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Density Functional Theory Of Atoms And Molecules

Author: Robert G. Parr
Publisher: Oxford University Press
ISBN: 9780195357738
Size: 34.39 MB
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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.

Atoms In Molecules

Author: Richard F. W. Bader
Publisher: Oxford University Press
ISBN: 9780198551683
Size: 77.54 MB
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The molecular structure hypothesis--the proposition that a molecule is a collection of atoms linked by a network of bonds--provides the principal means of ordering and classifying observations in chemistry. It is not, however, directly related to the physics which govern the motions of atomic nuclei and electrons. This important book develops a theory establishing that molecular structure--with properties predicted and defined by the laws of quantum mechanics--can be explained in terms of underlying physics. As a result, the classification based upon the concept of atoms in molecules is freed from its empirical constraints and the full predictive power of quantum mechanics can be incorporated into the resulting theory--a theory of atoms in molecules. Eminently accessible and readable, this unique book will interest all physical scientists who use the concepts of atoms, bonds, and structure in the interpretation of their work.

Density Functional Theory

Author: Eberhard Engel
Publisher: Springer Science & Business Media
ISBN: 9783642140907
Size: 73.69 MB
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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.

Time Dependent Density Functional Theory

Author: Carsten Ullrich
Publisher: Oxford University Press
ISBN: 0199563020
Size: 13.94 MB
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Time-dependent density-functional theory (TDDFT) is a quantum mechanical approach for the dynamical properties of electrons in matter. It's widely used in (bio)chemistry and physics to calculate molecular excitation energies and optical properties of materials. This is the first graduate-level text on the formal framework and applications of TDDFT.

The Theory Of Intermolecular Forces

Author: Anthony Stone
Publisher: OUP Oxford
ISBN: 0191652954
Size: 79.63 MB
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The theory of intermolecular forces has advanced very greatly in recent years. It has become possible to carry out accurate calculations of intermolecular forces for molecules of useful size, and to apply the results to important practical applications such as understanding protein structure and function, and predicting the structures of molecular crystals. The Theory of Intermolecular Forces sets out the mathematical techniques that are needed to describe and calculate intermolecular interactions and to handle the more elaborate mathematical models. It describes the methods that are used to calculate them, including recent developments in the use of density functional theory and symmetry-adapted perturbation theory. The use of higher-rank multipole moments to describe electrostatic interactions is explained in both Cartesian and spherical tensor formalism, and methods that avoid the multipole expansion are also discussed. Modern ab initio perturbation theory methods for the calculation of intermolecular interactions are discussed in detail, and methods for calculating properties of molecular clusters and condensed matter for comparison with experiment are surveyed.

A Primer In Density Functional Theory

Author: Carlos Fiolhais
Publisher: Springer
ISBN: 3540370722
Size: 37.36 MB
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Density functional theory (DFT) is by now a well-established method for tackling the quantum mechanics of many-body systems. Originally applied to compute properties of atoms and simple molecules, DFT has quickly become a work horse for more complex applications in the chemical and materials sciences. The present set of lectures, spanning the whole range from basic principles to relativistic and time-dependent extensions of the theory, is the ideal introduction for graduate students or nonspecialist researchers wishing to familiarize themselves with both the basic and most advanced techniques in this field.

Materials Modelling Using Density Functional Theory

Author: Feliciano Giustino
Publisher: Oxford University Press
ISBN: 0199662436
Size: 79.11 MB
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This book is an introduction to the modern quantum theory of materials, and primarily addresses seniorundergraduate and first-year graduate students in the physical and chemical sciences, and in materials science and engineering. As advanced materials are becoming ubiquitous in every aspect of our life, the use of quantum mechanics to understand, predict, and design new materials is experiencing a fast-paced growth in academic and industrial research.Following this trend, atomistic materials modelling is becoming an important component of undergraduate science education, however there is still no book on this subject written primarily for anundergraduate readership. The book explains the fundamental ideas of density functional theory, and how this theory can be used as a powerful method for explaining and even predicting the properties of materials with stunning accuracy. This book can be used either as a complement to the quantum theory of materials, or as a primer in modern techniques of computational materials modelling using quantum mechanics.

Theory Of Intermolecular Forces

Author: H. Margenau
Publisher: Elsevier
ISBN: 1483151700
Size: 42.23 MB
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Theory of Intermolecular Forces deals with the exposition of the principles and techniques of the theory of intermolecular forces. The text focuses on the basic theory and surveys other aspects, with particular attention to relevant experiments. The initial chapters introduce the reader to the history of intermolecular forces. Succeeding chapters present topics on short, intermediate, and long range atomic interactions; properties of Coulomb interactions; shape-dependent forces between molecules; and physical adsorption. The book will be of good use to experts and students of quantum mechanics and advanced physical chemistry.

The Vsepr Model Of Molecular Geometry

Author: Ronald J Gillespie
Publisher: Courier Corporation
ISBN: 0486310523
Size: 11.15 MB
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Valence Shell Electron Pair Repulsion (VSEPR) theory is a simple technique for predicting the geometry of atomic centers in small molecules and molecular ions. This authoritative reference was written by Istvan Hartiggai and the developer of VSEPR theory, Ronald J. Gillespie. In addition to its value as a text for courses in molecular geometry and chemistry, it constitutes a classic reference for professionals. Starting with coverage of the broader aspects of VSEPR, this volume narrows its focus to a succinct survey of the methods of structural determination. Additional topics include the applications of the VSEPR model and its theoretical basis. Helpful data on molecular geometries, bond lengths, and bond angles appear in tables and other graphics.

Molecular Theory Of Capillarity

Author: J. S. Rowlinson
Publisher: Courier Corporation
ISBN: 0486317099
Size: 74.78 MB
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History of surface phenomena offers critical and detailed examination and assessment of modern theories, focusing on statistical mechanics and application of results in mean-field approximation to model systems. 1989 edition.