Acknowledgments |
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xv | |
Introduction |
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xvii | |
Part I: Phase Diagrams And Thermodynamics |
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3 | (6) |
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8 | (1) |
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8 | (1) |
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Chapter 2 Thermodynamics Fundamentals |
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9 | (24) |
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2.1 The First and Second Laws of Thermodynamics |
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10 | (3) |
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13 | (3) |
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16 | (2) |
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2.4 Equilibrium and Chemical Reactions |
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18 | (7) |
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2.5 Measuring Gibbs Energy, Enthalpy and Entropy |
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25 | (2) |
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2.6 Gibbs Energy of a Pure Compound as a Function of Temperature |
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27 | (1) |
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28 | (1) |
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2.8 The Chemical Potential |
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29 | (1) |
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2.9 Some Other Useful Thermodynamic Equations |
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30 | (1) |
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31 | (1) |
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31 | (2) |
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Chapter 3 The Gibbs Phase Rule |
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33 | (8) |
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3.1 The Phase Rule and Binary Temperature-Composition Phase Diagrams |
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35 | (3) |
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3.2 Other Examples of Applications of the Phase Rule |
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38 | (2) |
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40 | (1) |
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Chapter 4 Fundamentals of the Thermodynamics of Solutions |
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41 | (12) |
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4.1 Gibbs Energy of Mixing |
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41 | (2) |
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43 | (1) |
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4.3 Partial Molar Properties |
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43 | (1) |
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4.4 Relative Partial Molar Properties |
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44 | (2) |
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46 | (1) |
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4.6 Ideal Raoultian Solutions |
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46 | (2) |
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48 | (1) |
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4.8 Activity Coefficients |
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49 | (1) |
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4.9 Regular Solution Theory |
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50 | (2) |
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4.10 Multicomponent Solutions |
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52 | (1) |
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52 | (1) |
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52 | (1) |
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Chapter 5 Thermodynamic Origin of Phase Diagrams |
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53 | (32) |
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5.1 Temperature-Composition Phase Diagrams in Systems with Complete Solid and Liquid Miscibility |
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53 | (5) |
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5.2 Binary Pressure-Composition Phase Diagrams |
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58 | (1) |
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5.3 Minima and Maxima in Two-Phase Regions |
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59 | (2) |
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61 | (2) |
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5.5 Simple Eutectic Systems |
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63 | (2) |
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5.6 Thermodynamic Origin of Simple Binary Phase Diagrams Illustrated by Regular Solution Theory |
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65 | (2) |
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5.7 Immiscibility-Montectics |
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67 | (3) |
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70 | (3) |
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5.9 Limited Mutual Solubility-Ideal Henrian Solutions |
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73 | (3) |
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5.10 Henry's Law, Raoult's Law and Standard States |
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76 | (2) |
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5.11 Single Ion Activities |
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78 | (1) |
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5.12 The "Activity" of a Solution |
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79 | (1) |
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5.13 Geometry of Binary Temperature-Composition Phase Diagrams |
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80 | (3) |
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5.14 Effects of Grain Size, Coherency, and Strain Energy |
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83 | (1) |
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84 | (1) |
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84 | (1) |
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Chapter 6 Ternary Temperature-Composition Phase Diagrams |
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85 | (18) |
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6.1 The Ternary Composition Triangle |
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85 | (1) |
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86 | (2) |
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6.3 Polythermal Projections of Liquidus Surfaces |
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88 | (3) |
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6.4 Ternary Isothermal Sections |
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91 | (4) |
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6.5 Ternary Isopleths (Constant Composition Sections) |
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95 | (2) |
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6.6 First-Melting (Solidus) Projections of Ternary Systems |
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97 | (2) |
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6.7 Phase Diagram Projections in Quaternary and Higher-Order Systems |
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99 | (3) |
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102 | (1) |
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102 | (1) |
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Chapter 7 General Phase Diagram Sections |
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103 | (30) |
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7.1 Corresponding Potentials and Extensive Variables |
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104 | (1) |
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7.2 The Law of Adjoining Phase Regions |
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105 | (2) |
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7.3 Nodes in Phase Diagram Sections |
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107 | (1) |
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7.4 Zero Phase Fraction Lines |
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108 | (2) |
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7.5 Choice of Variables to Ensure That Phase Diagram Sections are Single-Valued |
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110 | (4) |
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7.6 Corresponding Phase Diagrams |
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114 | (4) |
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7.7 The Thermodynamics of General Phase Diagram Sections |
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118 | (4) |
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7.8 Interpreting Phase Diagrams of Oxide Systems and Other Systems Involving Two or More Oxidation States of a Metal |
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122 | (5) |
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7.9 Choice of Components and Choice of Variables |
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127 | (1) |
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7.10 Phase Diagrams of Reciprocal Systems |
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128 | (1) |
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7.11 Choice of Variables to Ensure Straight Tie-Lines |
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129 | (1) |
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7.12 Other Sets of Corresponding Variable Pairs |
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130 | (1) |
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7.13 Extension Rules for Polythermal Liquidus Projections |
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131 | (1) |
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7.14 Phase Fraction Lines |
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131 | (1) |
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131 | (1) |
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131 | (2) |
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Chapter 8 Equilibrium and Scheil-Gulliver Solidification |
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133 | (16) |
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8.1 Equilibrium Solidification |
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133 | (1) |
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8.2 General Nomenclature for Invariant and Other Reactions |
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134 | (1) |
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8.3 Quasi-Invariant Reactions |
