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Author: Arthur S. Nowick
Publisher: Cambridge University Press
ISBN: 9780521419451
Category : Science
Languages : en
Pages : 246
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Book Description
This book deals with the effect of crystal symmetry in determining the tensor properties of crystals. Although this is a well-established subject, the author provides a new approach using group theory and, in particular, the method of symmetry coordinates, which has not been used in any previous book. The author presents applications to technologically important phenomena as diverse as the electro-optic, piezoelectric, photoelastic, piezomagnetic, and piezoresistance effects, as well as magnetothermoelectric power and third-order elastic constants. He also gives attention to "special magnetic properties", i.e., those that require the concepts of time reversal and magnetic symmetry--an important subject not always covered in other books in this area. This book will be of interest to researchers in solid state physics and materials science, and will also be suitable as a text for graduate students in physics and engineering taking courses in solid state physics.
Author: Arthur S. Nowick
Publisher: Cambridge University Press
ISBN: 052141945X
Category : Mathematics
Languages : en
Pages : 246
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Book Description
This book deals with the effect of crystal symmetry in determining the tensor properties of crystals. Although this is a well-established subject, the author provides a new approach using group theory and, in particular, the method of symmetry coordinates, which has not been used in any previous book. Using this approach, all tensors of a given rank and type can be handled together, even when they involve very different physical phenomena. Applications to technologically important phenomena as diverse as the electro-optic, piezoelectric, photoelastic, piezomagnetic, and piezoresistance effects, as well as magnetothermoelectric power and third-order elastic constants, are presented. Attention is also given to 'special magnetic properties', that is those that require the concepts of time reversal and magnetic symmetry, an important subject not always covered in other books in this area. This book will be of interest to researchers in solid-state physics and materials science, and will also be suitable as a text for graduate students in physics and engineering taking courses in solid-state physics.
Author: Richard C. Powell
Publisher:
ISBN: 9781441975997
Category :
Languages : en
Pages : 240
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Book Description
Author: J. L. Birman
Publisher: Springer Science & Business Media
ISBN: 3642697070
Category : Science
Languages : en
Pages : 558
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Book Description
Reissue of Encyclopedia of Physics/Handbuch der Physik, Vol. XXV/2b I am very pleased that my book is now to be reprinted and rebound in a new format which should make it accessible at a modest price to students and active researchers in condensed matter physics. In writing this book I had in mind an audience of physicists and chemists with no previous deep exposure to symmetry analysis of crystalline matter, non to the use of symmetry in simplifying and refining predictions of the results of optical experiments. Hence the book was written to explain and illustrate in all necessary detail how to: 1) describe the space group symmetry in terms of space group symmetry operations; 2) obtain irreducible representations and selection rules for optical infra-red and Raman and other transition processes. On the physical side I redeveloped the traditional theory of classical and quantum lattice dynamics, illustrating how space-time symmetry designations in the equations of motion can: 1) simplify and rationalize calculations of the classical eigenvectors of the dynamical equation; 2) permit classification of the eigenstates of the quantum lattice-dynamic pro blem; 3) give specific selection rules for optical infra-red and Raman lattice processes, and thus make "go, no-go" predictions including polarization of absorbed or scattered radiation; and 4) simplify the modern many-body theories of optical processes.
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.
Author: Roy McWeeny
Publisher: Courier Corporation
ISBN: 0486138801
Category : Science
Languages : en
Pages : 276
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Book Description
Well-organized volume develops ideas of group and representation theory in progressive fashion. Emphasis on finite groups describing symmetry of regular polyhedra and of repeating patterns, plus geometric illustrations.
Author: Teturo Inui
Publisher: Springer Science & Business Media
ISBN: 3642800211
Category : Science
Languages : en
Pages : 409
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Book Description
This book has been written to introduce readers to group theory and its ap plications in atomic physics, molecular physics, and solid-state physics. The first Japanese edition was published in 1976. The present English edi tion has been translated by the authors from the revised and enlarged edition of 1980. In translation, slight modifications have been made in. Chaps. 8 and 14 to update and condense the contents, together with some minor additions and improvements throughout the volume. The authors cordially thank Professor J. L. Birman and Professor M. Car dona, who encouraged them to prepare the English translation. Tokyo, January 1990 T. Inui . Y. Tanabe Y. Onodera Preface to the Japanese Edition As the title shows, this book has been prepared as a textbook to introduce readers to the applications of group theory in several fields of physics. Group theory is, in a nutshell, the mathematics of symmetry. It has three main areas of application in modern physics. The first originates from early studies of crystal morphology and constitutes a framework for classical crystal physics. The analysis of the symmetry of tensors representing macroscopic physical properties (such as elastic constants) belongs to this category. The sec ond area was enunciated by E. Wigner (1926) as a powerful means of handling quantum-mechanical problems and was first applied in this sense to the analysis of atomic spectra. Soon, H.
Author: William Alfred Wooster
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 364
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Book Description
Author: Shoon K. Kim
Publisher: Cambridge University Press
ISBN: 0521640628
Category : Mathematics
Languages : en
Pages : 512
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Book Description
From the pioneering author in the field, this book is ideal for condensed matter physicists and physical chemists.
Author: Ulrich Müller
Publisher: OUP Oxford
ISBN: 0191648809
Category : Science
Languages : en
Pages : 495
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Book Description
In crystal chemistry and crystal physics, the relations between the symmetry groups (space groups) of crystalline solids are of special importance. Part 1 of this book presents the necessary mathematical foundations and tools: the fundamentals of crystallography with special emphasis on symmetry, the theory of the crystallographic groups, and the formalisms of the needed crystallographic computations. Part 2 gives an insight into applications to problems in crystal chemistry. With the aid of numerous examples, it is shown how crystallographic group theory can be used to make evident relationships between crystal structures, to set up a systematic order in the huge amount of known crystal structures, to predict crystal structures, to analyse phase transitions and topotactic reactions in the solid state, to understand the formation of domains and twins in crystals, and to avoid errors in crystal structure determinations. A broad range of end-of-chapter exercises offers the possibility to apply the learned material. Worked-out solutions to the exercises can be found at the end of the book.
Author: Patrick W. M. Jacobs
Publisher: Cambridge University Press
ISBN: 9780521642507
Category : Mathematics
Languages : en
Pages : 520
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Book Description
This book provides a rigorous account on the fundamentals and applications of Group Theory to chemical physics.
