Metastability in solid solution growth

Matovic, Marija; Miltenburg, J.C. van; Los, J.

doi:10.1016/j.jcrysgro.2004.11.054

Cited by 5 publications

(4 citation statements)

References 7 publications

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“…The extent of these deviations from equilibrium will depend on the history of the system, especially on the kinetics during the growth, which depend on the growth conditions and also on the scale of the system. The occurrence of such deviations is well known and has also been demonstrated experimentally [1][2][3]. Theoretically, the extent of the deviations was investigated on the basis of a kinetic crystallization model [4,5], both for well-mixing systems [4] and for systems showing phase separation [5].…”

Section: Introductionmentioning

confidence: 85%

“…The exact bulk energy of the binary Kossel crystal (BKM) per particle can be written as: (2) where Z = 6 is the coordination, φ i j is the bond energy between particles of type i and j (i, j = 1, 2) and x i j is the fraction of i j-bonds in the bulk crystal. A relation between these bond energies and the thermodynamic parameters U i and U exc 0 can be derived applying a mean field (MF) approximation.…”

Section: Binary Kossel Modelmentioning

confidence: 99%

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Models for the determination of kinetic phase diagrams and kinetic phase separation domains

Los

Heuvel

Enckevort

et al. 2006

Calphad

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Several theoretical models for the determination of kinetic phase diagrams for solid solution growth from the liquid phase are presented and compared to each other. These models include a Monte Carlo simulation model, used as a reference model, a previously defined analytical model, based on linear non-equilibrium thermodynamics, and a new model, rooted in the kinetics at kink sites.All models have in common that the composition of the growing solid phase tends to the liquid phase composition for increasing undercooling, enhancing mixing even for systems with a strong tendency to phase separation. However, depending on the system parameters considerable quantitative differences can occur between the results from the model based on non-equilibrium thermodynamics and the MC model. Instead, the new model follows very well the trends of the MC simulations, both for well-mixing systems and for phase separating systems.For phase separating systems the analytical models predict kinetic phase separation domains, zones in the kinetic phase diagram yielding steady state growth of more than one solid phase with different compositions. According to MC simulations such domains in phase space correspond to domain formation in real space. Also in this case the new model is consistent with the MC results.

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Section: Introductionmentioning

confidence: 85%

Section: Binary Kossel Modelmentioning

confidence: 99%

Models for the determination of kinetic phase diagrams and kinetic phase separation domains

Los

Heuvel

Enckevort

et al. 2006

Calphad

Self Cite

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“…Furthermore, processes of formation are of theoretical interest for getting better insights about growth features of heterovalent solid solutions, which is still insufficiently known problem [17,18]. Diferences in crystall lattice parameters make a lot of difficulties in formation of SiC/AlN structures.…”

Section: Introductionmentioning

confidence: 99%

Scanning proximal microscopy study of the thin layers of silicon carbide-aluminum nitride solid solution manufactured by fast sublimation epitaxy

Dallaeva

Коростылев

Bilalov

et al. 2013

EPJ Web of Conferences

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Abstract. The objective of the study is a growth of SiC/(SiC) 1-x (AlN) x structures by fast sublimation epitaxy of the polycrystalline source of (SiC) 1-x (AlN) x and their characterisation by proximal scanning electron microscopy and atomic force microscopy. For that purpose optimal conditions of sublimation process have been defined. Manufactured structures could be used as substrates for wide-band-gap semiconductor devices on the basis of nitrides, including gallium nitride, aluminum nitride and their alloys, as well as for the production of transistors with high mobility of electrons and also for creation of blue and ultraviolet light emitters (light-emitted diodes and laser diodes). The result of analysis shows that increasing of the growth temperature up to 2300 K allows carry out sublimation epitaxy of thin layers of aluminum nitride and its solid solution.

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“…Furthermore, it is shown how the applicability of the proposed kinetic model can be extended to determine the excess properties of the solid phase. In previous work [11], a preliminary description of this kinetic approach was given.…”

Section: Introductionmentioning

confidence: 99%

Kinetic approach to the determination of the phase diagram of a solid solution

Matovic

Miltenburg

Oonk

et al. 2006

Calphad

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A binary mixture of 1,4-dichlorobenzene and 1,4-dibromobenzene, as a representative of a system that forms a solid solution, was measured in an adiabatic calorimeter. Several mixtures of different compositions were heated to 380 K, kept in the liquid phase at this temperature overnight, and then cooled slowly down to 250 K. The enthalpy path of the mixture measured during cooling carries the information that enables us to describe the crystallization process. In the first stage, crystallization develops rapidly and clearly deviates from equilibrium, while in the second stage it proceeds significantly slower, whereby we assume that the surface of the solid is in equilibrium with the existing liquid phase at the given temperature during cooling. Such an approach opposes the one that assumes equilibrium between the liquid and solid bulks, known as the equilibrium model. We show that by employing the kinetic model, the experimental enthalpy path of the mixture during cooling in the adiabatic calorimeter can be very successfully reproduced, while the equilibrium model fails in this aspect. Furthermore, we propose a procedure where the kinetic model is used to obtain the excess thermodynamic properties of the solid phase. These quantities enable the calculation of the liquid-solid phase diagram using the excess parameters obtained from the approach that does not assume the overall equilibrium between the phases during the crystallization process.

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Metastability in solid solution growth

Cited by 5 publications

References 7 publications

Models for the determination of kinetic phase diagrams and kinetic phase separation domains

Models for the determination of kinetic phase diagrams and kinetic phase separation domains

Scanning proximal microscopy study of the thin layers of silicon carbide-aluminum nitride solid solution manufactured by fast sublimation epitaxy

Kinetic approach to the determination of the phase diagram of a solid solution

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