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Chemistry - Solid State Chemistry -Materials Chemistry -Materials Science and Engineering xvii
Companion Website xxi
CrystalViewer xxii
Biography xxiii
1 Crystal Structures and Crystal Chemistry 1
1.1 Unit Cells and Crystal Systems 1
1.2 Symmetry 3
1.3 Symmetry and Choice of Unit Cell 10
1.4 Lattice, Bravais Lattice 11
1.5 Lattice Planes and Miller Indices 14
1.6 Indices of Directions 16
1.7 d-Spacing Formulae 17
1.8 Crystal Densities and Unit Cell Contents 17
1.9 Description of Crystal Structures 18
1.10 Close Packed Structures - Cubic and Hexagonal Close Packing 19
1.11 Relationship Between Cubic Close Packed and Face Centred Cubic 21
1.12 Hexagonal Unit Cell and Close Packing 21
1.13 Density of Close Packed Structures 22
1.14 Unit Cell Projections and Atomic Coordinates 24
1.15 Materials That Can Be Described as Close Packed 25
1.16 Structures Built of Space-Filling Polyhedra 33
1.17 Some Important Structure Types 35
2 Crystal Defects, Non-Stoichiometry and Solid Solutions 83
2.1 Perfect and Imperfect Crystals 83
2.2 Types of Defect: Point Defects 84
2.3 Solid Solutions 95
2.4 Extended Defects 108
2.5 Dislocations and Mechanical Properties of Solids 111
3 Bonding in Solids 125
3.1 Overview: Ionic, Covalent, Metallic, van der Waals and Hydrogen Bonding in Solids 125
3.2 Ionic Bonding 126
3.3 Covalent Bonding 161
3.4 Metallic Bonding and Band Theory 173
3.5 Bands or Bonds: a Final Comment 185
4 Synthesis, Processing and Fabrication Methods 187
4.1 General Observations 187
4.2 Solid State Reaction or Shake 'n Bake Methods 187
4.3 Low Temperature or Chimie Douce Methods 196
4.4 Gas-Phase Methods 213
4.5 High-Pressure Methods 225
4.6 Crystal Growth 226
5 Crystallography and Diffraction Techniques 229
5.1 General Comments: Molecular and Non-Molecular Solids 229
5.2 Characterisation of Solids 231
5.3 X-Ray Diffraction 232
5.4 Electron Diffraction 265
5.5 Neutron Diffraction 266
6 Other Techniques: Microscopy, Spectroscopy, Thermal Analysis 271
6.1 Diffraction and Microscopic Techniques: What Do They Have in Common? 271
6.2 Optical and Electron Microscopy Techniques 272
6.3 Spectroscopic Techniques 291
6.4 Thermal Analysis (TA) 314
6.5 Strategy to Identify, Analyse and Characterise 'Unknown' Solids 323
7 Phase Diagrams and Their Interpretation 325
7.1 The Phase Rule, the Condensed Phase Rule and Some Definitions 325
7.2 One-Component Systems 330
7.3 Two-Component Condensed Systems 333
7.4 Some Tips and Guidelines for Constructing Binary Phase Diagrams 355
8 Electrical Properties 359
8.1 Survey of Electrical Properties and Electrical Materials 359
8.2 Metallic Conductivity 361
8.3 Superconductivity 366
8.4 Semiconductivity 382
8.5 Ionic Conductivity 392
8.6 Dielectric Materials 430
8.7 Ferroelectrics 436
8.8 Pyroelectrics 441
8.9 Piezoelectrics 441
8.10 Applications of Ferro-, Pyro- and Piezoelectrics 441
9 Magnetic Properties 445
9.1 Physical Properties 445
9.2 Magnetic Materials, Their Structures and Properties 455
9.3 Applications: Structure-Property Relations 464
9.4 Recent Developments 467
10 Optical Properties: Luminescence and Lasers 473
10.1 Visible Light and the Electromagnetic Spectrum 473
10.2 Sources of Light, Thermal Sources, Black Body Radiation and Electronic Transitions 473
10.3 Scattering Processes: Reflection, Diffraction and Interference 476
10.4 Luminescence and Phosphors 476
10.5 Configurational Coordinate Model 478
10.6 Some Phosphor Materials 480
10.7 Anti-Stokes Phosphors 481
10.8 Stimulated Emission, Amplification of Light and Lasers 482
10.9 Photodetectors 488
10.10 Fibre-Optics 490
10.11 Solar Cells 492
Further Reading 493
Appendix A: Interplanar Spacings and Unit Cell Volumes 505
Appendix B: Model Building 507
Appendix C: Geometrical Considerations in Crystal Chemistry 511
Appendix D: How to Recognise Close Packed (Eutactic) Structures 515
Appendix E: Positive and Negative Atomic Coordinates 517
Appendix F: The Elements and Some of Their Properties 519
Questions 525
Index
Chemistry – Solid State Chemistry – Materials Chemistry – Materials Science and Engineering
Chemistry is an evolving subject! Traditionally, there have been three branches of chemistry: organic, physical and inorganic, with some arguments in favour of including analytical as a fourth branch. An alternative, fairly new classification (favoured by the author!) divides chemistry into two broad areas: molecular (which includes liquids and gases) and non-molecular (or solid state). The ways in which we think about, make, analyse and use molecular and non-molecular substances are completely different, as shown by a comparison of one ‘simple’ substance in each category, toluene and aluminium oxide:
Comparison of the chemistries of molecular and non-molecular materials
Thus, for toluene, once its formula and molecular structure had been determined there were few remaining issues to be resolved other than, perhaps, the detailed packing arrangement of molecules in crystalline toluene at low temperatures or the possible discovery and evaluation, even today, of as-yet unknown chemical, biological or pharmaceutical properties of pure toluene.
