Interatomic bonding in solids : fundamentals, simulation, applications / Valim Levitin.

Format:

Book

Author/Creator:

Levitin, Valim.

Language:

English

Subjects (All):

Chemical bonds.

Density functionals--Computer simulation.

Density functionals.

Materials science--Computer simulation.

Materials science.

Physical Description:

1 online resource (322 p.)

Edition:

1st ed.

Place of Publication:

Weinheim an der Bergstrasse, Germany : Wiley-VCH, 2014.

Language Note:

English

Summary:

The connection between a quantum behavior of the structure elements of a substance and the parameters that determine the macroscopic behavior of materials has a major influence on the properties exhibited by different solids. Although quantum theory and engineering should complement each other, this is not always the case. This book aims to demonstrate how the properties of materials can be derived and predicted proceeding from the features of their structural elements, generally electrons. In a sense, electronic structure forms the glue holding solids as whole, and it is centr

Contents:

Cover; Title Page; Contents; Preface; 1 Introduction; 2 From Classical Bodies to Microscopic Particles; 2.1 Concepts of Quantum Physics; 2.2 Wave Motion; 2.3 Wave Function; 2.4 The Schrödinger Wave Equation; 2.5 An Electron in a Square Well: One-Dimensional Case; 2.6 Electron in a Potential Rectangular Box: k-Space; 3 Electrons in Atoms; 3.1 Atomic Units; 3.2 One-Electron Atom: Quantum Numbers; 3.3 Multi-Electron Atoms; 3.4 The Hartree Theory; 3.5 Results of the Hartree Theory; 3.6 The Hartree-Fock Approximation; 3.7 Multi-Electron Atoms in the Mendeleev Periodic Table; 3.8 Diatomic Molecules

4 The Crystal Lattice4.1 Close-Packed Structures; 4.2 Some Examples of Crystal Structures; 4.3 The Wigner-Seitz Cell; 4.4 Reciprocal Lattice; 4.5 The Brillouin Zone; 5 Homogeneous Electron Gas and Simple Metals; 5.1 Gas of Free Electrons; 5.2 Parameters of the Free-Electron Gas; 5.3 Notions Related to the Electron Gas; 5.4 Bulk Modulus; 5.5 Energy of Electrons; 5.6 Exchange Energy and Correlation Energy; 5.7 Low-Density Electron Gas: Wigner Lattice; 5.8 Near-Free Electron Approximation: Pseudopotentials; 5.9 Cohesive Energy of Simple Metals

6 Electrons in Crystals and the Bloch Waves in Crystals6.1 The Bloch Waves; 6.2 The One-Dimensional Kronig-Penney Model; 6.3 Band Theory; 6.4 General Band Structure: Energy Gaps; 6.5 Conductors, Semiconductors, and Insulators; 6.6 Classes of Solids; 7 Criteria of Strength of Interatomic Bonding; 7.1 Elastic Constants; 7.2 Volume and Pressure as Fundamental Variables: Bulk Modulus; 7.3 Amplitude of Lattice Vibration; 7.4 The Debye Temperature; 7.5 Melting Temperature; 7.6 Cohesive Energy; 7.7 Energy of Vacancy Formation and Surface Energy; 7.8 The Stress-Strain Properties in Engineering

8 Simulation of Solids Starting from the First Principles ("ab initio" Models)8.1 Many-Body Problem: Fundamentals; 8.2 Milestones in Solution of the Many-Body Problem; 8.3 More of the Hartree and Hartree-Fock Approximations; 8.4 Density Functional Theory; 8.5 The Kohn-Sham Auxiliary System of Equations; 8.6 Exchange-Correlation Functional; 8.7 Plane Wave Pseudopotential Method; 8.8 Iterative Minimization Technique for Total Energy Calculations; 8.9 Linearized Augmented PlaneWave Method; 9 First-Principle Simulation in Materials Science; 9.1 Strength Characteristics of Solids

9.2 Energy of Vacancy Formation9.3 Density of States; 9.4 Properties of Intermetallic Compounds; 9.5 Structure, Electron Bands, and Superconductivity of MgB2; 9.6 Embrittlement of Metals by Trace Impurities; 10 Ab initio Simulation of the Ni3Al-based Solid Solutions; 10.1 Phases in Superalloys; 10.2 Mean-Square Amplitudes of Atomic Vibrations in γ'-based Phases; 10.3 Simulation of the Intermetallic Phases; 10.4 Electron Density; 11 The Tight-Binding Model and Embedded-Atom Potentials; 11.1 The Tight-Binding Approximation; 11.2 The Procedure of Calculations

11.3 Applications of the Tight-Binding Method

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (ebrary, viewed December 17, 2013).

ISBN:

9783527671557

3527671552

9783527671588

3527671587

9783527671571

3527671579

OCLC:

872649140