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Electron Density and Bonding in Crystals: Principles, Theory and X-Ray Diffraction Experiments in Solid State Physics and Chemistry provides a comprehensive, unified account of the use of diffraction techniques to determine the distribution of electrons in crystals. The book discusses theoretical and practical techniques, the application of electron density studies to chemical bonding, and the determination of the physical properties of condensed matter. The book features the authors' own key contributions to the subject as well a thorough, critical summary of the extensive literature on electron density and bonding. Logically organized, coverage ranges from the theoretical and experimental basis of electron density determination to its impact on investigations of the nature of the chemical bond and its uses in determining electromagnetic and optical properties of crystals. The main text is supplemented by appendices that provide clear, concise guidance on aspects such as systems of units, quantum theory of atomic vibrations, atomic orbitals, and creation and annihilation operators. The result is a valuable compendium of modern knowledge on electron density distributions, making this reference a standard for crystallographers, condensed matter physicists, theoretical chemists, and materials scientists.
Science advances by leaps and bounds rather than linearly in time. I t is not uncommon for a new concept or approach to generate a lot of initial interest, only to enter a quiet period of years or decades and then suddenly reemerge as the focus of new exciting investigations. This is certainly the case of the reduced density matrices (a k a N-matrices or RDMs), whose promise of a great simplification of quantum-chemical approaches faded away when the prospects of formulating the auxil iary yet essential N-representability conditions turned quite bleak. How ever, even during the period that followed this initial disappointment, the 2-matrices and their one-particle counterparts have been ubiquitous in the formalisms of modern electronic structure theory, entering the correlated-level expressions for the first-order response properties, giv ing rise to natural spinorbitals employed in the configuration interaction method and in rigorous analysis of electronic wavefunctions, and al lowing direct calculations of ionization potentials through the extended Koopmans'theorem. The recent research of Nakatsuji, Valdemoro, and Mazziotti her alds a renaissance of the concept of RDlvls that promotes them from the role of interpretive tools and auxiliary quantities to that of central variables of new electron correlation formalisms. Thanks to the economy of information offered by RDMs, these formalisms surpass the conven tional approaches in conciseness and elegance of formulation. As such, they hold the promise of opening an entirely new chapter of quantum chemistry.
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.
This important book collects together stateOCoofOCotheOCoart reviews of diverse topics covering almost all the major areas of modern quantum chemistry. The current focus in the discipline of chemistry OCo synthesis, structure, reactivity and dynamics OCo is mainly on control . A variety of essential computational tools at the disposal of chemists have emerged from recent studies in quantum chemistry. The acceptance and application of these tools in the interfacial disciplines of the life and physical sciences continue to grow. The new era of modern quantum chemistry throws up promising potentialities for further research. Reviews of Modern Quantum Chemistry is a joint endeavor, in which renowned scientists from leading universities and research laboratories spanning 22 countries present 59 inOCodepth reviews. Along with a personal introduction written by Professor Walter Kohn, Nobel laureate (Chemistry, 1998), the articles celebrate the scientific contributions of Professor Robert G Parr on the occasion of his 80th birthday. List of Contributors: W Kohn, M Levy, R Pariser, B R Judd, E Lo, B N Plakhutin, A Savin, P Politzer, P Lane, J S Murray, A J Thakkar, S R Gadre, R F Nalewajski, K Jug, M Randic, G Del Re, U Kaldor, E Eliav, A Landau, M Ehara, M Ishida, K Toyota, H Nakatsuji, G Maroulis, A M Mebel, S Mahapatra, R CarbOCoDorca, u Nagy, I A Howard, N H March, SOCoB Liu, R G Pearson, N Watanabe, S TenOCono, S Iwata, Y Udagawa, E Valderrama, X Fradera, I Silanes, J M Ugalde, R J Boyd, E V Ludea, V V Karasiev, L Massa, T Tsuneda, K Hirao, J-M Tao, J P Perdew, O V Gritsenko, M Grning, E J Baerends, F Aparicio, J Garza, A Cedillo, M Galvin, R Vargas, E Engel, A HAck, R N Schmid, R M Dreizler, J Poater, M Sola, M Duran, J Robles, X Fradera, P K Chattaraj, A Poddar, B Maiti, A Cedillo, S Guti(r)rrezOCoOliva, P Jaque, A ToroOCoLabb(r), H Chermette, P Boulet, S Portmann, P Fuentealba, R Contreras, P Geerlings, F De Proft, R Balawender, D P Chong, A Vela, G Merino, F Kootstra, P L de Boeij, R van Leeuwen, J G Snijders, N T Maitra, K Burke, H Appel, E K U Gross, M K Harbola, H F Hameka, C A Daul, I Ciofini, A Bencini, S K Ghosh, A Tachibana, J M CabreraOCoTrujillo, F Tenorio, O Mayorga, M Cases, V Kumar, Y Kawazoe, A M KAster, P Calaminici, Z Gmez, U Reveles, J A Alonso, L M Molina, M J Lpez, F Dugue, A Maanes, C A Fahlstrom, J A Nichols, D A Dixon, P A Derosa, A G Zacarias, J M Seminario, D G Kanhere, A Vichare, S A Blundell, ZOCoY Lu, HOCoY Liu, M Elstner, WOCoT Yang, J Muoz, X Fradera, M Orozco, F J Luque, P Tarakeshwar, H M Lee, K S Kim, M Valiev, E J Bylaska, A Gramada, J H Weare, J Brickmann, M Keil, T E Exner, M Hoffmann & J Rychlewski. Contents: Volume I: Applications of the Automorphisms of SO(8) to the Atomic f Shell (B R Judd & E Lo); Probability Distributions and Valence Shells in Atoms (A Savin); Information Theoretical Approaches to Quantum Chemistry (S R Gadre); Quantum Chemical Justification for Clar''s Valence Structures (M Randic); Functional Expansion Approach in Density Functional Theory (S-B Liu); Normconserving Pseudopotentials for the Exact Exchange Functional (E Engel et al.); Volume II: Chemical Reactivity and Dynamics within a Density-based Quantum Mechanical Framework (P K Chattaraj et al.); Fukui Functions and Local Softness (H Chermette et al.); The Nuclear Fukui Function (P Geerlings et al.); Causality in Time-Dependent Density-Functional Theory (M K Harbola); Theoretical Studies of Molecular Magnetism (H F Hameka); Melting in Finite-Sized Systems (D G Kanhere et al.); Density Functional Theory (DFT) and Drug Design (M Hoffmann & J Rychlewski); and other papers. Readership: Researchers and academics in computational, physical, fullerene, industrial, polymer, solid state and theoretical/quantum chemistry; nanoscience, superconductivity & magnetic materials, surface science; atomic, computational and condensed matter physics; and thermodynamics."
Electron Densities in Molecules and Molecular Orbitals aims to explain the subject of molecular orbitals without having to rely much on its mathematical aspect, making it more approachable to those who are new to quantum chemistry. The book covers topics such as orbitals in quantum-chemical calculations; electronic ionizations and transitions; molecular-orbital change distributions; orbital transformations and calculations not involving orbitals; and electron densities and shapes in atoms and molecules. Also included in the book are the cross-sectional plots of electron densities of compounds such as organic compounds like methane, ethane, and ethylene; monomeric lithium fluoride and monomeric methyl lithium; hydrogen cyanide and methinophosphide; and monomeric borane and diborane. The text is recommended for those who have begun taking an interest in quantum chemistry but do not wish to deal yet with the mathematics part of the subject.
This volume records the proceedings of a Forum on The Fundamentals of Electron Density, Density Matrix and Density Functional Theory in Atoms, Molecules and the Solid State held at the Coseners' House, Abingdon-on-Thames, Oxon. over the period 31st May - 2nd June, 2002. The forum consisted of 26 oral and poster presentations followed by a discussion structure around questions and comments submitted by the participants (and others who had expressed an interest) in advance of the meeting. Quantum mechanics provides a theoretical foundation for our under standing of the structure and properties of atoms, molecules and the solid state in terms their component particles, electrons and nuclei. (Rel ativistic quantum mechanics is required for molecular systems contain ing heavy atoms.) However, the solution of the equations of quantum mechanics yields a function, a wave function, which depends on the co ordinates, both space and spin, of all of the particles in the system. This functions contains much more information than is required to yield the energy or other property.
T. Koritsanszky, A. Volkov, M. Chodkiewicz: New Directions in Pseudoatom-Based X-Ray Charge Density Analysis.- B. Dittrich, D. Jayatilaka: Reliable Measurements of Dipole Moments from Single-Crystal Diffraction Data and Assessment of an In-Crystal Enhancement.- B. Engels, Th. C. Schmidt, C. Gatti, T. Schirmeister, R.F. Fink: Challenging Problems in Charge Density Determination: Polar Bonds and Influence of the Environment.- S. Fux, M. Reiher: Electron Density in Quantum Theory.- K. Meindl, J.Henn: Residual Density Analysis.- C. Gatti: The Source Function Descriptor as a Tool to Extract Chemical Information from Theoretical and Experimental Electron Densities.
Anhand verschiedener Beispiele zeigen die Autoren die Bedeutung der Kristallographie für Chemie und Biochemie auf und bieten somit eine gute Zusammenfassung der allgemeinen Prinzipien der Kristallstrukturanalyse. Zum einen sollen Interessierte, die diese Methode nicht selbst durchführen, in die Lage versetzt werden, deren Ergebnisse zu interpretieren. Zum anderen wird dem Leser deutlich gemacht, welche Bedeutung die ungeheure Datenmenge, die sich aus dieser Methode ergibt, einerseits für die Chemie sowie andererseits für die Biochemie hat. Das Buch ist verständlich geschrieben und mit zahlreichen Abbildungen versehen. Durch die Darstellung der Kristallstrukturanalyse im Vergleich zu anderen Methoden ist das Werk auch besonders für fortgeschrittene Studenten geeignet, die sich mit der Kristallographie vertraut machen wollen.