商品簡介
International Tables for Crystallography is the definitive resource and reference work for crystallography and structural science.
Each of the eight volumes in the series contains articles and tables of data relevant to crystallographic research and to applications of crystallographic methods in all sciences concerned with the structure and properties of materials. Emphasis is given to symmetry, diffraction methods and techniques of crystal-structure determination, and the physical and chemical properties of crystals. The data are accompanied by discussions of theory, practical explanations and examples, all of which are useful for teaching.
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 volume is divided into 3 parts:
Part 1: Introduces the mathematical properties of tensors and group representations and gives their independent components for each of the crystallographic groups.
Part 2: 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.
Supplementary software is provided to support and enhance Chapters 1.1 and 1.2 for the determination of irreducible group representations and tensor components, and Part 3 on structural phase transitions.
目次
Preface (A. Authier).
PART 1 TENSORIAL ASPECTS OF PHYSICAL PROPERTIES.
1.1 Introduction to the Properties of Tensors (A. Authier).
1.1.1 The Matrix of Physical Properties.
1.1.2 Basic Properties of Vector Spaces.
1.1.3 Mathematical Notion of Tensor.
1.1.4 Symmetry Properties.
1.1.5 Thermodynamic Functions and Physical Property Tensors.
1.1.6 Glossary.
1.2 Representations of Crystallographic Groups (T. Janssen).
1.2.1 Introduction.
1.2.2 Point Groups.
1.2.3 Space Groups.
1.2.4 Tensors.
1.2.5 Magnetic Symmetry.
1.2.6 Tables.
1.2.7 Introduction to the Accompanying Software Tenυar (M. Ephraïm, T. Janssen, A. Janner and A. Thiers).
1.2.8 Glossary.
1.3 Elastic Properties (A. Authier and A. Zarembowitch).
1.3.1 Strain Tensor.
1.3.2 Stress Tensor.
1.3.3 Linear Elasticity.
1.3.4 Propagation of Elastic Waves in Continuous Media - Dynamic Elasticity.
1.3.5 Pressure Dependence and Temperature Dependence of the Elastic Constants.
1.3.6 Nonlinear Elasticity.
1.3.7 Nonlinear Dynamic Elasticity.
1.3.8 Glossary.
1.4 Thermal Expansion (H. Küppers).
1.4.1 Definition, Symmetry and Representative Surfaces.
1.4.2 Grüneisen Relation.
1.4.3 Experimental Methods.
1.4.4 Relation to Crystal Structure.
1.4.5 Glossary.
1.5 Magnetic Properties (A.S. Borovik-Romanov and H. Grimmer).
1.5.1 Introduction.
1.5.2 Magnetic Symmetry.
1.5.3 Phase Transition into a Magnetically Ordered State.
1.5.4 Domain Structure.
1.5.5 Weakly Non-Collinear Magnetic Structures.
1.5.6 Reorientation Transitions.
1.5.7 Piezomagnetism.
1.5.8 Magnetoelectric Effect.
1.5.9 Magnetostriction.
1.5.10 Transformation from Gaussian to SI units.
1.5.11 Glossary.
1.6 Classical Linear Crystal Optics (A.M. Glazer and K.G. Cox).
1.6.1 Introduction.
1.6.2 Generalized Optical, Electro-Optic and Magneto-Optic Effects.
1.6.3 Linear Optics.
1.6.4 Practical Observation of Crystals.
1.6.5 Optical Rotation.
1.6.6 Linear Electro-Optic Effect.
1.6.7 The Linear Photoelastic Effect.
1.6.8 Glossary.
1.7 Nonlinear Optical Properties (B.Boulanger and J. Zyss).
1.7.1 Introduction.
1.7.2 Origin and Symmetry of Optical Nonlinearities.
1.7.3 Propagation Phenomena.
1.7.4 Determination of Basic Nonlinear Parameters.
1.7.5 The Main Nonlinear Crystals.
1.7.6 Glossary.
1.8 Transport Properties (G.D. Mahan).
1.8.1 Introduction.
1.8.2 Macroscopic Equations.
1.8.3 Electrical Resistivity.
1.8.4 Thermal Conductivity.
1.8.5 Seebeck Coefficient.
1.8.6 Glossary.
1.9 Atomic Displacement Parameters (W.F. Kuhs).
1.9.1 Introduction.
1.9.2 The Atomic Displacement Parameters (ADPs).
1.9.3 Site-Symmetry Restrictions.
1.9.4 Graphical Representation.
1.9.5 Glossary.
1.10 Tensors in Quasiperiodic Structures (T. Janssen).
1.10.1 Quasiperiodic Structures.
1.10.2 Symmetry.
1.10.3 Action of the Symmetry Group.
1.10.4 Tensors.
1.10.5 Tables.
PART 2 SYMMETRY ASPECTS OF EXCITATIONS.
