Analysis of Functional Models in Density Functional Theory

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Analysis of Functional Models in Density Functional Theory by : Tyrel Kerpan

Download or read book Analysis of Functional Models in Density Functional Theory written by Tyrel Kerpan and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Recent Developments and Applications of Modern Density Functional Theory

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Publisher : Elsevier
ISBN 13 : 0080540392
Total Pages : 863 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Recent Developments and Applications of Modern Density Functional Theory by : Jorge M. Seminario

Download or read book Recent Developments and Applications of Modern Density Functional Theory written by Jorge M. Seminario and published by Elsevier. This book was released on 1996-11-18 with total page 863 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present status of Density Functional Theory (DFT), which has evolved as the main technique for the study of matter at the atomistic level, is described in this volume. Knowing the behavior of atoms and molecules provides a sure avenue for the design of new materials with specific features and properties in many areas of science and technology. A technique based on purely first principles allowing large savings in time and money greatly benefits the specialist or designer of new materials. The range of areas where DFT is applied has expanded and continues to do so. Any area where a molecular system is the center of attention can be studied using DFT.The scope of the 22 chapters in this book amply testifies to this.

Density Functional Theory

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Publisher : Springer Nature
ISBN 13 : 3031223403
Total Pages : 595 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Density Functional Theory by : Eric Cancès

Download or read book Density Functional Theory written by Eric Cancès and published by Springer Nature. This book was released on 2023-07-18 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: Density functional theory (DFT) provides the most widely used models for simulating molecules and materials based on the fundamental laws of quantum mechanics. It plays a central role in a huge spectrum of applications in chemistry, physics, and materials science.Quantum mechanics describes a system of N interacting particles in the physical 3-dimensional space by a partial differential equation in 3N spatial variables. The standard numerical methods thus incur an exponential increase of computational effort with N, a phenomenon known as the curse of dimensionality; in practice these methods already fail beyond N=2. DFT overcomes this problem by 1) reformulating the N-body problem involving functions of 3N variables in terms of the density, a function of 3 variables, 2) approximating it by a pioneering hybrid approach which keeps important ab initio contributions and re-models the remainder in a data-driven way. This book intends to be an accessible, yet state-of-art text on DFT for graduate students and researchers in applied and computational mathematics, physics, chemistry, and materials science. It introduces and reviews the main models of DFT, covering their derivation and mathematical properties, numerical treatment, and applications.

Density Functional Theory

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Publisher : Nova Science Publishers
ISBN 13 : 9781624179549
Total Pages : 0 pages
Book Rating : 4.1/5 (795 download)

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Book Synopsis Density Functional Theory by : Joseph Morin

Download or read book Density Functional Theory written by Joseph Morin and published by Nova Science Publishers. This book was released on 2013 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Density Functional Theory (DFT) is a quantum mechanical modelling method, used in physics and chemistry to investigate the electronic structure (principally the ground state) of many-body systems, in particular atoms, molecules, and the condensed phases. This book provides current research in the study of the principles, applications, and analysis of Density Functional Theory (DFT).

Materials Modelling Using Density Functional Theory

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Publisher : Oxford University Press, USA
ISBN 13 : 0199662444
Total Pages : 303 pages
Book Rating : 4.1/5 (996 download)

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Book Synopsis Materials Modelling Using Density Functional Theory by : Feliciano Giustino

Download or read book Materials Modelling Using Density Functional Theory written by Feliciano Giustino and published by Oxford University Press, USA. This book was released on 2014 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book explains the fundamental ideas of density functional theory, and how this theory can be used as a powerful method for explaining and even predicting the properties of materials with stunning accuracy.

Quantum Chemistry and Dynamics of Excited States

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Publisher : John Wiley & Sons
ISBN 13 : 1119417759
Total Pages : 52 pages
Book Rating : 4.1/5 (194 download)

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Book Synopsis Quantum Chemistry and Dynamics of Excited States by : Leticia González

