Potential Energy Hypersurfaces

Potential Energy Hypersurfaces PDF Author: Paul G. Mezey
Publisher: Elsevier Publishing Company
ISBN:
Category : Science
Languages : en
Pages : 564

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Book Description
The importance of the potential surface model has led naturally to a large number of studies on the subject, where the emphasis has usually been placed on lower dimensional problems, such as the reaction dynamics of diatomic to four-atom systems, or conformational problems restricted to few internal rotations. The purposes and methods of this book are, however, somewhat different from those of most studies on potential surface problems. The emphasis here is placed on those fundamental properties of potential energy hypersurfaces that are general for higher dimensions, that is, for larger molecules. The study of these properties requires some of the tools of global analysis that are not among the routine mathematical techniques of quantum chemists: topology, homotopy, and homology. This book provides the reader with an introduction to the fundamentals and to some of the more recent developments in the theory of potential energy hypersurfaces. The text is fairly self-contained. It requires no previous mathematical knowledge from the reader beyond that needed in an undergraduate quantum chemistry course.

Potential Energy Hypersurfaces

Potential Energy Hypersurfaces PDF Author: Paul G. Mezey
Publisher: Elsevier Publishing Company
ISBN:
Category : Science
Languages : en
Pages : 564

Get Book Here

Book Description
The importance of the potential surface model has led naturally to a large number of studies on the subject, where the emphasis has usually been placed on lower dimensional problems, such as the reaction dynamics of diatomic to four-atom systems, or conformational problems restricted to few internal rotations. The purposes and methods of this book are, however, somewhat different from those of most studies on potential surface problems. The emphasis here is placed on those fundamental properties of potential energy hypersurfaces that are general for higher dimensions, that is, for larger molecules. The study of these properties requires some of the tools of global analysis that are not among the routine mathematical techniques of quantum chemists: topology, homotopy, and homology. This book provides the reader with an introduction to the fundamentals and to some of the more recent developments in the theory of potential energy hypersurfaces. The text is fairly self-contained. It requires no previous mathematical knowledge from the reader beyond that needed in an undergraduate quantum chemistry course.

Interatomic Potential Energy Hypersurfaces for Molecules

Interatomic Potential Energy Hypersurfaces for Molecules PDF Author: Robert L. Vance
Publisher:
ISBN:
Category :
Languages : en
Pages : 294

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Book Description


Potential Energy Surfaces

Potential Energy Surfaces PDF Author: Alexander F. Sax
Publisher: Springer Science & Business Media
ISBN: 3642468799
Category : Science
Languages : en
Pages : 242

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Book Description
Potential Energy Surfaces is a collection of lectures given at the 1996 Mariapfarr Workshop in Theoretical Chemistry, organized by Alexander F. Sax. The Mariapfarr Workshops' aim is to discuss in-depth topics in Theoretical Chemistry. The target group of these workshops is graduate students and postdocs.

Properties of Chemically Interesting Potential Energy Surfaces

Properties of Chemically Interesting Potential Energy Surfaces PDF Author: Dietmar Heidrich
Publisher: Springer Science & Business Media
ISBN: 3642934994
Category : Science
Languages : en
Pages : 193

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Book Description
Contemporary chemical reaction theory is the characterization of Potential Energy Hypersurfaces (PES). The authors critically analyze chemically and mathematically suitable reaction path definitions. The book presents a simple mathematical analysis of stationary and critical points of the PES. It provides tools for studying chemical reactions by calculating reaction paths and related curves. A further aspect of the book is the dependence of PES properties on approximations used for the analysis. Recent quantum chemical calculations, particularly of single proton transfer processes, and experimental data are compared. The book addresses students and researchers in Theoretical Chemistry, Chemical Kinetics and related fields.

