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Author: Roman F. Nalewajski Publisher: World Scientific ISBN: 9789810222451 Category : Science Languages : en Pages : 316
Book Description
Charge Sensitivity Analysis (CSA) represents a linear response treatment of molecular systems, based upon the chemical potential and hardness/softness concepts established within density functional theory (DFT). Recently, it has been shown to provide an attractive framework leading to novel approaches to chemical reactivity of open systems. The monograph presents the conceptual and methodological basis of the CSA covering its DFT roots, alternative resolutions and representations, sensitivities of closed and open atomic and molecular systems, charge stability criteria and relaxational effects due to the system environment, and alternative collective modes of charge redistribution. The CSA interaction energy in donor-acceptor systems is investigated in the second-order approximation. In particular, the relaxational contributions to the chemical potential, hardness and softness quantities are examined and their physical implications are summarized. The charge sensitivity concepts for reactive systems include: one- and two-reactant reactivity criteria, mapping relations between equilibrium displacements in the electron population and nuclear position spaces, the intersecting state model of charge transfer processes, intermediate hardness decoupling modes and the minimum energy coordinates, all defined in the electron population space. The conceptual developments are illustrated using recent qualitative and quantitative results on selected molecules, catalytic clusters and chemisorption systems. The CSA description is shown to connect directly to intuitive concepts and rules of chemistry, e.g., those related to interactions between hard/soft acids and bases.
Author: Roman F. Nalewajski Publisher: World Scientific ISBN: 9789810222451 Category : Science Languages : en Pages : 316
Book Description
Charge Sensitivity Analysis (CSA) represents a linear response treatment of molecular systems, based upon the chemical potential and hardness/softness concepts established within density functional theory (DFT). Recently, it has been shown to provide an attractive framework leading to novel approaches to chemical reactivity of open systems. The monograph presents the conceptual and methodological basis of the CSA covering its DFT roots, alternative resolutions and representations, sensitivities of closed and open atomic and molecular systems, charge stability criteria and relaxational effects due to the system environment, and alternative collective modes of charge redistribution. The CSA interaction energy in donor-acceptor systems is investigated in the second-order approximation. In particular, the relaxational contributions to the chemical potential, hardness and softness quantities are examined and their physical implications are summarized. The charge sensitivity concepts for reactive systems include: one- and two-reactant reactivity criteria, mapping relations between equilibrium displacements in the electron population and nuclear position spaces, the intersecting state model of charge transfer processes, intermediate hardness decoupling modes and the minimum energy coordinates, all defined in the electron population space. The conceptual developments are illustrated using recent qualitative and quantitative results on selected molecules, catalytic clusters and chemisorption systems. The CSA description is shown to connect directly to intuitive concepts and rules of chemistry, e.g., those related to interactions between hard/soft acids and bases.
Author: Pratim Kumar Chattaraj Publisher: CRC Press ISBN: 1420065440 Category : Science Languages : en Pages : 612
Book Description
In the 1970s, Density Functional Theory (DFT) was borrowed from physics and adapted to chemistry by a handful of visionaries. Now chemical DFT is a diverse and rapidly growing field, its progress fueled by numerous developing practical descriptors that make DFT as useful as it is vast. With 34 chapters written by 65 eminent scientists from 13 diffe
Author: Savas Kaya Publisher: Elsevier ISBN: 0323906281 Category : Science Languages : en Pages : 502
Book Description
The growth of technology for chemical assessment has led to great developments in the investigation of chemical reactivity in recent years, but key information is often dispersed across many different research fields. Exploring both traditional and advanced methods, Chemical Reactivity, Volume 2: Approaches and Applications present the latest approaches and strategies for the computational assessment of chemical reactivity.Following an insightful introduction, the book begins with an overview of conformer searching techniques before progressing to explore numerous different techniques and methods, including confined environments, quantum similarity descriptors, volume-based thermodynamics and polarizability. A unified approach to the rules of aromaticity is followed by methods for assessing interaction energies and the role of electron density for varied different analyses. Algorithms for confirmer searching, partitioning and a whole range of quantum chemical methods are also discussed.Consolidating the knowledge of a global team of experts in the field, Chemical Reactivity, Volume 2: Approaches and Applications is a useful resource for both students and researchers interested in applying and refining their use of the latest approaches for assessing chemical reactivity in their own work. Compiles a broad range of contemporary methods and approaches for reactivity and structure prediction Highlights the application of chemical reactivity strategies for the investigation of such areas as aromaticity, halogen bonds, and electronic materials Includes discussion of computational tools for exploring molecular spaces from different angles, including interaction energies, quantum similarity, and electron density
Author: Sérgio F. Sousa Publisher: MDPI ISBN: 3036506586 Category : Science Languages : en Pages : 182
Book Description
Over recent decades, the increase in computational resources, coupled with the popularity of competitive quantum mechanics alternatives (particularly DFT), has promoted the widespread penetration of quantum mechanics calculations into a variety of fields targeting the reactivity of molecules. This book presents a selection of original research papers and review articles illustrating diverse applications of quantum mechanics in the study of problems involving molecules and their reactivity.
