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Published: 01 March 2012
Fig. 3.4 Variation of enthalpy, H , and free energy, G , with temperature for the solid and liquid phases of a pure metal. L , latent heat of melting. T m, equilibrium melting temperature. Adapted from Ref 3.1
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Differential scanning calorimetry data used to measure heat capacity, in th...
Available to PurchasePublished: 30 April 2020
Fig. 3.19 Differential scanning calorimetry data used to measure heat capacity, in this case for a wax blend, showing a broad melting event. The integral of the curve is the basis for calculating the melting enthalpy. Source: Gebelin et al. ( Ref 4 )
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Schematic diagram showing (a) enthalpy vs. temperature for a pure metal, an...
Available to PurchasePublished: 01 March 2012
Fig. 12.8 Schematic diagram showing (a) enthalpy vs. temperature for a pure metal, and (b) DTA signal for melting (bottom) and freezing (top). Adapted from Ref 12.4
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Book Chapter
Free Energy of Pure Substances
Available to PurchaseSeries: ASM Technical Books
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.tb.tm.t52320013
EISBN: 978-1-62708-357-7
..., because C V ≈ 3 R as mentioned in Section 2.3 but α 2 V /β ≈ 10 –3 J/K –2 · mol in Eq 2.14 , the difference between C P and C V is only about 10% even at temperatures near the melting point. Enthalpy of Transformation When a substance is heated or cooled, transformations...
Abstract
This chapter describes the basics of energy and entropy and “free energy.” Fundamentals of internal energy U , the enthalpy H , entropy S , free energies G , and F of a substance are presented. The chapter also presents the thermal vibration model to promote a better understanding of the U , S , and F of the crystal. It covers basic concepts of thermodynamics of magnetic transition and discusses the role and the meaning of magnetic transition in iron and steel. The chapter concludes with a general discussion on an amorphous phase from a thermodynamic viewpoint.
Book Chapter
Abbreviations and Symbols
Available to PurchaseBook: Principles of Soldering
Series: ASM Technical Books
Publisher: ASM International
Published: 01 April 2004
DOI: 10.31399/asm.tb.ps.t62440243
EISBN: 978-1-62708-352-2
... force gauss (alternate cgs-emu system) Gibbs free energy enthalpy heat-affected zone acceleration due to gravity height of solder cap dissolution rate constant stress concentration factor Boltzman constant represents a metal in a reaction microelectromechanical system multi-chip modules parts per...
Abstract
This chapter presents abbreviations and symbols used for soldering.
Book Chapter
Phase Diagram Determination
Available to PurchaseSeries: ASM Technical Books
Publisher: ASM International
Published: 01 March 2012
DOI: 10.31399/asm.tb.pdub.t53420239
EISBN: 978-1-62708-310-2
..., in the case of a binary system, if the overall specimen composition does not vary during a heating process, a phase transition results in a slope change on the TA curve and a thermal spike on the corresponding DTA curve. A schematic of enthalpy versus temperature and the associated DTA curves for melting...
Abstract
This chapter discusses some of the methods and measurements used to construct phase diagrams. It explains how cooling curves were widely used to determine phase boundaries, and how equilibrated alloys examined under controlled heating and cooling provide information for constructing isothermal and vertical sections as well as liquid projections. It also explains how diffusion couples provide a window into local equilibria and identifies typical phase diagram construction errors along with problems stemming from phase-boundary curvatures and congruent transformations.
Book Chapter
Thermodynamics and Phase Diagrams
Available to PurchaseSeries: ASM Technical Books
Publisher: ASM International
Published: 01 March 2012
DOI: 10.31399/asm.tb.pdub.t53420041
EISBN: 978-1-62708-310-2
... in equilibrium. Therefore, T m is the equilibrium melting temperature at the pressure concerned. Fig. 3.4 Variation of enthalpy, H , and free energy, G , with temperature for the solid and liquid phases of a pure metal. L , latent heat of melting. T m, equilibrium melting temperature. Adapted from...
Abstract
This chapter explains how the principles of chemical thermodynamics are used in the construction and interpretation of phase diagrams. After a brief review of the laws of thermodynamics, it describes the concept of Gibbs free energy and its application to transformations that occur in single-component and binary solid solutions. It then examines the relationship between the free energy of a solution and the chemical potentials of the individual components. It also explains how to account for the heat of mixing using quasi-chemical models, discusses the effect of interatomic bond energies and chemical potentials, and shows how the equilibrium state of an alloy can be obtained from free-energy curves.
Book Chapter
Thermodynamics of Solutions
Available to PurchaseSeries: ASM Technical Books
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.tb.tm.t52320055
EISBN: 978-1-62708-357-7
... 3.1.1 The Ways of Mixing of Atoms and Molecules A lot of materials have been developed by melting and mixing different kinds of material. These materials made by “mixing” are divided roughly into three kinds: the solution, the mixture, and the compound ( Fig. 3.1 ). Fig. 3.1 Basic styles...
Abstract
This chapter explains the idea of solution theory and the nature of mixed materials. The chapter considers approximation of free energy by the regular solution model and sublattice model. It discusses chemical potential and nonrandom distribution based on the interactions between solute atoms.