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135 | (1) |
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8.4 Nonequilibrium Scheil-Gulliver Solidification |
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136 | (1) |
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8.5 Scheil-Gulliver Constituent Diagrams |
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137 | (11) |
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148 | (1) |
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148 | (1) |
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Chapter 9 Paraequilibrium Phase Diagrams and Minimum Gibbs Energy Diagrams |
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149 | (10) |
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9.1 The Geometry of Paraequilibrium Phase Diagram Sections |
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150 | (5) |
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9.2 Minimum Gibbs Energy Phase Diagrams |
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155 | (3) |
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158 | (1) |
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Chapter 10 Second-Order and Higher-Order Transitions |
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159 | (6) |
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10.1 Equations for Thermodynamic Properties due to Magnetic Ordering |
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163 | (1) |
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164 | (1) |
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164 | (1) |
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Chapter 11 Phase Diagrams of Systems With an Aqueous Phase |
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165 | (18) |
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165 | (2) |
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167 | (5) |
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11.3 True Aqueous Phase Diagrams |
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172 | (10) |
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182 | (1) |
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182 | (1) |
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Chapter 12 Bibliography on Phase Diagrams |
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183 | (6) |
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12.1 Phase Diagram Compilations |
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183 | (1) |
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184 | (1) |
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184 | (1) |
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185 | (4) |
Part II: Thermodynamic Modeling Of Solutions |
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189 | (4) |
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191 | (2) |
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Chapter 14 Single-Lattice Random-Mixing (Bragg-Williams-BW) Models |
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193 | (36) |
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14.1 Ideal Raoultian Solutions |
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194 | (1) |
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14.2 Regular Solution Theory: Binary Systems |
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195 | (1) |
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14.3 Polynomial Expansion of the Excess Gibbs Energy: Binary Systems |
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196 | (4) |
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14.4 Solutions With Two or More Sublattices But With Only One Sublattice of Variable Composition |
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200 | (1) |
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14.5 Solutions With Limited Solubility: Lattice Stabilities |
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201 | (1) |
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14.6 Darken's Quadratic Formalism |
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202 | (1) |
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14.7 Introduction to Coupled Thermodynamic/Phase Diagram Optimization: Binary Systems |
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203 | (4) |
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14.8 Multicomponent Systems |
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207 | (12) |
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14.9 Liquid Solutions: Coordination Equivalent Fractions |
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219 | (3) |
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14.10 Wagner's Interaction Parameter Formalism and the Unified Interaction Parameter Formalism |
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222 | (4) |
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226 | (1) |
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226 | (3) |
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Chapter 15 Multiple-Sublattice Random-Mixing (Bragg-Williams-BW) Models |
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229 | (24) |
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15.1 Case of a Two-Sublattice (A,B)(X,Y) Solution |
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231 | (8) |
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15.2 Activities of the End-Members |
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239 | (1) |
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15.3 The Compound Energy Formalism (CEF) |
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240 | (9) |
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15.4 Asymmetric Molten Ionic Solutions: Temkin Model |
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249 | (3) |
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252 | (1) |
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252 | (1) |
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Chapter 16 Single-Lattice Models With Short-Range Ordering (SRO) |
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253 | (42) |
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257 | (3) |
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16.2 The Modified Quasichemical Model (MQM) |
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260 | (12) |
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16.3 Second-Nearest-Neighbor Short-Range Ordering in Ionic Liquids |
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272 | (2) |
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16.4 Short-Range Ordering and Positive Deviations From Ideal Mixing |
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274 | (3) |
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16.5 Approximating Short-Range Ordering with a Polynomial Expansion |
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277 | (1) |
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16.6 Modified Quasichemical Model-Multicomponent Systems |
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278 | (8) |
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16.7 The MQM Equations in Closed Explicit Form |
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286 | (1) |
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16.8 Combining Bragg-Williams and MQM Models in One Multicomponent Database |
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287 | (1) |
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16.9 Comparison of the Bragg-Williams, Associated and Modified Quasichemical Models in Predicting Ternary Properties From Binary Properties |
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288 | (4) |
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16.10 The Two-Sublattice "Ionic Liquid" Model |
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292 | (1) |
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293 | (1) |
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294 | (1) |
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Chapter 17 Modeling Short-Range Ordering With Two Sublattices |
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295 | (24) |
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295 | (1) |
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17.2 Definitions, Coordination Numbers |
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296 | (4) |
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17.3 Formal Treatment of Quadruplets as "Complexes" or "Molecules" |
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300 | (3) |
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17.4 Gibbs Energy Equation |
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303 | (2) |
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17.5 The Configurational Entropy |
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305 | (3) |
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17.6 Second-Nearest-Neighbor Interaction Terms |
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308 | (6) |
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314 | (3) |
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317 | (1) |
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318 | (1) |
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Chapter 18 Some Applications |
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319 | (32) |
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18.1 Molten Oxide Solutions |
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319 | (14) |
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18.2 Order-Disorder Transitions |
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333 | (8) |
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18.3 Liquid Solutions With More Than One Composition of Short-Range Ordering |
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341 | (1) |
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18.4 Deoxidation Equilibria in Steel |
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342 | (4) |
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18.5 Magnetic Contributions to the Thermodynamic Properties of Solutions |
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346 | (1) |
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18.6 Limiting Liquidus Slope in Dilute Solutions |
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346 | (3) |
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349 | (1) |
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350 | (1) |
Exercises |
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Chapter 19 Exercises With Solutions |
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351 | (26) |
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351 | (12) |
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19.2 Solutions to Exercises |
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363 | (14) |
Index |
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377 | |