Thermodynamic Modeling of Solid Phases [Hardcover]

This book offers advanced students, in 7 volumes, successively characterization tools phases, the study of all types of phase, liquid, gas and solid, pure or multi-component, process engineering, chemical and electrochemical equilibria, the properties of surfaces and phases of small sizes. Macroscopic and microscopic models are in turn covered with a constant correlation between the two scales. Particular attention is given to the rigor of mathematical developments.  This book focuses on solid phases.

PREFACE ix

NOTATIONS AND SYMBOLS xiii

CHAPTER 1. PURE CRYSTALLINE SOLIDS 1

1.1. Characteristic values of a solid 1

1.2. Effect of stress and Young’s modulus 2

1.3. Microscopic description of crystalline solids 4

1.4. Partition function of vibration of a solid 5

1.4.1. Einstein’s single-frequency model 5

1.4.2. Debye’s frequency distribution model 6

1.4.3. Models with more complex frequency distributions 9

1.5. Description of atomic solids 10

1.5.1. Canonical partition function of an atomic solid 10

1.5.2. Helmholtz energy and internal energy of an atomic solid 11

1.6. Description of molecular solids 13

1.6.1. Partition function of molecular crystals 13

1.6.2. Thermodynamic functions of molecular solids 14

1.7. Description of an ionic solid 15

1.7.1. Crosslink energy of an ionic solid 15

1.7.2. Born/Haber cycle 22

1.7.3. Vibrational partition function and internal energy of an ionic solid 23

1.8. Description of a metallic solid 26

1.8.1. Sommerfeld’s electron perfect gas model 27