Physical Properties Of Crystals Their Representation By Tensors And Matrices

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Physical Properties of Crystals

Author : J. F. Nye
Publisher : Oxford University Press
ISBN 13 : 9780198511656
Total Pages : 356 pages
Book Rating : 4.5/5 (116 download)

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Book Synopsis Physical Properties of Crystals by : J. F. Nye

Download or read book Physical Properties of Crystals written by J. F. Nye and published by Oxford University Press. This book was released on 1985 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1957, this classic study has been reissued in a paperback version that includes an additional chapter bringing the material up to date. The author formulates the physical properties of crystals systematically in tensor notation, presenting tensor properties in terms of their common mathematical basis and the thermodynamic relations between them. The mathematical groundwork is laid in a discussion of tensors of the first and second ranks. Tensors of higher ranks and matrix methods are then introduced as natural developments of the theory. A similar pattern is followed in discussing thermodynamic and optical aspects.

Physical Properties of Crystals

Author : John Frederick Nye
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (14 download)

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Book Synopsis Physical Properties of Crystals by : John Frederick Nye

Download or read book Physical Properties of Crystals written by John Frederick Nye and published by . This book was released on 2004 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Physical Properties of Crystals

Author : John Frederick Nye
Publisher :
ISBN 13 :
Total Pages : 322 pages
Book Rating : 4.:/5 (12 download)

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Book Synopsis Physical Properties of Crystals by : John Frederick Nye

Download or read book Physical Properties of Crystals written by John Frederick Nye and published by . This book was released on 1967 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Properties of Materials

Author : Robert E. Newnham
Publisher : Oxford University Press on Demand
ISBN 13 : 0198520751
Total Pages : 391 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Properties of Materials by : Robert E. Newnham

Download or read book Properties of Materials written by Robert E. Newnham and published by Oxford University Press on Demand. This book was released on 2005 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tensors, matrices, symmetry, and structure-property relationships form the main subjects of the book. While tensors and matrices provide the mathematical framework for understanding anistropy, on which the physical and chemical properties of crystals and textured materials often depend, atomistic arguments are also needed to qualify the property coefficients in various directions. The atomistic arguments are partly based on symmetry and party on the basic physics and chemistry of materials.

Physical Properties of Crystals

Author : John Frederick Nye
Publisher :
ISBN 13 :
Total Pages : 350 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Physical Properties of Crystals by : John Frederick Nye

Download or read book Physical Properties of Crystals written by John Frederick Nye and published by . This book was released on 1957 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Liquid Crystals

Author : Shri Singh
Publisher : World Scientific
ISBN 13 : 9789810242503
Total Pages : 556 pages
Book Rating : 4.2/5 (425 download)

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Book Synopsis Liquid Crystals by : Shri Singh

Download or read book Liquid Crystals written by Shri Singh and published by World Scientific. This book was released on 2002 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: Liquid crystals are partially ordered systems without a rigid, long-range structure. The study of these materials covers a wide area: chemical structure, physical properties and technical applications. Due to their dual nature -- anisotropic physical properties of solids and rheological behavior of liquids -- and easy response to externally applied electric, magnetic, optical and surface fields liquid crystals are of greatest potential for scientific and technological applications. The subject has come of age and has achieved the status of being a very exciting interdisciplinary field of scientific and industrial research. This book is an outgrowth of the enormous advances made during the last three decades in both our understanding of liquid crystals and our ability to use them in applications. It presents a systematic, self-contained and up-to-date overview of the structure and properties of liquid crystals. It will be of great value to graduates and research workers in condensed matter physics, chemical physics, biology, materials science, chemical and electrical engineering, and technology from a materials science and physics viewpoint of liquid crystals.

Physical Properties of Crystals

Author : Siegfried Haussühl
Publisher : John Wiley & Sons
ISBN 13 : 3527621164
Total Pages : 453 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Physical Properties of Crystals by : Siegfried Haussühl

Download or read book Physical Properties of Crystals written by Siegfried Haussühl and published by John Wiley & Sons. This book was released on 2008-07-11 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern semiconductor and laser techniques would be unthinkable today without a highly developed physics of solids. As tailored materials increasingly gain significance, it is more important than ever to understand the basics of crystalline materials and the influence of their symmetry on phenomenological aspects. This first international edition of a classic German standard integrates the latest developments in the field, including two-dimensional crystals and Giant Magneto-Resistance. Its aim is to impart the knowledge necessary to comprehend the manifold peculiarities of crystalline substances in a comprehensive and easily accessible manner. The book devotes much space to a coherent introduction to tensor calculation, making this the first to address the topic in a readily understandable way. Supplemented by 40 exercises with their solutions, this is an ideal textbook for students of physics and chemistry, solid state physicists and chemists, and materials scientists, but also a comprehensive resource for those who wish to get an overview of this important topic.

