World's Student Christian Federation in Geneva and in this capacity visited some 100 universities in 20 countries in the next four years. He spent the 50's as a member of the faculty at the University of Toronto and for 20 years, starting in 1960, he served as Dupuis Professor of Mathematics and Head of the Department at Queen's University. Since 1983 he has been Professor Emeritus at Queen's.
Ab Initio Methods In Quantum Chemistry Volume 69 Part 2
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Author : K. P. Lawley
language : en
Publisher: John Wiley & Sons
Release Date : 2009-09-08
Ab Initio Methods In Quantum Chemistry Volume 69 Part 2 written by K. P. Lawley 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 2009-09-08 with Science categories.
The Advances in Chemical Physics series provides the chemical physics and physical chemistry fields with a forum for critical, authoritative evaluations of advances in every area of the discipline. Filled with cutting-edge research reported in a cohesive manner not found elsewhere in the literature, each volume of the Advances in Chemical Physics series serves as the perfect supplement to any advanced graduate class devoted to the study of chemical physics.
Lectures On Methods Of Electronic Structure Calculations Proceedings Of The Miniworkshop On Methods Of Electronic Structure Calculations And Working Group On Disordered Alloys
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Author : Ole Krogh Andersen
language : en
Publisher: World Scientific
Release Date : 1995-02-23
Lectures On Methods Of Electronic Structure Calculations Proceedings Of The Miniworkshop On Methods Of Electronic Structure Calculations And Working Group On Disordered Alloys written by Ole Krogh Andersen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-02-23 with Science categories.
Developments in the density functional theory and the methods of electronic structure calculations have made it possible to carry out ab-initio studies of a variety of materials efficiently and at a predictable level. This book covers many of those state-of-the-art developments and their applications to ordered and disordered materials, surfaces and interfaces and clusters, etc.
Theoretical Models Of Chemical Bonding
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Author : Zvonimir B. Maksic
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Theoretical Models Of Chemical Bonding written by Zvonimir B. Maksic 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.
The renowned theoretical physicist Victor F. Weisskopf rightly pointed out that a real understanding of natural phenomena implies a clear distinction between the essential and the peripheral. Only when we reach such an understanding - that is to say when we are able to separate the relevant from the irrelevant, will the phenomena no longer appear complex, but intelectually transparent. This statement, which is generally valid, reflects the very essence ofmodelling in the quantum theory of matter, on the molecular level in particular. Indeed, without theoretical models one would be swamped by too many details embodied in intricate accurate molecular wavefunctions. Further, physically justified simplificqtions enable studies of the otherwise intractable systems and/or phenomena. Finally, a lack of appropriate models would leave myriads of raw experimental data totally unrelated and incomprehensible. The present series ofbooks dwells on the most important models of chemical bonding and on the variety of its manifestations. In this volume the electronic structure and properties of molecules are considered in depth. Particular attention is focused on the nature of intramolecular interactions which in turn are revealed by various types ofmolecular spectroscopy. Emphasis is put on the conceptual and interpretive aspects of the theory in line with the general philosophy adopted in the series.