Download or read book Quantum Chemistry and Dynamics of Excited States written by Leticia González and published by John Wiley & Sons. This book was released on 2021-02-01 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the rapidly evolving methodology of electronic excited states For academic researchers, postdocs, graduate and undergraduate students, Quantum Chemistry and Dynamics of Excited States: Methods and Applications reports the most updated and accurate theoretical techniques to treat electronic excited states. From methods to deal with stationary calculations through time-dependent simulations of molecular systems, this book serves as a guide for beginners in the field and knowledge seekers alike. Taking into account the most recent theory developments and representative applications, it also covers the often-overlooked gap between theoretical and computational chemistry. An excellent reference for both researchers and students, Excited States provides essential knowledge on quantum chemistry, an in-depth overview of the latest developments, and theoretical techniques around the properties and nonadiabatic dynamics of chemical systems. Readers will learn: ● Essential theoretical techniques to describe the properties and dynamics of chemical systems ● Electronic Structure methods for stationary calculations ● Methods for electronic excited states from both a quantum chemical and time-dependent point of view ● A breakdown of the most recent developments in the past 30 years For those searching for a better understanding of excited states as they relate to chemistry, biochemistry, industrial chemistry, and beyond, Quantum Chemistry and Dynamics of Excited States provides a solid education in the necessary foundations and important theories of excited states in photochemistry and ultrafast phenomena.

Energy Density Functional Theory of Many-Electron Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 9400919700
Total Pages : 862 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Energy Density Functional Theory of Many-Electron Systems by : Eugene S. Kryachko

Download or read book Energy Density Functional Theory of Many-Electron Systems written by Eugene S. Kryachko and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 862 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Density Functional Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3642140904
Total Pages : 543 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Density Functional Theory by : Eberhard Engel

Download or read book Density Functional Theory written by Eberhard Engel and published by Springer Science & Business Media. This book was released on 2011-02-14 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: Density Functional Theory (DFT) has firmly established itself as the workhorse for atomic-level simulations of condensed phases, pure or composite materials and quantum chemical systems. This work offers a rigorous and detailed introduction to the foundations of this theory, up to and including such advanced topics as orbital-dependent functionals as well as both time-dependent and relativistic DFT. Given the many ramifications of contemporary DFT, the text concentrates on the self-contained presentation of the basics of the most widely used DFT variants: this implies a thorough discussion of the corresponding existence theorems and effective single particle equations, as well as of key approximations utilized in implementations. The formal results are complemented by selected quantitative results, which primarily aim at illustrating the strengths and weaknesses of particular approaches or functionals. The structure and content of this book allow a tutorial and modular self-study approach: the reader will find that all concepts of many-body theory which are indispensable for the discussion of DFT - such as the single-particle Green's function or response functions - are introduced step by step, along with the actual DFT material. The same applies to basic notions of solid state theory, such as the Fermi surface of inhomogeneous, interacting systems. In fact, even the language of second quantization is introduced systematically in an Appendix for readers without formal training in many-body theory.

Density Functional Theory

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Publisher : John Wiley & Sons
ISBN 13 : 1118211049
Total Pages : 252 pages
Book Rating : 4.1/5 (182 download)

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Book Synopsis Density Functional Theory by : David S. Sholl

Download or read book Density Functional Theory written by David S. Sholl and published by John Wiley & Sons. This book was released on 2011-09-20 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Recent Advances in Density Functional Methods

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Publisher : World Scientific
ISBN 13 : 9789810231606
Total Pages : 344 pages
Book Rating : 4.2/5 (316 download)

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Book Synopsis Recent Advances in Density Functional Methods by : Delano Pun Chong

Download or read book Recent Advances in Density Functional Methods written by Delano Pun Chong and published by World Scientific. This book was released on 1995 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Of all the different areas in computational chemistry, density functional theory (DFT) enjoys the most rapid development. Even at the level of the local density approximation (LDA), which is computationally less demanding, DFT can usually provide better answers than Hartree-Fock formalism for large systems such as clusters and solids. For atoms and molecules, the results from DFT often rival those obtained by ab initio quantum chemistry, partly because larger basis sets can be used. Such encouraging results have in turn stimulated workers to further investigate the formal theory as well as the computational methodology of DFT.This Part II expands on the methodology and applications of DFT. Some of the chapters report on the latest developments (since the publication of Part I in 1995), while others extend the applications to wider range of molecules and their environments. Together, this and other recent review volumes on DFT show that DFT provides an efficient and accurate alternative to traditional quantum chemical methods. Such demonstration should hopefully stimulate frutiful developments in formal theory, better exchange-correlation functionals, and linear scaling methodology.

