Solid State ChemiStry and itS appliCation 2014 Anthony R. West PDF

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Solid State Chemistry and its Applications Second Edition Student Edition Anthony R. West 1 18 1 2 IUPAC Periodic Table of the Elements H He hydrogen helium 2 Key: 13 14 15 16 17 3 4 atomic number 5 6 7 8 9 10 Li Be Symbol B C N O F Ne lithium beryllium boron carbon nitrogen oxygen fluorine neon 11 ...

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Solid St at e ChemiSt ry and it S appliCat ionS Ant hony R. West Christ iane Campos Inorganic Chemist ry Housecroft Yurika Almanda Synt hesis, cryst al st ruct ure, and propert ies of KSbO3-t ype Bi3Mn1.9Te1.1O11 Joke Hadermann

SOLID STATE CHEMISTRY AND ITS APPLICATIONS SECOND EDITION

ANTHONY R. WEST

STUDENT EDITION

1

18

1

2

IUPAC Periodic Table of the Elements

H

He helium

hydrogen

13

14

15

16

17

3

4

2

atomic number

5

6

7

8

9

10

Li

Be

Symbol

B

C

N

O

F

Ne

lithium

beryllium

boron

carbon

nitrogen

oxygen

fluorine

neon

Key:

11

12

13

14

15

16

17

18

Na

Mg

Al

Si

P

S

Cl

Ar

sodium

magnesium

aluminium

silicon

phosphorus

sulfur

chlorine

argon

3

4

5

6

7

8

9

10

11

12

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

K

Ca

Sc

Ti

V

Cr

Mn

Fe

Co

Ni

Cu

Zn

Ga

Ge

As

Se

Br

Kr

potassium

calcium

scandium

titanium

vanadium

chromium

manganese

iron

cobalt

nickel

copper

zinc

gallium

germanium

arsenic

selenium

bromine

krypton

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

Rb

Sr

Y

Zr

Nb

Mo

Tc

Ru

Rh

Pd

Ag

Cd

In

Sn

Sb

Te

I

Xe

rubidium

strontium

yttrium

zirconium

niobium

molybdenum

technetium

ruthenium

rhodium

palladium

silver

cadmium

indium

tin

antimony

tellurium

iodine

xenon

55

56

57-71

72

73

74

75

76

77

78

79

80

81

82

83

84

85

86

Cs

Ba

lanthanoids

Hf

Ta

W

Re

Os

Ir

Pt

Au

Hg

Tl

Pb

Bi

Po

At

Rn

caesium

barium

hafnium

tantalum

tungsten

rhenium

osmium

iridium

platinum

gold

mercury

thallium

lead

bismuth

polonium

astatine

radon

87

88

89-103

104

105

106

107

108

109

110

111

112

Fr

Ra

actinoids

francium

radium

114

116

Rf

Db

Sg

Bh

Hs

Mt

Ds

Rg

Cn

Fl

Lv

rutherfordium

dubnium

seaborgium

bohrium

hassium

meitnerium

darmstadtium

roentgenium

copernicium

flerovium

livermorium

57

58

59

60

61

62

63

64

65

66

67

68

69

70

71

La

Ce

Pr

Nd

Pm

Sm

Eu

Gd

Tb

Dy

Ho

Er

Tm

Yb

Lu

lanthanum

cerium

praseodymium

neodymium

promethium

samarium

europium

gadolinium

terbium

dysprosium

holmium

erbium

thulium

ytterbium

lutetium

89

90

91

92

93

94

95

96

97

98

99

100

101

102

103

Ac

Th

Pa

U

Np

Pu

Am

Cm

Bk

Cf

Es

Fm

Md

No

Lr

actinium

thorium

protactinium

uranium

neptunium

plutonium

americium

curium

berkelium

californium

einsteinium

fermium

mendelevium

nobelium

lawrencium

Notes - IUPAC 2009 Standard atomic weights abridged to four significant digits (Table 4 published in Pure Appl. Chem. 83, 359-396 (2011); doi:10.1351/PAC-REP-10-09-14). The uncertainty in the last digit of the standard atomic weight value is listed in parentheses following the value. In the absence of parentheses, the uncertainty is one in that last digit. An interval in square brackets provides the lower and upper bounds of the standard atomic weight for that element. No values are listed for elements which lack isotopes with a characteristic isotopic abundance in natural terrestrial samples. See PAC for more details. - “Aluminum” and “cesium”are commonly used alternative spellings for “aluminium”and “caesium.”