Book Chapter
Thermodynamics of Ordering
Available to PurchaseSeries: ASM Technical Books
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.tb.tm.t52320197
EISBN: 978-1-62708-357-7
... a disordered state is chaotic, entropy S is large and enthalpy H is high. However, S is small and H is low in an ordered state. As a result, the value of free energy G = H ≈ TS is lower in a disordered state at high temperature and in an ordered state at low temperature, so the change in state...
Abstract
This chapter covers the analytical methods developed to characterize ordering phenomena in crystal structures. The chapter gives examples of ordering phenomena and discusses models for long-range ordering, such as the Bragg-Williams-Gorsky (B-W-G) model, and for short-range ordering. Examples of ordering and phase separation due to ordering by the B-W-G model are described. The chapter includes an appendix covering the effect of phase separation inversion type.
Book Chapter
Introduction to Phase Transformations
Available to PurchaseSeries: ASM Technical Books
Publisher: ASM International
Published: 01 June 2008
DOI: 10.31399/asm.tb.emea.t52240053
EISBN: 978-1-62708-251-8
... (K), and S is entropy, a measure of the randomness of the system. Solving for F , the Helmholtz free energy, can be expressed as: (Eq 4.2) F = E − T S A related free energy is the Gibbs free energy, which is defined as: (Eq 4.3) G = H − T S where H is enthalpy...
Abstract
This chapter provides a short introduction to phase transformations, namely, the liquid-to-solid phase transformations that occur during solidification and the solid-to-solid transformations that are important in processing, such as heat treatment. It also introduces the concept of free energy that governs whether or not a phase transformation is possible, and then the kinetic considerations that determine the rate at which transformations take place. The chapter also describes important solid-state transformations such as spinodal decomposition and martensitic transformation.
Book Chapter
Appendix
Available to PurchaseSeries: ASM Technical Books
Publisher: ASM International
Published: 30 September 2024
DOI: 10.31399/asm.tb.pmamfa.t59400391
EISBN: 978-1-62708-479-6
... calorimetry EBM electron beam melting EDS energy-dispersive spectroscopy EELS electron energy loss spectroscopy EPU elastomeric polyurethane ESEM environmental scanning electron microscopy fcc face-centered cubic FCTS flying car transport system FDM fused deposition modeling...
Abstract
This appendix defines abbreviations, acronyms, and symbols presented within this book.
Book Chapter
Structure of Metals and Alloys
Available to PurchaseSeries: ASM Technical Books
Publisher: ASM International
Published: 01 October 2011
DOI: 10.31399/asm.tb.mnm2.t53060013
EISBN: 978-1-62708-261-7
... of equilibrium phase diagrams, the role of enthalpy and Gibb’s free energy in chemical reactions, and a method for determining phase compositions along the solidus and liquidus lines. atomic diffusion body-centered cubic systems crystal defects equilibrium phase diagram face-centered cubic systems...
Abstract
This chapter introduces many of the key concepts on which metallurgy is based. It begins with an overview of the atomic nature of matter and the forces that link atoms together in crystal lattice structures. It discusses the types of imperfections (or defects) that occur in the crystal structure of metals and their role in mechanical deformation, annealing, precipitation, and diffusion. It describes the concept of solid solutions and the effect of temperature on solubility and phase transformations. The chapter also discusses the formation of solidification structures, the use of equilibrium phase diagrams, the role of enthalpy and Gibb’s free energy in chemical reactions, and a method for determining phase compositions along the solidus and liquidus lines.
Book
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2016
DOI: 10.31399/asm.tb.ascaam.9781627082969
EISBN: 978-1-62708-296-9
Book Chapter
Thermal Stresses and Physical Aging
Available to PurchaseSeries: ASM Technical Books
Publisher: ASM International
Published: 01 December 2003
DOI: 10.31399/asm.tb.cfap.t69780295
EISBN: 978-1-62708-281-5
... can lead to drastic or sometimes subtle changes in physical properties. Although aging is often characterized by monitoring changes in excess enthalpy and entropy, these measurements do not necessarily directly correlate with changes in physical properties. Aging temperature ranges have been...
Abstract
In an attempt to explain the stresses encountered in the plastics industry, this article first defines the different types of internal stresses in amorphous polymers. Each type of thermal stress is then discussed in detail, with reference to the mechanism of generation and the effect on engineering properties. Methods of detecting and measuring internal stresses are also presented. The article then describes the combined effects of thermal stresses and orientation that result from processing conditions. Finally, it discusses numerous aspects of physical aging and the use of high-modulus graphite fibers in amorphous polymers.
Book Chapter
Symbols, Abbreviations, and Intermetallic Phase Designations
Available to PurchaseSeries: ASM Technical Books
Publisher: ASM International
Published: 01 December 2016
DOI: 10.31399/asm.tb.ascaam.t59190173
EISBN: 978-1-62708-296-9
... nucleation driving force Δ H , L m enthalpy, latent solidification heat Δ S m entropy of melting Δ T undercooling Δ T F actual undercooling of the eutectic crystallization front α sJ coefficient of the roughness of the crystallization front, S-L interface according to Jackson...