Recent Advances in Density Functional Methods

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Publisher : World Scientific
ISBN 13 : 9810248253
Total Pages : 432 pages
Book Rating : 4.8/5 (12 download)

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Book Synopsis Recent Advances in Density Functional Methods by : Delano Pun Chong

Download or read book Recent Advances in Density Functional Methods written by Delano Pun Chong and published by World Scientific. This book was released on 1995 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last few years, much attention has been given by theoretical chemists to the development of more accurate model functionals and faster computational techniques including excited electronic states. The 8th International Conference on the Applications of Density Functional Theory to Chemistry and Physics, held in Rome, Italy, on 6-10 September 1999, gathered chemists and physicists to present and discuss state-of-the-art methodological developments and applications of density functional theory (DFT) to increasingly complex systems. The scientists shared their knowledge and experience in DFT, enabling them to face the challenges posed by the needs of high level modeling and simulation in their disciplines. The meeting was opened with an exciting lecture delivered by Nobel laureate W Kohn. The growing use of DFT in studying organic, inorganic and organometallic molecules, clusters and solids provided the basis for the success of the conference, whose main contributions are collected in this invaluable book.

A Chemist's Guide to Density Functional Theory

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Publisher : John Wiley & Sons
ISBN 13 : 3527802819
Total Pages : 378 pages
Book Rating : 4.5/5 (278 download)

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Book Synopsis A Chemist's Guide to Density Functional Theory by : Wolfram Koch

Download or read book A Chemist's Guide to Density Functional Theory written by Wolfram Koch and published by John Wiley & Sons. This book was released on 2015-11-18 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Chemists familiar with conventional quantum mechanics will applaud and benefit greatly from this particularly instructive, thorough and clearly written exposition of density functional theory: its basis, concepts, terms, implementation, and performance in diverse applications. Users of DFT for structure, energy, and molecular property computations, as well as reaction mechanism studies, are guided to the optimum choices of the most effective methods. Well done!" Paul von Rague Schleyer "A conspicuous hole in the computational chemist's library is nicely filled by this book, which provides a wide-ranging and pragmatic view of the subject.[...It] should justifiably become the favorite text on the subject for practioneers who aim to use DFT to solve chemical problems." J. F. Stanton, J. Am. Chem. Soc. "The authors' aim is to guide the chemist through basic theoretical and related technical aspects of DFT at an easy-to-understand theoretical level. They succeed admirably." P. C. H. Mitchell, Appl. Organomet. Chem. "The authors have done an excellent service to the chemical community. [...] A Chemist's Guide to Density Functional Theory is exactly what the title suggests. It should be an invaluable source of insight and knowledge for many chemists using DFT approaches to solve chemical problems." M. Kaupp, Angew. Chem.

Heterogeneous Catalysts

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Publisher : John Wiley & Sons
ISBN 13 : 352781356X
Total Pages : 768 pages
Book Rating : 4.5/5 (278 download)

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Book Synopsis Heterogeneous Catalysts by : Wey Yang Teoh

Download or read book Heterogeneous Catalysts written by Wey Yang Teoh and published by John Wiley & Sons. This book was released on 2021-02-23 with total page 768 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents state-of-the-art knowledge of heterogeneous catalysts including new applications in energy and environmental fields This book focuses on emerging techniques in heterogeneous catalysis, from new methodology for catalysts design and synthesis, surface studies and operando spectroscopies, ab initio techniques, to critical catalytic systems as relevant to energy and the environment. It provides the vision of addressing the foreseeable knowledge gap unfilled by classical knowledge in the field. Heterogeneous Catalysts: Advanced Design, Characterization and Applications begins with an overview on the evolution in catalysts synthesis and introduces readers to facets engineering on catalysts; electrochemical synthesis of nanostructured catalytic thin films; and bandgap engineering of semiconductor photocatalysts. Next, it examines how we are gaining a more precise understanding of catalytic events and materials under working conditions. It covers bridging pressure gap in surface catalytic studies; tomography in catalysts design; and resolving catalyst performance at nanoscale via fluorescence microscopy. Quantum approaches to predicting molecular reactions on catalytic surfaces follows that, along with chapters on Density Functional Theory in heterogeneous catalysis; first principles simulation of electrified interfaces in electrochemistry; and high-throughput computational design of novel catalytic materials. The book also discusses embracing the energy and environmental challenges of the 21st century through heterogeneous catalysis and much more. Presents recent developments in heterogeneous catalysis with emphasis on new fundamentals and emerging techniques Offers a comprehensive look at the important aspects of heterogeneous catalysis Provides an applications-oriented, bottoms-up approach to a high-interest subject that plays a vital role in industry and is widely applied in areas related to energy and environment Heterogeneous Catalysts: Advanced Design, Characterization and Applications is an important book for catalytic chemists, materials scientists, surface chemists, physical chemists, inorganic chemists, chemical engineers, and other professionals working in the chemical industry.

