Vibrational Properties of Solids

Vibrational Properties of Solids
Author: Gideon Gilat
Publisher: Elsevier
Total Pages: 445
Release: 2012-12-02
Genre: Science
ISBN: 032315008X

Methods in Computational Physics, Volume 15: Vibrational Properties of Solids explores the application of computational methods to delineate microscopic vibrational behavior. This book is composed of nine chapters that further illustrate the utility of these methods to ordered lattices, quantum solids, impurity modes, surface modes, and amorphous solids. The opening chapters present the basic theoretical models and their computational aspects for different solids of diverse chemical nature, together with some methods of automation and computation in the highly sophisticated experiments in inelastic scattering of neutrons. These topics are followed by a discussion on how group theoretical methods treated by computers can yield the proper symmetry assignments of phonon eigenvalues and eigenstates. Considerable chapters are devoted to the different applications of traditional lattice dynamics, each having its own computational ramification. Other chapters survey the properties of solids that mostly involve integrations over the Brillouin zone. The last chapter concerns the dynamic or time-dependent aspect of lattice dynamics, namely, the calculation of thermal and electric conductivities in some models of solids. This book is of great benefit to geoscientists, physicists, and mathematicians.

Low-temperature Thermal And Vibrational Properties Of Disordered Solids: A Half-century Of Universal "Anomalies" Of Glasses

Low-temperature Thermal And Vibrational Properties Of Disordered Solids: A Half-century Of Universal
Author: Miguel A Ramos
Publisher: World Scientific
Total Pages: 505
Release: 2022-08-11
Genre: Science
ISBN: 1800612591

This book, edited by M. A. Ramos and contributed by several reputed physicists in the field, presents a timely review on low-temperature thermal and vibrational properties of glasses, and of disordered solids in general. In 1971, the seminal work of Zeller and Pohl was published, which triggered this relevant research field in condensed matter physics. Hence, this book also commemorates about 50 years of that highlight with a comprehensive, updated review.In brief, glasses (firstly genuine amorphous solids but later on followed by different disordered crystals) were found to universally exhibit low-temperature properties (specific heat, thermal conductivity, acoustic and dielectric attenuation, etc.) unexpectedly very similar among them — and very different from those of their crystalline counterparts.These universal 'anomalies' of glasses and other disordered solids remain very controversial topics in condensed matter physics. They have been addressed exhaustively in this book, through many updated experimental data, a survey of most relevant models and theories, as well as by computational simulations.

Phonon Physics

Phonon Physics
Author: George K. Horton
Publisher: North-Holland
Total Pages: 552
Release: 1995
Genre: Lattice dynamics
ISBN: 9780444822628

The first two volumes in this series published twenty years ago contained chapters devoted to anharmonic properties of solids, ab initio calculations of phonons in metals and insulators, and surface phonons. In the intervening years each of these important areas of lattice dynamics has undergone significant developments. This volume is therefore concerned with reviewing the current status of these areas.Chapter one deals with the path-integral quantum Monte-Carlo method as a numerical simulation approach and looks at how this has been applied successfully to the determination of low temperature thermodynamic properties of anharmonic crystals and to certain dynamical properties as well. Chapter two is concerned with the calculation of static and dynamic properties of anharmonic crystals in the quantum regime. Chapter three discusses intrinsic anharmonic localized modes that have been intensively studied recently. Two topics, ab initio calculations of phonons in metals, and surface phonons are dealt with in the next chapter. The remaining two chapters are devoted to topics that have not been treated in previous volumes. One is phonon transport and the second is phonons in disordered crystals.The work described in the six chapters of this volume testifies to the continuing vitality of the field of dynamical properties of solids nearly a century after its founding.

The Crystal Lattice

The Crystal Lattice
Author: Arnold M. Kosevich
Publisher: John Wiley & Sons
Total Pages: 356
Release: 2006-05-12
Genre: Science
ISBN: 3527606939

The aim of this successful book is to describe and analyse peculiarities of classical and quantum dynamics of a crystal as a spatially periodic structure. In the second revised and updated edition, the author focuses on low-dimensional models of crystals and on superlattices. Both traditional questions like the spectrum of vibrations, the idea of phonon gas, dislocations etc. and new aspects like the theory of quantum crystals, solitons in 1D crystals, dislocation theory of melting of 2D crystals etc. are discussed. The author gives an explanation of a set of phenomena which entered into solid state physics during the last decades. It is shown that the crystal properties are sensitive to the dimension of the crystal and its defect structure, and depend slightly on whether the periodic structure consists of atoms, or electrical dipoles, or magnetic moments (spins). Considerable attention is devoted to the dislocation mechanisms as a basis of the theory of plasticity and numerous technological applications of crystalline materials.

Crystal Symmetry, Lattice Vibrations, And Optical Spectroscopy Of Solids: A Group Theoretical Approach

Crystal Symmetry, Lattice Vibrations, And Optical Spectroscopy Of Solids: A Group Theoretical Approach
Author: Baldassare Di Bartolo
Publisher: World Scientific
Total Pages: 534
Release: 2014-05-21
Genre: Science
ISBN: 9814579238

This book provides a comprehensive treatment of the two fundamental aspects of a solid that determine its physical properties: lattice structure and atomic vibrations (phonons). The elements of group theory are extensively developed and used as a tool to show how the symmetry of a solid and the vibrations of the atoms in the solid lead to the physical properties of the material. The uses of different types of spectroscopy techniques that elucidate the lattice structure of a solid and the normal vibrational modes of the atoms in the solid are described. The interaction of light with solids (optical spectroscopy) is described in detail including how lattice symmetry and phonons affect the spectral properties and how spectral properties provide information about the material's symmetry and normal modes of lattice vibrations. The effects of point defects (doping) on the lattice symmetry and atomic vibrations and thus the spectral properties are discussed and used to show how material symmetry and lattice vibrations are critical in determining the properties of solid state lasers.

