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Books > Science & Mathematics > Chemistry > Physical chemistry > Quantum & theoretical chemistry
This book explains the observed trends in the bonding and structure of molecules and solids within the models of the electronic structure. Emphasis is placed throughout on recent theoretical developments that link structural stability to the local topology or connectivity of the lattice through the moments of the electronic density of states. The chemically-intuitive Tight Binding approximation provides a unified treatment of the covalent bond in small molecules and extended solids, while the physically-intuitive Nearly-Free Electron approximation provides a natural description of the metallic bonds in sp-valent metals. Unlike the conventional reciprocal-space formulation of band theory, this modern real-space approach allows an immediate understanding of the origin of structural trends within the periodic table for the elements and the AB structure map for binary compounds. Although this unique book is aimed primarily at postgraduates in physics, chemistry, and materials science, a chapter on basic quantum mechanical concepts is included for those readers with little or no basic knowledge of the subject.
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 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.
The book covers theoretical background and methodology as well as all current applications of Quantitative Structure-Activity Relationships (QSAR). Written by an international group of recognized researchers, this edited volume discusses applications of QSAR in multiple disciplines such as chemistry, pharmacy, environmental and agricultural sciences addressing data gaps and modern regulatory requirements. Additionally, the applications of QSAR in food science and nanoscience have been included - two areas which have only recently been able to exploit this versatile tool. This timely addition to the series is aimed at graduate students, academics and industrial scientists interested in the latest advances and applications of QSAR.
The new edition of this established workbook consists of worked examples and set problems that cover one- and two-dimensional NMR techniques applied to organic and inorganic systems. Most of the problems are genuine research examples, and this new edition contains eight pages of problems drawn from very recent research work. This second edition is fully compatible with the second edition of the highly successful Modern NMR Spectroscopy: a guide for chemists, and the two books are thoroughly cross referenced throughout.
Attosecond science is a new and rapidly developing research area in which molecular dynamics are studied at the timescale of a few attoseconds. Within the past decade, attosecond pump-probe spectroscopy has emerged as a powerful experimental technique that permits electron dynamics to be followed on their natural timescales. With the development of this technology, physical chemists have been able to observe and control molecular dynamics on attosecond timescales. From these observations it has been suggested that attosecond to few-femtosecond timescale charge migration may induce what has been called "post-Born-Oppenheimer dynamics", where the nuclei respond to rapidly time-dependent force fields resulting from transient localization of the electrons. These real-time observations have spurred exciting new advances in the theoretical work to both explain and predict these novel dynamics. This book presents an overview of current theoretical work relevant to attosecond science written by theoreticians who are presently at the forefront of its development. It is a valuable reference work for anyone working in the field of attosecond science as well as those studying the subject.
Available in paperback for the first time, this book describes the main methods of one- and two-dimensional high-resolution NMR spectroscopy in liquids within the quantum-mechanical formalism of the density matrix. In view of the increasing importance of NMR in chemistry and biochemistry, it is particularly addressed to those scientists who do not have a working knowledge of quantum calculations. From reviews of the hardback edition: `The book fills a gap in the market...' Magnetic Resonance in Chemistry 'Goldman's book is important and timely, written in a thorough, careful manner. It treats a selected number of fundamental two-dimensional NMR experiments at a level appropriate for a general graduate course in two-dimensional NMR spectroscopy. Physics Today
This textbook offers an accessible approach to the subject of mathematics which divides the topic into smaller units, guiding students through questions, exercises and problems designed to slowly increase student confidence and experience. The sequence of studies is individualised according to performance and can be regarded as full tutorial course. The study guide satisfies two objectives simultaneously: firstly it enables students to make effective use of the textbook and secondly it offers advice on the improvement of study skills. Empirical studies have shown that the student's competence for using written information has improved significantly by using this study guide. The new edition includes a new chapter on Fourier integrals and Fourier transforms, numerous sections had been updated, 30 new problems with solutions had been added. The interactive study guide has seen a substantial update.
