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 : 49. 72 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 : 67. 75 MB
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Physical Properties Of Crystals

Author : J. F. Nye
ISBN : OCLC:921192229
Genre :
File Size : 31. 65 MB
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Physical Properties Of Crystals

Author : J. F. Nye
ISBN : LCCN:57002791
Genre : Crystallography
File Size : 74. 46 MB
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Physical Properties Of Crystals

Author : J. F. Nye
ISBN : LCCN:57002791
Genre : Crystallography
File Size : 83. 4 MB
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Physical Properties Of Crystals

Author : J. F. Nye
ISBN : LCCN:57002791
Genre : Crystallography
File Size : 90. 92 MB
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Structure Of Materials

Author : Marc De Graef
ISBN : 9781139560474
Genre : Technology & Engineering
File Size : 76. 63 MB
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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.

Symmetry And Physical Properties Of Crystals

Author : Cécile Malgrange
ISBN : 9789401789936
Genre : Science
File Size : 46. 22 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.

Symmetry Group Theory And The Physical Properties Of Crystals

Author : Richard C Powell
ISBN : 9781441975980
Genre : Science
File Size : 89. 20 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.

Properties Of Materials

Author : Robert E. Newnham
ISBN : 9780198520757
Genre : Science
File Size : 33. 80 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.

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