INTERNATIONAL UNION OF PURE AND APPLIED CHEMISTRY

- Claims for the discovery of all the remaining elements in the last row of the Table, namely elements with atomic numbers 113,115,117 and 118, and for which no assignments have yet been made, are being considered by a IUPAC and IUPAP Joint Working Party. For updates to this table, see iupac.org/reports/periodic_table/. This version is dated 1 June 2012. Copyright © 2012 IUPAC, the International Union of Pure and Applied Chemistry.

Solid State Chemistry and its Applications Second Edition

Solid State Chemistry and its Applications Second Edition Student Edition

ANTHONY R. WEST Department of Materials Science and Engineering, University of Sheffield, UK

This edition first published 2014 © 2014 John Wiley & Sons, Ltd Registered office John Wiley & Sons Ltd, The Atrium, Southern Gate, Chichester, West Sussex, PO19 8SQ, United Kingdom For details of our global editorial offices, for customer services and for information about how to apply for permission to reuse the copyright material in this book please see our website at www.wiley.com. The right of the author to be identified as the author of this work has been asserted in accordance with the Copyright, Designs and Patents Act 1988. All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, except as permitted by the UK Copyright, Designs and Patents Act 1988, without the prior permission of the publisher. Wiley also publishes its books in a variety of electronic formats. Some content that appears in print may not be available in electronic books. Designations used by companies to distinguish their products are often claimed as trademarks. All brand names and product names used in this book are trade names, service marks, trademarks or registered trademarks of their respective owners. The publisher is not associated with any product or vendor mentioned in this book. Limit of Liability/Disclaimer of Warranty: While the publisher and author have used their best efforts in preparing this book, they make no representations or warranties with respect to the accuracy or completeness of the contents of this book and specifically disclaim any implied warranties of merchantability or fitness for a particular purpose. It is sold on the understanding that the publisher is not engaged in rendering professional services and neither the publisher nor the author shall be liable for damages arising herefrom. If professional advice or other expert assistance is required, the services of a competent professional should be sought. The advice and strategies contained herein may not be suitable for every situation. In view of ongoing research, equipment modifications, changes in governmental regulations, and the constant flow of information relating to the use of experimental reagents, equipment, and devices, the reader is urged to review and evaluate the information provided in the package insert or instructions for each chemical, piece of equipment, reagent, or device for, among other things, any changes in the instructions or indication of usage and for added warnings and precautions. The fact that an organization or Website is referred to in this work as a citation and/or a potential source of further information does not mean that the author or the publisher endorses the information the organization or Website may provide or recommendations it may make. Further, readers should be aware that Internet Websites listed in this work may have changed or disappeared between when this work was written and when it is read. No warranty may be created or extended by any promotional statements for this work. Neither the publisher nor the author shall be liable for any damages arising herefrom. Library of Congress Cataloging-in-Publication Data West, Anthony R. Solid state chemistry and its applications / Anthony R. West. – Second edition, student edition. pages cm Includes index. ISBN 978-1-119-94294-8 (pbk.) 1. Solid state chemistry. I. Title. QD478.W47 2014 541′ .0421–dc23 2013029528 A catalogue record for this book is available from the British Library. ISBN: 9781119942948 R software. CrystalMaker Software Ltd, www.crystalmaker.com Cover images created using CrystalMaker

Set in 10/12pt Times by Aptara Inc., New Delhi, India 1 2014

For Sheena, Isla, Graeme, Jenny and Susie

Contents Preface

xvii

Chemistry – Solid State Chemistry – Materials Chemistry – Materials Science and Engineering

xix

Companion Website CrystalViewer Crystal Structure Library Biography 1 Crystal Structures and Crystal Chemistry 1.1 Unit Cells and Crystal Systems 1.2 Symmetry 1.2.1 Rotational Symmetry; Symmetry Elements and Operations 1.2.2 Quasicrystals 1.2.3 Mirror Symmetry 1.2.4 Centre of Symmetry and Inversion Axes 1.2.5 Point Symmetry and Space Symmetry 1.3 Symmetry and Choice of Unit Cell 1.4 Lattice, Bravais Lattice 1.5 Lattice Planes and Miller Indices 1.6 Indices of Directions 1.7 d-Spacing Formulae 1.8 Crystal Densities and Unit Cell Contents 1.9 Description of Crystal Structures 1.10 Close Packed Structures – Cubic and Hexagonal Close Packing 1.11 Relationship between Cubic Close Packed and Face Centred Cubic 1.12 Hexagonal Unit Cell and Close Packing 1.13 Density of Close Packed Structures 1.14 Unit Cell Projections and Atomic Coordinates 1.15 Materials That Can Be Described as Close Packed 1.15.1 Metals 1.15.2 Alloys 1.15.3 Ionic Structures

xxiii xxiii xxiv xxv 1 1 3 3 6 6 6 9 10 11 14 16 17 17 18 19 21 21 22 24 25 25 25 26

