Introduction to Relativistic Quantum Chemistry
This book provides an introduction to the essentials of relativistic effects in quantum chemistry, and a reference work that collects all the major developments in this field. It is designed for the graduate student and the computational chemist with a good background in nonrelativistic theory. In addition to explaining the necessary theory in detail, at a level that the non-expert and the student should readily be able to follow, the book discusses the implementation of the theory and practicalities of its use in calculations. After a brief introduction to classical relativity and electromagnetism, the Dirac equation is presented, and its symmetry, atomic solutions, and interpretation are explored. Four-component molecular methods are then developed: self-consistent field theory and the use of basis sets, double-group and time-reversal symmetry, correlation methods, molecular properties, and an overview of relativistic density functional theory. The emphases in this section are on the basics of relativistic theory and how relativistic theory differs from nonrelativistic theory. Approximate methods are treated next, starting with spin separation in the Dirac equation, and proceeding to the Foldy-Wouthuysen, Douglas-Kroll, and related transformations, Breit-Pauli and direct perturbation theory, regular approximations, matrix approximations, and pseudopotential and model potential methods. For each of these approximations, one-electron operators and many-electron methods are developed, spin-free and spin-orbit operators are presented, and the calculation of electric and magnetic properties is discussed. The treatment of spin-orbit effects with correlation rounds off the presentation of approximate methods. The book concludes with a discussion of the qualitative changes in the picture of structure and bonding that arise from the inclusion of relativity.
1101398265
Introduction to Relativistic Quantum Chemistry
This book provides an introduction to the essentials of relativistic effects in quantum chemistry, and a reference work that collects all the major developments in this field. It is designed for the graduate student and the computational chemist with a good background in nonrelativistic theory. In addition to explaining the necessary theory in detail, at a level that the non-expert and the student should readily be able to follow, the book discusses the implementation of the theory and practicalities of its use in calculations. After a brief introduction to classical relativity and electromagnetism, the Dirac equation is presented, and its symmetry, atomic solutions, and interpretation are explored. Four-component molecular methods are then developed: self-consistent field theory and the use of basis sets, double-group and time-reversal symmetry, correlation methods, molecular properties, and an overview of relativistic density functional theory. The emphases in this section are on the basics of relativistic theory and how relativistic theory differs from nonrelativistic theory. Approximate methods are treated next, starting with spin separation in the Dirac equation, and proceeding to the Foldy-Wouthuysen, Douglas-Kroll, and related transformations, Breit-Pauli and direct perturbation theory, regular approximations, matrix approximations, and pseudopotential and model potential methods. For each of these approximations, one-electron operators and many-electron methods are developed, spin-free and spin-orbit operators are presented, and the calculation of electric and magnetic properties is discussed. The treatment of spin-orbit effects with correlation rounds off the presentation of approximate methods. The book concludes with a discussion of the qualitative changes in the picture of structure and bonding that arise from the inclusion of relativity.
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Introduction to Relativistic Quantum Chemistry

Introduction to Relativistic Quantum Chemistry

by Kenneth G. Dyall, Knut Faegri
Introduction to Relativistic Quantum Chemistry

Introduction to Relativistic Quantum Chemistry

by Kenneth G. Dyall, Knut Faegri

Hardcover

$195.00 
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Overview

This book provides an introduction to the essentials of relativistic effects in quantum chemistry, and a reference work that collects all the major developments in this field. It is designed for the graduate student and the computational chemist with a good background in nonrelativistic theory. In addition to explaining the necessary theory in detail, at a level that the non-expert and the student should readily be able to follow, the book discusses the implementation of the theory and practicalities of its use in calculations. After a brief introduction to classical relativity and electromagnetism, the Dirac equation is presented, and its symmetry, atomic solutions, and interpretation are explored. Four-component molecular methods are then developed: self-consistent field theory and the use of basis sets, double-group and time-reversal symmetry, correlation methods, molecular properties, and an overview of relativistic density functional theory. The emphases in this section are on the basics of relativistic theory and how relativistic theory differs from nonrelativistic theory. Approximate methods are treated next, starting with spin separation in the Dirac equation, and proceeding to the Foldy-Wouthuysen, Douglas-Kroll, and related transformations, Breit-Pauli and direct perturbation theory, regular approximations, matrix approximations, and pseudopotential and model potential methods. For each of these approximations, one-electron operators and many-electron methods are developed, spin-free and spin-orbit operators are presented, and the calculation of electric and magnetic properties is discussed. The treatment of spin-orbit effects with correlation rounds off the presentation of approximate methods. The book concludes with a discussion of the qualitative changes in the picture of structure and bonding that arise from the inclusion of relativity.

Product Details

ISBN-13: 9780195140866
Publisher: Oxford University Press
Publication date: 04/19/2007
Pages: 544
Product dimensions: 6.41(w) x 9.33(h) x 1.23(d)

About the Author

Schrodinger, Inc.

University of Oslo

Table of Contents

PART I: Foundations1. Introduction2. Basic Special Relativity3. Relativistic Electromagnetic InteractionsPART II: The Dirac Equation: Solutions and Properties4. The Dirac Equation5. Negative-Energy States and Quantum Electrodynamics6. Relativistic Symmetry7. One-Electron Atoms8. Properties of Relativistic Mean-Field TheoryPART III: Four-Component Methodology9. Operators, Matrix Elements and Wave Functions under Time Reversal Symmetry10. Matrices and Wave Functions under Double-Group Symmetry11. Basis Set Expansions of Relativistic Electronic Wave Functions12. Correlation Methods13. Molecular properties14. Density Functional Approaches to Relativistic Quantum MechanicsPART IV: Approximations to the Dirac equation15. Spin Separation and the Modified Dirac Equation16. Unitary Transformations of the Dirac Hamiltonian17. Perturbation Methods18. Regular Approximations19. Matrix Approximations20. Core Approximations21. Spin-orbit Configuration Interaction MethodsPART V: The Nature of the Relativistic Chemical Bond22. Relativistic Effects on Molecular Bonding and StructureAppendix A: Four-vector QuantitiesAppendix B: Vector RelationsAppendix C: Elements of Group TheoryAppendix D: Group TablesAppendix E: Change of Metric for Modified Wave FunctionsAppendix F: Two-Electron Gauge Terms for the Modified Dirac OperatorAppendix G: The Second-Order Term of the Douglas-Kroll ExpansionAppendix H: Transformed Operators for Electric and Magnetic PropertiesAppendix I: Gauge Term Contributions from the Breit Interaction to the Breit- Pauli HamiltonianAppendix J: Approximations in Relativistic Density Functional TheoryAppendix K: The Cowan-Griffin and Wood-Boring Equations.Appendix L: Supplementary ReadingBibliography
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