Over the past few decades, experimental excited state chemistry has moved into the femtochemistry era, where time resolution is short enough to resolve nuclear dynamics. Recently, the time resolution has moved into the attosecond domain, where electronic motion can be resolved as well. Theoretical chemistry is becoming an essential partner in such experimental investigations; not only for the interpretation of the results, but also to suggest new experiments. This book provides an integrated approach. The three main facets of excited-state theoretical chemistry; namely, mechanism, which focuses on the shape of the potential surface along the reaction path, multi-state electronic structure methods, and non-adiabatic dynamics, have been brought together into one volume. Theoretical Chemistry for Electronic Excited States is aimed at both theorists and experimentalists, involved in theoretical chemistry, in electronic structure computations and in molecular dynamics. The book will provide both with the knowledge and understanding to discover ways to work together more closely through its unified approach.
This thesis addresses two important and also challenging issues in the research of chemical reaction dynamics of F+H2 system. One is to probe the reaction resonance and the other is to determine the extent of the breakdown of the Born-Oppenheimer approximation (BOA) experimentally. The author introduces a state-of-the-art crossed molecular beam-scattering apparatus using a hydrogen atom Rydberg "tagging" time-of-flight method, and presents thorough state-to-state experimental studies to address the above issues. The author also describes the observation of the Feshbach resonance in the F+H2 reaction, a precise measurement of the differential cross section in the F+HD reaction, and validation of a new accurate potential energy surface with spectroscopic accuracy. Moreover, the author determines the reactivity ratio between the ground state F(2P3/2) and the excited state F*(2P1/2) in the F+D2 reaction, and exploits the breakdown of BOA in the low collision energy.
The new edition of this best-selling textbook addresses the difficulties that can arise with the mathematics that underpins the study of symmetry, and acknowledges that group theory can be a complex concept for students to grasp. Molecular Symmetry and Group Theory is based around a series of programmes that help students learn at their own pace and enable them to understand the subject fully. Readers are taken through a series of carefully constructed exercises, designed to simplify the mathematics and give them a full understanding of how this relates to the chemistry. The second edition has been revised and expanded and includes a new chapter on the projection operator method. This is used to calculate the form of the normal modes of vibration of a molecule and the normalised wave functions of hybrid orbitals or molecular orbitals.
This textbook presents basic and advanced computational physics in a very didactic style. It contains very-well-presented and simple mathematical descriptions of many of the most important algorithms used in computational physics. The first part of the book discusses the basic numerical methods. The second part concentrates on simulation of classical and quantum systems. Several classes of integration methods are discussed including not only the standard Euler and Runge Kutta method but also multi-step methods and the class of Verlet methods, which is introduced by studying the motion in Liouville space. A general chapter on the numerical treatment of differential equations provides methods of finite differences, finite volumes, finite elements and boundary elements together with spectral methods and weighted residual based methods. The book gives simple but non trivial examples from a broad range of physical topics trying to give the reader insight into not only the numerical treatment but also simulated problems. Different methods are compared with regard to their stability and efficiency. The exercises in the book are realised as computer experiments.
"Quantum Chemistry" is the course material of a European Summer School in Quantum Chemistry, organized by Bj-rn O. Roos. It consists of lectures by outstanding scientists who participate in the education of students and young scientists. The book has a wider appeal as additional reading for University courses. Contents: P.-A. Malmquist: Mathematical Tools in Quantum Chemistry J. Olsen: The Method of Second Quantization P.R. Taylor: Molecular Symmetry and Quantum Chemistry B.O. Roos: The Multiconfigurational (MC) Self-Consistent Field (SCF) Theory P.E.M. Siegbahn: The Configuration Interaction Method T. Helgaker: Optimization of Minima and Saddle Points P.R. Taylor: Accurate Calculations and Calibration U. Wahlgren: Effective Core Potential Method
"Chemists familiar with conventional quantum mechanics will applaud
and benefit greatly from this particularly instructive, thorough
and clearly written exposition of density functional theory: its
basis, concepts, terms, implementation, and performance in diverse
applications. Users of DFT for structure, energy, and molecular
property computations, as well as reaction mechanism studies, are
guided to the optimum choices of the most effective methods. Well
done!"
