High Temperature Phase Equilibria And Phase Diagrams

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High Temperature Phase Equilibria and Phase Diagrams

Author : Chu-Kun Kuo
Publisher : Elsevier
ISBN 13 : 1483286738
Total Pages : 249 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis High Temperature Phase Equilibria and Phase Diagrams by : Chu-Kun Kuo

Download or read book High Temperature Phase Equilibria and Phase Diagrams written by Chu-Kun Kuo and published by Elsevier. This book was released on 2017-10-06 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: High temperature phase equilibria studies play an increasingly important role in materials science and engineering. It is especially significant in the research into the properties of the material and the ways in which they can be improved. This is achieved by observing equilibrium and by examining the phase relationships at high temperature. The study of high temperature phase diagrams of nonmetallic systems began in the early 1900s when silica and mineral systems containing silica were focussed upon. Since then technical ceramics emerged and more emphasis has been placed on high temperature studies. This book covers many aspects, from the fundamentals of phase diagrams, experimental and computational methods, applications, to the results of research. It provides an excellent source of information for a range of scientists such as materials scientists, especially ceramicists, metallurgists, solid-state physicists and chemists, and mineralogists.

Phase Equilibria, Phase Diagrams and Phase Transformations

Author : Mats Hillert
Publisher : Cambridge University Press
ISBN 13 : 1139465864
Total Pages : 525 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Phase Equilibria, Phase Diagrams and Phase Transformations by : Mats Hillert

Download or read book Phase Equilibria, Phase Diagrams and Phase Transformations written by Mats Hillert and published by Cambridge University Press. This book was released on 2007-11-22 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational tools allow material scientists to model and analyze increasingly complicated systems to appreciate material behavior. Accurate use and interpretation however, requires a strong understanding of the thermodynamic principles that underpin phase equilibrium, transformation and state. This fully revised and updated edition covers the fundamentals of thermodynamics, with a view to modern computer applications. The theoretical basis of chemical equilibria and chemical changes is covered with an emphasis on the properties of phase diagrams. Starting with the basic principles, discussion moves to systems involving multiple phases. New chapters cover irreversible thermodynamics, extremum principles, and the thermodynamics of surfaces and interfaces. Theoretical descriptions of equilibrium conditions, the state of systems at equilibrium and the changes as equilibrium is reached, are all demonstrated graphically. With illustrative examples - many computer calculated - and worked examples, this textbook is an valuable resource for advanced undergraduates and graduate students in materials science and engineering.

Methods for Phase Diagram Determination

Author : Ji-Cheng Zhao
Publisher : Elsevier
ISBN 13 : 9780080549965
Total Pages : 520 pages
Book Rating : 4.5/5 (499 download)

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Book Synopsis Methods for Phase Diagram Determination by : Ji-Cheng Zhao

Download or read book Methods for Phase Diagram Determination written by Ji-Cheng Zhao and published by Elsevier. This book was released on 2011-05-05 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Phase diagrams are "maps" materials scientists often use to design new materials. They define what compounds and solutions are formed and their respective compositions and amounts when several elements are mixed together under a certain temperature and pressure. This monograph is the most comprehensive reference book on experimental methods for phase diagram determination. It covers a wide range of methods that have been used to determine phase diagrams of metals, ceramics, slags, and hydrides. * Extensive discussion on methodologies of experimental measurements and data assessments * Written by experts around the world, covering both traditional and combinatorial methodologies * A must-read for experimental measurements of phase diagrams

Phase Equilibria Diagrams of High Temperature Non-oxide Ceramics

Author : Zhenkun Huang
Publisher : Springer
ISBN 13 : 9811304637
Total Pages : 166 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Phase Equilibria Diagrams of High Temperature Non-oxide Ceramics by : Zhenkun Huang

