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activity coefficients
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Image
Published: 01 December 2008
Fig. 12 Dependence of the activity coefficient of carbon on the mole fraction of carbon in liquid iron at 1550 °C (2820 °F). Source: Ref 23
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Published: 01 December 2008
Fig. 13 Dependence of the activity coefficient of silicon on the mole fraction of silicon in liquid iron at 1600 °C (2910 °F). Source: Ref 23
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Image
Published: 31 August 2017
Image
Published: 31 August 2017
Fig. 4 Dependence of the activity coefficient of carbon on the mole fraction of carbon in liquid iron. (a) At 1550 °C (2820 °F). Source: Ref 7 . (b) At various temperatures from 1460 to 1760 °C (2660 to 3200 °F). Source: Ref 4
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Published: 31 August 2017
Fig. 6 Dependence of the activity coefficient of silicon on the mole fraction of silicon in liquid iron at 1600 °C (2910 °F). (a) Source: Ref 7 . (b) Source: Ref 12
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Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005191
EISBN: 978-1-62708-187-0
... Abstract This article provides accessible information on the thermodynamic properties of liquid aluminum-base and copper-base alloys with the help of phase diagrams. It contains tables that compile the thermodynamic data in the form of activities, activity coefficients, partial molar thermal...
Abstract
This article provides accessible information on the thermodynamic properties of liquid aluminum-base and copper-base alloys with the help of phase diagrams. It contains tables that compile the thermodynamic data in the form of activities, activity coefficients, partial molar thermal properties, and integral molar properties for selected aluminum-based and copper-based alloys.
Image
Published: 31 October 2011
is caused by variations in the activity coefficients with increasing deoxidant concentration. Source: Ref 20
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Image
Published: 01 January 1993
is caused by variations in the activity coefficients with increasing deoxidant concentration. Source: Ref 20
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Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005190
EISBN: 978-1-62708-187-0
... are the respective equilibrium constants for the reactions: (Eq 6) 1 2 O 2 = O (Eq 7) 1 2 S 2 = S and f S is the activity coefficient for 1 wt% S in the standard state. Equation 4 can be derived from Eq 2 . Using known input and desired output sulfur values, Eq 3 gives...
Abstract
This article addresses two issues on thermodynamics, namely, the calculation of solubility lines and the calculation of the activity of various components. It discusses alloying elements in terms of their influence on the activity of carbon. The article describes the desulfurization and deoxidation of cast iron and steel. It illustrates the thermodynamics of the iron-carbon system and the iron-silicon system. The article examines solubility and saturation degrees of carbon in multicomponent iron-carbon systems. One of the main applications of the thermodynamics of the iron-carbon system is the calculation of structure-composition correlations. The article concludes with information on the structural diagrams for cast iron: the Maurer diagram and the Laplanche diagram.
Series: ASM Handbook Archive
Volume: 10
Publisher: ASM International
Published: 01 January 1986
DOI: 10.31399/asm.hb.v10.a0001740
EISBN: 978-1-62708-178-8
... γ i is the activity coefficient for species i, and C i is the concentration. In dilute solutions, the activity coefficient goes to unity, and the activity and concentration are equivalent. At high concentrations or in solutions of high ionic strength, the activity coefficient falls below unity...
Abstract
Potentiometric membrane electrodes are electrochemical devices that can be used to quantify numerous ionic and nonionic species. This class of electrochemical sensors can be divided into ion-selective and gas-sensing membrane electrodes. The first half of this article mainly focuses on the subclasses, the membrane potential, electrode selectivity limitations and the methods of analysis of the ion-selective membrane electrodes. These methods of analysis include the use of calibration curves, addition techniques, subtraction techniques, and titration. The second half outlines gas sensing membrane electrodes, and discusses important elements that must be considered in addition to the potentiometric membrane electrode to ensure proper electrode response. These elements are reference electrodes, temperature controls, recording of the potential with respect to time, electrode storages, and sample pretreatment. The article also explains the applications of the potentiometric membrane electrodes with the aid of an example.
Series: ASM Handbook
Volume: 1A
Publisher: ASM International
Published: 31 August 2017
DOI: 10.31399/asm.hb.v01a.a0006295
EISBN: 978-1-62708-179-5
... (alloys or slags) are strongly non-ideal. The departure from equilibrium (departure from linearity in the activity-concentration relationship) of an element i is measured through the activity coefficient, which is defined using either mole fraction or mass% as: (Eq 5) γ i = a i N i...
Abstract
The control of the solidification process of cast iron requires understanding and control of the thermodynamics of the liquid and solid phases and of the kinetics of their solidification, including nucleation and growth. This article addresses issues that allow for the determination of probability of formation and relative stability of various phases. These include the influence of temperature and composition on solubility of various elements in iron-base alloys; calculation of solubility lines, relevant to the construction of phase diagrams; and calculation of activity of various components. It discusses the role of alloying elements in terms of their influence on the activity of carbon, which provides information on the stability of the main carbon-rich phases of iron-carbon alloys, that is, graphite and cementite. The article reviews the carbon solubility in multicomponent systems, along with saturation degree and carbon equivalent.
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005189
EISBN: 978-1-62708-187-0
... Concentration of component i C p Heat capacity C s Sulfide capacity CE Carbon equivalent d p Particle diameter D Diffusion coefficient DR Desulfurization ratio e i i Interaction coefficient for 1 wt% standard state E Cell potential f i Activity...
Abstract
This article introduces the fundamental concepts of chemical thermodynamics and chemical kinetics in describing presolidification phenomena. For metallurgical systems, the most important thermodynamic variables are enthalpy and Gibbs free energy. A qualitative demonstration of the interrelationship between phase diagrams and thermodynamics is presented. The article discusses processes that generally limit the rates of chemical processes. These include nucleation of the product phase and interphase mass transport. The article provides a discussion on the dissolution of alloy with melting point lower than bath temperature and dissolution of alloy that is solid at bath temperatures.