Suitable for graduate students, master courses and postdocs, this
is the first textbook to discuss the whole range of contemporary
coordination chemistry. It has been thoroughly reviewed by leading
textbook authors, and the concept already proven by the successful
Spanish edition.
This book deals with a central topic at the interface of chemistry and physics - the understanding of how the transformation of matter takes place at the atomic level. Building on the laws of physics, the book focuses on the theoretical framework for predicting the outcome of chemical reactions. The style is highly systematic with attention to basic concepts and clarity of presentation. Molecular reaction dynamics is about the detailed atomic-level description of chemical reactions. Based on quantum mechanics and statistical mechanics or, as an approximation, classical mechanics, the dynamics of uni- and bi-molecular elementary reactions are described. The book features a detailed presentation of transition-state theory which plays an important role in practice, and a comprehensive discussion of basic theories of reaction dynamics in condensed phases. Examples and end-of-chapter problems are included in order to illustrate the theory and its connection to chemical problems.
This invaluable book provides a balanced and integrated introduction to the quantum world of atoms and molecules. The underlying basis of quantum mechanics is carefully developed, with respect for the historical tradition and from a molecular angle. The fundamental concepts in the theory of atomic and molecular structure are thoroughly discussed, as are the central techniques needed in quantum-chemical applications. Special attention is paid to exposing and clarifying the common ground of Hartree-Fock theory and density-functional theory. Throughout the text, the discussion is pedagogically obliging and aims at simplicity and mathematical clarity, while avoiding the use of advanced mathematics. End-of-chapter problems supplement the main text.
The purpose of this book is to convey to the worldwide scientific community the rapid and enthusiastic progress of state-of-the-art quantum chemistry. Quantum chemistry continues to grow with remarkable success particularly due to rapid progress in supercomputers. The usefulness of quantum chemistry is almost limitless. Its application covers not only physical chemistry but also organic and inorganic chemistry, physics, and life sciences. This book deals with all of these topics. Frontiers of Quantum Chemistry is closely related to the symposium of the same name held at Kwansei Gakuin University at Nishinomiya, Japan, in November 2015. The book's contributors, however, include not only invited speakers at the symposium but also many other distinguished scientists from wide areas of quantum chemistry around the world.
This book is a personal account of some aspects of the emergence of modern science, mostly from the viewpoint of those branches of physics which provided the much needed paradigm shift of "more is different" that heralded the advent of complexity science as an antidote to the purely reductionist approach in fundamental physics. It is also about the humans that have helped to shape these developments, including personal reminiscences and the realization that the so-called exact sciences are inevitably also a social endeavour with all its facets. Served by the razor-sharp wit of the author, this erudite ramble is meant to be neither comprehensive nor systematic, but its generous insights will give the inquisitive academically trained mind a better understanding of what science, and physics in particular, could or should be about.
This book provides deep insight into the physical quantity known as chemical activity. The author probes deep into classical thermodynamics in Part I, and then into statistical thermodynamics in Part II, to provide the necessary background. The treatment has been streamlined by placing some background material in appendices. Chemical Activity is of interest not only to those in chemical thermodynamics, but also to chemical engineers working with mass transfer and its applications - for example, separation methods.
Time-dependent density-functional theory (TDDFT) describes the quantum dynamics of interacting electronic many-body systems formally exactly and in a practical and efficient manner. TDDFT has become the leading method for calculating excitation energies and optical properties of large molecules, with accuracies that rival traditional wave-function based methods, but at a fraction of the computational cost. This book is the first graduate-level text on the concepts and applications of TDDFT, including many examples and exercises, and extensive coverage of the literature. The book begins with a self-contained review of ground-state DFT, followed by a detailed and pedagogical treatment of the formal framework of TDDFT. It is explained how excitation energies can be calculated from linear-response TDDFT. Among the more advanced topics are time-dependent current-density-functional theory, orbital functionals, and many-body theory. Many applications are discussed, including molecular excitations, ultrafast and strong-field phenomena, excitons in solids, van der Waals interactions, nanoscale transport, and molecular dynamics.