Aiding Experimental Characterization of Small Molecules Through the Mapping of Potential Energy Hypersurfaces

Aiding Experimental Characterization of Small Molecules Through the Mapping of Potential Energy Hypersurfaces PDF Author: John Morrison Galbraith
Publisher:
ISBN:
Category :
Languages : en
Pages : 300

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Book Description


The Calculation of Analytical Force Constants and Local Minima on Semiempirical Potential Energy Hypersurfaces

The Calculation of Analytical Force Constants and Local Minima on Semiempirical Potential Energy Hypersurfaces PDF Author: James David Mohr
Publisher:
ISBN:
Category :
Languages : en
Pages : 144

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Book Description


Conceptual Perspectives in Quantum Chemistry

Conceptual Perspectives in Quantum Chemistry PDF Author: Jean-Louis Calais
Publisher: Springer Science & Business Media
ISBN: 9401155720
Category : Science
Languages : en
Pages : 562

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Book Description
The rivers run into the sea, yet the sea is not full Ecclesiastes What is quantum chemistry? The straightforward answer is that it is what quan tum chemists do. But it must be admitted, that in contrast to physicists and chemists, "quantum chemists" seem to be a rather ill-defined category of scientists. Quantum chemists are more or less physicists (basically theoreticians), more or less chemists, and by large, computationists. But first and foremost, we, quantum chemists; are conscious beings. We may safely guess that quantum chemistry was one of the first areas in the natural sciences to lie on the boundaries of many disciplines. We may certainly claim that quantum chemists were the first to use computers for really large scale calculations. The scope of the problems which quantum chemistry wishes to answer and which, by its unique nature, only quantum chemistry can answer is growing daily. Retrospectively we may guess that many of those problems meet a daily need, or are say, technical in some sense. The rest are fundamental or conceptual. The daily life of most quantum chemists is usually filled with grasping the more or less technical problems. But it is at least as important to devote some time to the other kind of problems whose solution will open up new perspectives for both quantum chemistry itself and for the natural sciences in general.

Excited State in Chemical Physics, Volume 45, Part 2

Excited State in Chemical Physics, Volume 45, Part 2 PDF Author: J. W. McGowan
Publisher: John Wiley & Sons
ISBN: 047014310X
Category : Science
Languages : en
Pages : 624

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Book Description
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.

Molecular Similarity and Reactivity: From Quantum Chemical to Phenomenological Approaches

Molecular Similarity and Reactivity: From Quantum Chemical to Phenomenological Approaches PDF Author: Ramón Carbó
Publisher: Springer Science & Business Media
ISBN: 9780792333098
Category : Science
Languages : en
Pages : 342

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Book Description
Similarities in chemical reactivity depend on molecular properties, and are ultimately dependent on the similarities of electronic structures. Fundamentally, quantum chemical similarities are manifested in similarities of molecular behaviour. This book covers both the quantum chemical origins and the methods of phenomenological descriptions of molecular similarity. The emphasis on reactivity is a unique feature. The exposition of computational methods and the prediction of reactivities, as well as the description of actual computer programs constitute important aspects of the book. Specific applications in drug design and techniques for the interpretation of the roles of functional groups in reactivity are of interest in molecular engineering. The selection of topics provides a detailed and balanced introduction to the field of similarity-based assessment of chemical reactivity. For researchers and graduate students in both fundamental chemistry and applied fields, such as biochemistry, pharmacology and drug design.

Applied Quantum Chemistry

Applied Quantum Chemistry PDF Author: Vedene H. Smith Jr.
Publisher: Springer Science & Business Media
ISBN: 9400947461
Category : Science
Languages : en
Pages : 440

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Book Description
This volume constitutes the proceedings of the Nobel Laureate Symposium on Applied Quantum Chemistry held during the International Chemical Congress of Pacific Basin Societies, 16-21 December 1984, in Honolulu, Hawaii. The Symposium was held in honour of the five Nobel Laureates who have contributed so extensively to the development of Applied Quantum Chemistry. K. Fukui, G. Herzberg, R. Hoffmann, W.N. Lipscomb and R.S. Mulliken. Professors Fukui, Hoffmann and Lipscomb attended and presented plenary lectures to the Symposium. Their lectures and the other invited papers and invited poster presentations brought into focus the current state of Applied Quantum Chemistry and showed the importance of the interaction between quantum theory and experiment. We are indebted to the Subdivision of Theoretical Chemistry and the Division of Physical Chemistry of the American Chemical Society, the Division of Physical Chemistry of the Chemical Institute of Canada, Energy Conversion Devices, Inc., the IBM Corporation, and the Congress for their financial support which helped to make the Symposium possible. We would like to thank Dr. Philip Payne for making some of the local arrangements, and Mrs. Betty McIntosh for her assistance in arranging the Symposium and in the preparation of these proceedings for publication.