Effect of crystalline inclusions on the explosive crystallization of amorphous films of pure metals

Kuz'menko, V.M.; Shklovskij, Valerij A.; Vladychkin, A. N.

doi:10.1016/0022-3093(91)90369-h

Cited by 2 publications

(1 citation statement)

References 4 publications

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“…Explosive crystallization occurs in a wide variety of materials. There is literature available on explosive crystallization in antimony (Bostanjoglo & Schlotzhauer, 1981;Coffin, 1935a,b;Coffin & Hubley, 1950;Coffin & Johnston, 1934;Gore, 1855;Götzberger, 1955;Kurtze et al, 1984;Shklovskij & Kuz'menko, 1989), bismuth (Kuz'menko et al, 1991;Shklovskij & Kuz'menko, 1989), germanium (Grigoropoulos et al, 2006;Ohdaira & Matsumura, 2012;Rogers et al, 2006;Sharma et al, 1984;Vega et al, 2005) and silicon (Andrä et al, 1982;Endo et al, 2010;Geiler et al, 1986;Götz, 1986;Knapp & Picraux, 1981;Kuo, 2009;Ohdaira et al, 2009Ohdaira et al, , 2011Ohdaira et al, , 2010aPolman et al, 1989Polman et al, , 1990Smith et al, 2005;Spinella et al, 1998), among others.…”

Section: Methodsmentioning

confidence: 99%

Explosive Crystallization in Thin Amorphous Layers on Heat Conducting Substrates

Buchner

Schneider

2010

2010 14th International Heat Transfer Conference, Volume 3

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The self-sustaining process of transformation from an amorphous state to the crystalline state is considered. The crystallizing layer, which is mounted on a substrate, is assumed to be very thin. Thus the energy balance for the layer reduces to the equation of one-dimensional heat diffusion with a source term due to the local liberation of latent heat and a heat loss term due to thermal contact with the substrate. The crystallization rate is determined by a rate equation based on the crystallization theory due to A.N. Kolmogorov and M. Avrami. Heat conduction in the substrate is described by introducing a continuous distribution of moving heat sources at the interface. The problem is solved numerically with a collocation method. The propagation speed of the crystallization wave is obtained as an eigenvalue. Dual solutions are found below a critical value of a non-dimensional heat-loss parameter, whereas no solution exists above that value.

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Section: Methodsmentioning

confidence: 99%

Explosive Crystallization in Thin Amorphous Layers on Heat Conducting Substrates

Buchner

Schneider

2010

2010 14th International Heat Transfer Conference, Volume 3

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Explosive crystallization in thin amorphous layers on heat conducting substrates

Buchner

Schneider

2015

Journal of Applied Physics

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A model for explosive crystallization in a thin amorphous layer on a heat conducting substrate is presented. For the thin layer, the energy equation is used in a one-dimensional approximation. Heat conduction into the substrate and thermal contact resistance at the interface between layer and substrate are taken into account. Four rate equations are used to describe the kinetics of the homogeneous amorphous-crystalline transition. The whole process is examined as a plane wave of invariant shape in a moving frame of reference. Heat conduction in the substrate is described by introducing a continuous distribution of moving heat sources at the interface. This gives an integral representation for the temperature in the substrate in terms of the unknown source distribution. The integral term implies that there is a non-local influence of the temperature distribution in the layer on the heat loss. A coupled system of an integro-differential equation and four ordinary differential equations is obtained and solved numerically. The propagation velocity of the wave is obtained as an eigenvalue of the system of equations. Varying a non-dimensional heat loss parameter, a critical value is found beyond which no crystallization wave of invariant shape is possible. This can also be interpreted as a certain minimum layer thickness. Temperature and crystallinity distributions are shown for some interesting configurations. Predictions of crystallization-wave velocities and minimum layer thicknesses are compared with experimental values for explosive crystallization in germanium.

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Effect of crystalline inclusions on the explosive crystallization of amorphous films of pure metals

Cited by 2 publications

References 4 publications

Explosive Crystallization in Thin Amorphous Layers on Heat Conducting Substrates

Explosive Crystallization in Thin Amorphous Layers on Heat Conducting Substrates

Explosive crystallization in thin amorphous layers on heat conducting substrates

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