{"product_id":"thermodynamic-modeling-of-solid-phases-hardback-9781848218666","title":"Thermodynamic Modeling of Solid Phases (Hardback) 9781848218666","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eThermodynamic Modeling of Solid Phases\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cfont size=\"4\"\u003eMichel Soustelle (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781848218666, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 22 September 2015\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e272 pages\u003cbr\u003e24.1 x 16.5 x 2.3 cm, 0.553 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003e\u003cp\u003eThis 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.\u003c\/p\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cp\u003ePREFACE ix\u003c\/p\u003e \u003cp\u003eNOTATIONS AND SYMBOLS xiii\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 1. PURE CRYSTALLINE SOLIDS 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1. Characteristic values of a solid 1\u003c\/p\u003e \u003cp\u003e1.2. Effect of stress and Young’s modulus 2\u003c\/p\u003e \u003cp\u003e1.3. Microscopic description of crystalline solids 4\u003c\/p\u003e \u003cp\u003e1.4. Partition function of vibration of a solid 5\u003c\/p\u003e \u003cp\u003e1.4.1. Einstein’s single-frequency model 5\u003c\/p\u003e \u003cp\u003e1.4.2. Debye’s frequency distribution model 6\u003c\/p\u003e \u003cp\u003e1.4.3. Models with more complex frequency distributions 9\u003c\/p\u003e \u003cp\u003e1.5. Description of atomic solids 10\u003c\/p\u003e \u003cp\u003e1.5.1. Canonical partition function of an atomic solid 10\u003c\/p\u003e \u003cp\u003e1.5.2. Helmholtz energy and internal energy of an atomic solid 11\u003c\/p\u003e \u003cp\u003e1.6. Description of molecular solids 13\u003c\/p\u003e \u003cp\u003e1.6.1. Partition function of molecular crystals 13\u003c\/p\u003e \u003cp\u003e1.6.2. Thermodynamic functions of molecular solids 14\u003c\/p\u003e \u003cp\u003e1.7. Description of an ionic solid 15\u003c\/p\u003e \u003cp\u003e1.7.1. Crosslink energy of an ionic solid 15\u003c\/p\u003e \u003cp\u003e1.7.2. Born\/Haber cycle 22\u003c\/p\u003e \u003cp\u003e1.7.3. Vibrational partition function and internal energy of an ionic solid 23\u003c\/p\u003e \u003cp\u003e1.8. Description of a metallic solid 26\u003c\/p\u003e \u003cp\u003e1.8.1. Sommerfeld’s electron perfect gas model 27\u003c\/p\u003e \u003cp\u003e1.8.2. The metallic bond and band theory 37\u003c\/p\u003e \u003cp\u003e1.9. Molar specific heat capacities of crystalline solids 46\u003c\/p\u003e \u003cp\u003e1.9.1. Contribution of the vibrational energy to the specific heat capacity at constant volume 46\u003c\/p\u003e \u003cp\u003e1.9.2. Specific heat capacity of an atomic solid at constant volume 50\u003c\/p\u003e \u003cp\u003e1.9.3. Specific heat capacity of a molecularor ionic-solid at constant volume 54\u003c\/p\u003e \u003cp\u003e1.9.4. Conclusion as to the specific heat capacity of a crystalline solid 54\u003c\/p\u003e \u003cp\u003e1.10. Thermal expansion of solids 55\u003c\/p\u003e \u003cp\u003e1.10.1. Expansion coefficients 55\u003c\/p\u003e \u003cp\u003e1.10.2. Origin of thermal expansion in solids 58\u003c\/p\u003e \u003cp\u003e1.10.3. Quantum treatment of thermal expansion. Grüneisen parameter 62\u003c\/p\u003e \u003cp\u003e1.10.4. Expansion coefficient of metals 68\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 2. SOLID SOLUTIONS 71\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1. Families of solid solutions 71\u003c\/p\u003e \u003cp\u003e2.1.1. Substitutional solid solutions 72\u003c\/p\u003e \u003cp\u003e2.1.2. Insertion solid solution 75\u003c\/p\u003e \u003cp\u003e2.2. Order in solid solutions 82\u003c\/p\u003e \u003cp\u003e2.2.1. Short-distance order 83\u003c\/p\u003e \u003cp\u003e2.2.2. Long-distance order 87\u003c\/p\u003e \u003cp\u003e2.3. Thermodynamic models of solid solutions 94\u003c\/p\u003e \u003cp\u003e2.3.1. Determination of the Gibbs energy of mixing 94\u003c\/p\u003e \u003cp\u003e2.3.2. The microscopic model of the perfect solution 100\u003c\/p\u003e \u003cp\u003e2.3.3. Microscopic model of strictly-regular solutions 102\u003c\/p\u003e \u003cp\u003e2.3.4. Microscopic model of the ideal dilute solution 104\u003c\/p\u003e \u003cp\u003e2.3.5. Fowler and Guggenheim’s quasi-chemical model of the solution 106\u003c\/p\u003e \u003cp\u003e2.4. Thermodynamic study of the degree of order of an alloy 111\u003c\/p\u003e \u003cp\u003e2.4.1. Hypotheses of the model: configuration energy 112\u003c\/p\u003e \u003cp\u003e2.4.2. Expression of the configuration partition function 113\u003c\/p\u003e \u003cp\u003e2.4.3. The Gorsky, Bragg and Williams model 114\u003c\/p\u003e \u003cp\u003e2.4.4. The quasi-chemical model 120\u003c\/p\u003e \u003cp\u003e2.4.5. Comparison of the models against experimental results 