A New Dimension To Quantum Chemistry

In modern theoretical chemistry, the importance of the analytic evaluation of energy derivatives from reliable wave functions can hardly be overestimated. This monograph presents the formulation and implementation of analytical energy derivative methods in ab initio quantum chemistry. It includes a systematic presentation of the necessary algebraic formulae for all of the derivations. The coverage is limited to derivative methods for wave functions based on the variational principle, namely restricted Hartree-Fock (RHF), configuration interaction (CI) and multi-configuration self-consistent-field (MCSCF) wave functions. The monograph is intended to facilitate the work of quantum chemists, and will serve as a useful resource for graduate-level students of the field.

Over the course of the last thirty years, the investigation of objects at the nano scale has rocketed. Nanoscale scientific research has not only powerfully affected the amount and orientation of knowledge, it has perhaps even more significantly redirected the ways in which much research work is carried out, changed scientists' methodology and reasoning processes, and influenced aspects of the structure of career trajectory and the functioning of scientific disciplines. This book identifies key historical moments and episodes in the birth and evolution of nanoscience, discusses the novel repertory of epistemological concerns of practitioners, and signals sociological propensities. As Galileo's telescope explored the moon's surface four hundred years ago, nano instrumentation now makes it possible to see the surface of single molecules. Moreover, practitioners are able to manipulate individual atoms and molecules at will to produce pre-designed synthetic materials, non-existent in nature. The combinatorial of heightened observational capacity and the tailoring of synthetic artificial materials exhibiting hitherto novel physical properties has widened and transformed the worlds of scientific knowledge and technical artefact. This book invites the question: to what extent does nanoscale scientific research constitute a kind of 'scientific revolution'?

Written by two researchers in the field, this book is a reference to explain the principles and fundamentals in a self-contained, complete and consistent way. Much attention is paid to the didactical value, with the chapters interconnected and based on each other. From the contents: * Fundamentals * Relativistic Theory of a Free Electron: Diracï¿1⁄2s Equation * Dirac Theory of a Single Electron in a Central Potential * Many-Electron Theory I: Quantum Electrodynamics * Many-Electron Theory II: Dirac-Hartree-Fock Theory * Elimination of the Small Component * Unitary Transformation Schemes * Relativistic Density Functional Theory * Physical Observables and Molecular Properties * Interpretive Approach to Relativistic Quantum Chemistry From beginning to end, the authors deduce all the concepts and rules, such that readers are able to understand the fundamentals and principles behind the theory. Essential reading for theoretical chemists and physicists.

Contents: Introduction, Some Mathematical Concepts, The Classical Theory of Vibrations, Two and Three Dimensions Waves, The Quantum Hypothesis, The Bohr Model and Matter Waves, Particle Waves and Quantum Mechanics, Wave Mechanics of Sum Simple Systems, The Hydrogen Atom, The Helium Atom, Many Electron Atoms.

Advances in Quantum Chemistry publishes articles and invited reviews by leading international researchers in quantum chemistry. Quantum chemistry deals particularly with the electronic structure of atoms, molecules, and crystalline matter and describes it in terms of electron wave patterns. It uses physical and chemical insight, sophisticated mathematics and high-speed computers to solve the wave equations and achieve its results. Advances highlights these important, interdisciplinary developments.

`Quantum Chemistry [the branch of Computational Chemistry that applies the laws of Quantum Mechanics to chemical systems] is one of the most dynamic fields of contemporary chemistry, providing a solid foundation for all of chemistry, and serving as the basis for practical, computational methodologies with applications in virtually all branches of chemistry ... The increased sophistication, accuracy and scope of the theory of chemistry are due to a large extent to the spectacular development of quantum chemistry, and in this book the authors have made a remarkable effort to provide a modern account of the field.' From the Foreword by Paul Mezey, University of Saskatchewan. Quantum Chemistry: Fundamentals to Applications develops quantum chemistry all the way from the fundamentals, found in Part I, through the applications that make up Part II. The applications include: molecular structure; spectroscopy; thermodynamics; chemical reactions; solvent effects; and excited state chemistry. The importance of this field is underscored by the fact that the 1998 Nobel Prize in Chemistry was awarded for the development of Quantum Chemistry.

Advances in Quantum Chemistry publishes articles and invited reviews by leading international researchers in quantum chemistry. Quantum chemistry deals particularly with the electronic structure of atoms, molecules, and crystalline matter and describes it in terms of electron wave patterns. It uses physical and chemical insight, sophisticated mathematics and high-speed computers to solve the wave equations and achieve its results. Advances highlights these important, interdisciplinary developments.