Cover image for Glasses and the glass transition
Title:
Glasses and the glass transition
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Publication Information:
Weinheim : Wiley-VCH Verlag, c2011
Physical Description:
xx, 408 p. : ill. ; 25 cm.
ISBN:
9783527409686
Abstract:
"Written by the best researchers in the field, this up-to-date treatise fills the gap for a high-level work discussing current materials and processes. It covers all the steps involved, from vitrification, relaxation and viscosity, right up to the prediction of glass properties, paving the way for improved methods and applications. For solid state physicists and chemists, materials scientists, and those working in the ceramics industry."--Publisher description.
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Summary

Summary

Written by renowned researchers in the field, this up-to-date treatise fills the gap for a high-level work discussing current materials and processes. It covers all the steps involved, from vitrification, relaxation and viscosity, right up to the prediction of glass properties, paving the way for improved methods and applications.
For solid state physicists and chemists, materials scientists, and those working in the ceramics industry.

With a preface by L. David Pye and a foreword by Edgar D. Zanotto


Author Notes

Jrn W. P. Schmelzer studied theoretical physics at the Universities of Odessa (Ukraine) and Rostock (Germany). He taught this discipline for many years at the Universities of Rostock and Addis Ababa (Ethiopia). Since 1995, he has been working simultaneously at the Joint Institute for Nuclear Research in Dubna near Moscow, organizing there since 1997 international research workshops on the theory of phase transitions and possible applications, in particular to materials science. In 2009, Dr. Schmelzer was awarded the Marin Drinov Medal of the Bulgarian Academy of Sciences for his longstanding cooperation with Bulgarian scientists, the present book being one of the results ofthisfruitful work.
Ivan S. Cutzow has been working at the Institute of Physical Chemistry of the Bulgarian Academy of Sciences (BAS), Sofia, since his graduation. In 1998, he founded there and headed till 2004 the Department of Amorphous Materials. He has been a Full Member of BAS since 2003. Simultaneously, he worked as a lecturer at universities in Bulgaria, Germany, the USA, and Brazil. Professor Gutzow's scientific interests focus on structure, thermodynamics and crystallization of glass-forming systems. He described nucleation in glasses as a non-stationary process, developed methods of nucleation catalysis and synthesis of glass-ceramics, and formulated glass transition models; based on thermodynamics of irreversible processes.
In 2002, Professor Gutzow was awarded the Alexander von Humboldt Research Prize (Germany).