Author: Pratim Kumar Chattaraj Publisher: John Wiley & Sons ISBN: 1394217625 Category : Science Languages : en Pages : 613
Book Description
Discover theoretical, methodological, and applied perspectives on electron density studies and density functional theory Electron density or the single particle density is a 3D function even for a many-electron system. Electron density contains all information regarding the ground state and also about some excited states of an atom or a molecule. All the properties can be written as functionals of electron density, and the energy attains its minimum value for the true density. It has been used as the basis for a quantum chemical computational method called Density Functional Theory, or DFT, which can be used to determine various properties of molecules. DFT brings out a drastic reduction in computational cost due to its reduced dimensionality. Thus, DFT is considered to be the workhorse for modern computational chemistry, physics as well as materials science. Electron Density: Concepts, Computation and DFT Applications offers an introduction to the foundations and applications of electron density studies and analysis. Beginning with an overview of major methodological and conceptual issues in electron density, it analyzes DFT and its major successful applications. The result is a state-of-the-art reference for a vital tool in a range of experimental sciences. Readers will also find: A balance of fundamentals and applications to facilitate use by both theoretical and computational scientists Detailed discussion of topics including the Levy-Perdew-Sahni equation, the Kohn Sham Inversion problem, and more Analysis of DFT applications including the determination of structural, magnetic, and electronic properties Electron Density: Concepts, Computation and DFT Applications is ideal for academic researchers in quantum, theoretical, and computational chemistry and physics.
Author: Roman F Nalewajski Publisher: Elsevier ISBN: 0323956238 Category : Medical Languages : en Pages : 354
Book Description
Chemical Reactivity in Quantum Mechanics and Information Theory introduces a thermodynamic-like description of molecular systems and provides an objective treatment of their fragments. The book formulates adequate entropic tools for probing in chemical terms and the electronic structure of molecules and rationalizing reactivity principles. It covers the information origins of chemical bonds, covalent/ionic composition, trends in molecular stability and reactivity, equilibrium polarizations and charge-transfer reconstructions of reactive complexes, as well as the phase/current promotions of molecular substrates. In addition, the book introduces a precise descriptor of molecular fragments and clarifies mostly intuitive semantics of several chemical concepts. Readers will find a precise and unbiased description of chemical reactivity phenomena in Donor-Acceptor systems in terms of quantum states and generalized concepts of Information/Communication theories. Generates a new basis for understanding the rules governing molecular processes, information origins of chemical bonding, and its covalent/ionic composition Provides an objective approach to classical issues in modern reactivity theory Offers a unifying information-theoretic perspective on electronic states
Author: John R. Sabin Publisher: Elsevier ISBN: 0080467393 Category : Science Languages : en Pages : 333
Book Description
Advances in Quantum Chemistry presents surveys of current developments in this rapidly developing field that falls between the historically established areas of mathematics, physics, chemistry, and biology. With invited reviews written by leading international researchers, each presenting new results, it provides a single vehicle for following progress in this interdisciplinary area. Advances in Quantum Chemistry, Volume 51 deals with various aspects of mathematical versus chemical applications. Some parts belong to established scientific domains, where technical progress has been crucial for the development of modern quantum chemistry as well as the quantification problem in spectral resonance analysis. The first chapter in the volume, concerns the calculation of molecular electronic structure to high accuracy, using a variety of one and two-body schemes in the coupled cluster family of methods. Chapter 2 is devoted to Angular Momentum Diagrams. In chapters 3 and 4, the autors portray Chemical Graph Theory (CGT). Advances quantum mechanical signal processing through the fast Padé transform (FPT) are covered in Chapter 5. The concluding chapter gives a mathematical view of molecular equilibria using a Density-Functional Theory (DFT) description. Publishes articles, invited reviews and proceedings of major international conferences and workshops Compiled by the leading international researchers in quantum and theoretical chemistry Highlights the important, interdisciplinary developments
