MOLECULAR THEORY OF SOLUTIONS
NOTATION REGARDING THE MICROSCOPIC DESCRIPTION OF THE SYSTEM THE FUNDAMENTAL RELATIONS BETWEEN STATISTICAL THERMODYNAMICS AND THERMODYNAMICS FLUCTUATIONS AND STABILITY THE CLASSICAL LIMIT OF STATISTICAL THERMODYNAMICS THE IDEAL GAS AND SMALL DEVIATION FROM IDEALITY SUGGESTED REFERENCES ON GENERAL THERMODYNAMICS AND STATISTICAL MECHANICS 2 MOLECULAR DISTRIBUTION FUNCTIONS THE SINGLET DISTRIBUTION FUNCTION THE PAIR DISTRIBUTION FUNCTION THE PAIR CORRELATION FUNCTION CONDITIONAL PROBABILITY AND CONDITIONAL DENSITY SOME GENERAL FEATURES OF THE RADIAL DISTRIBUTION FUNCTION THEORETICAL IDEAL GAS VERY DILUTE GAS SLIGHTLY DENSE GAS LENNARD-JONES PARTICLES AT MODERATELY HIGH DENSITIES MOLECULAR DISTRIBUTION FUNCTIONS IN THE GRAND CANONICAL ENSEMBLE GENERALIZED MOLECULAR DISTRIBUTION FUNCTIONS THE SINGLET GENERALIZED MOLECULAR DISTRIBUTION FUNCTION COORDINATION NUMBER BINDING ENERGY VOLUME OF THE VORONOI POLYHEDRON COMBINATION OF PROPERTIES POTENTIAL OF MEAN FORCE MOLECULAR DISTRIBUTION FUNCTIONS IN MIXTURES POTENTIAL OF MEAN FORCE IN MIXTURES 3 THERMODYNAMIC QUANTITIES EXPRESSED IN TERMS OF MOLECULAR DISTRIBUTION FUNCTIONS AVERAGE VALUES OF PAIRWISE QUANTITIES INTERNAL ENERGY THE PRESSURE EQUATION THE CHEMICAL POTENTIAL INTRODUCTION INSERTION OF ONE PARTICLE INTO THE SYSTEM CONTINUOUS COUPLING OF THE BINDING ENERGY INSERTION OF A PARTICLE AT A FIXED POSITION: THE PSEUDO- CHEMICAL POTENTIAL BUILDING UP THE DENSITY OF THE SYSTEM SOME GENERALIZATIONS FIRST-ORDER EXPANSION OF THE COUPLING WORK THE COMPRESSIBILITY EQUATION RELATIONS BETWEEN THERMODYNAMIC QUANTITIES AND GENERALIZED MOLECULAR DISTRIBUTION FUNCTIONS 4 THE KIRKWOOD–BUFF THEORY OF SOLUTIONS GENERAL DERIVATION OF THE KIRKWOOD–BUFF THEORY TWO-COMPONENT SYSTEMS INVERSION OF THE KIRKWOOD–BUFF THEORY THREE-COMPONENT SYSTEMS DILUTE SYSTEM OF S IN A AND B APPLICATION OF THE KB THEORY TO ELECTROLYTE SOLUTIONS 5 IDEAL SOLUTIONS IDEAL-GAS MIXTURES SYMMETRICAL IDEAL SOLUTIONS VERY SIMILAR COMPONENTS: A SUFFICIENT CONDITION FOR SI SOLUTIONS SIMILAR COMPONENTS: A NECESSARY AND SUFFICIENT CONDITION FOR SI SOLUTIONS DILUTE IDEAL SOLUTIONS SUMMARY 6 DEVIATIONS FROM IDEAL SOLUTIONS DEVIATIONS FROM IDEAL-GAS MIXTURES DEVIATIONS FROM SI BEHAVIOR DEVIATIONS FROM DILUTE IDEAL SOLUTIONS EXPLICIT