Quantum mechanical calculations in physics, chemistry and biology are widely recognized as useful interpretative and predictive tools. Unfortunately, they are plagued by unfavorable convergence limitations due to the use of finite linear combinations of basis functions. With the current computer technologies, there is a possible way out to the situation by solving numerically the corresponding wave equations. The present interest and need for numerical determination of electronic structure of atoms, diatomic and poly atomic molecules led us to organize a NATO-ARW devoted to these questions. The aim of the meeting was to provide a review of the state of the art about techniques and applications. The organizing committee consisted of Drs. G. Berthier, P. Claverie, M. Defranceschi, J. Delhalle, H.J. Monkhorst and P. Pyykk6. It was a great sorrow for us to be informed in January 88 of the death of Professor P. Claverie who supported so enthusiastically the idea of having such a meeting organized. The NATO Advanced Research Worshop on : " Numerical Determination of the Electronic Structure of Atoms, Diatomic and Poly atomic Molecules" was held at Versailles (France) from April 17th till April 22th, 1988.

Development in science depends on several factors. Among these, the role of individual scientists is perhaps not the most important one. Science is typically a body of collective knowledge and any increase in the amount of this knowledge is certainly due to strong interaction among scientists. Even in the past, it happened quite rarely that a single person, without any aid of others, d- covered something fundamental or opened a new chapter in science. Great figures of science history have, in most cases, had rather a summarizing and s- thesizing role. This is especially valid over the last few decades. On one hand, the amount of information necessary to achieve new discoveries, has increased tremendously. On the other hand, improvement of technical facilities has increased the speed of information exchange. These factors resulted in a degree of specialization in science that had never seen before. Most of us are experts and specialists rather than scientists in the classical sense. My personal feeling is that, even nowadays, there is a strong need for professionals with a broad knowledge and c- prehensive mind, although they may not be competitive in the number of their publications or the sizes of their grants. Every time I have met such a person (I can count these cases on my fingers) I have become deeply influenced by his or her strong intellect.

Advances in Quantum Methods and Applications in Chemistry, Physics, and Biology includes peer-reviewed contributions based on carefully selected presentations given at the 17th International Workshop on Quantum Systems in Chemistry, Physics, and Biology. New trends and state-of-the-art developments in the quantum theory of atomic and molecular systems, and condensed matter (including biological systems and nanostructures) are described by academics of international distinction.

"Kinetics and Dynamics" on molecular modeling of dynamic processes opens with an introductory overview before discussing approaches to reactivity of small systems in the gas phase. Then it examines studies of systems of increasing complexity up to the dynamics of DNA. This title has interdisciplinary character presenting wherever possible an interplay between the theory and the experiment. It provides basic information as well as the details of theory and examples of its application to experimentalists and theoreticians interested in modeling of dynamic processes in chemical and biochemical systems. All contributing authors are renowned experts in their fields and topics covered in this volume represent the forefront of today s science."

Chemical structure and bonding. The scope of the series spans the entire Periodic Table and addresses structure and bonding issues associated with all of the elements. It also focuses attention on new and developing areas of modern structural and theoretical chemistry such as nanostructures, molecular electronics, designed molecular solids, surfaces, metal clusters and supramolecular structures. Physical and spectroscopic techniques used to determine, examine and model structures fall within the purview of Structure and Bonding to the extent that the focus is on the scientific results obtained and not on specialist information concerning the techniques themselves. Issues associated with the development of bonding models and generalizations that illuminate the reactivity pathways and rates of chemical processes are also relevant. The individual volumes in the series are thematic. The goal of each volume is to give the reader, whether at a university or in industry, a comprehensive overview of an area where new insights are emerging that are of interest to a larger scientific audience.

The fourth edition of "Quantum Chemistry" is an updated textbook on the subject covering the model syllabi of various undergraduate and postgraduate courses. The book contains the basics of quantum mechanics and quantum mechanical laws; applications of translational, vibrational and rotational motions of sub-atomic particles; theories of harmonic oscillator and atomic structure etc. The Hartree Fock self-consistent field methods, configuration, interaction, extended Huckel theory etc. are all presented with utmost clarity and examples. The present edition contains a chapter on matrix-vector methods of quantum mechanics as well as one on density functional theory along with molecular symmetry and group theory with applications to molecular orbital treatment. Steps involved in mathematical derivations are presented in full, leaving no ambiguity. Illustrative examples and practice problems, with hints are provided in each chapter.

