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Electronic structure problems are studied in condensed matter physics and theoretical chemistry to provide important insights into the properties of matter. This 2006 graduate textbook describes the main theoretical approaches and computational techniques, from the simplest approximations to the most sophisticated methods. It starts with a detailed description of the various theoretical approaches to calculating the electronic structure of solids and molecules, including density-functional theory and chemical methods based on Hartree-Fock theory. The basic approximations are thoroughly discussed, and an in-depth overview of recent advances and alternative approaches in DFT is given. The second part discusses the different practical methods used to solve the electronic structure problem computationally, for both DFT and Hartree-Fock approaches. Adopting a unique and open approach, this textbook is aimed at graduate students in physics and chemistry, and is intended to improve communication between these communities. It also serves as a reference for researchers entering the field.
Electronic-structure calculations of the properties of specific materials have become increasingly important over the last 30 years. Although several books on the subject have been published, it is rare to find one that covers in detail both the traditional quantum chemistry and the solid-state physics methods of electronic-structure calculations. This title bridges that gap, focusing equally on both types of method, including density-functional and Hartree-Fock-based approaches. The book is aimed at final-year undergraduate and postgraduate students of both chemistry and of physics. It describes in detail the fundamentals behind the various methods that are used in calculating electronic properties of materials, and that to some extent are commercially available. It should also be of interest to professional scientists working in related theoretical or experimental fields.
This text offers basic understanding of the electronic structure of covalent and ionic solids, simple metals, transition metals and their compounds; also explains how to calculate dielectric, conducting, bonding properties.
An applications-oriented approach gives graduate students and researchers in the physical sciences the tools needed to analyze any physical system.
An important graduate textbook in condensed matter physics by highly regarded physicist.
Demonstrates how anyone in math, science, and engineering can master DFT calculations Density functional theory (DFT) is one of the most frequently used computational tools for studying and predicting the properties of isolated molecules, bulk solids, and material interfaces, including surfaces. Although the theoretical underpinnings of DFT are quite complicated, this book demonstrates that the basic concepts underlying the calculations are simple enough to be understood by anyone with a background in chemistry, physics, engineering, or mathematics. The authors show how the widespread availability of powerful DFT codes makes it possible for students and researchers to apply this important computational technique to a broad range of fundamental and applied problems. Density Functional Theory: A Practical Introduction offers a concise, easy-to-follow introduction to the key concepts and practical applications of DFT, focusing on plane-wave DFT. The authors have many years of experience introducing DFT to students from a variety of backgrounds. The book therefore offers several features that have proven to be helpful in enabling students to master the subject, including: Problem sets in each chapter that give readers the opportunity to test their knowledge by performing their own calculations Worked examples that demonstrate how DFT calculations are used to solve real-world problems Further readings listed in each chapter enabling readers to investigate specific topics in greater depth This text is written at a level suitable for individuals from a variety of scientific, mathematical, and engineering backgrounds. No previous experience working with DFT calculations is needed.
Graduate-level textbook for physicists, chemists and materials scientists.
This book provides an intuitive yet sound understanding of how structure and properties of solids may be related. The natural link is provided by the band theory approach to the electronic structure of solids. The chemically insightful concept of orbital interaction and the essential machinery of band theory are used throughout the book to build links between the crystal and electronic structure of periodic systems. In such a way, it is shown how important tools for understanding properties of solids like the density of states, the Fermi surface etc. can be qualitatively sketched and used to either understand the results of quantitative calculations or to rationalize experimental observations. Extensive use of the orbital interaction approach appears to be a very efficient way of building bridges between physically and chemically based notions to understand the structure and properties of solids.
This book delivers a comprehensive account of the main features and possibilities of LCAO methods for the first principles calculations of electronic structure of periodic systems. The first part describes the basic theory underlying the LCAO methods applied to periodic systems and the use of wave-function-based, density-based (DFT) and hybrid hamiltonians. The second part deals with the applications of LCAO methods for calculations of bulk crystal properties.
Dieses einzigartige Buch läßt Chemie und Physik im festen Zustand und auf Oberflächen 'zusammentreffen'. In einer lebhaften und anschaulichen Weise bringt es Chemikern die Sprache bei, mit der sie die Elektronenstruktur ausgedehnter Systeme verstehen lernen können. Gleichzeitig zeigt es, wie auch von Seiten der Chemie Modelle über den festen Zustand sowie über Bindungen und Reaktivität von Oberflächen erstellt werden können. Das Buch bedient sich zunächst der Sprache von Kristallorbitalen, Bandstrukturen und Zustandsdichten. Danach stellt es die Werkzeuge bereit, mit denen der Leser weg von den stark delokalisierten Orbitalen des Festkörpers gelangt, darunter der Zerfall von Zustandsdichten und die Population von Kristallorbital-Overlaps. Mit diesen Werkzeugen schafft es der Autor, detaillierte quantenmechanische Berechnungen mit der chemischen Betrachtungsweise mit Grenzorbitalen zu verknüpfen. Die beschriebenen Anwendungen umfassen eine allgemeine Vorstellung der Chemisorption, Bindungsbildung und -zerfall im festen Zustand, Bindungen im Metall, die Elektronenstruktur ausgewählter leitender und supraleitender Verbindungen sowie die für die Deformation ausgedehnter Systeme verantwortlichen Kräfte.