Contents -- 1 Basic laws of thermodynamics -- 1.1 First law of thermodynamics -- 1.1.1 Basic definitions -- 1.1.2 Implications of the first law of thermodynamics -- 1.1.3 Ideal gas -- 1.1.4 Thermochemistry -- 1.2 The second law of thermodynamics -- 1.2.1 Thomson and Clausius postulates -- 1.2.2 Reversible and irreversible processes -- 1.2.3 Carnot cycle -- 1.2.4 The Clausius inequality -- 1.2.5 Entropy -- 1.2.6 Implications of the second law of thermodynamics -- 1.3 The third law of thermodynamics -- 1.3.1 Nernst heat theorem -- 1.3.2 Determination of the absolute entropy -- 1.4 Helmholtz and Gibbs free energies -- 1.4.1 Direction of spontaneous processes at constant temperature -- 1.4.2 Dependence of the Helmholtz and Gibbs free energies on p, T, and V -- 1.5 Thermodynamics of open systems -- 1.5.1 Chemical potential -- 1.5.2 Conditions for equilibrium -- 2 Phase equilibria I -- 2.1 Gibbs phase rule -- 2.2 Clausius-Clapeyron equation -- 3 Thermodynamic theory of solutions -- 3.1 Thermodynamic description of solutions -- 3.2 Ideal dilute solutions -- 3.2.1 Thermodynamic functions -- 3.2.2 Boiling point -- 3.2.3 Freezing point -- 3.2.4 Solute partitioning -- 3.2.5 Composition of a saturated solution -- 3.3 Ideal solutions -- 3.4 Non-ideal solutions -- 3.4.1 Activity -- 3.4.2 Experimental determination of activity -- 3.5 Regular solutions -- 3.6 Athermal solution model -- 3.7 Ionic solutions -- 4 Phase equilibria II -- 4.1 Phase diagrams of two-component systems -- 4.2 Type I phase diagrams -- 4.3 Type II phase diagrams -- 4.4 Type III phase diagrams -- 4.5 Type IV phase diagrams -- 4.6 Type V phase diagrams -- 4.7 Type VI phase diagrams -- 4.8 Labeling of one- and two-component regions of a phase diagram -- 5 Thermodynamics of chemical reactions -- 5.1 Thermodynamic considerations for chemical reactions -- 5.2 Thermodynamics of reactions of gases.

5.3 Thermodynamics of reactions of pure condensed substances -- 5.4 Thermodynamics of reactions with solutions -- 6 Interfacial phenomena -- 6.1 Adsorption of gases -- 6.1.1 Langmuir isotherm -- 6.1.2 BET theory for multilayer adsorption -- 6.1.3 Capillary condensation -- 6.2 Gibbs interfacial thermodynamics -- 6.3 Guggenheim and Zhuhovitsky models -- 7 Thermodynamics of stressed systems -- 7.1 Small deformations of solids -- 7.1.1 Strain tensor -- 7.1.2 Stress tensor -- 7.2 Free energy of strained solids -- 7.3 Hooke's law -- 7.3.1 Hooke's law for anisotropic solids -- 7.3.2 Hooke's law for isotropic solids -- 7.4 Relationship between deformation and change of temperature -- 7.5 Equilibrium of stressed solids -- 7.6 Surface stress -- 8 Kinetics of homogeneous chemical reactions -- 8.1 Formal kinetics of homogeneous reactions -- 8.1.1 Chemical reaction rate -- 8.1.2 Determination of the reaction order and the rate constant -- 8.1.3 Kinetics of chemical reactions near equilibrium -- 8.1.4 Dependence of the rate constant on temperature -- 8.2 Kinetics of complex reactions -- 8.2.1 Kinetics of consecutive reactions -- 8.2.2 Kinetics of parallel reactions -- 8.2.3 Kinetics of chain reactions -- 9 Thermodynamics of irreversible processes -- 9.1 Onsager's first postulate -- 9.2 Onsager's second postulate -- 9.3 Thermodynamic forces for the transport of heat and matter -- 9.4 Thermodynamic forces for chemical reactions -- 9.5 Onsager's third postulate-the principle of detailed balance -- 9.6 Redefinition of the thermodynamic force -- 9.7 Procedure for the solution of irreversible thermodynamics problems -- 10 Diffusion -- 10.1 Mathematical description of diffusion -- 10.1.1 Fick's first law -- 10.1.2 Fick's second law -- 10.1.3 Several useful solutions of the one-dimensional diffusion equation -- 10.2 Diffusion as a random walk process.

10.3 Diffusion in metals -- 10.3.1 Main experimental results -- 10.3.2 Diffusion mechanisms in metals -- 10.4 Diffusion in amorphous metals -- 10.5 Diffusion in polymers -- 10.6 Diffusion in multiphase systems -- 10.7 Thermal diffusion -- 11 Kinetics of heterogeneous processes -- 12 Introduction to statistical thermodynamics of gases -- 12.1 Gibbs statistics -- 12.2 Statistical thermodynamics of an ideal gas -- 12.2.1 Partition function of an ideal gas -- 12.2.2 Effect of translation motion of gas molecules -- 12.2.3 Energy of diatomic molecules -- 12.2.4 Rotational contributions to thermodynamic functions -- 12.2.5 Vibrational contributions to thermodynamic functions -- 12.2.6 Polyatomic molecular gasses -- 12.2.7 Electronic contributions to thermodynamic functions -- 12.2.8 Maxwell distribution -- 12.2.9 Collisions of gas molecules with a surface -- 12.2.10 Collisions of gas molecules -- 12.2.11 Cross-sections -- 12.3 Statistical theory of chemical reactions -- 12.3.1 Calculation of the equilibrium constant from spectroscopic data -- 12.3.2 Theory of active collisions -- 12.3.3 Theory of the activated complex -- 13 Introduction to statistical thermodynamics of condensed matter -- 13.1 Introduction to liquid theory -- 13.1.1 Correlation functions -- 13.1.2 Determination of thermodynamic properties -- 13.1.3 Equation of state of non-crystalline matter -- 13.1.4 Born-Green-Bogoliubov equation -- 13.2 Theory of non-ideal gases -- 13.2.1 Van der Waals equation of state -- 13.2.2 Critical point -- 13.2.3 Principle of corresponding states -- 13.2.4 Fugacity -- 13.3 Statistical thermodynamics of solids -- 13.3.1 Lattice vibrations -- 13.3.2 Low temperature limit -- 13.3.3 High temperature limit -- 13.3.4 Debye's interpolation -- 13.4 Statistical thermodynamics of solutions -- 13.4.1 Ideal dilute solutions -- 13.4.2 Substitutional solutions.

13.4.3 Interstitial solutions -- 13.4.4 Dilute ionic solutions -- Appendices -- Appendix I: Working with partial derivatives -- Appendix II: Tensors -- Appendix III: Continuity equation -- Appendix IV: Functions erf(z) and F(z) -- Appendix V: Integrals that frequently occur in statistical mechanics -- Example problem solutions -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- J -- K -- L -- M -- N -- O -- P -- R -- S -- T -- U -- V -- W -- Z.