Crystallization kinetics and the JMAK equation

Weinberg, Michael C.; Birnie, Dunbar P.; Shneidman, Vitaly A.

doi:10.1016/s0022-3093(97)00261-5

Cited by 175 publications

(90 citation statements)

References 19 publications

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“…In case of transformation by homogeneous nucleation we use the phantom nuclei concept [6][7][8]. The critical volume of each of the spherical nuclei with radius c R is volume in the i th iteration can be written in a manner analogous to our earlier work [9] and is computed by the following equation.…”

Section: Transient Homogeneous Nucleationmentioning

confidence: 99%

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Avrami exponent under transient and heterogeneous nucleation transformation conditions

Sinha¹,

Mandal²

2011

Journal of Non-Crystalline Solids

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The Kolmogorov-Johnson-Mehl-Avrami model for isothermal transformation kinetics is universal under specific assumptions. However, the experimental Avrami exponent deviates from the universal value. In this context, we study the effect of transient heterogeneous nucleation on the Avrami exponent for bulk materials and also for transformations leading to nanostructured materials. All transformations are assumed to be polymorphic. A discrete version of the KJMA model is modified for this purpose.Scaling relations for transformations under different conditions are reported.

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Section: Transient Homogeneous Nucleationmentioning

confidence: 99%

“…This theory is universal if the assumed conditions in the model are not violated [6]. However, such conditions are seldom realized experimentally [7].…”

Section: Introductionmentioning

confidence: 99%

Avrami exponent under transient and heterogeneous nucleation transformation conditions

Sinha¹,

Mandal²

2011

Journal of Non-Crystalline Solids

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“…5 commonly used to describe transformations dependent on both time and temperature, such as crystallisation or phase transformation [23][24][25][26]. This indicates that the oxidation process is similar to that of a phase transformation in which the growth rate shows Arrhenius dependency.…”

Section: Accepted Manuscriptmentioning

confidence: 99%

“…An initiation phase wherein the new phase appears, to create nucleation sites, in an essentially random fashion, followed by a growth phase from the nucleation sites and finally a saturation phase as the amount of untransformed material diminishes. Given that the transformation in BAM:Eu includes the emergence of a new phases, it was thought likely that the transformation would follow such as process, at least in parts, and indeed the theory is widely and successfully used to describe transformations such as crystallisation, chemical reactions, phase changes and oxidation [23][24][25][26]. Herein, the transformation has additional features, associated with diffusion for example, so that the actual transformation is more complex than the basic theory suggests.…”

Section: Kineticsmentioning

confidence: 99%

On the kinetics of thermal oxidation of the thermographic phosphor BaMgAL 10 O 17 :Eu

et al. 2016

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Decreased photoluminescence of the phosphor BaMgAL 10 O 17 :Eu due to oxidation of the europium dopant at high temperatures has been a subject of study for many years in relation to its use in lighting applications. However, understanding of the underlying effects that cause this reduction in photoluminescence remains incomplete and some of the mechanisms proposed in the literature are contradictory. Recent use of this phosphor as a thermal history sensor has extended the range of exposure conditions normally investigated in lighting applications to higher temperatures and multiple exposure times. The kinetics of the process were investigated by means of spectroscopy and material characterisation techniques. It was found that changes in the luminescence are the result of two simultaneous processes: the oxidation of Eu 2+ ions (through a process of diffusion) and a phase transition. The level of degradation of the phosphor is suggested to follow the Kolmogorov-JohnsonMehl-Avrami (KJMA) model above 900 °C and thus can be predicted with knowledge of the exposure time and temperature. This is useful in applications of the phosphor as a temperature sensor.

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“…Until recently, the inclusion of finite-size effects into the KJMA theory was performed mainly for thin films [5][6][7][8]. In reference [5], the time cone method is used for this purpose.…”

Section: Introductionmentioning

confidence: 99%

On the kinetics of phase transformation of small particles in Kolmogorov's model

Alekseechkin¹

2008

Condens. Matter Phys.

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The classical Kolmogorov-Johnson-Mehl-Avrami (KJMA) theory is generalized to the case of a finite-size system. The problem of calculating the new-phase volume fraction in a spherical domain is solved within the framework of geometrical-probabilistic approach. The solutions are obtained for both homogeneous and heterogeneous nucleations. It is shown that the finiteness property results in a qualitative distinction of the volume-fraction time dependence from that in infinite space: the Avrami exponent in the process of homogeneous nucleation decreases with time from 4 to 1, i.e. a slowing down of the transformation process takes place. The obtained results can be used, in particular, for controlling the crystallization kinetics in amorphous powders.

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Crystallization kinetics and the JMAK equation

Cited by 175 publications

References 19 publications

Avrami exponent under transient and heterogeneous nucleation transformation conditions

Avrami exponent under transient and heterogeneous nucleation transformation conditions

On the kinetics of thermal oxidation of the thermographic phosphor BaMgAL 10 O 17 :Eu

On the kinetics of phase transformation of small particles in Kolmogorov's model

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