2.1 Phonons (G. Eckold).
2.1.1 Introduction.
2.1.2 Fundamentals of Lattice Dynamics in the Harmonic Approximation.
2.1.3 Symmetry of Lattice Vibrations.
2.1.4 Conclusion.
2.1.5 Glossary.
2.2 Electrons (K. Schwarz).
2.2.1 Introduction.
2.2.2 The Lattice.
2.2.3 Symmetry Operators.
2.2.4 The Bloch Theorem.
2.2.5 The Free-Electron (Sommerfeld Model).
2.2.6 Space-Group Symmetry.
2.2.7 The K Vector and the Brillouin Zone.
2.2.8 Bloch Functions.
2.2.9 Quantum-Mechanical Treatment.
2.2.10 Density Functional Theory.
2.2.11 Band-Theory Methods.
2.2.12 The Linearized Augmented Plane Wave Method.
2.2.13 The Local Coordinate System.
2.2.14 Characterization of Bloch States.
2.2.15 Electric Field Gradient Tensor.
2.2.16 Examples.
2.2.17 Conclusion.
2.3 Raman Scattering (I. Gregora).
2.3.1 Introduction.
2.3.2 Inelastic Light Scattering in Light Crystals - Basic Notions.
2.3.3 First-Order Scattering by Phonons.
2.3.4 Morphic Effects in Raman Scattering.
2.3.5 Spatial-Dispersion Effects.
2.3.6 Higher-Order Scattering.
2.3.7 Conclusions.
2.3.8 Glossary.
2.4 Brillouin Scattering (R. Vacher and E. Courtens).
2.4.1 Introduction.
2.4.2 Elastic Waves.
2.4.3 Coupling of Light with Elastic Waves.
2.4.4 Brillouin Scattering in Crystals.
2.4.5 Use of the Tables.
2.4.6 Techniques of Brillouin Spectroscopy.
PART 3 SYMMETRY ASPECTS OF STRUCTURAL PHASE TRANSITIONS, TWINNING AND DOMAIN STRUCTURES.
3.1 Structural Phase Transitions (J.-C. Tolédano, V. Janovec, V. Kopský, J.F. Scott and P. Bocek).
3.1.1 Introduction (J.-C. Tolédano).
3.1.2 Thermodynamics of Structural Transitions (J.-C. Tolédano).
3.1.3 Equitranslational Phase Transitions. Property Tensors at Ferroic Phase Transitions (V. Janovec and V. Kopský).
3.1.4 Example of a Table for Non-Equitranslational Phase Transitions (J.-C. Tolédano).
3.1.5 Microscopic Aspects of Structural Phase Transitions and Soft Modes (J.F. Scott).
3.1.6 Group Informatics and Tensor Calculus (V. Kopský and P. Bocek).
3.1.7 Glossary.
3.2 Twinning and Domain Structures (V. Janovec, Th. Hahn and H. Klapper).
3.2.1 Introduction and History.
3.2.2 A Brief Survey of Bicrystallography.
3.2.3 Mathematical Tools.
3.3 Twinning of Crystals (Th. Hahn and H. Klapper).
3.3.1 Crystal Aggregates and Intergrowths.
3.3.2 Basic Concepts and Definitions of Twinning.
3.3.3 Morphological Classification, Simple and Multiple Twinning.
3.3.4 Composite Symmetry and the Twin Law.
3.3.5 Description of the Twin Law by Black-White Symmetry.
3.3.6 Examples of Twinned Crystals.
3.3.7 Genetic Classification of Twins.
3.3.8 Lattice Aspects of Twinning.
3.3.9 Twinning by Merohedry and Pseudo-Merohedry.
3.3.10 Twin Boundaries.
3.3.11 Glossary.
3.4 Domain Structures (V. Janovec and J. Prívratská).
3.4.1 Introduction.
3.4.2 Domain States.
3.4.3 Domain Pairs: Domain Twin Laws, Distinction of Domain States and Switching.
3.4.4 Domain Twins and Domain Walls.
3.4.5 Glossary.
List of Terms and Symbols Used in this Volume.
Author Index.
Subject Index.
