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Physical Properties of Crystals
Physical Properties of Crystals
Authier, Andre
Andre Authier
ISBN: 9781402007149
Format: Multimedia Item
Publisher:Springer-Verlag New York Inc.
Edition: illustrated edition
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Introduces the mathematical properties of tensors and group representations. This title deals with the symmetry aspects of excitations in reciprocal space: phonons, electrons, Raman scattering and Brillouin scattering. It also deals with the symmetry aspects of structural phase transitions and twinning.
"Volume D" is concerned with the influence of symmetry on the physical and tensor properties of crystals and on their structural phase transitions. This role is very important in many different disciplines of the science of materials, such as crystallography, elasticity, solid-state physics, magnetism, optics, ferroelectricity and mineralogy, and "Volume D" deals with all these aspects in a unified way. The book is accompanied by a CD containing two pieces of software, one which supports Chapters 1.1 and 1.2 for the determination of irreducible group representations and tensor components, and one which supports Part 3 on structural phase transitions. Part 1 introduces the mathematical properties of tensors and group representations and gives their independent components for each of the crystallographic groups. The software included in the accompanying CD enables one to determine the irreducible representations of finite point groups in three dimensions (the 32 crystallographic groups and the groups of quasicrystalline phases) and the independent components of a tensor of any rank for each of these groups. As examples, several tensor properties of crystals are described: elastic properties, thermal expansion, magnetic properties, linear and nonlinear optical properties, transport properties and atomic displacement parameters, of special interest to crystallographers. A separate chapter is devoted to the particular case of tensors in quasiperiodic structures. Part 2 is devoted to the symmetry aspects of excitations in reciprocal space: phonons, electrons, Raman scattering and Brillouin scattering. Part 3 deals with the symmetry aspects of structural phase transitions and twinning. A prominent feature is the joint description of twinning and domain structures, which are usually presented in completely separate ways in handbooks of physics and mineralogy. The theory of structural phase transitions relates the symmetry characteristics of the transitions to their physical characteristics. The application of the symmetry principles that derive from this theory is illustrated by the tables contained in the accompanying CD. The CD also contains tables of tensor properties at any group-subgroup phase transition. "Volume D" was recently reviewed by M. Moore (Crystallography News, No. 90, September 2004, pp. 11-12).
| ISBN | 1402007140 | | Part volume | Physical Properties of Crystals | | ISBN13 | 9781402007149 (What's this?) | | Volumes | 1 | | Publisher | Springer-Verlag New York Inc. | | Co_publisher | International Union of Crystallography | | Imprint | Springer-Verlag New York Inc. | | Weight (grammes) | 2194 | | Format | Multimedia Item | | Published in | New York | | Publication date | 15 Dec 2003 | | Series ISSN | D | | Library of Congress | QD908 | | Series title | International Tables for Crystallography | | DEWEY | 548.0212 | | Height (mm) | 240 | | DEWEY edition | DC21 | | Width (mm) | 160 | | Pages | 533 | | Academic level | Undergraduate, Postgraduate, Professional / Scholarly |
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From the reviews: .,."As the series title implies, the volumes contain many useful tables, but they also comprise comprehensive explanatory chapters. The present tome brings together the widest ranging and latest crystallographic information, distilled by 28 international experts (from 9 different countries). Terry Willis originally proposed the idea for this volume and AndrAƒA(c) Authier has skilfully orchestrated the whole project. The high standard of the IUCr has been maintained: the book is beautifully produced, together with fine illustrations, some in colour, and numerous references to the extensive literature; and it is supported by a CD-ROM with a further 140 pages of explanation (including, amongst other things, algebraic details of groups and subgroups) as well as useful software. Crystallographers, materials scientists, mineralogists and solid-state physicists will all welcome this up-to-date, handsome and most distinguished reference book." (M. Moore (Crystallography News, No. 90)
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