Density Functional Theory

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Publisher : John Wiley & Sons
ISBN 13 : 1119840864
Total Pages : 228 pages
Book Rating : 4.1/5 (198 download)

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Book Synopsis Density Functional Theory by : David S. Sholl

Download or read book Density Functional Theory written by David S. Sholl and published by John Wiley & Sons. This book was released on 2023-02-07 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Density Functional Theory A concise and rigorous introduction to the applications of DFT calculations In the newly revised second edition of Density Functional Theory: A Practical Introduction, the authors deliver a concise and easy-to-follow introduction to the key concepts and practical applications of density functional theory (DFT) with an emphasis on plane-wave DFT. The authors draw on decades of experience in the field, offering students from a variety of backgrounds a balanced approach between accessibility and rigor, creating a text that is highly digestible in its entirety. This new edition: Discusses in more detail the accuracy of DFT calculations and the choice of functionals Adds an overview of the wide range of available DFT codes Contains more examples on the use of DFT for high throughput materials calculations Puts more emphasis on computing phase diagrams and on open ensemble methods widely used in electrochemistry Is significantly extended to cover calculation beyond standard DFT, e.g., dispersion-corrected DFT, DFT+U, time-dependent DFT Perfect for graduate students and postdoctoral candidates in physics and engineering, Density Functional Theory: A Practical Introduction will also earn a place in the libraries of researchers and practitioners in chemistry, materials science, and mechanical engineering.

Modern Density Functional Theory: A Tool For Chemistry

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Publisher : Elsevier
ISBN 13 : 0080536700
Total Pages : 419 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Modern Density Functional Theory: A Tool For Chemistry by : P. Politzer

Download or read book Modern Density Functional Theory: A Tool For Chemistry written by P. Politzer and published by Elsevier. This book was released on 1995-01-27 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: Density Functional Theory (DFT) is currently receiving a great deal of attention as chemists come to realize its important role as a tool for chemistry. This book covers the theoretical principles of DFT, and details its application to several contemporary problems. All current techniques are covered, many are critically assessed, and some proposals for the future are reviewed. The book demonstrates that DFT is a practical solution to the problems standard ab initio methods have with chemical accuracy. The book is aimed at both the theoretical chemist and the experimentalist who want to relate their experiments to the governing theory. It will prove a useful and enduring reference work.

Density-Functional Theory

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Publisher : Wiley-Blackwell
ISBN 13 : 9781118941348
Total Pages : 376 pages
Book Rating : 4.9/5 (413 download)

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Book Synopsis Density-Functional Theory by : Trygve Helgaker

Download or read book Density-Functional Theory written by Trygve Helgaker and published by Wiley-Blackwell. This book was released on 2016-06-10 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Density–functional theory (DFT) is a computational modelling tool used to describe molecules and materials. Different functions are used to determine the properties of electrons and molecules in solids. It is the most widely used method in electronic structure calculations in chemistry, material sciences and physics. Density–Functional Theory: A Convex Treatment gives an introduction to the more mathematical aspects of density–functional theory, allowing a larger group of theoretical chemists and physicists to obtain a full understanding of the theoretical foundation of DFT. Relevant mathematical apparatus, including functional and convex analysis, are introduced and developed before being applied in the subsequent chapter, allowing readers to develop their foundation of DFT. Recent mathematical developments which allow the simplifications of many original proofs while providing significant new insights, are also presented. Topics covered include: Hohenberg–Kohn theory Vector spaces and linear functionals Convex sets and their separation Lieb constrained–search theory Convex conjugation and duality Grand canonical ensembles Thomas–Fermi theory The adiabatic connection Scaling relations Exercises and detailed solutions can be found throughout the book. Density–Functional Theory: A Convex Treatment will provide a consistent and focused description of the fundamentals of DFT, making the important fundamental facts about DFT more accessible to graduate students in electronic structure theory, researchers in chemistry, physics, and materials science as well as theoretical chemists.

