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homogenous nucleation
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Image
Published: 01 December 2008
Fig. 9 Comparison between heterogeneous nucleation (A) and homogeneous nucleation (B) in terms of the relative transformation kinetics below the melting point. The reduced temperature T r = T / T f and time t ∝ l −1 . T g , glass transition temperature
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Image
Published: 27 April 2016
Image
Published: 31 October 2011
Fig. 8 Comparison of free-energy changes associated with homogeneous nucleation, heterogeneous nucleation, and fusion welding
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Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005207
EISBN: 978-1-62708-187-0
.... The article describes nucleation phenomenon such as homogeneous nucleation and heterogeneous nucleation. It examines various grain refinement models, such as the carbide-boride model, the free growth model, and the constitutional undercooling model. The article concludes with information on the thermal...
Abstract
This article discusses selected highlights of thermodynamic relationships during solidification and nucleation kinetics behavior in connection with the basis of nucleation treatments, such as grain refinement and inoculation, to provide a summary of nucleation phenomena during casting. The article describes nucleation phenomenon such as homogeneous nucleation and heterogeneous nucleation. It examines various grain refinement models, such as the carbide-boride model, the free growth model, and the constitutional undercooling model. The article concludes with information on the thermal analysis techniques for assessing grain-refining characteristics during master alloy processing.
Series: ASM Handbook
Volume: 1A
Publisher: ASM International
Published: 31 August 2017
DOI: 10.31399/asm.hb.v01a.a0006311
EISBN: 978-1-62708-179-5
... describes various undercooling methods, including kinetic undercooling, thermal undercooling, constitutional undercooling, and pressure undercooling. For solidification to occur, nuclei must form in the liquid. The article discusses the various types of nucleation: homogeneous nucleation, heterogeneous...
Abstract
Solidification processing is one of the oldest manufacturing processes, because it is the principal component of metal casting processing. This article discusses the fundamentals of solidification of cast iron. Undercooling is a basic condition required for solidification. The article describes various undercooling methods, including kinetic undercooling, thermal undercooling, constitutional undercooling, and pressure undercooling. For solidification to occur, nuclei must form in the liquid. The article discusses the various types of nucleation: homogeneous nucleation, heterogeneous nucleation, and dynamic nucleation. It reviews the classification of eutectics based on their growth mechanism: cooperative growth and divorced growth. The article concludes with a discussion on the solidification structures of peritectics.
Image
Published: 31 October 2011
Fig. 22 Effect of particle radius on energy barrier to ferrite nucleation at inclusions, ast; (heterogeneous), normalized relative to the homogeneous nucleation barrier, Δ G * h (homogeneous). Corresponding energy barrier to nucleation of ferrite at austenite grain boundaries is indicated
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Image
Published: 01 January 1993
Fig. 17 Effect of particle radius on energy barrier to ferrite nucleation at inclusions, Δ G * (heterogeneous), normalized relative to the homogeneous nucleation barrier, Δ G * h (homogeneous). Corresponding energy barrier to nucleation of ferrite at austenite grain boundaries is indicated
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Series: ASM Handbook
Volume: 9
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.hb.v09.a0003731
EISBN: 978-1-62708-177-1
... Abstract Precipitation reactions occur in many different alloy systems when one phase transforms into a mixed-phase system as a result of cooling from high temperatures. This article discusses the homogenous and heterogeneous nucleation and growth of coherent and semicoherent precipitates...
Abstract
Precipitation reactions occur in many different alloy systems when one phase transforms into a mixed-phase system as a result of cooling from high temperatures. This article discusses the homogenous and heterogeneous nucleation and growth of coherent and semicoherent precipitates. It describes two precipitation modes, namely, general or continuous precipitation and cellular or discontinuous precipitation. The article also provides information on the precipitation sequences in aluminum alloys.
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005410
EISBN: 978-1-62708-196-2
... a nucleating system as a homogeneous phase using the classical nucleation theory, along with heterophase fluctuations that led to the formation of precipitates. It discusses the gas cluster dynamics using the kinetic approach to describe nucleation. The article presents key parameters, such as cluster...