Download or read book Phase Equilibria Diagrams of High Temperature Non-oxide Ceramics written by Zhenkun Huang and published by Springer. This book was released on 2018-06-07 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores new experimental phase diagrams of non-oxide ceramics, with a particular focus on the silicon nitride, silicon carbide and aluminum nitride, as well as the ultra-high temperature ceramic (UHTC) systems. It features more than 80 experimental phase diagrams of these non-oxide ceramics, including three phase diagrams of UHTC systems, constructed by the authors. Physical chemistry data covering the period since the 1970s, collected by the author Z.K.Huang, is presented in six tables in the appendixes. It also includes 301 figures involving about 150 material systems. Most of the phase diagrams have been selected from the ACerS-NIST database with copyright permission. The book methodically presents numerous diagrams previously scattered in various journals and conferences worldwide. Providing extensive experimental data, it is a valuable reference resource on ceramics development and design for academic researchers, R&D engineers and graduate students.

Phase Theory

Author : H.A.J. Oonk
Publisher : Elsevier
ISBN 13 : 0444599339
Total Pages : 284 pages
Book Rating : 4.4/5 (445 download)

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Book Synopsis Phase Theory by : H.A.J. Oonk

Download or read book Phase Theory written by H.A.J. Oonk and published by Elsevier. This book was released on 2012-12-02 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies in Modern Thermodynamics, 3: Phase Theory: The Thermodynamics of Heterogeneous Equilibria focuses on the processes, methodologies, principles, and approaches employed in the determination of the thermodynamics of heterogeneous equilibria. The publication first elaborates on thermodynamic background, phase rule, and general relations for binary equilibria. Discussions focus on linear contributions, G-curves and phase diagram, function changes, Clapeyron's equation, derivation of phase rule, pressure and temperature, heat capacity, enthalpy, and Gibbs energy. The manuscript then examines demixing, isothermal liquid-vapor equilibria, isobaric equilibria between two mixed states, and isobaric equilibria between unmixed solid and mixed liquid state. Topics include phase diagrams, pure solid component with liquid mixture, equilibrium between two ideal states, calculation of phase diagrams, and types of phase diagram. The text ponders on the interpretation of TX phase diagrams and retrograde equilibrium curves, including retrograde solubility, regions of demixing, excess parameters, and eutectic systems. The publication is a valuable reference for researchers wanting to dig deeper into the thermodynamics of heterogeneous equilibria.

Introduction to Phase Equilibria in Ceramic Systems

Author : Hummel
Publisher : Routledge
ISBN 13 : 1351436724
Total Pages : 289 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Introduction to Phase Equilibria in Ceramic Systems by : Hummel

Download or read book Introduction to Phase Equilibria in Ceramic Systems written by Hummel and published by Routledge. This book was released on 2018-05-02 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by a leading practitioner and teacher in the field of ceramic science and engineering, this outstanding text provides advanced undergraduate- and graduate-level students with a comprehensive, up-to-date Introduction to Phase Equilibria in Ceramic Systems. Building upon a concise definition of the phase rule, the book logically proceeds from one- and two-component systems through increasingly complex systems, enabling students to utilize the phase rule in real applications. Unique because of its emphasis on phase diagrams, timely because of the rising importance of ceramic applications, practical because of its pedagogical approach, Introduction to Phase Equilibria in Ceramic Systems offers end-of-chapter review problems, extensive reading lists, a solid thermodynamic foundation and clear perspectives on the special properties of ceramics as compared to metals.This authoritative volume fills a broad gap in the literature, helping undergraduate- and graduate-level students of ceramic engineering and materials science to approach this demanding subject in a rational, confident fashion. In addition, Introduction to Phase Equilibria in Ceramic Systems serves as a valuable supplement to undergraduate-level metallurgy programs.

High-Pressure Fluid Phase Equilibria

Author : Ulrich K Deiters
Publisher : Elsevier
ISBN 13 : 0444563547
Total Pages : 363 pages
Book Rating : 4.4/5 (445 download)

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Book Synopsis High-Pressure Fluid Phase Equilibria by : Ulrich K Deiters

