Crossover from diffusion-limited to kinetics-limited growth of ice crystals

Shibkov, A. A.; Zheltov, M. A.; Korolev, A. A.; Казаков, А. Л.; Leonov, Andrey

doi:10.1016/j.jcrysgro.2005.08.007

Cited by 78 publications

(76 citation statements)

References 39 publications

(116 reference statements)

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“…To check this conjecture, we estimated the amount of such undercooling from a comparison of the ice I h crystal growth speed (16)(17)(18) and the Clapeyron relation. Before the shock transition in Fig.…”

Section: Resultsmentioning

confidence: 99%

Dynamic pressure-induced dendritic and shock crystal growth of ice VI

Lee

Evans

Yoo

2007

Proc. Natl. Acad. Sci. U.S.A.

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Crystal growth mechanisms are crucial to understanding the complexity of crystal morphologies in nature and advanced technological materials, such as the faceting and dendrites found in snowflakes and the microstructure and associated strength properties of structural and icy planetary materials. In this article, we present observations of pressure-induced ice VI crystal growth, which have been predicted theoretically, but had never been observed experimentally to our knowledge. Under modulated pressure conditions in a dynamic-diamond anvil cell, rough single ice VI crystal initially grows into well defined octahedral crystal facets. However, as the compression rate increases, the crystal surface dramatically changes from rough to facet, and from convex to concave because of a surface instability, and thereby the growth rate suddenly increases by an order of magnitude. Depending on the compression rate, this discontinuous jump in crystal growth rate or ''shock crystal growth'' eventually produces 2D carpet-type fractal morphology, and moreover dendrites form under sinusoidal compression, whose crystal morphologies are remarkably similar to those predicted in theoretical simulations under a temperature gradient field. The observed strong dependence of the growth mechanism on compression rate, therefore, suggests a different approach to developing a comprehensive understanding of crystal growth dynamics.dynamic-diamond anvil cell C rystal morphology and microstructure of ice strongly alter rheological properties of solids and, thus, affect the dynamics and evolution of many water-rich solid bodies in the solar system such as Earth crest, Pluto, Titan, and comets. Crystal growth also exhibits many interesting phenomena such as roughening-faceting transitions (1-3), surface instabilities (4), and fractal and dendritic growth (4, 5). There have been extensive studies (1-6) of the faceting and dendritic shapes of crystals, which represent, respectively, the simplest and the most complex morphologies, and play significant roles in pattern formation, metallurgy, and biology. The two morphologies have been explained by interface-and diffusion-controlled growth, i.e., atomic or molecular attachment kinetics across the interface between liquids and crystals for the former and diffusion of heat or mass for the latter. Growth mechanisms, however, are not very well understood yet, even in the case of simple facet growth, for example, the faceting and surface instability in two dimensions depending on cooling rate or concentration rate (1, 2), and abnormal growth and protrusion at crystal corners and edges (1-3, 7-9).Facet growth has been explained by a geometric model (7) that describes the interface motion of crystals by the shape and position of the crystal surface because of the slow kinetics of atomic or molecular attachment. Interestingly, the geometric model predicts discontinuous behavior of crystal growth on faceting, called shock that forms when two or more facets or edges meet at the same position at the same time. ...

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Section: Resultsmentioning

confidence: 99%

Dynamic pressure-induced dendritic and shock crystal growth of ice VI

Lee

Evans

Yoo

2007

Proc. Natl. Acad. Sci. U.S.A.

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“…8 (28). According to Shibkov et al [3], certain deviations of the theoretical tip velocity from experimental results at higher supercoolings DT might be due to the assumption of small Peclet numbers and non-consi dering the molecular attachment kinetics.…”

Section: Growth Of a Parabolic-shaped Dendritementioning

confidence: 95%

“…The experime ntal results are taken from the work of Shibkov et al [3], who presented three result sets: own results, older data [4][5][6][7][8][9][10] and work of Furukawa and Shimada [11]. Fig.…”

Section: Growth Of a Parabolic-shaped Dendritementioning

confidence: 99%

“…Two cases of particular interest are the 1-D ice-layer growth for which an analytic solution was derived [2] and a 2-D case, where the tip velocity of parabolic-sh aped dendrites is validated along with the experime ntal data of [3][4][5][6][7][8][9][10][11]. Furthermore, the predictive performanc es of the two front capturing methods are mutually compared.…”

Section: Introductionmentioning

confidence: 99%

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Comparative assessment of Volume-of-Fluid and Level-Set methods by relevance to dendritic ice growth in supercooled water

et al. 2013

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a b s t r a c tTwo relevant computatio nal models, one relying on a Level-Set approach, the other one on a Volume-ofFluid tracking procedure with piecewise linear inter face reconstruction, are comparatively assessed in terms of their capability to simulate crystallizatio n of supercooled water. The models are preliminary validated by computing a one-dimensional freezing front propagation for which an analytic solution exists. Afterwards, the tip velocity of two-dimensional dendrites growing in supercooled water is determined and compared with corresponding experimental results and theoretical predictions in the range of supercooling between 1 K and 30 K. Present modeling results following closely both the underlying theory and experimen tal findings show very good mutual agreemen t.

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“…Once the critical germ forms at any point, freezing propagates along the surface at a rate of about 0.1 m s −1 (Rauschenberger et al, 2013;Shibkov et al, 2003Shibkov et al, , 2005. The video recording could determine that the ice phase was nucleated at the interface between the crystal surface and the cell opening and subsequently propagated through our optically probed region.…”

mentioning

confidence: 98%

Probing ice-nucleation processes on the molecular level using second harmonic generation spectroscopy

2015

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Abstract. We present and characterize a novel setup to apply second harmonic generation (SHG) spectroscopy in total internal reflection geometry (TIR) to heterogeneous freezing research. It allows to monitor the evolution of water structuring at solid surfaces at low temperatures prior to heterogeneous ice nucleation. Apart from the possibility of investigating temperature dependence, a major novelty in our setup is the ability of measuring sheet-like samples in TIR geometry in a direct way. As a main experimental result, we find that our method can discriminate between good and poor ice nucleating surfaces. While at the sapphire basal plane, which is known to be a poor ice nucleator, no structural rearrangement of the water molecules is found prior to freezing, the basal plane surface of mica, an analogue to ice active mineral dust surfaces, exhibits a strong change in the nonlinear optical properties at temperatures well above the freezing transition. This is interpreted as a pre-activation, i.e. an increase in the local ordering of the interfacial water which is expected to facilitate the crystallization of ice at the surface. The results are in line with recent predictions by molecular dynamics simulations on a similar system.

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Crossover from diffusion-limited to kinetics-limited growth of ice crystals

Cited by 78 publications

References 39 publications

Dynamic pressure-induced dendritic and shock crystal growth of ice VI

Dynamic pressure-induced dendritic and shock crystal growth of ice VI

Comparative assessment of Volume-of-Fluid and Level-Set methods by relevance to dendritic ice growth in supercooled water

Probing ice-nucleation processes on the molecular level using second harmonic generation spectroscopy

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