Alumina, by contrast, is a highly complex material; its properties, and therefore potential applications, depend on different aspects of its structure (bulk, defect, surface, nano), the methods needed to fabricate it in different forms and shapes, the possibility of doping to modify its properties and the characterisation or determination of its structure (and its composition, whether homogeneous or heterogeneous, if doped) across all length scales. This is solid state chemistry!
The biggest contrast between molecular and non-molecular materials is that the latter can be doped, allowing modification and control of properties such as magnetism, superconductivity and colour/optical band gap. By contrast, attempts to dope molecules are inevitably frustrated since replacing one atom in the molecule by another, or creating defects such as missing atoms, lead to entirely different molecules.
In recent decades, materials chemistry has emerged as a distinct branch of chemistry which covers both non-molecular, solid state materials (oxides, halides, etc.) and many molecular materials (especially, functional polymers and organic solids with potentially useful physical properties). Materials chemistry cuts across the traditional disciplines of chemistry but also includes something extra which is an interest in the physical properties of compounds and materials. In the past, solid state physics and materials science have been the usual ‘home’ for physical properties; but now, they are an intrinsic part of solid state and materials chemistry.
The distinction between materials chemistry and materials science is often unclear but can be summarised broadly as follows:
Materials chemistry
Synthesis – structure determination – physical properties – new materials
Materials science
Processing and fabrication – characterisation – optimisation of properties and testing – improved/new materials for engineering applications in products or devices.
Materials science focuses on materials that are already known to be useful or have the potential to be developed for applications, either by compositional control to optimise properties or by fabrication into desired forms, shapes or products. Materials science therefore includes whatever aspects of chemistry, physics and engineering that are necessary to achieve the desired aims.
Materials chemistry is much more than just a subset of materials science, however, since it is freed from the constraint of a focus on specific applications; materials chemists love to synthesise new materials and measure their properties, some of which may turn out to be useful and contribute to the development of new industries, but they do this within an overarching interest in new chemistry, new structures and improved understanding of structure – composition – property relationships.
A curious fact is that, in the early days of chemistry, inorganic chemistry had as its main focus, the elements of the periodic table and their naturally occurring or easy-to-make compounds such as oxides and halides. Inorganic chemistry subsequently diversified to include organometallic chemistry and coordination chemistry but interestingly, many traditional inorganic materials have returned to centre-stage and are now at the heart of solid state materials science. Examples include: Cr-doped Al2O3 for lasers; doped Si semiconductors for microelectronics; doped ZrO2 as the solid electrolyte in solid oxide fuel cells; BaTiO3 as the basis of the capacitor industry with a total annual production worldwide exceeding 1012 units; copper oxide-based materials for superconductor applications; and many, many more. The scope for developing new solid state materials/applications is infinite, judging by the ‘simple’ example of Al2O3 described above. Most such materials tend not to suffer from problems such as volatilisation, degradation and atmospheric attack, which are often a drawback of molecular materials, and can be used safely in the environment.
It is important to recognise also that physical properties of inorganic solids often depend on structure at different length scales, as shown by the following examples:
Thus in the case of ruby, which is a natural gemstone and was the first material in which LASER action – light amplification by stimulated emission of radiation – was demonstrated, two structural aspects are important. One is the host crystal structure of corundum, α-Al2O3 and the other is the Cr3+ dopant which substitutes at random for about 1% of the Al3+ ions in the corundum lattice: the Cr-O bond lengths and the octahedral site symmetry are controlled by the host structure; the two together combine to give the red ruby colour by means of d–d transitions within the Cr chromophore and the possibility of accessing the long-lived excited states that are necessary for LASER action.
A remarkable example of the effect of crystal structure details at the unit cell scale on properties is shown by dicalcium silicate, Ca2SiO4 which is readily prepared in two polymorphic forms at room temperature. One, the β-polymorph, reacts with water to give a semicrystalline calcium silicate hydrate which sets rock-solid and is a main constituent of concrete; the other polymorph, γ-Ca2SiO4, does not react with water. Just think, the entire construction industry rests on the detailed polymorphism of dicalcium silicate! It is not sufficient that one of the key components of cement has the right composition, Ca2SiO4; in addition, the precise manner in which ions are packed together in the solid state is critical to its hydration properties and whether or not it turns into concrete.
At the nanoscale, crystalline particles may contain many hundreds of unit cells but often their properties are different from powders, ceramics or single crystals of the same material with larger-sized grains simply because of the influence of surface energies. In small nanoparticles, surface free energies and structures increasingly dominate the total free energy of a material, as shown by the colour, and associated band gap, of CdS nanoparticles (or colloids in older...
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