Optical Properties of Solids

Optical Properties of Solids
Author: Frederick Wooten
Publisher: Academic Press
Total Pages: 273
Release: 2013-10-22
Genre: Science
ISBN: 1483220761

Optical Properties of Solids covers the important concepts of intrinsic optical properties and photoelectric emission. The book starts by providing an introduction to the fundamental optical spectra of solids. The text then discusses Maxwell's equations and the dielectric function; absorption and dispersion; and the theory of free-electron metals. The quantum mechanical theory of direct and indirect transitions between bands; the applications of dispersion relations; and the derivation of an expression for the dielectric function in the self-consistent field approximation are also encompassed. The book further tackles current-current correlations; the fluctuation-dissipation theorem; and the effect of surface plasmons on optical properties and photoemission. People involved in the study of the optical properties of solids will find the book invaluable.

Vibrational Spectroscopy of Solids

Vibrational Spectroscopy of Solids
Author: Peter Miles Anson Sherwood
Publisher: CUP Archive
Total Pages: 276
Release: 1972-09-21
Genre: Science
ISBN: 9780521084826

This 1972 monograph is devoted to the analysis and interpretation of the infrared and Raman spectra of solid compounds, frequently used for their identification and characterization. It was thought unsatisfactory to analyse such spectra by the theory applicable to gas-phase samples, though this was frequently done. Furthermore, the results obtained by far infrared and laser Raman spectrometers, which detect the movement of atoms and/or molecules as a whole, had no gas-phase analogy. A separate approach to solid state vibrational spectra was therefore proposed within this volume. Dr Sherwood describes the solid state physics of vibrational spectroscopy and extends it to the more complex structures of low symmetry. He assumes an understanding of the infrared and Raman spectra of gases.

Electronic Structure and the Properties of Solids

Electronic Structure and the Properties of Solids
Author: Walter A. Harrison
Publisher: Courier Corporation
Total Pages: 610
Release: 2012-03-08
Genre: Science
ISBN: 0486141780

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.

Amorphous Solids

Amorphous Solids
Author: William A. Phillips
Publisher: Springer Science & Business Media
Total Pages: 179
Release: 2012-12-06
Genre: Science
ISBN: 3642815340

It is now ten years since it was first convincingly shown that below 1 K the ther mal conductivity and the heat capacity of amorphous solids behave in a way which is strikingly different to that of crystalline solids. Since that time there has been a wide variety of experimental and theoretical studies which have not only defined and clarified the low temperature problem more closely, but have also linked these differences between amorphous and crystalline solids to those suggested by older acoustic and thermal experiments (extending up to 100 K). The interest in this somewhat restricted branch of physics lies to a considerable extent in the fact that the differences were so unexpected. It might be thought that as the tempera ture, probing frequency, or more generally the energy decreases, a continuum de scription in which structural differences between glass and crystal are concealed should become more accurate. In a sense this is true, but it appears that there exists in an amorphous solid a large density of additional excitations which have no counterpart in normal crystals. This book presents a survey of the wide range of experimental investigations of these low energy excitations, together with a re view of the various theoretical models put forward to explain their existence and nature.

Metal Oxide Nanoparticles, 2 Volume Set

Metal Oxide Nanoparticles, 2 Volume Set
Author: Oliver Diwald
Publisher: John Wiley & Sons
Total Pages: 903
Release: 2021-09-14
Genre: Technology & Engineering
ISBN: 1119436745

Metal Oxide Nanoparticles A complete nanoparticle resource for chemists and industry professionals Metal oxide nanoparticles are integral to a wide range of natural and technological processes—from mineral transformation to electronics. Additionally, the fields of engineering, electronics, energy technology, and electronics all utilize metal oxide nanoparticle powders. Metal Oxide Nanoparticles: Formation, Functional Properties, and Interfaces presents readers with the most relevant synthesis and formulation approaches for using metal oxide nanoparticles as functional materials. It covers common processing routes and the assessment of physical and chemical particle properties through comprehensive and complementary characterization methods. This book will serve as an introduction to nanoparticle formulation, their interface chemistry and functional properties at the nanoscale. It will also act as an in-depth resource, sharing detailed information on advanced approaches to the physical, chemical, surface, and interface characterization of metal oxide nanoparticle powders and dispersions. Addresses the application of metal oxide nanoparticles and its economic impact Examines particle synthesis, including the principles of selected bottom-up strategies Explores nanoparticle formulation—a selection of processing and application routes Discusses the significance of particle surfaces and interfaces on structure formation, stability and functional materials properties Covers metal oxide nanoparticle characterization at different length scales With this valuable resource, academic researchers, industrial chemists, and PhD students can all gain insight into the synthesis, properties, and applications of metal oxide nanoparticles.