Die Berechnung der Konstanten der potentiellen Energie der MolekiUe ist eines der Hauptprobleme in der Auswertung der Molekiilspektren ((0:32), S. 28, (0:21), S. 59). Diese Konstanten der potentiellen Energie bzw. Kraftkonstanten der Molekille ermoglichen die Gewinnung von Aussagen iiber jede einzelne Bindung im Molekill, wie dies neben der quantentheoretischen Methode nur noch wenige Methoden fUr vielatomige Molekiile gestatten (7:6). Damit stellt die Kraftkonstantenrechnung ein Hilfsmittel zur Kliirung bindungstheoretischer Strukturfragen chemischer Verbindungen dar. Die experimentellen Grof3en oder Observablen stellen die Schwingungs- frequenzen der Molekiile dar, wie sie mit Ultrarot-und Raman-Spektren-Ge- raten gewonnen werden, die in der sog. Spektralmatrix zusammengefa t wer- den. Weiterhin gehen in die Rechnung noch die Valenzwinkel, die Gleichge- wichtsabstande und die Massen ein, die in der Matrix der kinetischen Energie zusammengefa t werden. Die Berechnung der Matrix der Konstanten der potentiellen Energie erfolgt klassisch nach der Theorie der kleinen Schwingungen, wobei das Molektil als ein mechanisches Punktsystem angesehen wird, dessen klassische Schwingungsfre- quenzen mit den quantentheoretischen Strahlungsfrequenzen flir den Dbergang zwischen Grundzustand und dem ersten angeregten Schwingungszustand des Molekills gleichgesetzt werden kann ((0:27), S. 168). Auch fUr die quantentheoretische Theorie der moglichen EnergiezusUinde von Molekiilen stellen die klassischen Schwingungsfrequenzen die entscheidenden Parameter dar ((0:27), S. 168, (0: 1 06), S. 49).
The chemist's approach to the understanding of matter and its chemical transformations is to take a microscopic view, connecting experimental observation with the properties of the consitutent molecules. Atoms and subatomic particles do not obey the classical laws of mechanics but conform rather to the laws of quantum mechanics. Quantum mechanics is thus of central importance in chemistry. In order to understand the behaviour of molecules and their constituent particles it is necessary to have a thorough grounding in the principles and applications of quantum mechanics.
The second edition of an established graduate text, this book complements the material for a typical advanced graduate course in quantum mechanics by showing how the underlying classical structure is reflected in quantum mechanical interference and tunnelling phenomena, and in the energy and angular momentum distributions of quantum mechanical states in the moderate to large (10-100) quantum number regime. Applications include accurate quantization techniques for a variety of tunnelling and curve-crossing problems and of non-separable bound systems; direct inversion of molecular scattering and spectroscopic data; wavepacket propagation techniques; and the prediction and interpretation of elastic, inelastic and chemically reactive scattering. The main text concentrates less on the mathematical foundations than on the global influence of the classical phase space structures on the quantum mechanical observables. Further mathematical detail is contained in the appendices and worked problem sets are included as an aid to the student.
This volume introduces readers to some of the latest research applications of physical chemistry. The compilation of this volume was motived by the tremendous increase of useful research work in the field of physical chemistry and related subjects in recent years, and the need for communication between physical chemists, physicists, and biophysicists. This volume reflects the huge breadth and diversity in research and the applications in physical chemistry and physical chemistry techniques, providing case studies that are tailored to particular research interests. It examines the industrial processes for emerging materials, determines practical use under a wide range of conditions, and establishes what is needed to produce a new generation of materials. |
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