Abstract
This article describes the results obtained by Volmer, Weber, Farkas, Becker, and Doring, which constitute the classical nucleation theory. These results are the predictions of the precipitate size distribution, steady-state nucleation rate, and incubation time. The article reviews a nucleating system as a homogeneous phase using the classical nucleation theory, along with heterophase fluctuations that led to the formation of precipitates. It discusses the gas cluster dynamics using the kinetic approach to describe nucleation. The article presents key parameters, such as cluster condensation and evaporation rates, to describe the time evolution of the system. The predictions and extensions of the classical nucleation theory are discussed. The article also provides the limitations of classical nucleation theories in cluster dynamics.
Image
Published: 31 October 2011
Fig. 7 (a) Variation in volume free-energy with temperature for the solid and liquid. (b) Variation in surface energy term, volume free-energy term, and Δ G hom with nucleus radius for homogeneous nucleation
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Book Chapter
Book: Alloy Phase Diagrams
Series: ASM Handbook
Volume: 3
Publisher: ASM International
Published: 27 April 2016
DOI: 10.31399/asm.hb.v03.a0006222
EISBN: 978-1-62708-163-4
.... This process of forming nuclei in the freezing melt and their subsequent growth is characterized as a nucleation and growth process. Fig. 13 Nucleation and growth during solidification. Source: Ref 2 Nucleation can occur by either homogeneous or heterogeneous nucleation. Homogenous nucleation...
Abstract
This article begins with the one-component, or unary, diagram for magnesium. The diagram shows what phases are present as a function of the temperature and pressure. When two metals are mixed in the liquid state to produce a solution, the resulting alloy is called a binary alloy. The article describes the various types of solid solutions such as interstitial solid solutions and substitutional solid solutions. Free energy is important because it determines whether or not a phase transformation is thermodynamically possible. The article discusses the thermodynamics of phase transformations and free energy, as well as kinetics of phase transformations. It concludes with a description of solid-state phase transformations that occur when one or more parent phases, usually on cooling, produces a phase or phases.
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005222
EISBN: 978-1-62708-187-0
... than that predicted using the lever rule ( Ref 9 ). This accounts for the observation that gas porosity occurs in alloys with initial gas concentrations lower than the solubility of the gas in the liquid. Porosity Formation Homogeneous Nucleation Similar to the nucleation of any phase...
Abstract
This article provides a detailed discussion on the causes of formation of shrinkage porosity and gas porosity along with the methods involved in eliminating them. It discusses the process of porosity formation and the factors affecting porosity formation, including alloy composition, external pressure, and cooling conditions.
Book Chapter
Series: ASM Handbook
Volume: 4E
Publisher: ASM International
Published: 01 June 2016
DOI: 10.31399/asm.hb.v04e.a0006250
EISBN: 978-1-62708-169-6
.... annealing castings deformation diffusion coefficient grain growth heat treatment heterogeneous nucleation homogeneous nucleation homogenization isothermal transformation nonferrous metals precipitation hardening recrystallization recrystallization temperature solid-state phase transformation...
Abstract
This article introduces the mechanism of diffusion and the common types of heat treatments such as annealing and precipitation hardening, which are applicable to most ferrous and nonferrous systems. Three distinct processes occur during annealing: recovery, recrystallization, and grain growth. The article also describes the various types of solid-state transformations such as isothermal transformation and athermal transformation, resulting from the heat treatment of nonferrous alloys. It provides information on the homogenization of chemical composition within a cast structure.
Series: ASM Handbook
Volume: 1A
Publisher: ASM International
Published: 31 August 2017
DOI: 10.31399/asm.hb.v01a.a0006304
EISBN: 978-1-62708-179-5
... is an extension of the steady-state homogeneous nucleation theory, fail to match experimental data because the mechanisms of the two types of nucleation are different ( Ref 2 ). Homogeneous nucleation results from the stabilization of a transient grouping of atoms, so that a nucleus consisting of many atoms...