This book provides a vivid account of the early history of molecular simulation, a new frontier for our understanding of matter that was opened when the demands of theoretical physicists were met by the availability of the modern computers. Since their inception, electronic computers have enormously increased their performance, thus making possible the unprecedented technological revolution that characterizes our present times. This obvious technological advancement has brought with it a silent scientific revolution in the practice of theoretical physics. In particular, in the physics of matter it has opened up a direct route from the microscopic physical laws to observable phenomena. One can now study the time evolution of systems composed of millions of molecules, and simulate the behaviour of macroscopic materials and actually predict their properties. Molecular simulation has provided a new theoretical and conceptual tool that physicists could only dream of when the foundations of statistical mechanics were laid. Molecular simulation has undergone impressive development, both in the size of the scientific community involved and in the range and scope of its applications. It has become the ubiquitous workhorse for investigating the nature of complex condensed matter systems in physics, chemistry, materials and the life sciences. Yet these developments remain largely unknown outside the inner circles of practitioners, and they have so far never been described for a wider public. The main objective of this book is therefore to offer a reasonably comprehensive reconstruction of the early history of molecular simulation addressed to an audience of both scientists and interested non-scientists, describing the scientific and personal trajectories of the main protagonists and discussing the deep conceptual innovations that their work produced.

Principles of Molecular Mechanics Katsunosuke Machida Computational methods in chemistry have become increasingly important over recent years, and today many chemical laboratories in industry and academia are routinely applying the principles of molecular mechanics. This unique book, written from a theoretical chemist's point of view, brings together the mathematical and theoretical basis of calculations used in many molecular mechanics software tools, and will be indispensable for anyone using computational techniques. Principles of Molecular Mechanics contains a discussion of the fundamental analytical expressions used in calculating molecular properties from molecular force fields derived from a wide variety of mathematical and physical methods. Practical algorithms are outlined with an emphasis on speeding up calculation and saving computer memory, essential to researchers designing or improving computer programs for molecular mechanics. This book is essential reading for all researchers and graduate students working in molecular simulations, computational chemistry, theoretical chemistry and physical chemistry.

th The 13 Jerusalem Symposium on Quantum Chemistry and Bio- chemistry was dedicated to the memory of Ernst David Bergmann, one of the founders of this series of Symposia, at the occasion of the 5th anniversary of his death. The opening session was honored by the pre- sence of H. E. Yzhak Navon, President of the State of Israel and of Baron Edmond de Rothschild whose generous and constant support makes these Symposia possible. To both these distinguished guests we address the expression of our deep gratitude. Our thanks are also due to the Israel Academy of Sciences and Humanities, in particular to its President Professor Aryeh Dvoretzky and to the Hebrew University of Jerusalem for their hospita- lity and helpful association. I had the privilege this time to join efforts in the organi- zation of this Symposium with two distinguished American colleagues, Prof. P. O. P. Ts'o from Johns Hopkins University and Dr. Harry Gelboin from the National Institute for Cancer Research. I wish to thank them for their invaluable help and the two Institutions which they repre- sent for important financial support. th The subject of the 13 Jerusalem Symposium brings us back to that of the 1st Symposium held in 1967. The comparison of the two Proceedings enables us to evaluate the important developments which occurred in this field of research during the last 13 years.

This book focuses on the electronic properties of transition metals in coordination environments. These properties are responsible for the unique and intricate activity of transition metal sites in bio- and inorganic catalysis, but also pose challenges for both theoretical and experimental studies. Written by an international group of recognized experts, the book reviews recent advances in computational modeling and discusses their interplay using experiments. It covers a broad range of topics, including advanced computational methods for transition metal systems; spectroscopic, electrochemical and catalytic properties of transition metals in coordination environments; metalloenzymes and biomimetic compounds; and spin-related phenomena. As such, the book offers an invaluable resource for all researchers and postgraduate students interested in both fundamental and application-oriented research in the field of transition metal systems.

Polyoxometalates (POMs) form a large, distinctive class of molecular inorganic compounds of unrivaled electronic versatility and structural variation, with impacts ranging from chemistry, catalysis, and materials science to biology, and medicine. This book covers the basic principles governing the structure, bonding and reactivity of these metal-oxygen cluster anions and the major developments in their molecular science.

