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From Hamiltonians to Phase Diagrams

From Hamiltonians to Phase Diagrams
Author: Jürgen Hafner
Publisher: Springer Science & Business Media
Total Pages: 416
Release: 2012-12-06
Genre: Science
ISBN: 3642830587

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The development of the modern theory of metals and alloys has coincided with great advances in quantum-mechanical many-body theory, in electronic structure calculations, in theories of lattice dynamics and of the configura tional thermodynamics of crystals, in liquid-state theory, and in the theory of phase transformations. For a long time all these different fields expanded quite independently, but now their overlap has become sufficiently large that they are beginning to form the basis of a comprehensive first-principles the ory of the cohesive, structural, and thermodynamical properties of metals and alloys in the crystalline as well as in the liquid state. Today, we can set out from the quantum-mechanical many-body Hamiltonian of the system of electrons and ions, and, following the path laid out by generations of the oreticians, we can progress far enough to calculate a pressure-temperature phase diagram of a metal or a composition-temperature phase diagram of a binary alloy by methods which are essentially rigorous and from first prin ciples. This book was written with the intention of confronting the materials scientist, the metallurgist, the physical chemist, but also the experimen tal and theoretical condensed-matter physicist, with this new and exciting possibility. Of course there are limitations to such a vast undertaking as this. The selection of the theories and techniques to be discussed, as well as the way in which they are presented, are necessarily biased by personal inclination and personal expertise.


Methods for Phase Diagram Determination

Methods for Phase Diagram Determination
Author: Ji-Cheng Zhao
Publisher: Elsevier
Total Pages: 522
Release: 2011-05-05
Genre: Technology & Engineering
ISBN: 0080549969

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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 Diagrams of the Elements

Phase Diagrams of the Elements
Author: David A. Young
Publisher: Univ of California Press
Total Pages: 246
Release: 2023-12-22
Genre: Science
ISBN: 0520911482

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The behavior of solid and liquid matter at high pressures and temperatures is best described in a phase diagram, which shows the regions of stability of different phases of the material. Thanks to the diamond-anvil cell, which has made possible much higher pressures, and to new and very accurate theoretical models and methods, Phase Diagrams of the Elements presents the most up-to-date information on the phase behavior of all the chemical elements from hydrogen to fermium. The book summarizes, with the aid of tables and illustrations, the experimental data and the theoretical calculations. Each element is discussed in a separate section. Other chapters deal with methods, the liquid-vapor transition, and an overview of the elements. While comprehensively reviewing all that has been done in this important area, the author also points to questions that need much more experimental and theoretical work.


Phase Diagrams and Thermodynamic Modeling of Solutions

Phase Diagrams and Thermodynamic Modeling of Solutions
Author: Arthur D. Pelton
Publisher: Academic Press
Total Pages: 401
Release: 2018-09-19
Genre: Science
ISBN: 0128016698

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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


Introduction To Phase Diagrams In Materials Science And Engineering

Introduction To Phase Diagrams In Materials Science And Engineering
Author: Hiroyasu Saka
Publisher: World Scientific
Total Pages: 188
Release: 2020-01-08
Genre: Technology & Engineering
ISBN: 9811203725

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'… the author uses color drawings in two-dimensions (2D) and three-dimensions (3D) to help the reader better understand what is happening in the phase diagram. Examples of ternary compounds include important alloys such as stainless steels (Fe-Cr-Ni). These illustrations greatly help one to visualize important points described in each diagram and clarifies difficult processes by also including a step-by-step description of key points through the graph … For material scientists and engineers who need to understand phase diagrams, this book can provide you with that basic knowledge that will make you an expert at reading these sometimes very complicated graphs.'IEEE Electrical Insulation MagazinePhase diagrams are a MUST for materials scientists and engineers (MSEs). However, understanding phase diagrams is a difficult task for most MSEs. The audience of this book are young MSEs who start learning phase diagrams and are supposed to become specialists and those who were trained in fields other than materials science and engineering but are involved in research and/or development of materials after they are employed.Ternary phase diagrams presented in Chapter 4 are far more complex than binary phase diagrams. For this reason, ternary phase diagrams are nowadays less and less taught. However, in ceramics and semiconductors ternary phase diagrams become more and more important. Recent software provides necessary information to handle ternary phase diagrams. However, needless to say, without fundamental knowledge of ternary phase diagrams it is impossible to understand ternary phase diagrams correctly. In this book ternary phase diagrams are presented in a completely original way, with many diagrams illustrated in full color.In this book the essence of phase diagrams is presented in a user-friendly manner. This book is expected to be a Bible for MSEs.


Phase Theory

Phase Theory
Author: H.A.J. Oonk
Publisher: Elsevier
Total Pages: 284
Release: 2012-12-02
Genre: Science
ISBN: 0444599339

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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.


The Boundary Theory of Phase Diagrams and Its Application

The Boundary Theory of Phase Diagrams and Its Application
Author: Muyu Zhao
Publisher: Springer Science & Business Media
Total Pages: 300
Release: 2011-05-30
Genre: Science
ISBN: 364202940X

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The Boundary Theory of Phase Diagrams and Its Application -- Rules for Phase Diagram Construction with Phase Regions and Their Boundaries presents a novel theory of phase diagrams. Thoroughly revised on the basis of the Chinese edition and rigorously reviewed, this book inspects the general feature and structure of phase diagrams, and reveals that there exist actually two categories of boundaries. This innovative boundary theory has solved many difficulties in understanding phase diagrams, and also finds its application in constructing multi-component phase diagrams or in calculating high-pressure phase diagrams. Researchers and engineers as well as graduate students in the areas of chemistry, metallurgy and materials science will benefit from this book. Prof. Muyu Zhao was the recipient of the 1998 Prize for Progress in Science and Technology (for his work on the boundary theory of phase diagrams) awarded by the National Commission of Education, China, and many other prizes.


Phase Equilibria, Phase Diagrams and Phase Transformations

Phase Equilibria, Phase Diagrams and Phase Transformations
Author: Mats Hillert
Publisher: Cambridge University Press
Total Pages: 560
Release: 1998-03-12
Genre: Science
ISBN: 9780521565844

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