{"product_id":"an-introduction-to-applied-statistical-thermodynamics-paperback-softback-9780470913475","title":"An Introduction to Applied Statistical Thermodynamics (Paperback \/ softback) 9780470913475","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eAn Introduction to Applied Statistical Thermodynamics\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\"\u003eStanley I. Sandler (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780470913475, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 10 December 2010\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e368 pages\u003cbr\u003e25.2 x 20.1 x 1.8 cm, 0.658 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\"\u003eWith the present emphasis on nano and bio technologies, molecular level descriptions and understandings offered by statistical mechanics are of increasing interest and importance. This text emphasizes how statistical thermodynamics is and can be used by chemical engineers and physical chemists. The text shows readers the path from molecular level approximations to the applied, macroscopic thermodynamic models engineers use, and introduces them to molecular-level computer simulation.  \u003cp\u003eReaders of this book will develop an appreciation for the beauty and utility of statistical mechanics.\u003c\/p\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cp\u003ePREFACE FOR INSTRUCTORS v\u003cbr\u003ePREFACE FOR STUDENTS ix\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 1 INTRODUCTION TO STATISTICAL THERMODYNAMICS 1\u003c\/b\u003e\u003cbr\u003e1.1 Probabilistic Description 1\u003cbr\u003e1.2 Macroscopic States and Microscopic States 2\u003cbr\u003e1.3 Quantum Mechanical Description of Microstates 3\u003cbr\u003e1.4 The Postulates of Statistical Mechanics 5\u003cbr\u003e1.5 The Boltzmann Energy Distribution 6\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 2 THE CANONICAL PARTITION FUNCTION 9\u003c\/b\u003e\u003cbr\u003e2.1 Some Properties of the Canonical Partition Function 9\u003cbr\u003e2.2 Relationship of the Canonical Partition Function to Thermodynamic Properties 11\u003cbr\u003e2.3 Canonical Partition Function for a Molecule with Several Independent Energy Modes 12\u003cbr\u003e2.4 Canonical Partition Function for a Collection of Noninteracting Identical Atoms 13\u003cbr\u003eChapter 2 Problems 15\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 3 THE IDEAL MONATOMIC GAS 16\u003c\/b\u003e\u003cbr\u003e3.1 Canonical Partition Function for the Ideal Monatomic Gas 16\u003cbr\u003e3.2 Identification of β as 1\/kT 18\u003cbr\u003e3.3 General Relationships of the Canonical Partition Function to Other Thermodynamic Quantities 19\u003cbr\u003e3.4 The Thermodynamic Properties of the Ideal Monatomic Gas 22\u003cbr\u003e3.5 Energy Fluctuations in the Canonical Ensemble 29\u003cbr\u003e3.6 The Gibbs Entropy Equation 33\u003cbr\u003e3.7 Translational State Degeneracy 35\u003cbr\u003e3.8 Distinguishability, Indistinguishability, and the Gibbs’ Paradox 37\u003cbr\u003e3.9 A Classical Mechanics–Quantum Mechanics Comparison: The Maxwell-Boltzmann Distribution of Velocities 39\u003cbr\u003eChapter 3 Problems 42\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 4 THE IDEAL DIATOMIC AND POLYATOMIC GASES 44\u003c\/b\u003e\u003cbr\u003e4.1 The Partition Function for an Ideal Diatomic Gas 44\u003cbr\u003e4.1a The Translational and Nuclear Partition Functions 45\u003cbr\u003e4.1b The Rotational Partition Function 45\u003cbr\u003e4.1c The Vibrational Partition Function 47\u003cbr\u003e4.1d The Electronic Partition Function 48\u003cbr\u003e4.2 The Thermodynamic Properties of the Ideal Diatomic Gas 49\u003cbr\u003e4.3 The Partition Function for an Ideal Polyatomic Gas 53\u003cbr\u003e4.4 The Thermodynamic Properties of an Ideal Polyatomic Gas 55\u003cbr\u003e4.5 The Heat Capacities