Download or read book High-Pressure Fluid Phase Equilibria written by Ulrich K Deiters and published by Elsevier. This book was released on 2012-04-26 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book begins with an overview of the phase diagrams of fluid mixtures (fluid = liquid, gas, or supercritical state), which can show an astonishing variety when elevated pressures are taken into account; phenomena like retrograde condensation (single and double) and azeotropy (normal and double) are discussed. It then gives an introduction into the relevant thermodynamic equations for fluid mixtures, including some that are rarely found in modern textbooks, and shows how they can they be used to compute phase diagrams and related properties. This chapter gives a consistent and axiomatic approach to fluid thermodynamics; it avoids using activity coefficients. Further chapters are dedicated to solid-fluid phase equilibria and global phase diagrams (systematic search for phase diagram classes). The appendix contains numerical algorithms needed for the computations. The book thus enables the reader to create or improve computer programs for the calculation of fluid phase diagrams. introduces phase diagram classes, how to recognize them and identify their characteristic features presents rational nomenclature of binary fluid phase diagrams includes problems and solutions for self-testing, exercises or seminars

Phase Diagrams and Thermodynamic Modeling of Solutions

Author : Arthur D. Pelton
Publisher : Academic Press
ISBN 13 : 0128016698
Total Pages : 401 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Phase Diagrams and Thermodynamic Modeling of Solutions by : Arthur D. Pelton

Download or read book Phase Diagrams and Thermodynamic Modeling of Solutions written by Arthur D. Pelton and published by Academic Press. This book was released on 2018-09-19 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Phase Diagrams and Thermodynamic Modeling of Solutions provides readers with an understanding of thermodynamics and phase equilibria that is required to make full and efficient use of these tools. The book systematically discusses phase diagrams of all types, the thermodynamics behind them, their calculations from thermodynamic databases, and the structural models of solutions used in the development of these databases. Featuring examples from a wide range of systems including metals, salts, ceramics, refractories, and concentrated aqueous solutions, Phase Diagrams and Thermodynamic Modeling of Solutions is a vital resource for researchers and developers in materials science, metallurgy, combustion and energy, corrosion engineering, environmental engineering, geology, glass technology, nuclear engineering, and other fields of inorganic chemical and materials science and engineering. Additionally, experts involved in developing thermodynamic databases will find a comprehensive reference text of current solution models. Presents a rigorous and complete development of thermodynamics for readers who already have a basic understanding of chemical thermodynamics Provides an in-depth understanding of phase equilibria Includes information that can be used as a text for graduate courses on thermodynamics and phase diagrams, or on solution modeling Covers several types of phase diagrams (paraequilibrium, solidus projections, first-melting projections, Scheil diagrams, enthalpy diagrams), and more

Phase Diagrams and Heterogeneous Equilibria

Author : Bruno Predel
Publisher : Springer Science & Business Media
ISBN 13 : 366209276X
Total Pages : 357 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Phase Diagrams and Heterogeneous Equilibria by : Bruno Predel

Download or read book Phase Diagrams and Heterogeneous Equilibria written by Bruno Predel and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This advanced comprehensive textbook introduces the practical application of phase diagrams to the thermodynamics of materials consisting of several phases. It describes the fundamental physics and thermodynamics as well as experimental methods, treating all material classes: metals, glasses, ceramics, polymers, organic materials, aqueous solutions. With many application examples and realistic cases from chemistry and materials science, it is intended for students and researchers in chemistry, metallurgy, mineralogy, and materials science as well as in engineering and physics. The authors treat the nucleation of phase transitions, the production and stability of technologically important metastable phases, and metallic glasses. Also concisely presented are the thermodynamics and composition of polymer systems. This innovative text puts this powerful analytical approach into a readily understandable and practical context, perhaps for the first time.

CALPHAD (Calculation of Phase Diagrams): A Comprehensive Guide

Author : N. Saunders
Publisher : Elsevier
ISBN 13 : 0080528430
Total Pages : 497 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis CALPHAD (Calculation of Phase Diagrams): A Comprehensive Guide by : N. Saunders

Download or read book CALPHAD (Calculation of Phase Diagrams): A Comprehensive Guide written by N. Saunders and published by Elsevier. This book was released on 1998-06-09 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph acts as a benchmark to current achievements in the field of Computer Coupling of Phase Diagrams and Thermochemistry, often called CALPHAD which is an acronym for Computer CALculation of PHAse Diagrams. It also acts as a guide to both the basic background of the subject area and the cutting edge of the topic, combining comprehensive discussions of the underlying physical principles of the CALPHAD method with detailed descriptions of their application to real complex multi-component materials. Approaches which combine both thermodynamic and kinetic models to interpret non-equilibrium phase transformations are also reviewed.

