Phase Equilibria Spatial Diagrams

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.

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.

Phase Equilibria in Chemical Engineering is devoted to the thermodynamic basis and practical aspects of the calculation of equilibrium conditions of multiple phases that are pertinent to chemical engineering processes. Efforts have been made throughout the book to provide guidance to adequate theory and practice. The book begins with a long chapter on equations of state, since it is intimately bound up with the development of thermodynamics. Following material on basic thermodynamics and nonidealities in terms of fugacities and activities, individual chapters are devoted to equilibria primarily between pairs of phases. A few topics that do not fit into these categories and for which the state of the art is not yet developed quantitatively have been relegated to a separate chapter. The chapter on chemical equilibria is pertinent since many processes involve simultaneous chemical and phase equilibria. Also included are chapters on the evaluation of enthalpy and entropy changes of nonideal substances and mixtures, and on experimental methods. This book is intended as a reference and self-study as well as a textbook either for full courses in phase equilibria or as a supplement to related courses in the chemical engineering curriculum. Practicing engineers concerned with separation technology and process design also may find the book useful.

Advanced undergraduate/ graduate level textbook which treats the theoretical basis of chemical equilibria and chemical changes.

INFORMATION concerning phase equilibria, such as can be represented by equilibrium diagrams is important in a number of fields of scientific study, and especially in metallurgy, ceramics, and chemistry. Materials of interest in these fields range through single-component to multi-component sys tems, the latter often being very complex. While many industrially im portant systems can be represented adequately by binary equilibrium diagrams, ternary diagrams provide a basis for studying a wide range of the more complex systems, such as are encountered in certain industrial alloys, and in slags and ceramics. A number of texts dealing with ternary systems are already available (see for example references 2-8). Some of these are very comprehensive and include many diagrams, and their use will take the student of the sub ject to an advanced and detailed level of understanding. The present mono graph is intended primarily as an introductory text, which it is hoped will prove useful for undergraduate and postgraduate students of metallurgy and ceramics, in particular. Special attention is given to the requirement of the metallurgist and ceramist to use phase diagrams as a means of under standing phase changes that occur during heating and cooling, as in solidi fication and heat treatment of alloys. This aspect is emphasized in terms of the principles of solidification reactions in relation to solid state constitu tion, particularly making use of liquidus and solidus projections.

Polymeric materials include plastics, gels, synthetic fibres, and rubbers. This text uses fundamental principles to classify phase separation phenomena in polymer systems, and describes simple molecular models explaining the observed behaviour.

This book presents a new and promising technique to grow single crystalline compound semiconductor materials with defined stoichometry. The technique is based on the high-precision experimental determination of the boundaries of the single-phase volume of the solid in the pressure-temperature-composition P-T-X phase space. Alongside test results obtained by the author and his colleagues, the P-T-X diagrams of other important materials (e.g., III-V, V-VI semiconductors) are also discussed.