Contents

1.15.3.1 1.15.3.2 1.15.3.3

1.16 1.17

Tetrahedral and Octahedral Sites Relative Sizes of Tetrahedral and Octahedral Sites Location of Tetrahedral and Octahedral Sites in an fcc Unit Cell; Bond Length Calculations 1.15.3.4 Description of Crystal Structures; Fractional Atomic Coordinates 1.15.4 Covalent Network Structures 1.15.5 Molecular Structures 1.15.6 Fullerenes and Fullerides Structures Built of Space-Filling Polyhedra Some Important Structure Types 1.17.1 Rock Salt (NaCl), Zinc Blende or Sphalerite (ZnS), Fluorite (CaF2 ), Antifluorite (Na2 O) 1.17.1.1 Rock Salt Structure 1.17.1.2 Zinc Blende (Sphalerite) Structure 1.17.1.3 Antifluorite/Fluorite Structure 1.17.1.4 Bond Length Calculations 1.17.2 Diamond 1.17.3 Wurtzite (ZnS) and Nickel Arsenide (NiAs) 1.17.4 Caesium Chloride (CsCl) 1.17.5 Other AX Structures 1.17.6 Rutile (TiO2 ), Cadmium Iodide (CdI2 ), Cadmium Chloride (CdCl2 ) and Caesium Oxide (Cs2 O) 1.17.7 Perovskite (SrTiO3 ) 1.17.7.1 Tolerance Factor 1.17.7.2 BaTiO3 1.17.7.3 Tilted Perovskites: Glazer Notation 1.17.7.4 CaCu3 Ti4 O12 , CCTO 1.17.7.5 Anion-Deficient Perovskites 1.17.7.6 Stoichiometry–Property Relations 1.17.8 Rhenium Trioxide (ReO3 ), Perovskite Tungsten Bronzes, Tetragonal Tungsten Bronzes and Tunnel Structures 1.17.9 Spinel 1.17.10 Olivine 1.17.11 Corundum, Ilmenite and LiNbO3 1.17.12 Fluorite-Related Structures and Pyrochlore 1.17.13 Garnet 1.17.14 Perovskite-Rock Salt Intergrowth Structures: K2 NiF4 , Ruddlesden–Popper Phases and Layered Cuprate Superconductors 1.17.15 The Aluminium Diboride Structure (AlB2 ) 1.17.16 Silicate Structures – Some Tips to Understanding Them

2 Crystal Defects, Non-Stoichiometry and Solid Solutions 2.1 Perfect and Imperfect Crystals 2.2 Types of Defect: Point Defects 2.2.1 Schottky Defect 2.2.2 Frenkel Defect 2.2.2.1 The Kroger–Vink Notation for Crystal Defects 2.2.2.2 Thermodynamics of Schottky and Frenkel Defect Formation

viii

26 28 29 30 31 31 31 33 35 35 37 38 39 41 42 43 47 48 49 54 57 57 58 62 62 62 63 66 70 72 72 75 76 80 81 83 83 84 85 85 86 87

ix

Contents

2.2.3 2.2.4

2.3

2.4

2.5

Colour Centres Vacancies and Interstitials in Non-Stoichiometric Crystals: Extrinsic and Intrinsic Defects 2.2.5 Defect Clusters or Aggregates 2.2.6 Interchanged Atoms: Order–Disorder Phenomena Solid Solutions 2.3.1 Substitutional Solid Solutions 2.3.2 Interstitial Solid Solutions 2.3.3 More Complex Solid Solution Mechanisms: Aliovalent Substitution 2.3.3.1 Ionic Compensation Mechanisms 2.3.3.2 Electronic Compensation: Metals, Semi- and Superconductors 2.3.4 Thermodynamically Stable and Metastable Solid Solutions 2.3.5 Experimental Methods for Studying Solid Solutions 2.3.5.1 X-ray Powder Diffraction, XRD 2.3.5.2 Density Measurements 2.3.5.3 Changes in Other Properties – Thermal Activity and DTA/DSC Extended Defects 2.4.1 Crystallographic Shear Structures 2.4.2 Stacking Faults 2.4.3 Subgrain Boundaries and Antiphase Domains (Boundaries) Dislocations and Mechanical Properties of Solids 2.5.1 Edge Dislocations 2.5.2 Screw Dislocations 2.5.3 Dislocation Loops 2.5.4 Dislocations and Crystal Structure 2.5.5 Mechanical Properties of Metals 2.5.6 Dislocations, Vacancies and Stacking Faults 2.5.7 Dislocations and Grain Boundaries

