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38 2 BASIC STRUCTURAL CONCEPTS Table 2.1. Parameters for the Bravais lattices. System Number of Lattice Restrictions on conventional cell lattices symbols axes and angles Cubic 3 P, I, F abc 90° Tetragonal 2 P, I abc 90° Orthorhombic 4 P, C, I, F abc 90° Monoclinic 2 P, C abc 90° Triclinic 1 P abc Trigonal 1 R abc 120°,90° Hexagonal 1 P abc 90°, 120° Figure 2.11. (a) The hexagonal lattice. (b) The trigonal lattice.
B THE BRAVAIS LATTICE Figure 2.12. The 14 Bravais lattices. 39
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Page 5 and 6: Structure and Bonding in Crystallin
Page 7 and 8: Contents Preface ix 1. Introduction
Page 9 and 10: CONTENTS E. Electronegativity scale
Page 11 and 12: Preface This book resulted from lec
Page 13 and 14: Chapter 1 Introduction A Introducti
Page 15 and 16: B PERIODIC TRENDS IN ATOMIC PROPERT
Page 17 and 18: C BONDING GENERALIZATIONS BASED ON
Page 25 and 26: D GENERALIZATIONS ABOUT CRYSTAL STR
Page 33 and 34: E THE LIMITATIONS OF SIMPLE MODELS
Page 35 and 36: E THE LIMITATIONS OF SIMPLE MODELS
Page 37 and 38: F PROBLEMS and appreciated. For exa
Page 39 and 40: G REFERENCES AND SOURCES FOR FURTHE
Page 41 and 42: Chapter 2 Basic Structural Concepts
Page 43 and 44: B THE BRAVAIS LATTICE Figure 2.3. T
Page 45 and 46: B THE BRAVAIS LATTICE Figure 2.5. T
Page 47 and 48: B THE BRAVAIS LATTICE Figure 2.8. (
Page 49: B THE BRAVAIS LATTICE Figure 2.10.
Page 53 and 54: C THE UNIT CELL 4. The scheme for f
Page 55 and 56: C THE UNIT CELL Figure 2.14. The co
Page 57 and 58: D THE CRYSTAL STRUCTURE. A BRAVAIS
Page 59 and 60: E SPECIFYING LOCATIONS, PLANES AND
Page 61 and 62: E SPECIFYING LOCATIONS, PLANES AND
Page 63 and 64: F THE RECIPROCAL LATTICE Figure 2.2
Page 65 and 66: F THE RECIPROCAL LATTICE graphicall
Page 67 and 68: F THE RECIPROCAL LATTICE Example 2.
Page 69 and 70: G QUANTATIVE CALCULATIONS INVOLVING
Page 71 and 72: H VISUAL REPRESENTATIONS OF CRYSTAL
Page 81 and 82: I POLYCRYSTALLOGRAPHY vertical line
Page 83 and 84: I POLYCRYSTALLOGRAPHY Figure 2.39.
Page 85 and 86: I POLYCRYSTALLOGRAPHY g Z 2 cos 2
Page 93 and 94: J PROBLEMS Table 2.3 CSL boundaries
Page 95 and 96: J PROBLEMS (4) Draw a [001]* projec
Page 97 and 98: K REFERENCES AND SOURCES FOR FURTHE
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B SYMMETRY OPERATORS Figure 3.1. Th
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B SYMMETRY OPERATORS Figure 3.4. (a
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C THE 32 DISTINCT CRYSTALLOGRAPHIC
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D THE 230 SPACE GROUPS Figure 3.17.
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D THE 230 SPACE GROUPS 2 P2 C2 Pm P
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D THE 230 SPACE GROUPS point groups
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Figure 3.31. The positions of the s
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E THE INTERPRETATION OF CONVENTIONA
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F PROBLEMS positions? If so, show t
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F PROBLEMS Table 3.5 AB crystal str
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G REFERENCES AND SOURCES FOR FURTHE
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Chapter 4 Crystal Structures A Intr
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B CLOSE PACKED ARRANGEMENTS Figure
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B CLOSE PACKED ARRANGEMENTS Figure
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C THE INTERSTITIAL SITES Table 4.5.