The book comprises three sections. The first covers areas ranging from topological principles via synthesis and stability to reactivity in solution. It also focuses on the physical methods currently used to extract information on the molecular and electronic structures as well as the physical properties of these clusters. The second part reviews different types of POMs, focusing on those systems that currently impact other areas of interest, such as supramolecular chemistry, nanochemistry and molecular magnetism. The third section is devoted to POM-based materials and their applications and prospects in catalysis and materials science.

The third and last volume of this treatise IS concerned with important applications of the quantum~theory of chemical reactions to chemisorption, catalysis and biochemical reactions. The book begins with an important paper devoted to the theoretical background of heterogeneous catalysis. It is followed by two papers showing typical applications of wave mechanics to the analysis of chemisorption. Catalysed gas-solid reactions are chosen to illustrate gas, organic solid state reaction and some aspects of the mechanism of the FISCHER-TROPSCH synthesis are presented. The second part of the book is devoted to biochemical applications of quantum chemistry. Two papers are concerned with the quantum theory of enzyme activity. Two others present recent progress of quantum pharmacology. Finally an important contribution to the theory of intermolecular forces is made in the view of possible applications to biochemical problems. vii R. Daudel, A. Pullman, L. Salem, and A. Viellard reds.), Quantum Theory o/Chemical Reactions, Volume III, vii. Copyright (c) 1982 by D. Reidel Publishing Company. THEORETICAL BACKGROUND OF HETEROGENEOUS CATALYSIS J.E.Germain Laboratoire de Catalyse Appliquee et Cinetique Heterogene L. A. 231 du Centre National de la Recherche Scientifique Universite Claude Bernard Lyon I, E.S.C.I.L. 43 Boulevard du 11 Novembre 1918, 69622 Villeurbanne Cedex. Heterogeneous Catalysis is a surface Kinetic phenomenon by which a chemical reaction between molecules of a fluid phase is accelerated (activity) and oriented (selectivity) by contact with a solid phase (catalysts, without change of the solid.

The interactions of DNA with force are central to manifold fields of inquiry, including the de novo design of DNA nanostructures, the use of DNA to probe the principles of biological self-assembly, and the operation of cellular nanomachines. This work presents a survey of three distinct ways coarse-grained simulations can help characterize these interactions. A non-equilibrium energy landscape reconstruction technique is validated for use with the oxDNA model and a practical framework to guide future applications is established. A novel method for calculating entropic forces in DNA molecules is outlined and contrasted with existing, flawed approaches. Finally, a joint experimental-simulation study of large DNA origami nanostructures under force sheds light on design principles and, through vivid illustrations, their unfolding process. This text provides an accessible and exciting launching point for any student interested in the computational study of DNA mechanics and force interactions.

The technique of smal1-angle soattering (SAS) is now about sixty years o1d. Soon after the first observations of, a continuous, intense X-ray scattering near the primary beam from samp1es such as canbo:tt,bla:cks, it was recognized that this scattering arose from e1ectron density heterogeneities on a scale of severa! tens to severa! hundred times the wave1ength of the radiation used. By the time the classic monograph of Guinier and Foumet appeared in 1955, much of the basic theory and instrumentation had been developed, and applications to colloidal suspensions, macromolecular solutions inc1uding proteins and viruses, fibers, porous and finely divided solids, metallic alloys etc. numbered in the hundreds. Following severa! specialized meetings, the first international conference on small-ang1e X-ray scattering was helditi, Syracuse in 1965, marked by the presentation of new scattering theory for polydisperse systems, polymer coils and filaments, new instrumentation (the Bonse-Hart camera), and new applications to polymeric, biologica!, and metallic systems, to critica! phenomena and to catalysts. The second conference (Graz, 1970) no longer dealt exclusively with X- ray scattering, but also inc1uded neutron small-angle scattering (SANS). SANS applications developed rapidly during this period, especially for studying synthetic and biologica! macromolecules, when the possibilities of exploiting scattering Iength density differences, created by selective deuteration, were recognized.