Author: Nazmul Islam Publisher: CRC Press ISBN: 1000089835 Category : Technology & Engineering Languages : en Pages : 244
Book Description
Mathematics Applied to Engineering in Action: Advanced Theories, Methods, and Models focuses on material relevant to solving the kinds of mathematical problems regularly confronted by engineers. This new volume explains how an engineer should properly define the physical and mathematical problem statements, choose the computational approach, and solve the problem by a proven reliable approach. It presents the theoretical background necessary for solving problems, including definitions, rules, formulas, and theorems on the particular theme. The book aims to apply advanced mathematics using real-world problems to illustrate mathematical ideas. This approach emphasizes the relevance of mathematics to engineering problems, helps to motivate the reader, and gives examples of mathematical concepts in a context familiar to the research students. The volume is intended for professors and instructors, scientific researchers, students, and industry professionals. It will help readers to choose the most appropriate mathematical modeling method to solve engineering problems.
Author: Roman F. Nalewajski Publisher: Springer Science & Business Media ISBN: 3642201792 Category : Science Languages : en Pages : 727
Book Description
The understanding in science implies insights from several different points of view. Alternative modern outlooks on electronic structure of atoms and molecules, all rooted in quantum mechanics, are presented in a single text. Together these complementary perspectives provide a deeper understanding of the localization of electrons and bonds, the origins of chemical interaction and reactivity behavior, the interaction between the geometric and electronic structure of molecules, etc. In the opening two parts the basic principles and techniques of the contemporary computational and conceptual quantum chemistry are presented, within both the wave-function and electron-density theories. This background material is followed by a discussion of chemical concepts, including stages of the bond-formation processes, chemical valence and bond-multiplicity indices, the hardness/softness descriptors of molecules and reactants, and general chemical reactivity/stability principles. The insights from Information Theory, the basic elements of which are briefly introduced, including the entropic origins and Orbital Communication Theory of the chemical bond, are the subject of Part IV. The importance of the non-additive (interference) information tools in exploring patterns of chemical bonds and their covalent and ionic components will be emphasized.
Author: Lucjan Piela Publisher: Elsevier ISBN: 0444594574 Category : Science Languages : en Pages : 1272
Book Description
Ideas of Quantum Chemistry shows how quantum mechanics is applied to chemistry to give it a theoretical foundation. From the Schroedinger equation to electronic and nuclear motion to intermolecular interactions, this book covers the primary quantum underpinnings of chemical systems. The structure of the book (a TREE-form) emphasizes the logical relationships among various topics, facts and methods. It shows the reader which parts of the text are needed for understanding specific aspects of the subject matter. Interspersed throughout the text are short biographies of key scientists and their contributions to the development of the field. Ideas of Quantum Chemistry has both textbook and reference work aspects. Like a textbook, the material is organized into digestible sections with each chapter following the same structure. It answers frequently asked questions and highlights the most important conclusions and the essential mathematical formulae in the text. In its reference aspects, it has a broader range than traditional quantum chemistry books and reviews virtually all of the pertinent literature. It is useful both for beginners as well as specialists in advanced topics of quantum chemistry. An appendix on the Internet supplements this book. Presents the widest range of quantum chemical problems covered in one book Unique structure allows material to be tailored to the specific needs of the reader Informal language facilitates the understanding of difficult topics
Author: Roman F. Nalewajski
Author: Roman F. Nalewajski
Author: Pratim Kumar Chattaraj
Author: Savas Kaya
Author: Sérgio F. Sousa
Author: Pratim Kumar Chattaraj
Author: Roman F Nalewajski
Author: John R. Sabin
Author: Nazmul Islam
Author: Roman F. Nalewajski
Author: Lucjan Piela