Abstract
This appendix lists the intermetallic phase designations of aluminum-silicon casting alloys and defines symbols and abbreviations associated with the variables, processes, and tools used in microstructural examination.
Book Chapter
Binder Constituents
Available to PurchaseSeries: ASM Technical Books
Publisher: ASM International
Published: 30 April 2020
DOI: 10.31399/asm.tb.bpapp.t59290035
EISBN: 978-1-62708-319-5
... intended to provide strength during the first stage of binder removal. Backbone ingredients usually melt at temperatures typically over 150 °C (300 °F) and cleanly decompose during heating to the sintering temperature. Common examples are polyethylene, polypropylene, ethylene vinyl acetate, and polystyrene...
Abstract
Generally, binders consist of at least three ingredients: a backbone to provide strength (compounds such as polyethylene, polypropylene, ethylene vinyl acetate, and polystyrene); a filler, such as polyacetal and paraffin wax, to occupy space between particles; and additives, such as stearates, stearic acid, or magnesium stearate, as well as phosphates and sulfonates, to adjust viscosity, lubricate tooling, disperse particles, or induce binder wetting of the powder. In the case of binders deposited via ink jet printing, the binder contains solvents to lower the viscosity for easier jetting. The chapter provides a detailed description of these constituents. The requirements of a binder as well as the factors determining the physical and thermal properties of polymers are discussed. Then, two factors associated with solvation of polymers, namely solubility parameter and wetting, are covered. The chapter ends with information on the specification of polymers used in binders.
Book Chapter
How Does Powder Metallurgy Facilitate the Preparation of Intermetallics and High-Entropy Alloys?
Available to PurchaseSeries: ASM Technical Books
Publisher: ASM International
Published: 30 September 2024
DOI: 10.31399/asm.tb.pmamfa.t59400191
EISBN: 978-1-62708-479-6
... the use of the PM principle even before the 19th century, when technology was not developed to melt high-melting-point elements. A versatile, robust, and cost-effective fabrication technique for producing various materials, including those that are challenging by casting routes, PM involves the production...
Abstract
This chapter discusses the growing role of powder metallurgy in the production of intermetallic, Heusler, and high-entropy alloys. It reviews the challenges of producing these materials by conventional methods and the advantages of sinter-based PM techniques. It explains why PM processes are better suited for complex materials than casting and compares the properties of intermetallic, Heusler, and high-entropy alloys prepared by casting and powder-metal techniques.
Book Chapter
Solid Solutions and Phase Transformations
Available to PurchaseSeries: ASM Technical Books
Publisher: ASM International
Published: 01 March 2012
DOI: 10.31399/asm.tb.pdub.t53420015
EISBN: 978-1-62708-310-2
... and vapor areas of the diagram in Fig. 2.2 gives the vapor pressure of the liquid metal as a function of temperature, so the corresponding line for the solid gives the vapor pressure of the solid. It is significant that a solid metal need not melt on being heated. For example, if magnesium is held...
Abstract
This chapter describes the physical characteristics, properties, and behaviors of solid solutions under equilibrium conditions. It begins with a review of a single-component pure metal system and its unary phase diagram. It then examines the solid solution formed by copper and nickel atoms. It discusses the difference between interstitial and substitutional solid solutions and the factors that determine the type of solution that two metals are likely to form. It also addresses the development of intermediate phases, the role of free energy, transformation kinetics, liquid-to-solid and solid-state phase transformations, and the allotropic nature of metals.
Series: ASM Technical Books
Publisher: ASM International
Published: 01 July 2009
DOI: 10.31399/asm.tb.bcp.t52230027
EISBN: 978-1-62708-298-3
... coefficient of thermal expansion crystal structure enthalpy heat capacity nuclear properties physical properties thermal conductivity thermal diffusivity vapor pressure 4.1 Introduction This chapter is divided into five subsections: atomic/crystal structure, elastic properties, thermal...
Abstract
This chapter provides a thorough review of the crystal structure of beryllium and its elastic, thermal, and nuclear properties. It also includes information on electrical and optical properties and an extensive amount of data in the form of tables and plots.
Book Chapter
Pearlite, Ferrite, and Cementite
Available to PurchaseSeries: ASM Technical Books
Publisher: ASM International
Published: 01 January 2015
DOI: 10.31399/asm.tb.spsp2.t54410039
EISBN: 978-1-62708-265-5
... energy ( G ) per unit volume of a phase or combination of phases is defined in terms of other thermodynamic parameters, enthalpy or heat content ( H ), the absolute temperature ( T ), and entropy ( S ) as follows: (Eq. 4.4) G = H − T S Enthalpy is the total energy of a phase...
Abstract
The microstructure of carbon steel is largely determined by the transformation of austenite to ferrite, cementite, and pearlite. This chapter focuses on the microstructures produced by diffusion-controlled transformations that occur at relatively low cooling rates. It describes the conditions that promote such transformations and, in turn, how they affect the structure of various phases and the rate at which they form. The chapter also discusses the concepts of transformation kinetics, minimum free energy, and nucleation and growth, and provides information on alloying, interphase precipitation, and various types of transformations.
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