of Ideal Gases 58\u003cbr\u003e4.6 Normal Mode Analysis: The Vibrations of a Linear Triatomic Molecule 59\u003cbr\u003eChapter 4 Problems 62\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 5 CHEMICAL REACTIONS IN IDEAL GASES 64\u003c\/b\u003e\u003cbr\u003e5.1 The Nonreacting Ideal Gas Mixture 64\u003cbr\u003e5.2 Partition Function of a Reacting Ideal Chemical Mixture 65\u003cbr\u003e5.3 Three Different Derivations of the Chemical Equilibrium Constant in an Ideal Gas Mixture 67\u003cbr\u003e5.4 Fluctuations in a Chemically Reacting System 70\u003cbr\u003e5.5 The Chemically Reacting Gas Mixture: The General Case 73\u003cbr\u003e5.6 Two Illustrations 80\u003cbr\u003eAppendix: The Binomial Expansion 83\u003cbr\u003eChapter 5 Problems 85\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 6 OTHER PARTITION FUNCTIONS 87\u003c\/b\u003e\u003cbr\u003e6.1 The Microcanonical Ensemble for a Pure Fluid 87\u003cbr\u003e6.2 The Grand Canonical Ensemble for a Pure Fluid 89\u003cbr\u003e6.3 The Isobaric-Isothermal Ensemble 92\u003cbr\u003e6.4 The Restricted Grand or Semi-Grand Canonical Ensemble 93\u003cbr\u003e6.5 Comments on the Use of Different Ensembles 94\u003cbr\u003eChapter 6 Problems 96\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 7 INTERACTING MOLECULES IN A GAS 98\u003c\/b\u003e\u003cbr\u003e7.1 The Configuration Integral 98\u003cbr\u003e7.2 Thermodynamic Properties from the Configuration Integral 100\u003cbr\u003e7.3 The Pairwise Additivity Assumption 101\u003cbr\u003e7.4 Mayer Cluster Function and Irreducible Integrals 102\u003cbr\u003e7.5 The Virial Equation of State 109\u003cbr\u003e7.6 Virial Equation of State for Polyatomic Molecules 114\u003cbr\u003e7.7 Thermodynamic Properties from the Virial Equation of State 116\u003cbr\u003e7.8 Derivation of Virial Coefficient Formulae from the Grand Canonical Ensemble 118\u003cbr\u003e7.9 Range of Applicability of the Virial Equation 123\u003cbr\u003eChapter 7 Problems 124\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 8 INTERMOLECULAR POTENTIALS AND THE EVALUATION OF THE SECOND VIRIAL COEFFICIENT 125\u003c\/b\u003e\u003cbr\u003e8.1 Interaction Potentials for Spherical Molecules 125\u003cbr\u003e8.2 The Second Virial Coefficient in a Mixture: Interaction Potentials Between Unlike Atoms 136\u003cbr\u003e8.3 Interaction Potentials for Multiatom, Nonspherical Molecules, Proteins, and Colloids 137\u003cbr\u003e8.4 Engineering Applications and Implications of the Virial Equation of State 140\u003cbr\u003eChapter 8 Problems 144\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 9 MONATOMIC CRYSTALS 147\u003c\/b\u003e\u003cbr\u003e9.1 The Einstein Model of a Crystal 147\u003cbr\u003e9.2 The Debye Model of a Crystal 150\u003cbr\u003e9.3 Test of the Einstein and Debye Heat Capacity Models for a Crystal 157\u003cbr\u003e9.4 Sublimation Pressure and Enthalpy of Crystals 159\u003cbr\u003e9.5 A Comment on the Third Law of Thermodynamics 161\u003cbr\u003eChapter 9 Problems 161\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 10 SIMPLE LATTICE MODELS FOR FLUIDS 163\u003c\/b\u003e\u003cbr\u003e10.1 Introduction 164\u003cbr\u003e10.2 Development of Equations of State from Lattice Theory 165\u003cbr\u003e10.3 Activity Coefficient Models for Similar-Size Molecules from Lattice Theory 168\u003cbr\u003e10.4 The Flory-Huggins and Other Models for Polymer Systems 172\u003cbr\u003e10.5 The Ising Model 178\u003cbr\u003eChapter 10 Problems 184\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 11 INTERACTING MOLECULES IN A DENSE FLUID. CONFIGURATIONAL DISTRIBUTION FUNCTIONS 185\u003c\/b\u003e\u003cbr\u003e11.1 Reduced Spatial Probability Density Functions 185\u003cbr\u003e11.2 Thermodynamic Properties from the Pair Correlation Function 190\u003cbr\u003e11.3 The Pair Correlation Function (Radial Distribution Function) at