physical properties of crystals their representation by tensors and matrices

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Physical Properties Of Crystals

Author : J. F. Nye
ISBN : 0198511655
Genre : Mathematics
File Size : 20. 13 MB
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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 : J. F. Nye
ISBN : OCLC:49348621
Genre : Calculus of tensors
File Size : 88. 9 MB
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Physical Properties Of Crystals

Author : J. F. Nye
ISBN : LCCN:57002791
Genre : Crystallography
File Size : 46. 6 MB
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Properties Of Materials

Author : Robert E. Newnham
ISBN : 9780198520757
Genre : Science
File Size : 32. 88 MB
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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 : J. F. Nye
ISBN : LCCN:57002791
Genre : Crystallography
File Size : 76. 64 MB
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Symmetry And Physical Properties Of Crystals

Author : Cécile Malgrange
ISBN : 9789401789936
Genre : Science
File Size : 20. 25 MB
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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.

Physical Properties Of Crystals

Author : J. F. Nye
ISBN : OCLC:258098637
Genre : Calculus of tensors
File Size : 26. 12 MB
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Crystal Chemistry

Author : Gérard Ferey
ISBN : 9789813144217
Genre :
File Size : 83. 79 MB
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Devoted to a diverse group of solid state scientists, the book has two objectives, both relating to structural chemistry: (i) a progressive analytic familiarization with the main parameters that govern the organization of crystallized matter and related crystal structures, (ii) a study of what are the various ways to 'read' a structure far beyond its representation in scientific articles. Hence, the reader will, from numerous examples illustrated in color, analyze what are the main characteristics of these structures, from their geometric characteristics, their coordination polyhedra, their connections with the resulting dimensionalities of these solids, including also the defects they exhibit, before looking at possibilities to classify structures, within which recurrence laws can emerge. Chemists are required to understand the potentials of a new structure for becoming future materials scientists. The first part of the book is by no means a database for known structures, but facilitates a progressive understanding of the organization of the solid state. With these tools in hand, the reader is invited in the later part of the book to analyze new structures, and to also use new concepts for viewing structures in a more synthetic way for the future. Such new vision is already leading to the creation of completely new solids with outstanding characteristics that find applications in societal problems concerning energy, energy savings, environment and health. The content is not exclusively academic but relates to the creation of innovative materials, through a more physical approach, that might condition the future of materials.

Symmetry Group Theory And The Physical Properties Of Crystals

Author : Richard C Powell
ISBN : 9781441975980
Genre : Science
File Size : 28. 12 MB
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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.

The Basics Of Crystallography And Diffraction

Author : Christopher Hammond
ISBN : 9780191567711
Genre : Science
File Size : 73. 85 MB
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This book provides a clear introduction to topics which are essential to students in a wide range of scientific disciplines but which are otherwise only covered in specialised and mathematically detailed texts. It shows how crystal structures may be built up from simple ideas of atomic packing and co-ordination, it develops the concepts of crystal symmetry, point and space groups by way of two dimensional examples of patterns and tilings, it explains the concept of the reciprocal lattice in simple terms and shows its importance in an understanding of light, X-ray and electron diffraction. Practical examples of the applications of these techniques are described and also the importance of diffraction in the performance of optical instruments. The book is also of value to the general reader since it shows, by biographical and historical references, how the subject has developed and thereby indicates some of the excitement of scientific discovery.

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