| Nomenclature | p. XI |
| Introduction | p. 1 |
| History and Potentials - an Overview | p. 5 |
| A Brief History | p. 5 |
| Publications on Thermodynamic Reference Data | p. 11 |
| Current Work and Future Challenges | p. 12 |
| Using Multiparameter Equations of State for Pure Substances | p. 15 |
| Different Kinds of Multiparameter Equations of State | p. 15 |
| Equations in Terms of the Helmholtz Energy | p. 16 |
| Correlations for the Helmholtz Energy of the Ideal Gas | p. 18 |
| Common Formulations for the Residual Helmholtz Energy | p. 23 |
| Equations in Terms of Pressure | p. 25 |
| Integration of Pressure Explicit Equations | p. 26 |
| Special Functional Forms | p. 28 |
| Hard Sphere Terms | p. 29 |
| Critical Region Terms | p. 31 |
| Simple Equations for Gas Phase Calibrations | p. 35 |
| Calculating Thermodynamic Properties from the Helmholtz Energy | p. 35 |
| Properties in the Homogeneous Region | p. 36 |
| Properties of the Vapour-Liquid Equilibrium Phases | p. 42 |
| Properties in the Vapour-Liquid Two Phase Region | p. 45 |
| Iterative Procedures | p. 46 |
| Calculations Based on Temperature and Pressure | p. 48 |
| Calculations Based on Pressure and Density | p. 51 |
| Calculations Based on Pressure and Enthalpy | p. 52 |
| Calculations Based on Pressure and Entropy | p. 54 |
| Calculation of Phase Equilibria | p. 54 |
| Multiple Maxwell Loops | p. 56 |
| Setting Up Multiparameter Equations of State for Pure Substances | p. 61 |
| Linear and Nonlinear Fitting | p. 62 |
| Describing the Helmholtz Energy of the Ideal Gas | p. 66 |
| Describing the Residual Helmholtz Energy | p. 74 |
| The Multiproperty Approach | p. 74 |
| Defining Residua for Linear Algorithms | p. 77 |
| Defining Residua for Nonlinear Algorithms | p. 80 |
| Assigning Weights to Experimental Data | p. 85 |
| Optimising the Functional Form | p. 90 |
| Defining a Bank of Terms | p. 91 |
| Hard Sphere Terms | p. 93 |
| Setting Up a Regression Matrix | p. 97 |
| The Stepwise Regression Analysis (SEEQ) | p. 98 |
| Introduction of a Pairwise Exchange | p. 103 |
| The Evolutionary Optimisation Method (EOM) | p. 106 |
| The Optimisation Algorithm by Setzmann and Wagner (OPTIM) | p. 107 |
| Adapting OPTIM to Equations of State | p. 114 |
| Introduction of a Pairwise Exchange | p. 116 |
| The Nonlinear Optimisation Algorithms by Tegeler et al | p. 117 |
| The Nonlinear Quality Criterion | p. 118 |
| The Nonlinear Stepwise Regression Analysis (NLREG) | p. 121 |
| The Nonlinear Optimisation Algorithm (NLOPT) | p. 125 |
| Speeding Up Nonlinear Optimisation Algorithms | p. 126 |
| Automated Optimisation Algorithms | p. 128 |
| Optimisation of Simplified Equations for Mixtures with Constant Composition | p. 129 |
| Independent Developments and Future Perspectives | p. 131 |
| Describing Properties in the Critical Region | p. 133 |
| Predictions from Theory | p. 134 |
| Theoretically Founded Equations of State | p. 138 |
| Capabilities of Empirical Multiparameter Equations of State | p. 141 |
| Setting Up Equations with Modified Gaussian Bell Shaped Terms | p. 151 |
| Setting Up Equations with Nonanalytic Terms: | p. 152 |
| Semiempirical Approaches | p. 156 |
| The Use of Switching Functions | p. 157 |
| The Transformation Approach | p. 158 |
| The Approach of Kiselev and Friend | p. 159 |
| Consideration of the Extrapolation Behaviour | p. 161 |
| Comparisons with Data Beyond the Range of Primary Data | p. 163 |
| The Influence of the Functional Form | p. 166 |
| The Representation of Ideal Curves | p. 168 |
| The Performance of Multiparameter Equations of State | p. 173 |
| Comparisons with Thermal Properties | p. 177 |
| Comparisons with Caloric Properties | p. 191 |
| Properties at Vapour-Liquid Phase Equilibrium | p. 206 |
| Some General Assessments | p. 214 |
| Generalised Functional Forms | p. 219 |
| Simultaneous Optimisation of Functional Forms | p. 223 |
| Simultaneously Optimised Equations for Technical Applications | p. 227 |
| Accuracy Versus Numerical Stability - A Compromise | p. 235 |
| An Investigation of Numerical Stability | p. 237 |
| The Influence of Uncertain Critical Parameters | p. 242 |
| Conclusions Regarding Required Data Sets | p. 245 |
| Results for Non- and Weakly Polar Fluids | p. 248 |
| Results for Polar Fluids | p. 262 |
| Simultaneously Optimised Reference Equations of State | p. 275 |
| Generalised Equations of State | p. 277 |
| BACKONE Equations of State | p. 279 |
| Fitting BACKONE Equations of State to Data | p. 281 |
| Some Results | p. 285 |
| Generalised Empirical Equations of State | p. 291 |
| The Approach by Platzer and Maurer | p. 292 |
| Some Results | p. 293 |
| The Approach by Span and Wagner | p. 300 |
| Fitting the Substance Specific Parameters | p. 303 |
| Results for Non- and Weakly Polar Fluids | p. 306 |
| Numerical Stability | p. 314 |
| Describing Mixtures with Multiparameter Equations of State | p. 319 |
| Using Composition Dependent Sets of Coefficients | p. 320 |
| The AGA8-DC92 Equation of State for Natural Gases | p. 324 |
| Extended Corresponding States Approaches | p. 327 |
| Interpolation Between Reference Fluids | p. 328 |
| The Shape Factor Concept | p. 329 |
| Helmholtz Models with Departure Functions | p. 332 |
| Mixture Specific Departure Functions | p. 335 |
| Generalised Departure Functions | p. 336 |
| References | p. 341 |
| Index | p. 363 |
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