CHAPTER 1. THERMODYNAMIC FUNCTIONS AND VARIABLES 11.1. State variables and characteristic functions of a phase 21.1.1. Intensive and extensive conjugate variables 21.1.2. Variations in internal energy during a transformation 31.1.3 Characteristic function associated with a canonical set of variables 51.2. Partial molar parameters 71.2.1. Definition 71.2.2. Properties of partial molar variables 81.3. Chemical potential and generalized chemical potentials 81.3.1. Chemical potential and partial molar free enthalpy 81.3.2. Definition of generalized chemical potential 91.3.3. Variations in the chemical potential and generalized chemical potential with variables 101.3.4. Gibbs–Duhem relation 101.3.5. Generalized Helmholtz relations 111.3.6. Chemical system associated with the general system 121.4. The two modeling scales 14CHAPTER 2. MACROSCOPIC MODELING OF A PHASE 152.1. Thermodynamic coefficients and characteristic matrices 152.1.1. Thermodynamic coefficients and characteristic matrix associated with the internal energy 152.1.2. Symmetry of the characteristic matrix 172.1.3. The thermodynamic coefficients needed and required to thermodynamically define the phase 172.1.4. Choosing other variables: thermodynamic coefficients and characteristic matrix associated with a characteristic function 192.1.5. Change in variable from one characteristic matrix to another 222.1.6. Relations between thermodynamic coefficients and secondary derivatives of the characteristic function 262.1.7. Examples of thermodynamic coefficients: calorimetric coefficients 272.2. Partial molar variables and thermodynamic coefficients 272.3. Common variables and thermodynamic coefficients 282.3.1. State equation 292.3.2. Expansion coefficients 302.3.3. Molar heat capacities 322.3.4. Young’s Modulus 342.3.5. Electric permittivity 342.3.6. Volumic and area densities of electric charge 342.4. Thermodynamic charts: justification of different types 352.4.1. Representation of a variable as a function of its conjugate 352.4.2. Representation of a ...