3 Bonding in Solids 3.1 Overview: Ionic, Covalent, Metallic, van der Waals and Hydrogen Bonding in Solids 3.2 Ionic Bonding 3.2.1 Ions and Ionic Radii 3.2.2 Ionic Structures – General Principles 3.2.3 The Radius Ratio Rules 3.2.4 Borderline Radius Ratios and Distorted Structures 3.2.5 Lattice Energy of Ionic Crystals 3.2.6 Kapustinskii’s Equation 3.2.7 The Born–Haber Cycle and Thermochemical Calculations 3.2.8 Stabilities of Real and Hypothetical Ionic Compounds 3.2.8.1 Inert Gas Compounds 3.2.8.2 Lower and Higher Valence Compounds 3.2.9 Effect of Partial Covalent Bonding on Crystal Structures 3.2.10 Effective Nuclear Charge 3.2.11 Electronegativity and Partially Charged Atoms 3.2.12 Coordinated Polymeric Structures – Sanderson’s Model 3.2.13 Mooser–Pearson Plots and Ionicities

90 91 92 95 95 96 98 99 99 102 104 104 104 105 107 108 108 110 110 111 112 114 115 117 118 120 122 125 125 126 126 130 133 135 136 140 141 143 143 144 145 147 147 149 150

Contents

3.2.14 3.2.15

3.3

3.4

3.5

Bond Valence and Bond Length Non-Bonding Electron Effects 3.2.15.1 d-Electron Effects 3.2.15.2 Inert Pair Effect Covalent Bonding 3.3.1 Particle-Wave Duality, Atomic Orbitals, Wavefunctions and Nodes 3.3.2 Orbital Overlap, Symmetry and Molecular Orbitals 3.3.3 Valence Bond Theory, Electron Pair Repulsion, Hybridisation and Oxidation States Metallic Bonding and Band Theory 3.4.1 Band Structure of Metals 3.4.2 Band Structure of Insulators 3.4.3 Band Structure of Semiconductors: Silicon 3.4.4 Band Structure of Inorganic Solids 3.4.4.1 III–V, II–VI and I–VII Compounds 3.4.4.2 Transition Metal Compounds 3.4.4.3 Fullerenes and Graphite Bands or Bonds: a Final Comment

4 Synthesis, Processing and Fabrication Methods 4.1 General Observations 4.2 Solid State Reaction or Shake ’n Bake Methods 4.2.1 Nucleation and Growth, Epitaxy and Topotaxy 4.2.2 Practical Considerations and Some Examples of Solid State Reactions 4.2.2.1 Li4 SiO4 4.2.2.2 YBa2 Cu3 O7–δ 4.2.2.3 Na β/β ′′ alumina 4.2.3 Combustion Synthesis 4.2.4 Mechanosynthesis 4.3 Low Temperature or Chimie Douce Methods 4.3.1 Alkoxide Sol–Gel Method 4.3.1.1 Synthesis of MgAl2 O4 4.3.1.2 Synthesis of Silica Glass 4.3.1.3 Spinning of Alumina Fibres 4.3.1.4 Preparation of Indium Tin Oxide (ITO) and Other Coatings 4.3.1.5 Fabrication of YSZ Ceramics 4.3.2 Sol–Gel Method Using Oxyhydroxides and Colloid Chemistry 4.3.2.1 Synthesis of Zeolites 4.3.2.2 Preparation of Alumina-Based Abrasives and Films 4.3.3 Citrate Gel and Pechini Processes 4.3.4 Use of Homogeneous, Single-Source Precursors 4.3.5 Hydrothermal and Solvothermal Synthesis 4.3.6 Microwave Synthesis 4.3.7 Intercalation and Deintercalation 4.3.7.1 Graphite Intercalation Compounds 4.3.7.2 Pillared Clays and Layered Double Hydroxides 4.3.7.3 Synthesis of Graphene

x

151 153 153 161 161 162 163 169 173 179 179 179 181 181 182 184 185 187 187 187 188 191 193 193 193 194 195 196 196 197 197 197 198 198 198 199 200 200 201 202 204 205 207 208 209

xi

Contents

4.3.8

4.4

4.5 4.6

Example of a Difficult Synthesis Made Possible by Chimie Douce Methods: BiFeO3 4.3.9 Molten Salt Synthesis, MSS Gas-Phas...