Capillary Flows with Forming Interfaces

Author : Yulii D. Shikhmurzaev
Publisher : CRC Press
ISBN 13 : 9781584887492
Total Pages : 480 pages
Book Rating : 4.8/5 (874 download)

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Book Synopsis Capillary Flows with Forming Interfaces by : Yulii D. Shikhmurzaev

Download or read book Capillary Flows with Forming Interfaces written by Yulii D. Shikhmurzaev and published by CRC Press. This book was released on 2007-09-14 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Capillary Flows with Forming Interfaces explores numerous theoretical problems that arise in the mathematical description of capillary flows. It focuses on developing a unified approach to a variety of seemingly very different capillary flows of practical importance where classical fluid mechanics leads to nonphysical results. The book begins with a review of the conceptual framework of fluid mechanics and then proceeds to analyze the roots of singularities, such as the moving contact-line problem and the capillary breakup problem. The author then examines how different singular flows can be described as particular cases of a general physical phenomenon of interface formation. He illustrates the developed mathematical models and experimentally verifies them through a number of example problems relevant to engineering applications. The conceptual framework provided in this reference enables further progress in developing mathematical models of capillary flows. The book also allows readers to make informed strategic choices regarding available numerical codes and the in-house development of these codes.

The Essence of Dielectric Waveguides

Author : C. Yeh
Publisher : Springer Science & Business Media
ISBN 13 : 0387497994
Total Pages : 529 pages
Book Rating : 4.3/5 (874 download)

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Book Synopsis The Essence of Dielectric Waveguides by : C. Yeh

Download or read book The Essence of Dielectric Waveguides written by C. Yeh and published by Springer Science & Business Media. This book was released on 2008-06-17 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Essence of Dielectric Waveguides provides an overview of the fundamental behavior of guided waves, essential to finding and interpreting the results of electromagnetic waveguide problems. Clearly and concisely written as well as brilliantly organized, this volume includes a detailed description of the fundamentals of electromagnetics, as well as a new discussion on boundary conditions and attenuation. It also covers the propagation characteristics of guided waves along classical canonical dielectric structures – planar, circular cylindrical, rectangular and elliptical waveguides. What’s more, the authors have included extensive coverage of inhomogeneous structures and approximate methods, as well as several powerful numerical approaches specifically applicable to dielectric waveguides.

What Are Tensors Exactly?

Author : Hongyu Guo
Publisher : World Scientific
ISBN 13 : 9811241031
Total Pages : 246 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis What Are Tensors Exactly? by : Hongyu Guo

Download or read book What Are Tensors Exactly? written by Hongyu Guo and published by World Scientific. This book was released on 2021-06-16 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tensors have numerous applications in physics and engineering. There is often a fuzzy haze surrounding the concept of tensor that puzzles many students. The old-fashioned definition is difficult to understand because it is not rigorous; the modern definitions are difficult to understand because they are rigorous but at a cost of being more abstract and less intuitive.The goal of this book is to elucidate the concepts in an intuitive way but without loss of rigor, to help students gain deeper understanding. As a result, they will not need to recite those definitions in a parrot-like manner any more. This volume answers common questions and corrects many misconceptions about tensors. A large number of illuminating illustrations helps the reader to understand the concepts more easily.This unique reference text will benefit researchers, professionals, academics, graduate students and undergraduate students.

Sourcebook of Pyroelectricity

Author : Sidney B. Lang
Publisher : CRC Press
ISBN 13 : 9780677015804
Total Pages : 586 pages
Book Rating : 4.0/5 (158 download)

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Book Synopsis Sourcebook of Pyroelectricity by : Sidney B. Lang

Download or read book Sourcebook of Pyroelectricity written by Sidney B. Lang and published by CRC Press. This book was released on 1974 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Symmetry and Magnetism

Author : Robert R. Birss
Publisher : Elsevier Science & Technology
ISBN 13 :
Total Pages : 282 pages
Book Rating : 4.X/5 (1 download)

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Book Synopsis Symmetry and Magnetism by : Robert R. Birss

Download or read book Symmetry and Magnetism written by Robert R. Birss and published by Elsevier Science & Technology. This book was released on 1966 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics and the Physical World

Author : Morris Kline
Publisher : Courier Corporation
ISBN 13 : 0486136310
Total Pages : 514 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Mathematics and the Physical World by : Morris Kline

Download or read book Mathematics and the Physical World written by Morris Kline and published by Courier Corporation. This book was released on 2012-03-15 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stimulating account of development of mathematics from arithmetic, algebra, geometry and trigonometry, to calculus, differential equations, and non-Euclidean geometries. Also describes how math is used in optics, astronomy, and other phenomena.