Low Density 194\u003cbr\u003e11.4 Methods of Determination of the Pair Correlation Function at High Density 197\u003cbr\u003e11.5 Fluctuations in the Number of Particles and the Compressibility Equation 199\u003cbr\u003e11.6 Determination of the Radial Distribution Function of Fluids using Coherent X-ray or Neutron Diffraction 202\u003cbr\u003e11.7 Determination of the Radial Distribution Functions of Molecular Liquids 210\u003cbr\u003e11.8 Determination of the Coordination Number from the Radial Distribution Function 211\u003cbr\u003e11.9 Determination of the Radial Distribution Function of Colloids and Proteins 213\u003cbr\u003eChapter 11 Problems 214\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 12 INTEGRAL EQUATION THEORIES FOR THE RADIAL DISTRIBUTION FUNCTION 216\u003c\/b\u003e\u003cbr\u003e12.1 The Yvon-Born-Green (YBG) Equation 216\u003cbr\u003e12.2 The Kirkwood Superposition Approximation 219\u003cbr\u003e12.3 The Ornstein-Zernike Equation 220\u003cbr\u003e12.4 Closures for the Ornstein-Zernike Equation 222\u003cbr\u003e12.5 The Percus-Yevick Hard-Sphere Equation of State 227\u003cbr\u003e12.6 The Radial Distribution Functions and Thermodynamic Properties of Mixtures 228\u003cbr\u003e12.7 The Potential of Mean Force 230\u003cbr\u003e12.8 Osmotic Pressure and the Potential of Mean Force for Protein and Colloidal Solutions 237\u003cbr\u003eChapter 12 Problems 239\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 13 DETERMINATION OF THE RADIAL DISTRIBUTION FUNCTION AND FLUID PROPERTIES BY COMPUTER SIMULATION 241\u003c\/b\u003e\u003cbr\u003e13.1 Introduction to Molecular Level Computer Simulation 242\u003cbr\u003e13.2 Thermodynamic Properties from Molecular Simulation 245\u003cbr\u003e13.3 Monte Carlo Simulation 249\u003cbr\u003e13.4 Molecular-Dynamics Simulation 253\u003cbr\u003eChapter 13 Problems 255\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 14 PERTURBATION THEORY 257\u003c\/b\u003e\u003cbr\u003e14.1 Perturbation Theory for the Square-Well Potential 257\u003cbr\u003e14.2 First Order Barker-Henderson Perturbation Theory 262\u003cbr\u003e14.3 Second-Order Perturbation Theory 265\u003cbr\u003e14.4 Perturbation Theory Using Other Reference Potentials 269\u003cbr\u003e14.5 Engineering Applications of Perturbation Theory 272\u003cbr\u003eChapter 14 Problems 274\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 15 A THEORY OF DILUTE ELECTROLYTE SOLUTIONS AND IONIZED GASES 276\u003c\/b\u003e\u003cbr\u003e15.1 Solutions Containing Ions (and Electrons) 276\u003cbr\u003e15.2 Debye-Huckel Theory 280\u003cbr\u003e15.3 The Mean Ionic Activity Coefficient 291\u003cbr\u003eChapter 15 Problems 296\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCHAPTER 16 THE DERIVATION OF THERMODYNAMIC MODELS FROM THE GENERALIZED VAN DER WAALS PARTITION FUNCTION 297\u003cbr\u003e\u003c\/b\u003e16.1 The Statistical-Mechanical Background 298\u003cbr\u003e16.2 Application of the Generalized van der Waals Partition Function to Pure Fluids 301\u003cbr\u003e16.3 Equation of State for Mixtures from the Generalized van der Waals Partition Function 310\u003cbr\u003e16.4 Activity Coefficient Models from the Generalized van der Waals Partition Function 318\u003cbr\u003e16.5 Chain Molecules and Polymers 329\u003cbr\u003e16.6 Hydrogen-Bonding and Associating Fluids 332\u003cbr\u003eChapter 16 Problems 334\u003c\/p\u003e \u003cp\u003eINDEX 335\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","offers":[{"title":"Brand New","offer_id":52278117761304,"sku":"9780470913475","price":115.78,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9780470913475.jpg?v=1781458413","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/an-introduction-to-applied-statistical-thermodynamics-paperback-softback-9780470913475","provider":"Freshly Printed Books","version":"1.0","type":"link"}