Table of Contents

Jürn W. P. Schmelzer and Ivan S. GutzowIvan S. Gutzow and Jürn W. P. SchmelzerJürn W. P. Schmelzer and Ivan S. GutzowJürn W. P. SchmelzerIvan S. Gutzow and Boris P. Petroff and Snejana V. Todorova and Jürn W. P. SchmelzerOleg V. MazurinAlexander I. PrivenIvan S. Gutzow and Snejana V. TodorovaIvan S. Gutzow and Jurn W. P. SchmelzerIvan S. Gutzow
Forewordp. V
Prefacep. XVII
Contributorsp. XIX
1 Introductionp. 1
2 Basic Properties and the Nature of Glasses: an Overviewp. 9
2.1 Glasses: First Attempts at a Classificationp. 9
2.2 Basic Thermodynamicsp. 14
2.2.1 The Fundamental Laws of Classical Thermodynamics and Consequencesp. 14
2.2.2 Thermodynamic Evolution Criteria, Stability Conditions and the Thermodynamic Description of NonequiUbrium Statesp. 22
2.2.3 Phases and Phase Transitions: Gibbs's Phase Rule, Ehrenfest's Classification, and the Landau Theoryp. 26
2.3 Crystallization, Glass Transition and Devitrification of Glass-Forming Melts: an Overview of Experimental Resultsp. 36
2.4 The Viscosity of Glass-Jorming Meltsp. 46
2.4.1 Temperature Dependence of the Viscosityp. 46
2.4.2 Significance of Viscosity in the Glass Transitionp. 54
2.4.3 Molecular Properties Connected with the Viscosityp. 57
2.5 Thermodynamic Properties of Glass-Forming Melts and Glasses: Overview on Experimental Resultsp. 59
2.5.1 Heat Capacityp. 59
2.5.2 Temperature Dependence of the Thermodynamic Functions: Simon's Approximationp. 65
2.5.3 Further Methods of Determination of Caloric Properties of Glass-Forming Melts and Glassesp. 74
2.5.4 Change of Mechanical, Optical and Electrical Properties in the Glass Transition Rangep. 76
2.6 Thermodynamic Nature of the Glassy Statep. 82
2.7 Concluding Remarksp. 88
3 Generic Theory of Vitrification of Glass-Forming Meltsp. 91
3.1 Introductionp. 91
3.2 Basic Ideas and Equations of the Thermodynamics of Irreversible Processes and Application to Vitrification and Devitrification Processesp. 95
3.2.1 Basic Assumptionsp. 95
3.2.2 General Thermodynamic Dependenciesp. 96
3.2.3 Application to Vitrification and Devitrification Processesp. 100
3.3 Properties of Glass-Forming Melts: Basic Model Assumptionsp. 103
3.3.1 Kinetics of Relaxationp. 103
3.3.2 Thermodynamic Properties: Generalized Equation of Statep. 105
3.4 Kinetics of Nonisothermal Relaxation as a Model of the Glass Transition: Change of the Thermodynamic Functions in Cyclic Cooling-Heating Processesp. 207
3.4.1 Description of the Cyclic Processes under Considerationp. 107
3.4.2 Temperature Dependence of the Structural Order Parameter in Cyclic Cooling and Heating Processesp. 108
3.4.3 Definition of the Glass Transition Temperature via the Structural Order Parameter: the Bartenev-Ritland Equationp. 110
3.4.4 Structural Order Parameter and Entropy Productionp. 113
3.4.5 Temperature Dependence of Thermodynamic Potentials at Vitrificationp. 115
3.4.5.1 Configurational Contributions to Thermodynamic Functionsp. 115
3.4.5.2 Some Comments on the Value of the Configurational Entropy at Low Temperatures and on the Kauzmann Paradoxp. 112
3.4.6 Cyclic Heating-Cooling Processes: General Resultsp. 113
3.5 The Prigogine-Defay Ratiop. 115
3.5.1 Introductionp. 115
3.5.2 Derivationp. 117
3.5.2.1 General Resultsp. 117
3.5.2.2 Quantitative Estimatesp. 133
3.5.2.3 An Alternative Approach: Jumps of the Thermodynamic Coefficients in Vitrificationp. 135
3.5.3 Comparison with Experimental Datap. 137
3.5.3.1 The Prigogine-Defay Ratiop. 137
3.5.3.2 Change of Young's Modulus in Vitrificationp. 140
3.5.4 Discussionp. 142
3.6 Fictive (Internal) Pressure and Fictive Temperature as Structural Order Parametersp. 143
3.6.1 Brief Overviewp. 143
3.6.2 Model-Independent Definition of Fictive (Internal) Pressure and Fictive Temperaturep. 146
3.7 On the Behavior of the Viscosity and Relaxation Time at Glass Transitionp. 149
3.8 On the Intensity of Thermal Fluctuations in Cooling and Heating of Glass-Forming Systemsp. 152
3.8.1 Introductionp. 152
3.8.2 Glasses as Systems with Frozen-in Thermodynamic Fluctuations: Mueller and Porai-Koshitsp. 153
3.8.3 Final Remarksp. 158
3.9 Results and Discussionp. 158
4 Generic Approach to the Viscosity and the Relaxation Behavior of Glass-Forming Meltsp. 165
4.1 Introductionp. 165
4.2 Pressure Dependence of the Viscosityp. 166
4.2.1 Application of Free Volume Conceptsp. 166
4.2.2 A First Exception: Waterp. 169
4.2.3 Structural Changes of liquids and Their Effect on the Pressure Dependence of the Viscosityp. 172
4.2.4 Discussionp. 173
4.3 Relaxation Laws and Structural Order Parameter Approachp. 174
4.3.1 Basic Equations: Aim of the Analysisp. 174
4.3.2 Analysisp. 175
4.3.3 Discussionp. 177
5 Thermodynamics of Amorphous Solids, Glasses, and Disordered Crystalsp. 179
5.1 Introductionp. 179
5.2 Experimental Evidence on Specific Heats and Change of Caloric Properties in Glasses and in Disordered Solids: Simon's Approximationsp. 182
5.3 Consequences of Simon's Classical Approximation: the ¿ G(T) Coursep. 194
5.4 Change of Kinetic Properties at T g and the Course of the Vitrification Kineticsp. 195
5.5 The Frenkel-Kobeko Postulate in Terms of the Generic Phenomenological Approach and the Derivation of Kinetic and Thermodynamic Invariantsp. 198
5.6 Glass Transitions in Liquid Crystals and Frozen-in Orientational Modes in Crystalsp. 208
5.7 Spectroscopic Determination of Zero-Point Entropies in Molecular Disordered Crystalsp. 212
5.8 Entropy of Mixing in Disordered Crystals, in Spin Glasses and in Simple Oxide Glassesp. 213
5.9 Generalized Experimental Evidence on the Caloric Properties of Typical Glass-Forming Systemsp. 215
5.10 General Conclusionsp. 219
6 Principles and Methods of Collection of Glass Property Data and Analysis of Data Reliabilityp. 223
6.1 Introductionp. 223
6.2 Principles of Data Collection and Presentationp. 225
6.2.1 Main Principles of Data Collectionp. 225
6.2.2 Reasons to Use the Stated Principles of Data Collectionp. 228
6.2.3 Problems in Collecting the Largest Possible Amounts of Glass Property Datap. 230
6.2.4 Main Principles of Data Presentationp. 231
6.3 Analysis of Existing Datap. 232
6.3.1 About the Reliability of Experimental Datap. 232
6.3.2 Analysis of Data on Properties of Binary Systemsp. 233
6.3.2.1 General Features of the Analysisp. 233
6.3.2.2 Some Factors Leading to Gross Errorsp. 237
6.3.2.3 Some Specific Examples of the Statistical Analysis of Experimental Datap. 239
6.3.2.4 What is to Do if the Number of Sources Is Too Small?p. 243
6.4 About the Reliability of the Authors of Publicationsp. 246
6.4.1 The Moral Aspect of the Problemp. 246
6.4.2 An Example of Systematically Unreliable Experimental Datap. 247
6.4.3 Concluding Remarksp. 251
6.5 General Conclusionp. 253
7 Methods of Prediction of Glass Properties from Chemical Compositionsp. 255
7.1 Introduction: 120 Years in Search of a Silver Bulletp. 255
7.2 Principle of Additivity of Glass Propertiesp. 257
7.2.1 Simple Additive Formulaep. 257
7.2.2 Additivity and Linearityp. 258
7.2.3 Deviations from Linearityp. 259
7.3 First Attempts of Simulation of Nonlinear Effectsp. 260
7.3.1 Winkelmann and Schott: Different Partial Coefficients for Different Composition Areasp. 260
7.3.2 Gehlhoff and Thomas: Simulation of Small Effectsp. 260
7.3.3 Gilard and Dubrul: Polynomial Modelsp. 262
7.4 Structural and Chemical Approachesp. 264
7.4.1 Nonlinear Effects and Glass Structurep. 264
7.4.2 Specifics of the Structural Approach to Glass Property Predictionp. 266
7.4.3 First Trials of Application of Structural and Chemical Ideas to the Analysis of Glass Property Datap. 267
7.4.4 Evaluation of the Contribution of Boron Oxide to Glass Propertiesp. 267
7.4.4.1 Model by Huggins and Sunp. 268
7.4.4.2 Models by Appen and Demkinap. 268
7.4.5 Use of Other Structural Characteristics in Appen's and DemMha's Modelsp. 271
7.4.6 Recalculation of the Chemical Compositions of Glassesp. 272
7.4.7 Use of Atomic Characteristics in Glass and Melt Property Prediction Modelsp. 278
7.4.8 Ab Initio and Other Direct Methods of Simulation of Glass Structure and Propertiesp. 279
7.4.9 Conclusionp. 280
7.5 Simulation of Viscosity of Oxide Glass-Forming Melts in the Twentieth Centuryp. 280