Applications of Finite Groups

Author : J. S. Lomont
Publisher : Academic Press
ISBN 13 : 1483268969
Total Pages : 358 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Applications of Finite Groups by : J. S. Lomont

Download or read book Applications of Finite Groups written by J. S. Lomont and published by Academic Press. This book was released on 2014-05-12 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applications of Finite Groups focuses on the applications of finite groups to problems of physics, including representation theory, crystals, wave equations, and nuclear and molecular structures. The book first elaborates on matrices, groups, and representations. Topics include abstract properties, applications, matrix groups, key theorem of representation theory, properties of character tables, simply reducible groups, tensors and invariants, and representations generated by functions. The text then examines applications and subgroups and representations, as well as subduced and induced representations, fermion annihilation and creation operators, crystallographic point groups, proportionality tensors in crystals, and nonrelativistic wave equations. The publication takes a look at space group representations and energy bands, symmetric groups, and applications. Topics include molecular and nuclear structures, multiplet splitting in crystalline electric fields, construction of irreducible representations of the symmetric groups, and reality of representations. The manuscript is a dependable source of data for physicists and researchers interested in the applications of finite groups.

Theoretical Physics

Author : Georg Joos
Publisher :
ISBN 13 :
Total Pages : 853 pages
Book Rating : 4.:/5 (5 download)

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Book Synopsis Theoretical Physics by : Georg Joos

Download or read book Theoretical Physics written by Georg Joos and published by . This book was released on 1944 with total page 853 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Symmetry, Group Theory, and the Physical Properties of Crystals

Author : Richard C Powell
Publisher : Springer
ISBN 13 : 1441975985
Total Pages : 230 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Symmetry, Group Theory, and the Physical Properties of Crystals by : Richard C Powell

Download or read book Symmetry, Group Theory, and the Physical Properties of Crystals written by Richard C Powell and published by Springer. This book was released on 2010-12-01 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complete with reference tables and sample problems, this volume serves as a textbook or reference for solid-state physics and chemistry, materials science, and engineering. Chapters illustrate symmetry, and its role in determining solid properties, as well as a demonstration of group theory.

Tensor Numerical Methods in Quantum Chemistry

Author : Venera Khoromskaia
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110391376
Total Pages : 297 pages
Book Rating : 4.1/5 (13 download)

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Book Synopsis Tensor Numerical Methods in Quantum Chemistry by : Venera Khoromskaia

Download or read book Tensor Numerical Methods in Quantum Chemistry written by Venera Khoromskaia and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-06-11 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: The conventional numerical methods when applied to multidimensional problems suffer from the so-called "curse of dimensionality", that cannot be eliminated by using parallel architectures and high performance computing. The novel tensor numerical methods are based on a "smart" rank-structured tensor representation of the multivariate functions and operators discretized on Cartesian grids thus reducing solution of the multidimensional integral-differential equations to 1D calculations. We explain basic tensor formats and algorithms and show how the orthogonal Tucker tensor decomposition originating from chemometrics made a revolution in numerical analysis, relying on rigorous results from approximation theory. Benefits of tensor approach are demonstrated in ab-initio electronic structure calculations. Computation of the 3D convolution integrals for functions with multiple singularities is replaced by a sequence of 1D operations, thus enabling accurate MATLAB calculations on a laptop using 3D uniform tensor grids of the size up to 1015. Fast tensor-based Hartree-Fock solver, incorporating the grid-based low-rank factorization of the two-electron integrals, serves as a prerequisite for economical calculation of the excitation energies of molecules. Tensor approach suggests efficient grid-based numerical treatment of the long-range electrostatic potentials on large 3D finite lattices with defects.The novel range-separated tensor format applies to interaction potentials of multi-particle systems of general type opening the new prospects for tensor methods in scientific computing. This research monograph presenting the modern tensor techniques applied to problems in quantum chemistry may be interesting for a wide audience of students and scientists working in computational chemistry, material science and scientific computing.