Theoretical prediction of properties of atomistic systems

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Publisher : Linköping University Electronic Press
ISBN 13 : 9176854868
Total Pages : 82 pages
Book Rating : 4.1/5 (768 download)

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Book Synopsis Theoretical prediction of properties of atomistic systems by : Alexander Lindmaa

Download or read book Theoretical prediction of properties of atomistic systems written by Alexander Lindmaa and published by Linköping University Electronic Press. This book was released on 2017-08-15 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: The prediction of ground state properties of atomistic systems is of vital importance in technological advances as well as in the physical sciences. Fundamentally, these predictions are based on a quantum-mechanical description of many-electron systems. One of the hitherto most prominent theories for the treatment of such systems is density functional theory (DFT). The main reason for its success is due to its balance of acceptable accuracy with computational efficiency. By now, DFT is applied routinely to compute the properties of atomic, molecular, and solid state systems. The general approach to solve the DFT equations is to use a density-functional approximation (DFA). In Kohn-Sham (KS) DFT, DFAs are applied to the unknown exchangecorrelation (xc) energy. In orbital-free DFT on the other hand, where the total energy is minimized directly with respect to the electron density, a DFA applied to the noninteracting kinetic energy is also required. Unfortunately, central DFAs in DFT fail to qualitatively capture many important aspects of electronic systems. Two prime examples are the description of localized electrons, and the description of systems where electronic edges are present. In this thesis, I use a model system approach to construct a DFA for the electron localization function (ELF). The very same approach is also taken to study the non-interacting kinetic energy density (KED) in the slowly varying limit of inhomogeneous electron densities, where the effect of electronic edges are effectively included. Apart from the work on model systems, extensions of an exchange energy functional with an improved KS orbital description are presented: a scheme for improving its description of energetics of solids, and a comparison of its description of an essential exact exchange feature known as the derivative discontinuity with numerical data for exact exchange. An emerging alternative route towards the prediction of the properties of atomistic systems is machine learning (ML). I present a number of ML methods for the prediction of solid formation energies, with an accuracy that is on par with KS DFT calculations, and with orders-of-magnitude lower computational cost. Att kunna förutsäga egenskaper hos atomistiska system utgör en viktigdel av vår teknologiska utveckling, samt spelar en betydande roll i defysikaliska vetenskaperna. Sådana förutsägelser bygger på en kvantmekaniskbeskrivning av mångelektronsystem. En av de mest framståendeteorierna för att behandla den här typen av system är täthetsfunktionalteorin(DFT). Den främsta orsaken till dess framgång är attden lyckas kombinera skaplig noggrannhet med en bra beräkningseffektivitet.DFT används numera rutinmässigt för att beräkna storheterhos atomer, molekyler, och fasta kroppar. Generellt sett löses ekvationerna inom DFT genom att man inför entäthetsfunktionalapproximation (DFA). I Kohn-Sham (KS) DFT, användsDFAer för att approximera utbytes-korrelationsenergin. Inom orbitalfriDFT, där målet är att direkt minimera den totala energin med avseendepå elektrontätheten, så approximerar man också den icke-interageranderörelseenergin hos elektronerna. Dessvärre så fallerar många centralaDFAer att kvalitativt beskriva många viktiga aspekter hos elektronsystem.Två viktiga exempel är beskrivningen av lokaliserade elektroner,samt beskrivningen av system där det förekommer elektronytor. I denna avhandling använder jag modellsystem för att konstruera enDFAför elektronlokaliseringsfunktionen (ELF). Samma tillvägagångssättappliceras sedan för att studera den kinetiska energitätheten i gränsen avlångsamt varierande elektrontätheter, där effekten av elektronytor effektivtinkluderas. Förutom arbetet som berör modellsystem, så presenterasen utökad variant av en utbytes-energifunktional med en förbättrad KSorbitalbeskrivning: ett schema för att förbättra dess energiegenskaperför solida material, samt en jämförelse av dess beskrivning av en viktigegenskap hos den exakta utbytesenergin, vilket utgörs av diskontinuiteteri dess derivata. Ett mera nyligen uppkommet samt alternativt sätt att kunna förutsägaegenskaper hos atomistiska system utgörs av maskinlärning (ML).Jag presenterar ett antal ML-modeller för att kunna förutsäga formeringsenergierhos fasta material med en noggrannhet som är i linje medresultat som uppnås av beräkningar med hjälp av KS DFT, och med enberäkningseffektivitet som är flera storleksordningar snabbare.