Polymer-modified Liquid Crystals

Author : Ingo Dierking
Publisher : Royal Society of Chemistry
ISBN 13 : 1782629823
Total Pages : 387 pages
Book Rating : 4.7/5 (826 download)

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Book Synopsis Polymer-modified Liquid Crystals by : Ingo Dierking

Download or read book Polymer-modified Liquid Crystals written by Ingo Dierking and published by Royal Society of Chemistry. This book was released on 2019-01-03 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: A state-of-the-art account of current developments in polymer-dispersed liquid crystals and polymer-stabilized liquid crystals research.

Aqueous Systems at Elevated Temperatures and Pressures

Author : Roberto Fernandez-Prini
Publisher : Elsevier
ISBN 13 : 0080471994
Total Pages : 766 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Aqueous Systems at Elevated Temperatures and Pressures by : Roberto Fernandez-Prini

Download or read book Aqueous Systems at Elevated Temperatures and Pressures written by Roberto Fernandez-Prini and published by Elsevier. This book was released on 2004-07-06 with total page 766 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Association for the Properties of Water and Steam (IAPWS) has produced this book in order to provide an accessible, up-to-date overview of important aspects of the physical chemistry of aqueous systems at high temperatures and pressures. These systems are central to many areas of scientific study and industrial application, including electric power generation, industrial steam systems, hydrothermal processing of materials, geochemistry, and environmental applications. The authors’ goal is to present the material at a level that serves both the graduate student seeking to learn the state of the art, and also the industrial engineer or chemist seeking to develop additional expertise or to find the data needed to solve a specific problem. The wide range of people for whom this topic is important provides a challenge. Advanced work in this area is distributed among physical chemists, chemical engineers, geochemists, and other specialists, who may not be aware of parallel work by those outside their own specialty. The particular aspects of high-temperature aqueous physical chemistry of interest to one industry may be irrelevant to another; yet another industry might need the same basic information but in a very different form. To serve all these constituencies, the book includes several chapters that cover the foundational thermophysical properties (such as gas solubility, phase behavior, thermodynamic properties of solutes, and transport properties) that are of interest across numerous applications. The presentation of these topics is intended to be accessible to readers from a variety of backgrounds. Other chapters address fundamental areas of more specialized interest, such as critical phenomena and molecular-level solution structure. Several chapters are more application-oriented, addressing areas such as power-cycle chemistry and hydrothermal synthesis. As befits the variety of interests addressed, some chapters provide more theoretical guidance while others, such as those on acid/base equilibria and the solubilities of metal oxides and hydroxides, emphasize experimental techniques and data analysis. - Covers both the theory and applications of all Hydrothermal solutions - Provides an accessible, up-to-date overview of important aspects of the physical chemistry of aqueous systems at high temperatures and pressures - The presentation of the book is understandable to readers from a variety of backgrounds

High Pressure Phase Transformations

Author : Evgeniĭ I︠U︡rʹevich Tonkov
Publisher : Gordon & Breach Science Publishers
ISBN 13 : 9782881247613
Total Pages : 394 pages
Book Rating : 4.2/5 (476 download)

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Book Synopsis High Pressure Phase Transformations by : Evgeniĭ I︠U︡rʹevich Tonkov

Download or read book High Pressure Phase Transformations written by Evgeniĭ I︠U︡rʹevich Tonkov and published by Gordon & Breach Science Publishers. This book was released on 1992 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Phase Diagrams

Author : Flake C. Campbell
Publisher : ASM International
ISBN 13 : 1615039864
Total Pages : 471 pages
Book Rating : 4.6/5 (15 download)

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Book Synopsis Phase Diagrams by : Flake C. Campbell

Download or read book Phase Diagrams written by Flake C. Campbell and published by ASM International. This book was released on 2012-01-01 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: This well-written text is for non-metallurgists and anyone seeking a quick refresher on an essential tool of modern metallurgy. The basic principles, construction, interpretation, and use of alloy phase diagrams are clearly described with ample illustrations for all important liquid and solid reactions. Gas-metal reactions, important in metals processing and in-service corrosion, also are discussed. Get the basics on how phase diagrams help predict and interpret the changes in the structure of alloys.

