Electron and Magnetization Densities in Molecules and Crystals

Electron and Magnetization Densities in Molecules and Crystals
Author: Pierre Becker
Publisher: Springer Science & Business Media
Total Pages: 885
Release: 2013-11-21
Genre: Technology & Engineering
ISBN: 1468410180

The interest of describing the ground state properties of a system in terms of one electron density (or its two spin components) is obvious, in particular due to the simple physical significance of this function. Recent experimental progress in diffraction made the measurement of charge and magnetization densities in crystalline solids possible, with an accuracy at least as good as theoretical accuracy. Theoretical developments of the many-body problem have proved the extreme importance of the one electron density function and presently, accurate methods of band structure determination become available. Parallel to the diffraction techniques, other domains of research (inelastic scattering, resonance, molecular spectroscopy) deal with quantities directly related to the one particle density. But the two types of studies do not interfere enough and one should obviously gain more information by interpreting all experiments that are related to the density together. It became necessary to have an International School that reviews the status of the art in the domain of "ELECTRON AND MAGNETIZATION DENSITIES IN MOLECULES AND CRYSTALS". This was made possible through the generous effort of N.A.T.O. 's Scientific Affairs Division, and I would specially thank Dr. T. KESTER, the head of this Division, for his help and competence. An Advanced Study Institute was thus held in ARLES, south France, from the 16th to the 31st of August 1978.

Electron Density and Bonding in Crystals

Electron Density and Bonding in Crystals
Author: V.G Tsirelson
Publisher: CRC Press
Total Pages: 544
Release: 1996-01-01
Genre: Science
ISBN: 9780750302845

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.

Many-Electron Densities and Reduced Density Matrices

Many-Electron Densities and Reduced Density Matrices
Author: Jerzy Cioslowski
Publisher: Springer Science & Business Media
Total Pages: 311
Release: 2012-12-06
Genre: Science
ISBN: 1461542111

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.

Electron Density and Bonding in Crystals

Electron Density and Bonding in Crystals
Author: V.G Tsirelson
Publisher: CRC Press
Total Pages: 529
Release: 2020-11-25
Genre: Science
ISBN: 1000112357

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.

Electron Density and Chemical Bonding II

Electron Density and Chemical Bonding II
Author: Dietmar Stalke
Publisher: Springer
Total Pages: 300
Release: 2012-06-05
Genre: Science
ISBN: 3642308082

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.

Quantum Crystallography: Expectations vs Reality

Quantum Crystallography: Expectations vs Reality
Author: Piero Macchi
Publisher: Springer Nature
Total Pages: 98
Release: 2022-03-05
Genre: Science
ISBN: 3030956415

This book explores the potential of quantum crystallography. The field accompanied the major milestones of x-ray diffraction and it has undergone a rapid evolution in the past few years. For this reason, some reflections are necessary in order to scrutinize the next steps and anticipate the future developments. After a short survey of the historical background and in depth description of the state of the art, some examples are provided of current and future applications of the know-how in this discipline. This implies attracting readership of both experts in the field and neophytes. The former will test their own views with the one exposed in the book; the newcomers, instead, will learn both what has been done and what could be done with quantum crystallography.

Electrons In Metals And Alloys

Electrons In Metals And Alloys
Author: J. A. Alonso
Publisher: Academic Press
Total Pages: 616
Release: 2012-12-02
Genre: Technology & Engineering
ISBN: 0080984495

This book is a broad review of the electronic structure of metals and alloys. It emphasises the way in which the behavior of electrons in these materials governs the thermodynamic and other properties of these conducting materials. The theoretical treatment proceeds from a wave mechanics approach to more sophisticated techniques for the description of the properties of metals and alloys.