EXPRESSIONS FOR THE DEVIATIONS FROM IG, SI, AND DI BEHAVIOR FIRST-ORDER DEVIATIONS FROM IDEAL-GAS MIXTURES ONE-DIMENSIONAL MODEL FOR MIXTURES OF HARD ‘‘SPHERES’’ THE MCMILLAN–MAYER THEORY OF SOLUTIONS STABILITY CONDITION AND MISCIBILITY BASED ON FIRST-ORDER DEVIATIONS FROM SI SOLUTIONS ANALYSIS OF THE STABILITY CONDITION BASED ON THE KIRKWOOD– BUFF THEORY THE TEMPERATURE DEPENDENCE OF THE REGION OF INSTABILITY: UPPER AND LOWER CRITICAL SOLUTION TEMPERATURES 7 SOLVATION THERMODYNAMICS WHY DO WE NEED SOLVATION THERMODYNAMICS? DEFINITION OF THE SOLVATION PROCESS AND THE CORRESPONDING SOLVATION THERMODYNAMICS EXTRACTING THE THERMODYNAMIC QUANTITIES OF SOLVATION FROM EXPERIMENTAL DATA CONVENTIONAL STANDARD GIBBS ENERGY OF SOLUTION AND THE SOLVATION GIBBS ENERGY OTHER THERMODYNAMIC QUANTITIES OF SOLVATION ENTROPY ENTHALPY VOLUME FURTHER RELATIONSHIPS BETWEEN SOLVATION THERMODYNAMICS AND THERMODYNAMIC DATA VERY DILUTE SOLUTIONS OF S IN L CONCENTRATED SOLUTIONS PURE LIQUIDS STEPWISE SOLVATION PROCESSES STEPWISE COUPLING OF THE HARD AND THE SOFT PARTS OF THE POTENTIAL STEPWISE COUPLING OF GROUPS IN A MOLECULE CONDITIONAL SOLVATION AND THE PAIR CORRELATION FUNCTION SOLVATION OF A MOLECULE HAVING INTERNAL ROTATIONAL DEGREES OF FREEDOM SOLVATION OF COMPLETELY DISSOCIABLE SOLUTES SOLVATION IN WATER: PROBING INTO THE STRUCTURE OF WATER DEFINITION OF THE STRUCTURE OF WATER GENERAL RELATIONS BETWEEN SOLVATION THERMODYNAMICS AND THE STRUCTURE OF WATER ISOTOPE EFFECT ON SOLVATION HELMHOLTZ ENERGY AND STRUCTURAL ASPECTS OF AQUEOUS SOLUTIONS SOLVATION AND SOLUBILITY OF GLOBULAR PROTEINS 8 LOCAL COMPOSITION AND PREFERENTIAL SOLVATION DEFINITIONS OF THE LOCAL COMPOSITION AND THE PREFERENTIAL SOLVATION PREFERENTIAL SOLVATION IN THREE-COMPONENT SYSTEMS LOCAL COMPOSITION AND PREFERENTIAL SOLVATION IN TWO-COMPONENT SYSTEMS LOCAL COMPOSITION AND PREFERENTIAL SOLVATION IN ELECTROLYTE SOLUTIONS PREFERENTIAL SOLVATION OF BIOMOLECULES SOME ILLUSTRATIVE EXAMPLES LENNARD-JONES PARTICLES HAVING THE SAME " BUT DIFFERENT DIAMETER LENNARD-JONES PARTICLES WITH THE SAME BUT WITH DIFFERENT " THE SYSTEMS OF ARGON–KRYPTON AND KRYPTON–XENON MIXTURES OF WATER AND ALCOHOLS MIXTURES OF WATER: 1,2-ETHANEDIOL AND WATER–GLYCEROL MIXTURE OF WATER AND ACETONE AQUEOUS MIXTURES OF 1-PROPANOL AND 2-PROPANOL