Vibrational Properties of Solids

Vibrational Properties of Solids

Author: Gideon Gilat

Publisher: Elsevier

Published: 2012-12-02

Total Pages: 445

ISBN-13: 032315008X

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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.


Phonon Physics

Phonon Physics

Author: George K. Horton

Publisher: North-Holland

Published: 1995

Total Pages: 552

ISBN-13: 9780444822628

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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.


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

Published: 2022-08-11

Total Pages: 505

ISBN-13: 1800612591

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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.


The Crystal Lattice

The Crystal Lattice

Author: Arnold M. Kosevich

Publisher: John Wiley & Sons

Published: 2006-05-12

Total Pages: 356

ISBN-13: 3527606939

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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.


Impurity Spectra of Solids

Impurity Spectra of Solids

Author: K. K. Rebane

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 259

ISBN-13: 1468417762

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It is very rewarding for an author to know that his book is to be translated into another language and become available to a new circle of readers. The study of the optics and spectroscopy of activated crys stals has continued to grow. The development and first remarkable successes of light scattering by impurities in crystals have occurred in the comparatively short time since my original book was sent to press. After experimental observation of the sidebands (wings) in impurity infrared absorption spectra, interest in these spectra as a source of information on the vibrations of a crystal in the neigh borhood of an impurity has increased significantly. Therefore, in addition to making minor corrections, r have supplemented the section on the effect of anharmonicity (section25) and written two new sections and another Appendix on infrared ab sorption, scattering of light by an impurity center in a crystal, and the adiabatic approximation, respectively. The bibliography has received several dozen new entries, but it nevertheless does not pretend to be complete. r hope that the American edition is useful and in some de gree corresponds to the general deepening of our physical under standing of solids.


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

Published: 2014-05-21

Total Pages: 534

ISBN-13: 9814579238

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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: Anthony Mark Fox

Publisher: Oxford University Press, USA

Published: 2001

Total Pages: 324

ISBN-13: 9780198506126

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This book gives an introduction to the optical properties of solids, including many new topics that have not been previously covered in other solid state texts at this level. The fundamental principles of absorption, reflection, luminescence and light scattering are discussed for a wide range of materials, including crystalline insulators and semiconductors, glasses, metals, and molecular materials. Classical and quantum models are used where appropriate along with recent experimental data. Examples include semiconductor quantum wells, organic semiconductors, vibronic solid state lasers, and nonlinear optics.


Handbook of Elastic Properties of Solids, Liquids, and Gases, Four-Volume Set

Handbook of Elastic Properties of Solids, Liquids, and Gases, Four-Volume Set

Author: Moises Levy

Publisher: Academic Press

Published: 2000-10-23

Total Pages: 2513

ISBN-13: 0080924255

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Sound waves propagate through galactic space, through two-dimensional solids, through biological systems, through normal and dense stars, and through everything that surrounds us; the earth, the sea, and the air. We use sound to locate objects, to identify objects, to understand processes going on in nature, to communicate, and to entertain. The elastic properties of materials determine the velocity of sound in them and tell us about their response to stresses something which is very important when we are trying to construct, manufacture, or create something with any material. The Handbook of Elastic Properties of Materials will provide these characteristics for almost everything whose elastic properties has ever been measured or deduced in a concise and approachable manner. Leading experts will explain the significance of the elastic properties as they relate to intrinsic microscopic behavior, to manufacturing, to construction, or to diagnosis. They will discuss the propagation of sound in newly discovered or created materials, and in common materials which are being investigated with a fresh outlook. The Handbook will provide the reader with the elastic properties of the common and mundane, the novel and unique, the immense and the microscopic, and the exhorbitantly dense and the ephemeral.. You will also find the measurement. And theoretical techniques that have been developed and invented in order to extract these properties from a reluctant nature and recalcitrant systems. Key Features * Solids, liquids and gases covered in one handbook * Articles by experts describing insights developed over long and Illustrious careers * Properties of esoteric substances, such as normal and dense stars, superfluid helium three, fullerness, two dimensional solids, extraterrestial substances, gems and planetary atmospheres * Properties of common materials such as food, wood used for musical instruments, paper, cement, and cork * Modern dynamic elastic properties measurement techniques


Vibrational Spectroscopy of Solids

Vibrational Spectroscopy of Solids

Author: Peter Miles Anson Sherwood

Publisher: CUP Archive

Published: 1972-09-21

Total Pages: 276

ISBN-13: 9780521084826

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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.


Optical Properties of Solids

Optical Properties of Solids

Author: Frederick Wooten

Publisher: Academic Press

Published: 2013-10-22

Total Pages: 273

ISBN-13: 1483220761

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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.