127\u003c\/p\u003e \u003cp\u003e2.5. Determination of the activity of a component of a solid solution 132\u003c\/p\u003e \u003cp\u003e2.5.1. Methods common to solid solutions and liquid solutions 134\u003c\/p\u003e \u003cp\u003e2.5.2. Methods specific to solid solutions 140\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 3. NON-STOICHIOMETRY IN SOLIDS 147\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1. Structure elements of a solid 147\u003c\/p\u003e \u003cp\u003e3.1.1. Definition 148\u003c\/p\u003e \u003cp\u003e3.1.2. Symbolic representation of structure elements 149\u003c\/p\u003e \u003cp\u003e3.1.3. Building unit of a solid 151\u003c\/p\u003e \u003cp\u003e3.1.4. Description and composition of a solid 151\u003c\/p\u003e \u003cp\u003e3.2. Quasi-chemical reactions in solids 153\u003c\/p\u003e \u003cp\u003e3.2.1. Definition and characteristics of a quasi-chemical reaction between structure elements 153\u003c\/p\u003e \u003cp\u003e3.2.2. Homogeneous quasi-chemical reactions in the solid phase 156\u003c\/p\u003e \u003cp\u003e3.2.3. Inter-phase reactions 158\u003c\/p\u003e \u003cp\u003e3.3. Equilibrium states between structure elements in solids 158\u003c\/p\u003e \u003cp\u003e3.4. Thermodynamics of structure elements in unary solids 159\u003c\/p\u003e \u003cp\u003e3.4.1. Structure elements of a unary solid 159\u003c\/p\u003e \u003cp\u003e3.4.2. Global equilibrium of an isolated crystal – influence of temperature 162\u003c\/p\u003e \u003cp\u003e3.5. Thermodynamics of structure elements in stoichiometric binary solids 165\u003c\/p\u003e \u003cp\u003e3.5.1. Symmetrical disorders in stoichiometric binary solids 166\u003c\/p\u003e \u003cp\u003e3.5.2. Asymmetrical disorders in stoichiometric binary solids167\u003c\/p\u003e \u003cp\u003e3.6. Thermodynamics of structure elements in non-stoichiometric binary solids 169\u003c\/p\u003e \u003cp\u003e3.6.1. Deviations from stoichiometry and point defects 169\u003c\/p\u003e \u003cp\u003e3.6.2. The predominant defect method – the Wagner classification 171\u003c\/p\u003e \u003cp\u003e3.6.3. Equilibrium of a Wagner solid with one of its gaseous elements 174\u003c\/p\u003e \u003cp\u003e3.6.4. General equilibrium of a non-stoichiometric binary solid with one of its gaseous elements 175\u003c\/p\u003e \u003cp\u003e3.7. Representation of complex solids – example of metal oxy-hydroxides 180\u003c\/p\u003e \u003cp\u003e3.7.1. The pseudo-binary approximation 180\u003c\/p\u003e \u003cp\u003e3.7.2. The predominant-defect generalization 180\u003c\/p\u003e \u003cp\u003e3.8. Determination of the equilibrium constants of the reactions involving structure elements 181\u003c\/p\u003e \u003cp\u003e3.8.1. Recap on calculating the equilibrium constants using statistical thermodynamics 182\u003c\/p\u003e \u003cp\u003e3.8.2. Examination of the pre-exponential term in the quasi-chemical equilibrium constants 184\u003c\/p\u003e \u003cp\u003e3.8.3. Determination of the internal energy of transformation of quasi-chemical reactions 187\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 4. SOLID SOLUTIONS AND STRUCTURE ELEMENTS 195\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1. Ionic solid solutions 195\u003c\/p\u003e \u003cp\u003e4.1.1. Introduction of foreign elements into stoichiometric binary solids 197\u003c\/p\u003e \u003cp\u003e4.1.2. Influence of foreign elements introduced into a non-stoichiometric binary solid 200\u003c\/p\u003e \u003cp\u003e4.2. Thermodynamics of equilibria between water vapor and saline hydrates: non-stoichiometric hydrates 204\u003c\/p\u003e \u003cp\u003e4.2.1. Experimental demonstration of non-stoichiometry of a hydrate 204\u003c\/p\u003e \u003cp\u003e4.2.2. Equilibria between stoichiometric hydrates 207\u003c\/p\u003e \u003cp\u003e4.2.3. Equilibrium reactions in non-stoichiometric hydrates 207\u003c\/p\u003e \u003cp\u003e4.2.4. The limits of the domains of divariance 213\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAPPENDICES 217\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eAPPENDIX 1. THE LAGRANGE MULTIPLIER METHOD 219\u003c\/p\u003e \u003cp\u003eAPPENDIX 2. SOLVING SCHRÖDINGER’S EQUATION 223\u003c\/p\u003e \u003cp\u003eBIBLIOGRAPHY 227\u003c\/p\u003e \u003cp\u003eINDEX 231\u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Chemistry [\u003ca title=\"See our other books on Chemistry\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Chemistry%20%5BPN%5D%22\"\u003ePN\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Wiley-ISTE","offers":[{"title":"Brand New","offer_id":52449399013656,"sku":"9781848218666","price":100.57,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781848218666.jpg?v=1785198101","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/thermodynamic-modeling-of-solid-phases-hardback-9781848218666","provider":"Freshly Printed Books","version":"1.0","type":"link"}