In this dissertation, Marie-Helene Larraufie develops original radical and pallado-catalyzed methodologies to enable the synthesis of several classes of bioactive nitrogen-containing heterocycles. New radical cascades employing the N-acylcyanamide moiety offer straightforward routes to quinazolinones and guanidines, as well as new insights into the mechanism of homolytic aromatic substitutions. In parallel, Larraufie expands the scope of visible light photoredox catalysis to the ring opening of epoxides and aziridines, thus providing new sustainable alternatives for the generation of radicals. Furthermore, in a collaborative effort with the Catellani group, the author investigates dual palladium/norbornene catalysis. First, she develops a C-amination coupling variant of the Catellani reaction with unprotected amines which provides an expeditious route to phenanthridines. Then, she examines the influence of the chelating effect on Pd(IV) intermediates reactivity with the help of experimental studies and DFT calculations. The work in this thesis has resulted in numerous publications in high impact journals.The clarity and depth of the experimental section will be useful for students and researchers working in this field.

This volume is a description of the current knowledge on the different metal-oxo and metal-peroxo species involved in catalytic oxidations. The series contains critical reviews of the present position and future trends, and short and concise reports written by the world's renowned experts.

The field of atomic clusters continues to attract great interest amongst physicists and chemists alike. This is in part due to their intrinsic properties and potential industrial applications. The first part of Binary Clusters is devoted to recent developments in experimental techniques, the second part covers a variety of theoretical approaches. Different theoretical methods based on group/graph theories and quantum chemical computational methods as well as various spectroscopy techniques (such as mass, laser, infrared, photoelectron etc.) are applied to the determination of the existence of geometrical and electronic structures, chemical bonding phenomena, and the thermodynamic stabilities of several classes of binary clusters. All chapters within this review volume have been contributed by experts in chemistry, physics, and material sciences based at the University of Leuven, Belgium. This book is aimed at professionals and students working in cluster science.

This book presents a number of studies on the molecular dynamics of cement-based materials. It introduces a practical molecular model of cement-hydrate, delineates the relationship between molecular structure and nanoscale properties, reveals the transport mechanism of cement-hydrate, and provides useful methods for material design. Based on the molecular model presented here, the book subsequently sheds light on nanotechnology applications in the design of construction and building materials. As such, it offers a valuable asset for researchers, scientists, and engineers in the field of construction and building materials.

In this thesis, the author introduces two strategies used to construct various types of N-heterocycles, based on the chemistry of zirconacycles and 2,6-diazasemibullvalenes. In the first part, the author presents the development of multi-component cyclization of a zirconacyclobutene-silacyclobutene fused compound, nitriles and unsaturated compounds. These reactions provide synthetically useful methodology for various N-heterocycles such as 3-acyl pyrrole, pyrrolo[3,2-d]pyridazine and dihydropyrroloazepine, which are all difficult to synthesize by other means. The isolation and characterization of the key three-fused-ring Zr/Si-containing intermediates are also described in detail. These results show that the zirconacyclobutene-silacyclobutene fused compound behaves as a "chemical transformer" upon treatment with various substrates via the "coordination-induced skeleton rearrangement" mechanism. In the second part, the author demonstrates the synthesis and isolation of a series of 2,6-diazasemibullvalenes (NSBVs) from the reaction of 1,4-dilithio-1,3-dienes and nitriles, highlighting the significant progress made for the first time in this work: (1) determination of X-ray crystal structure of a substituted 2,6-diazasemibullvalene; (2) measurement of the activation barrier of its rapid intramolecular aza-Cope rearrangement in solution; (3) exploration of several reaction types of NSBV with diverse ring-expansion products and "bowl-shape" or "cage-shape" N-containing polycyclic skeletons; (4) demonstration of the localized structure as the predominant form and the homoaromatic delocalized structure as a minor component in the equilibrium using theoretical analysis. Based on well-founded results, this work sheds new light on this controversial topic.

Manuela Mura's thesis is devoted to ab initio studies of self-assembled organic molecules on a gold surface. This area of research is particularly vibrant because of the various applications such studies have in nanoscience and surface chemistry and physics. In this thesis Manuela Mura uses theory to suggest atomistic models for the observed assembled and she proposes an assembly mechanism. The methods and results developed as part of this work will be of wide interest to physicists and chemists working on the assemblies of organic molecules on crystal surfaces.