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005192
EISBN: 978-1-62708-187-0
... pressure of nitrogen in equilibrium with the melt where: (Eq 6) p N 2 S = K N 2 f N 2 ( wt%N ) 2 where K N is the equilibrium constant for Eq 4 , and f N is the activity coefficient of nitrogen with respect to 1 wt%. However, in general, gas diffusion...
Abstract
This article reviews the solubilities of the common gases present in ferrous metals, such as cast irons, and nonferrous metals, such as aluminum, copper, magnesium, and their alloys. The kinetics of the relevant reactions, reactions during solidification, and possible methods of control or removal of the dissolved gases are discussed. The most common method for removing hydrogen from aluminum, copper, and magnesium is inert gas flushing. The article provides information on techniques to overcome gas porosity in ferrous and nonferrous metals.
Series: ASM Handbook
Volume: 13A
Publisher: ASM International
Published: 01 January 2003
DOI: 10.31399/asm.hb.v13a.a0003605
EISBN: 978-1-62708-182-5
... ). This latter quantity is related to the concentration or molality through an activity coefficient. The term is expressed as (Eq 1) pH = − log a H + = − log γ H + m H + where a H + is the hydrogen ion activity, γ H + is the hydrogen ion...
Abstract
This article provides an overview of the degradation of metals and alloys in aqueous systems. The importance of the hydrogen ion lies in its ability to interact with an alloy surface. The article describes the effects of various conditions of pH on corrosion including strongly acid conditions, near-neutral conditions, and strongly basic conditions as well as the effects of temperature on corrosion. The influence of the fluid flow rate on corrosion depends on the alloy, fluid components, fluid physical properties, geometry in which the fluid is contained, and corrosion mechanism. The article discusses the influence of fluid flow rate through specific examples. It concludes with information on how the concentration of dissolved species works with other variables to influence corrosion behavior.
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005415
EISBN: 978-1-62708-196-2
... microstructure activation energy critical nucleus configuration phase-field kinetic equations chemical free energy kinetic coefficients Fundamentals The collection of a hierarchy of structural and chemical nonuniformities (imperfections or defects) in solids constitutes materials crostructure...
Abstract
This article discusses the fundamental aspects of phase-field microstructure modeling. It describes the evolution of microstructure modeling, including nucleation, growth, and coarsening. The article reviews two approaches used in the modeling nucleation of microstructure: the Langevin force approach and explicit nucleation algorithm. Calculation of activation energy and critical nucleus configuration is discussed. The article presents the deterministic phase-field kinetic equations for modeling growth and coarsening of microstructure. It also describes the material-specific model inputs, chemical free energy and kinetic coefficients, for phase-field microstructure modeling. The article provides four examples that illustrate some aspects of phase-field modeling.
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005430
EISBN: 978-1-62708-196-2
...-principles calculations may be available to help estimate difficult-to-measure or metastable diffusion coefficients. Density-functional methods can be used to calculate the self-activation diffusion energies ( Ref 20 ). Embedded-atom potentials can be used to evaluate diffusion mechanisms and determine...
Abstract
Diffusion is the process by which molecules, atoms, ions, point defects, or other particle types migrate from a region of higher concentration to one of lower concentration. This article focuses on the diffusivity data and modeling of lattice diffusion in solid-state materials, presenting their diffusion equations. It discusses different methods for evaluating the diffusivity of a material, including the measurement of diffusion coefficients, composition profiles, and layer growth widths. The article reviews the various types of direct and indirect diffusion experiments to extract tracer, intrinsic, and chemical diffusivities. It provides information on the applications of single-phase and multiphase diffusion.
Image
Published: 31 October 2011
Fig. 2 Schematic showing surface fluid flow (top) and subsurface fluid flow (bottom) in the weld pool. (a) Negative surface tension temperature coefficient (pure material). (b) Positive surface tension temperature coefficient (surface-active elements present)
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Image
Published: 01 January 1993
Fig. 2 Schematic showing surface fluid flow (top) and subsurface fluid flow (bottom) in the weld pool. (a) Negative surface tension temperature coefficient (pure material). (b) Positive surface tension temperature coefficient (surface-active elements present)
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Series: ASM Handbook
Volume: 13A
Publisher: ASM International
Published: 01 January 2003
DOI: 10.31399/asm.hb.v13a.a0003581
EISBN: 978-1-62708-182-5
... a The superscript o (Δ G o , E o ) refers to the standard state, which in this case is the pure material; that is, AgCl. An activity coefficient, γ, is defined in terms of the activity, a , and the mole fraction, X : γ = a / X Note that γ may be less, equal, or greater than unity...
Abstract
Molten salts, in contrast to aqueous solutions in which an electrolyte (acid, base, salt) is dissolved in a molecular solvent, are essentially completely ionic. This article begins with an overview of the thermodynamics of cells and classification of electrodes for molten salts: reference electrodes and indicator electrodes. It explains that corrosion in molten salts can be caused by the solubility of the metal in the salt, particularly if the metal dissolves in its own chloride. The article describes the factors that affect the corrosion of titanium, namely, the titanium chloride content of the magnesium chloride melt, magnesium or sodium content, and oxygen content of the product. It concludes with a discussion on the oxygen activity in the titanium metal product.
Image
Published: 31 August 2017
Fig. 1 Schematic of the formation of residual stresses in cast iron, with indication of which driving mechanisms are active at either the macro- or microscale. CTE, coefficient of thermal expansion
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