Phase Equilibrium Engineering

Author : Esteban Brignole
Publisher : Elsevier Inc. Chapters
ISBN 13 : 0128082577
Total Pages : 346 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Phase Equilibrium Engineering by : Esteban Brignole

Download or read book Phase Equilibrium Engineering written by Esteban Brignole and published by Elsevier Inc. Chapters. This book was released on 2013-04-02 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Phase equilibrium knowledge is required for the design of all sorts of chemical processes that may involve separations, reactions, fluids flow, particle micronization, etc. Indeed, different phase behavior scenarios are required for a rational conceptual process design. The aim of this chapter is to present the possible fluid mixture phase behavior that can be found in binary, ternary, and multicomponent systems. Moreover, representation of phase behavior in terms of phase diagrams is discussed. Dealing with phase diagrams of complex mixtures is not an easy task for beginners; however, very simple concepts are behind the rules for their construction. Phase diagrams are essential tools for phase equilibrium engineering as they provide valuable hints to understand the process and to assess the feasible and optimum operating regions. In this chapter, the “phenomenological” meaning of each phase behavior and its relation with molecular properties is discussed. A special attention is given to binary system phase behavior. Even though, in practice we rarely found such simple mixtures, they furnish a great deal of information for the understanding of multicomponent systems.

Thermodynamic Data, Models, and Phase Diagrams in Multicomponent Oxide Systems

Author : Olga Fabrichnaya
Publisher : Springer Science & Business Media
ISBN 13 : 9783540140184
Total Pages : 236 pages
Book Rating : 4.1/5 (41 download)

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Book Synopsis Thermodynamic Data, Models, and Phase Diagrams in Multicomponent Oxide Systems by : Olga Fabrichnaya

Thermodynamic Data, Models, and Phase Diagrams in Multicomponent Oxide Systems

Author : Olga Fabrichnaya
Publisher : Springer Science & Business Media
ISBN 13 : 3662105047
Total Pages : 216 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Thermodynamic Data, Models, and Phase Diagrams in Multicomponent Oxide Systems by : Olga Fabrichnaya

Download or read book Thermodynamic Data, Models, and Phase Diagrams in Multicomponent Oxide Systems written by Olga Fabrichnaya and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book involves application of the Calphad method for derivation of a self consistent thermodynamic database for the geologically important system Mg0- Fe0-Fe203-Alz03-Si02 at pressures and temperatures of Earth's upper mantle and the transition zone of that mantle for Earth. The created thermodynamic database reproduces phase relations at 1 bar and at pressures up to 30 GPa. The minerals are modelled by compound energy formalism, which gives realistic descriptions of their Gibbs energy and takes into account crystal structure data. It incorporates a detailed review of diverse types of experimental data which are used to derive the thermodynamic database: phase equilibria, calorimetric stud ies, and thermoelastic property measurements. The book also contains tables of thermodynamic properties at 1 bar (enthalpy and Gibbs energy of formation from the elements, entropy, and heat capacity, and equation of state data at pressures from 1 bar to 30 GPa. Mixing parameters of solid solutions are also provided by the book. Table of Contents Introduction to the Series . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . V Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . VII Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . IX Table of Contents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XI Co-Authors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XIII Vitae of Co-Authors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XV CODATA Task Group on Geothermodynamic Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXIII Chapter 1. Thermodynamics and Modeling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. 1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. 2 Thermodynamic Modeling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. 3 Experimental Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1. 4 Programs and Assessment. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 System and Phases . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1. 5 Chapter 2. Experimental Phase Equilibrium Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 The Si02 System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2. 1 2. 2 The Fe-0 System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2. 3 The Fe-Si-0 System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 2. 4 The Mg0-Si0 System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .