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Author : Marcus Frederick Charles Ladd
Publisher : Unknown
Page : 284 pages
File Size : 52,5 Mb
Release : 1989
Category : Science
ISBN : MINN:319510009787311
Author : Marcus Frederick Charles Ladd
Publisher : Oxford University Press, USA
Page : 457 pages
File Size : 49,8 Mb
Release : 2014
Category : Science
ISBN : 9780199670888
An eminently readable book on the symmetry of crystals and molecules, starting from first principles
Author : Cécile Malgrange,Christian Ricolleau,Michel Schlenker
Publisher : Springer
Page : 536 pages
File Size : 49,7 Mb
Release : 2014-12-04
Category : Science
ISBN : 9789401789936
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.
Author : Robert A. Evarestov,Vyacheslav P. Smirnov
Publisher : Springer Science & Business Media
Page : 292 pages
File Size : 53,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642604881
Site Symmetry in Crystals is the first comprehensive account of the group-theoretical aspects of the site (local) symmetry approach to the study of crystalline solids. The efficiency of this approach, which is based on the concepts of simple induced and band representations of space groups, is demonstrated by considering newly developed applications to electron surface states, point defects, symmetry analysis in lattice dynamics, the theory of second-order phase transitions, and magnetically ordered and non-rigid crystals. Tables of simple induced respresentations are given for the 24 most common space groups, allowing the rapid analysis of electron and phonon states in complex crystals with many atoms in the unit cell.
Author : Michael O'Keeffe,Bruce G. Hyde
Publisher : Courier Dover Publications
Page : 481 pages
File Size : 55,8 Mb
Release : 2020-04-15
Category : Science
ISBN : 9780486836546
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.
Author : Richard C Powell
Publisher : Springer
Page : 238 pages
File Size : 40,9 Mb
Release : 2010-12-01
Category : Science
ISBN : 9781441975980
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 : M Ladd
Publisher : Elsevier
Page : 424 pages
File Size : 52,8 Mb
Release : 1998-09-01
Category : Mathematics
ISBN : 9780857099778
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
Author : Shoon K. Kim
Publisher : Cambridge University Press
Page : 512 pages
File Size : 42,5 Mb
Release : 2005-09-29
Category : Science
ISBN : 0521020387
This book explains the basic aspects of symmetry groups as applied to problems in physics and chemistry using a unique approach developed by the author. This approach includes working out symmetry groups and their representations, eliminating the undue abstract nature of group theoretical methods. The author has systematized the wealth of knowledge on symmetry groups that has accumulated in the century since Fedrov discovered the 230 space groups. He reconstructs space groups, unitary as well as antiunitary, based on the algebraic defining relations of the point groups. This work will be of great interest to graduate students and professionals in solid state physics, chemistry, mathematics, geology and those who are interested in magnetic crystal structures.
Author : R. Mirman
Publisher : World Scientific
Page : 768 pages
File Size : 46,8 Mb
Release : 1999
Category : Science
ISBN : 9810237324
This book is by far the most comprehensive treatment of point and space groups, and their meaning and applications. Its completeness makes it especially useful as a text, since it gives the instructor the flexibility to best fit the class and goals. The instructor, not the author, decides what is in the course. And it is the prime book for reference, as material is much more likely to be found in it than in any other book; it also provides detailed guides to other sources.Much of what is taught is folklore, things everyone knows are true, but (almost?) no one knows why, or has seen proofs, justifications, rationales or explanations. (Why are there 14 Bravais lattices, and why these? Are the reasons geometrical, conventional or both? What determines the Wigner-Seitz cells? How do they affect the number of Bravais lattices? Why are symmetry groups relevant to molecules whose vibrations make them unsymmetrical? And so on). Here these analyses are given, interrelated, and in-depth. The understanding so obtained gives a strong foundation for application and extension. Assumptions and restrictions are not merely made explicit, but also emphasized.In order to provide so much information, details and examples, and ways of helping readers learn and understand, the book contains many topics found nowhere else, or only in obscure articles from the distant past. The treatment is (often completely) different from those elsewhere. At least in the explanations, and usually in many other ways, the book is completely new and fresh. It is designed to inform, educate and make the reader think. It strongly emphasizes understanding.The book can be used at many levels, by many different classes of readers ? from those who merely want brief explanations (perhaps just of terminology), who just want to skim, to those who wish the most thorough understanding.
Author : Mark Ladd
Publisher : OUP Oxford
Page : 440 pages
File Size : 48,9 Mb
Release : 2014-02-20
Category : Science
ISBN : 9780191649912
This book provides a comprehensive study of the symmetry and geometry of crystals and molecules, starting from first principles. The pre-knowledge assumed is mathematics and physical science to about A-level; additional mathematical topics are discussed in appendices. It is copiously illustrated, including many stereoviews, with instructions both for stereoviewing and for constructing a stereoviewer. Problems for each chapter are provided, with fully worked tutorial solutions. A suite of associated computer programs has been devised and placed on-line, for assisting both the study of the text and the solutions of the problems. The programs are easily executed, and instructions are provided in the text and on the monitor screen. The applicability of symmetry in everyday life as well as in science is stressed. Point groups and space groups are first discussed and derived in a semi-analytical manner, and later by use of group theory. The basic principles of group theory are discussed, together with applications to symmetry, chemical bonding and aspects of vibrations of molecules and crystals. The book is addressed to those studying the physical sciences and meeting the subject for the first time, and it brings the reader to a level of appreciation for the definitive works produced by the International Union of Crystallography, such as the International Tables for X-ray Crystallography, Vol 1 (1965) and the International Tables for Crystallography, Vol A (2006).
Author : Ulrich Müller,Hans Wondratschek,Bärnighausen. Hartmut
Publisher : Oxford University Press
Page : 349 pages
File Size : 49,6 Mb
Release : 2013-04-04
Category : Science
ISBN : 9780199669950
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.
Author : István Hargittai
Publisher : Wiley-VCH
Page : 340 pages
File Size : 40,5 Mb
Release : 1990
Category : Crystallography
ISBN : UCAL:B5183550
Fundamental phenomena and laws of nature are related to symmetry and, accordingly, symmetry is one of science's basic concepts. Istvan Hargittai has written and edited extensively on the question of symmetry in chemistry, and he has here assembled some very interesting papers which deal with the question of symmetry as it relates to quasi- crystals, networks and their relationships within a fivefold symmetrical context. This information will be useful to chemists (particulary organic and computational chemists) in creating new chemical structures for specific new uses.
Author : Daniel C. Harris,Michael D. Bertolucci
Publisher : Courier Corporation
Page : 588 pages
File Size : 49,7 Mb
Release : 1989-01-01
Category : Science
ISBN : 048666144X
Informal, effective undergraduate-level text introduces vibrational and electronic spectroscopy, presenting applications of group theory to the interpretation of UV, visible, and infrared spectra without assuming a high level of background knowledge. 200 problems with solutions. Numerous illustrations. "A uniform and consistent treatment of the subject matter." — Journal of Chemical Education.
Author : Magdolna Hargittai,Istvan Hargittai
Publisher : Springer Science & Business Media
Page : 528 pages
File Size : 43,5 Mb
Release : 2009-02-28
Category : Science
ISBN : 9781402056284
It is gratifying to launch the third edition of our book. Its coming to life testi?es about the task it has ful?lled in the service of the com- nity of chemical research and learning. As we noted in the Prefaces to the ?rst and second editions, our book surveys chemistry from the point of view of symmetry. We present many examples from ch- istry as well as from other ?elds to emphasize the unifying nature of the symmetry concept. Our aim has been to provide aesthetic pl- sure in addition to learning experience. In our ?rst Preface we paid tribute to two books in particular from which we learned a great deal; they have in?uenced signi?cantly our approach to the subject matter of our book. They are Weyl’s classic, Symmetry, and Shubnikov and Koptsik’s Symmetry in Science and Art. The structure of our book has not changed. Following the Int- duction (Chapter 1), Chapter 2 presents the simplest symmetries using chemical and non-chemical examples. Molecular geometry is discussed in Chapter 3. The next four chapters present gro- theoretical methods (Chapter 4) and, based on them, discussions of molecular vibrations (Chapter 5), electronic structures (Chapter 6), and chemical reactions (Chapter 7). For the last two chapters we return to a qualitative treatment and introduce space-group sym- tries (Chapter 8), concluding with crystal structures (Chapter 9). For the third edition we have further revised and streamlined our text and renewed the illustrative material.
Author : Boris K. Vainshtein
Publisher : Springer Science & Business Media
Page : 520 pages
File Size : 48,8 Mb
Release : 1994
Category : Juvenile Nonfiction
ISBN : 3540565582
From the reviews: "[...] an excellent reference book. I have no doubt it will become a much-thumbed resource for students and researchers in mineralogy and crystallography." Geological Magazine