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D NAMING CRYSTAL STRUCTURES apex of
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E CLASSIFYING CRYSTAL STRUCTURES E
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F IMPORTANT PROTOTYPE STRUCTURES F
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(a) (b) Figure 4.8. Two AB structur
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F IMPORTANT PROTOTYPE STRUCTURES Ta
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Figure 4.11. The L2 1 structure. Al
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F IMPORTANT PROTOTYPE STRUCTURES Fi
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G INTERSTITIAL COMPOUNDS G Intersti
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H LAVES PHASES Table 4.30. The C14
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H LAVES PHASES Table 4.32. Selected
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I SUPERLATTICE STRUCTURES AND COMPL
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J EXTENSIONS OF THE CLOSE PACKING D
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L NONCRYSTALLINE SOLID STRUCTURES (
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L NONCRYSTALLINE SOLID STRUCTURES F
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L NONCRYSTALLINE SOLID STRUCTURES F
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M PROBLEMS Figure 4.37. (a) Silica
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M PROBLEMS (ii) Do you think this s
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M PROBLEMS (vii) Compare this struc
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N REFERENCES AND SOURCES FOR FURTHE
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Chapter 5 Di¤raction A Introductio
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C THE SCATTERING OF X-RAYS FROM A P
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D THE RELATIONSHIP BETWEEN DIFFRACT
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E FACTORS AFFECTING THE INTENSITY O
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F SELECTED DIFFRACTION TECHNIQUES A
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G PROBLEMS Figure 5.23. The L1 0 st
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G PROBLEMS (10) Consider the reacti
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G PROBLEMS Figure 5.25. Three exper
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G PROBLEMS (iii) Define the orienta
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H REVIEW PROBLEMS (iv) Based on the
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I REFERENCES AND SOURCES FOR FURTHE
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Chapter 6 Secondary Bonding A Intro
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A INTRODUCTION Table 6.1. Inert gas
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B A PHYSICAL MODEL FOR THE VAN DER
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C DIPOLAR AND HYDROGEN BONDING Tabl
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D THE USE OF PAIR POTENTIALS IN EMP
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E PROBLEMS Figure 6.12. Two possibl
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F REFERENCES AND SOURCES FOR FURTHE
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A INTRODUCTION Table 7.1. Lattice e
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B A PHYSICAL MODEL FOR THE IONIC BO
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C OTHER FACTORS THAT INFLUENCE COHE
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D PREDICTING THE STRUCTURES OF IONI
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D PREDICTING THE STRUCTURES OF IONI
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E ELECTRONEGATIVITY SCALES E Electr
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E ELECTRONEGATIVITY SCALES A comple
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F THE CORRELATION OF PHYSICAL MODEL
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H PROBLEMS interacts with the other
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H PROBLEMS the lattice energies of
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A INTRODUCTION Table 8.1. The cohes
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B A PHYSICAL MODEL FOR THE METALLIC
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D ELECTRONS IN A PERIODIC LATTICE F
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D ELECTRONS IN A PERIODIC LATTICE t
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F EMPIRICAL POTENTIALS FOR CALCULAT
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G PROBLEMS Figure 8.14. The energy
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H REFERENCES AND SOURCES FOR FURTHE
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Chapter 9 Covalent Bonding A Introd
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A INTRODUCTION Table 9.1. Tetrahedr
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B A PHYSICAL MODEL FOR THE COVALENT
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Antibonding orbitals --- s2〉 - 1
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Antibonding orbitals Anion orbital
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C A PHYSICAL MODEL FOR THE COVALENT
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D A PHYSICAL MODEL FOR THE COVALENT
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E BANDS DERIVING FROM D-ELECTRONS s
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E BANDS DERIVING FROM D-ELECTRONS
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E BANDS DERIVING FROM D-ELECTRONS t
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G THE DISTINCTION BETWEEN COVALENT
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G THE DISTINCTION BETWEEN COVALENT
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H THE COHESIVE ENERGY OF A COVALENT
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I OVERVIEW OF THE LCAO MODEL AND CO
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K PROBLEMS bandgaps that can be pro
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K PROBLEMS (iv) What happens to the
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K PROBLEMS (i) Draw a sketch showin
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L REFERENCES AND SOURCES FOR FURTHE
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L REFERENCES AND SOURCES FOR FURTHE
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B MODELS FOR PREDICTING PHASE STABI
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Figure 10.7. Atomic parameters used
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C FACTORS THAT DETERMINE STRUCTURE
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Table 10.5. Atomic parameters for t
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D STRUCTURE STABILITY DIAGRAMS char
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D STRUCTURE STABILITY DIAGRAMS Figu
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D STRUCTURE STABILITY DIAGRAMS Tabl
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E PROBLEMS E Problems Figure 10.18.
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F REFERENCES AND SOURCES FOR FURTHE
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Appendix 1A Crystal and univalent r
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APPENDIX 1A: CRYSTAL AND UNIVALENT
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APPENDIX 2A: COMPUTING DISTANCES US
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Appendix 2C Computing interplanar s
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Appendix 3A The 230 space groups Ta
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APPENDIX 3A: THE 230 SPACE GROUPS T
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APPENDIX 3B: SELECTED CRYSTAL STRUC
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APPENDIX 5A: INTRODUCTION TO FOURIE
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Appendix 5B Coeªcients for atomic
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APPENDIX 5B: COEFFICIENTS FOR ATOMI
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N e L 21 2 APPENDIX 7A: EVALUATION
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Appendix 7B Ionic radii for halides
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APPENDIX 7B: IONIC RADII FOR HALIDE
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APPENDIX 7B: IONIC RADII FOR HALIDE
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Appendix 9A Cohesive energies and b
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Appendix 9B Atomic orbitals and the
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APPENDIX 9B: ATOMIC ORBITALS AND TH
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Index -MoO 3 , 130, 491 -quartz, 31
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INDEX D0 24 structure, 154, 156 D5
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INDEX L2 1 structure, 147, 151 La 2
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INDEX reflection, 88, 90 Rh 2 O 3 ,
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