Crystal Symmetries

Crystal Symmetries PDF Author: B. K. Vainshtein
Publisher: Elsevier
ISBN: 1483299104
Category : Science
Languages : en
Pages : 330

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Book Description
Crystal Symmetries is a timely account of the progress in the most diverse fields of crystallography. It presents a broad overview of the theory of symmetry and contains state of the art reports of its modern directions and applications to crystal physics and crystal properties. Geometry takes a special place in this treatise. Structural aspects of phase transitions, correlation of structure and properties, polytypism, modulated structures, and other topics are discussed. Applications of important techniques, such as X-ray crystallography, biophysical studies, EPR spectroscopy, crystal optics, and nuclear solid state physics, are represented. Contains 30 research and review papers.

Crystal Symmetries

Crystal Symmetries PDF Author: B. K. Vainshtein
Publisher: Elsevier
ISBN: 1483299104
Category : Science
Languages : en
Pages : 330

Get Book Here

Book Description
Crystal Symmetries is a timely account of the progress in the most diverse fields of crystallography. It presents a broad overview of the theory of symmetry and contains state of the art reports of its modern directions and applications to crystal physics and crystal properties. Geometry takes a special place in this treatise. Structural aspects of phase transitions, correlation of structure and properties, polytypism, modulated structures, and other topics are discussed. Applications of important techniques, such as X-ray crystallography, biophysical studies, EPR spectroscopy, crystal optics, and nuclear solid state physics, are represented. Contains 30 research and review papers.

Symmetry and Physical Properties of Crystals

Symmetry and Physical Properties of Crystals PDF Author: Cécile Malgrange
Publisher: Springer
ISBN: 9401789932
Category : Science
Languages : en
Pages : 536

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Book Description
Crystals are everywhere, from natural crystals (minerals) through the semiconductors and magnetic materials in electronic devices and computers or piezoelectric resonators at the heart of our quartz watches to electro-optical devices. Understanding them in depth is essential both for pure research and for their applications. This book provides a clear, thorough presentation of their symmetry, both at the microscopic space-group level and the macroscopic point-group level. The implications of the symmetry of crystals for their physical properties are then presented, together with their mathematical description in terms of tensors. The conditions on the symmetry of a crystal for a given property to exist then become clear, as does the symmetry of the property. The geometrical representation of tensor quantities or properties is presented, and its use in determining important relationships emphasized. An original feature of this book is that most chapters include exercises with complete solutions. This allows readers to test and improve their understanding of the material. The intended readership includes undergraduate and graduate students in materials science and materials-related aspects of electrical and optical engineering; researchers involved in the investigation of the physical properties of crystals and the design of applications based on crystal properties such as piezoelectricity, electro-optics, optical activity and all those involved in the characterization of the structural properties of materials.

Crystal Structures

Crystal Structures PDF Author: Michael O'Keeffe
Publisher: Courier Dover Publications
ISBN: 0486836541
Category : Science
Languages : en
Pages : 481

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Book Description
This classic text is devoted to describing crystal structures, especially periodic structures, and their symmetries. Updated material prepared by author enhances presentation, which can serve as text or reference. 1996 edition.

Symmetry, Group Theory, and the Physical Properties of Crystals

Symmetry, Group Theory, and the Physical Properties of Crystals PDF Author: Richard C Powell
Publisher: Springer
ISBN: 1441975985
Category : Science
Languages : en
Pages : 238

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Book Description
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.

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 PDF Author: Baldassare Di Bartolo
Publisher: World Scientific
ISBN: 9814579238
Category : Science
Languages : en
Pages : 534

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Book Description
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.

Symmetry and Group theory in Chemistry

Symmetry and Group theory in Chemistry PDF Author: M Ladd
Publisher: Elsevier
ISBN: 0857099779
Category : Mathematics
Languages : en
Pages : 424

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Book Description
A comprehensive discussion of group theory in the context of molecular and crystal symmetry, this book covers both point-group and space-group symmetries. - Provides a comprehensive discussion of group theory in the context of molecular and crystal symmetry - Covers both point-group and space-group symmetries - Includes tutorial solutions

Symmetry Relationships Between Crystal Structures

Symmetry Relationships Between Crystal Structures PDF Author: Ulrich Müller
Publisher: Academic
ISBN: 0199669953
Category : Science
Languages : en
Pages : 349

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Book Description
The book presents the basic information needed to understand and to organize the huge amount of known structures of crystalline solids. Its basis is crystallographic group theory (space group theory), with special emphasis on the relations between the symmetry properties of crystals.

Piezoelectric and Acoustic Materials for Transducer Applications

Piezoelectric and Acoustic Materials for Transducer Applications PDF Author: Ahmad Safari
Publisher: Springer Science & Business Media
ISBN: 0387765409
Category : Technology & Engineering
Languages : en
Pages : 483

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Book Description
The book discusses the underlying physical principles of piezoelectric materials, important properties of ferroelectric/piezoelectric materials used in today’s transducer technology, and the principles used in transducer design. It provides examples of a wide range of applications of such materials along with the appertaining rationales. With contributions from distinguished researchers, this is a comprehensive reference on all the pertinent aspects of piezoelectric materials.

Symmetry in Bonding and Spectra

Symmetry in Bonding and Spectra PDF Author: Bodie E. Douglas
Publisher: Academic Press
ISBN: 0323139310
Category : Science
Languages : en
Pages : 469

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Book Description
Many courses dealing with the material in this text are called "Applications of Group Theory." Emphasizing the central role and primary importance of symmetry in the applications, Symmetry in Bonding and Spectra enables students to handle applications, particularly applications to chemical bonding and spectroscopy. It contains the essential background in vectors and matrices for the applications, along with concise reviews of simple molecular orbital theory, ligand field theory, and treatments of molecular shapes, as well as some quantum mechanics. Solved examples in the text illustrate theory and applications or introduce special points. Extensive problem sets cover the important methods and applications, with the answers in the appendix.

Structure of Materials

Structure of Materials PDF Author: Marc De Graef
Publisher: Cambridge University Press
ISBN: 1139560476
Category : Technology & Engineering
Languages : en
Pages : 773

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Book Description
This highly readable, popular textbook for upper undergraduates and graduates comprehensively covers the fundamentals of crystallography and symmetry, applying these concepts to a large range of materials. New to this edition are more streamlined coverage of crystallography, additional coverage of magnetic point group symmetry and updated material on extraterrestrial minerals and rocks. New exercises at the end of chapters, plus over 500 additional exercises available online, allow students to check their understanding of key concepts and put into practice what they have learnt. Over 400 illustrations within the text help students visualise crystal structures and more abstract mathematical objects, supporting more difficult topics like point group symmetries. Historical and biographical sections add colour and interest by giving an insight into those who have contributed significantly to the field. Supplementary online material includes password-protected solutions, over 100 crystal structure data files, and Powerpoints of figures from the book.