Quantum crystallography (QCr) is a novel scientific discipline combining quantum chemistry methods and crystal structure determination. Written by leading experts in the field, this book describes original quantum-mechanical approaches to obtain crystallographic data of enhanced value and explains how they correlate with real diffraction and scattering experiments. In particular, the book covers quantum N-representability, Clinton equations, kernel energy method (KEM), and quantum theory of atoms in molecules (QTAIM) methods and their applications in crystallographic studies. Readers will be interested in the Foreword written by Nobel Laureate Ada Yonath and the Epilogue by noted science philosopher Olimpia Lombardi.

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.

This volume summarises recent developments and highlights new techniques which will define possible future directions for small molecule X-ray crystallography. It provides an insight into how specific aspects of crystallography are developing and shows how they may interact or integrate with other areas of science. The development of more sophisticated equipment and the massive rise in computing power has made it possible to solve the three-dimensional structure of an organic molecule within hours if not minutes. This successful trajectory has resulted in the ability to study ever more complex molecules and use smaller and smaller crystals. The structural parameters for over a million organic and organometallic compounds are now archived in the most commonly used database and this wealth of information creates a new set of problems for future generations of scientists. The volume provides some insight into how users of crystallographic structural data banks can navigate their way through a world where “big data” has become the norm. The coupling of crystallography to quantum chemical calculations provides detailed information about electron distributions in crystals affording a much more detailed analysis of bonding than has been possible previously. In quantum crystallography, quantum mechanical wavefunctions are used to extract information about bonding and properties from the measured X-ray structure factors. The advent of quantum crystallography has resulted in form and structure factors derived from quantum mechanics which have been used in advanced refinement and wavefunction fitting. This volume describes how quantum mechanically derived atomic form factors and structure factors are constructed to allow the improved description of the diffraction experiment. It further discusses recent developments in this field and illustrates their applications with a wide range of examples. This volume will be of interest to chemists and crystallographers with an interest in the synthesis, characterisation and physical and catalytic properties of solid-state materials. It will also be relevant for the community of computational chemists who study chemical systems. Postgraduate students entering the field will benefit from a historical introduction to the way in which scientists have used the data derived from crystallography to develop new structural and bonding models.

Clear, concise explanation of logical development of basic crystallographic concepts. Topics include crystals and lattices, symmetry, x-ray diffraction, and more. Problems, with answers. 114 illustrations. 1969 edition.

Zeitschrift für Kristallographie. Supplement Volume 38 presents the complete Abstracts of all contributions to the 26th Annual Conference of the German Crystallographic Society in Essen (Germany) 2018: - Plenary Talks - Microsymposia - Poster Session Supplement Series of Zeitschrift für Kristallographie publishes Abstracts of international conferences on the interdisciplinary field of crystallography.

Divided into five major parts, the two volumes of this ready reference cover the tailoring of theoretical methods for biochemical computations, as well as the many kinds of biomolecules, reaction and transition state elucidation, conformational flexibility determination, and drug design. Throughout, the chapters gradually build up from introductory level to comprehensive reviews of the latest research, and include all important compound classes, such as DNA, RNA, enzymes, vitamins, and heterocyclic compounds. The result is in-depth and vital knowledge for both readers already working in the field as well as those entering it. Includes contributions by Prof. Ada Yonath (Nobel Prize in Chemistry 2009) and Prof. Jerome Karle (Nobel Prize in Chemistry 1985).

Electronic Structure Crystallography and Functional Motifs of Materials Detailed resource on the method of electronic structure crystallography for revealing the experimental electronic structure and structure-property relationships of functional materials Electronic Structure Crystallography and Functional Motifs of Materials describes electronic structure crystallography and functional motifs of materials, two of the most challenging topics to realize the rational design of high-performance functional materials, emphasizing the physical properties and structure-property relationships of functional materials using nonlinear optical materials as examples. The text clearly illustrates how to extract experimental electronic structure information and relevant physicochemical properties of materials based on the theories and methods in X-ray crystallography and quantum chemistry. Practical skills of charge density studies using experimental X-ray sources are also covered, which are particularly important for the future popularization and development of electron structure crystallography. This book also introduces the related theories and refinement techniques involved in using scattering methods (mainly X-ray single-crystal diffraction, as well as polarized neutron scattering and Compton scattering) to determine experimental electronic structures, including the experimental electron density, experimental electron wavefunction, and experimental electron density matrix of crystalline materials. Electronic Structure Crystallography and Functional Motifs of Materials includes information on: Basic framework and assumptions of the first-principle calculations, density matrix and density function, and Hartree-Fock (HF) and Kohn-Sham (KS) methods Analysis of topological atoms in molecules, chemical interaction analysis, coarse graining and energy partition of the density matrix, and restricted space partition Principles of electronic structure measurement, including thermal vibration analysis, scattering experiments, and refinement algorithm for experimental electronic structure Independent atom model, multipole model, X-ray constrained wavefunction model, and other electron density models Electronic Structure Crystallography and Functional Motifs of Materials is an ideal textbook or reference book for graduate students and researchers in chemistry, physics, and material sciences for studying the structures and properties of functional crystalline materials.