Abstract
The solidification of hypoeutectic cast iron starts with the nucleation and growth of austenite dendrites, while that of hypereutectic iron starts with the crystallization of primary graphite in the stable system or cementite in the metastable system. This article begins with a discussion on the nucleation and growth of austenite dendrites. It describes the nucleation of lamellar graphite, spheroidal graphite, and austenite-iron carbide eutectic. The article reviews three main graphite morphologies crystallizing from the iron melts during solidification: lamellar (LG), compacted or vermicular (CG), and spheroidal. It discusses the metastable solidification of austenite-iron carbide eutectic and concludes with information on gray-to-white structural transition of cast iron.
Series: ASM Handbook
Volume: 6A
Publisher: ASM International
Published: 31 October 2011
DOI: 10.31399/asm.hb.v06a.a0005609
EISBN: 978-1-62708-174-0
... Figure 6 compares examples of homogeneous nucleation in a liquid ( Fig. 6 ) and heterogeneous nucleation on a preexisting mold wall ( Fig. 6 ). The change in free energy associated with homogeneous nucleation (Δ G hom ) is given by ( Ref 4 ): (Eq 3) Δ G hom = − V s Δ G v...
Abstract
This article reviews the fundamental solidification concepts for understanding microstructural evolution in fusion welds. The common concepts, namely, nucleation, competitive grain growth, constitutional supercooling, solute redistribution, and rapid solidification, depend on the solidification parameters during welding, are discussed. The article discusses important solidification parameters, including temperature gradient, solid/liquid interface growth rate, and cooling rate.
Image
Published: 01 December 2004
Fig. 4 Miscibility gap. Region 1: homogenous α is stable. Region 2: homogenous α is metastable, only incoherent phases can nucleate. Region 3: homogeneous α metastable, coherent phases can nucleate. Region 4: homogeneous α unstable, spinodal decomposition occurs. Source: Ref 4
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Image
Published: 27 April 2016
Fig. 16 Miscibility gap. Region 1: Homogenous α is stable. Region 2: Homogenous α is metastable; only incoherent phases can nucleate. Region 3: Homogeneous α is metastable; coherent phases can nucleate. Region 4: Homogeneous α is unstable; spinodal decomposition occurs. Source: Ref 10
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Series: ASM Handbook
Volume: 6
Publisher: ASM International
Published: 01 January 1993
DOI: 10.31399/asm.hb.v06.a0001338
EISBN: 978-1-62708-173-3
... . There are three ways in which a solid can form: homogeneous nucleation, heterogeneous nucleation, and epitaxial growth. Homogeneous nucleation occurs when there is no foreign body (mold wall, solid particle in the melt, etc.) on which to form the solid. Figure 2 shows the balance of the surface tension...
Abstract
The process of solidification is the same in all cases, whether it is the freezing of water on a windshield or in a freezer or the solidification of metal in a casting or in the weld that joins two solids. This article discusses the solidification of alloy welds and provides a comparison of casting and welding solidification. The constitutional supercooling model for describing weld solidification is presented because it qualitatively describes the evolution of different weld microstructures. The article describes the welding rate effect on weld pool shape and microstructure, as well as the nonequilibrium effects.
Series: ASM Handbook
Volume: 9
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.hb.v09.a0003732
EISBN: 978-1-62708-177-1
... ). Fig. 4 Miscibility gap. Region 1: homogenous α is stable. Region 2: homogenous α is metastable, only incoherent phases can nucleate. Region 3: homogeneous α metastable, coherent phases can nucleate. Region 4: homogeneous α unstable, spinodal decomposition occurs. Source: Ref 4...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005432
EISBN: 978-1-62708-196-2
... the assumptions of the JMAK theory: Randomly distributed and homogeneous nucleation Either site saturated or constant nucleation rate Constant and isotropic growth rate Compared to the well-known JMAK results, the kinetics f recrystallization are adequately reproduced, apart from minor...
Abstract
This article examines how cellular automaton (CA) can be applied to the simulation of static and dynamic recrystallization. It describes the steps involved in the CA simulation of recrystallization. These include defining the CA framework, generating the initial microstructure, distributing nuclei of recrystallized grains, growing the recrystallized grains, and updating the dislocation density. The article concludes with information on the developments in CA simulations.
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