7.5.1 Simulation of Viscosity as a Function of Chemical Composition and Temperaturep. 280
7.5.2 Approaches to Simulation of Concentration Dependencies of Viscosity Characteristicsp. 282
7.5.2.1 Linear Approachp. 282
7.5.2.2 Approach of Mazurin: Summarizing of Effectsp. 283
7.5.2.3 Approach of Lakatos: Redefinition of Variablesp. 284
7.5.2.4 Polynomial Modelsp. 284
7.5.3 Conclusionp. 285
7.6 Simulation of Concentration Dependencies of Glass and Melt Propertie at the Beginning of the Twenty-First Centuryp. 286
7.6.1 Global Glass Property Databases as a Catalyst for Development of Glass Property Modelsp. 286
7.6.2 Linear and Polynomial Modelsp. 286
7.6.3 Calculation of Liquidus Temperature: Neural Network Simulationp. 28!
7.6.4 Approach of the Authorp. 291
7.6.4.1 Backgroundp. 291
7.6.4.2 Modelp. 292
7.6.4.3 Comparison with Previous Modelsp. 294
7.6.4.4 Conclusionp. 296
7.6.5 Fluegel: a Global Model as a Combination of Local Modelsp. 296
7.6.6 Integrated Approach: Evaluation of the Most Probable Property Values and Their Errors by Using all Available Models and Large Arrays of Datap. 297
7.7 Simulation of Concentration Dependencies of Glass Properties in Nonoxide Systemsp. 299
7.8 Summary: Which Models Were Successful in the Past?p. 301
7.9 Instead of a Conclusion: How to Catch a Bluebirdp. 306
8 Glasses as Accumulators of Free Energy and Other Unusual Applications of Glassesp. 311
8.1 Introductionp. 311
8.2 Ways to Describe the Glass Transition, the Properties of Glasses and of Defect Crystals: a Recapitulationp. 313
8.3 Simon's Approximation, the Thermodynamic Structural Factor, the Kinetic Fragility of liquids and the Thermodynamic Properties of Defect Crystalsp. 318
8.4 The Energy, Accumulated in Glasses and Defect Crystals: Simple Geometric Estimates of Frozen-in Entropy and Enthalpyp. 324
8.4.1 Enthalpy Accumulated at the Glass Transitionsp. 324
8.4.2 Free Energy Accumulated at the Glass Transition and in Defect Crystalsp. 327
8.5 Three Direct Ways to liberate the Energy, Frozen-in in Glasses: Crystallization, Dissolution and Chemical Reactionsp. 332
8.5.1 Solubility of Glasses and Its Significance in Crystal Synthesis and in the Thermodynamics of Vitreous Statesp. 332
8.5.2 The Increased Reactivity of Glasses and the Kinetics of Chemical Reactions Involving Vitreous Solidsp. 339
8.6 The Fourth Possibility to Release the Energy of Glass: the Glass/Crystal Galvanic Cellp. 340
8.7 Thermoelectric Driving Force at Metallic Glass/Crystal Contacts: the Seebeck and the Peltier Effectsp. 344
8.8 Unusual Methods of Formation of Glasses in Nature and Their Technical Significance
8.8.1 Introductory Remarksp. 348
8.8.2 Agriglasses, Glasses as Nuclear Waste Forms and Possible Medical Applications of Dissolving Organic Glassesp. 350
8.8.3 Glasses as Amorphous Battery Electrodes, as Battery Electrolytes and as Battery Membranesp. 352
8.8.4 Photoeffects in Amorphous Solids and the Conductivity of Glassesp. 353
8.9 Some Conclusions and a Discussion of Results and Possibilitiesp. 354
9 Glasses and the Third Law of Thermodynamicsp. 357
9.1 Introductionp. 357
9.2 A Brief Historical Recollectionp. 360
9.3 The Classical Thermodynamic Approachp. 363
9.4 Nonequilibrium States and Classical Thermodynamic Treatmentp. 366
9.5 Zero-Point Entropy of Glasses and Defect Crystals: Calculations and Structural Dependencep. 368
9.6 Thermodynamic and Kinetic Invariants of the Glass Transitionp. 369
9.7 Experimental Verification of the Existence of Frozen-in Entropiesp. 371
9.8 Principle of Thermodynamic Correspondence and Zero-Point Entropy Calculationsp. 376
9.9 A Recapitulation: the Third Principle of Thermodynamics in Nonequilibrium Statesp. 377
10 On the Etymology of the Word "Glass" in European Languages and Some Final Remarksp. 379
10.1 Introductory Remarksp. 379
10.2 "Sirsu", "Shvistras", "Hyalos","Vitrum", "Glaes", "Staklo", "Cam"p. 380
10.3 "Vitreous", "Glassy" and "Glasartig", "Vitro-crystalline"p. 382
10.4 Glasses in Byzantium, in Western Europe, in Venice, in the Balkans and Several Other Issuesp. 384
10.5 Concluding Remarksp. 385
Referencesp. 387
Indexp. 407