Quantum mechanics and the Schrodinger equation are the basis for the de scription of the properties of atoms, molecules, and nuclei. The development of reliable, meaningful solutions for the energy eigenfunctions of these many is a formidable problem. The usual approach for obtaining particle systems the eigenfunctions is based on their variational extremum property of the expectation values of the energy. However the complexity of these variational solutions does not allow a transparent, compact description of the physical structure. There are some properties of the wave functions in some specific, spatial domains, which depend on the general structure of the Schrodinger equation and the electromagnetic potential. These properties provide very useful guidelines in developing simple and accurate solutions for the wave functions of these systems, and provide significant insight into their physical structure. This point, though of considerable importance, has not received adequate attention. Here we present a description of the local properties of the wave functions of a collection of particles, in particular the asymptotic properties when one of the particles is far away from the others. The asymptotic behaviour of this wave function depends primarily on the separation energy of the outmost particle. The universal significance of the asymptotic behaviour of the wave functions should be appreciated at both research and pedagogic levels. This is the main aim of our presentation here."

People who attended the NATO Advanced Study Institute (ASI) entitled NEW THEORETICAL CONCEPTS FOR UNDERSTANDING ORGANIC REAC TIONS held at Sant Feliu de Gufxols on the Costa Brava of Spain had a unique experience. They have seen the evolution of the field from qualitative arguments through the generation of Potential Energy Surfaces (PES) to the use of PES in molecular dynamics. The excellent lectures that were dedicated to the various aspects of Potential Energy Surfaces clearly revealed a colossal amount of ma terial that represents our current understanding of the overall problem. It is our hope that the present volume will recreate the excitement in the readers that we all experienced during the meeting in Spain. One can say, without too much exaggeration, that chemistry has become and exercise on potential energy surfaces (PES). Structural (position of the energy minima), spectroscopic (vicinity around the minima), and reactivity (reaction path along the surface) properties may be determined from the analysis of PES. New theoretical tools, together with recent developments in computer technology and programming, have allowed to obtain a better knowledge of these surfaces, and to extract further chemical information from them, so new horizons have been added to Theoretical Organic Chemistry."

The present text is a rational analysis of the concept of the chemical bond by means of the principles of wave mechanics. The discussion of the material has been arranged so as to render its main content comprehensible for readers who may not have had pre"ious training in quantum mechanics. The text comprises three major parts. It begins with an exposition of the fundamental ideas. In this section the principles are reviewed from which de Broglie developed his mechanics; this allows the book to be read by chemistry majors and freshmen alike. However, we believe that it may also be of interest to university-and college teachers who must include certain aspects of quantum chemistry into their courses while being insufficiently familiar with the subject. It may even be of interest to science teachers in secondary schools. Finally, having been a witness to the evolution of these notions for over a quarter of a century, we present certain concepts from a particular point of view which might prove attractive to chemists of all kinds, perhaps even quantum chemists. The second, more technical part summarizes the methods of constructing wave functions that describe the electrons in molecules. This section can only be fully appreciated by those readers who are familiar with some aspects of the algorithms used in quantum mechanics.

The present work offers a snapshot of the state-of-the-art of crystallographic, analytical, and computational methods used in modern drug design and development. Topics discussed include: drug design against complex systems (membrane proteins, cell surface receptors, epigenetic targets, and ribosomes); modulation of protein-protein interactions; the impact of small molecule structures in drug discovery and the application of concepts such as molecular geometry, conformation, and flexibility to drug design; methodologies for understanding and characterizing protein states and protein-ligand interactions during the drug design process; and monoclonal antibody therapies. These methods are illustrated through their application to problems of medical and biological significance, such as viral and bacterial infections, diabetes, autoimmune disease, and CNS diseases. As approaches to drug discovery have changed over time, so have the methodologies used to solve the varied, new, and difficult problems encountered in drug discovery. In recent years we have seen great progress in the fields of genetics, biology, chemistry, and medicine, but there are still many unmet medical needs, from bacterial infections to cancer to chronic maladies, that require novel, different, or better therapies. This work will be of interest to researchers and policy makers interested in the latest developments in drug design.

Essentially, Orientations and Rotations treats the mathematical and computational foundations of texture analysis. It contains an extensive and thorough introduction to parameterizations and geometry of the rotation space. Since the notions of orientations and rotations are of primary importance for science and engineering, the book can be useful for a very broad audience using rotations in other fields.