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We developed a consistent mathematical model for isotropic crystal growth on a substrate covered by the mask material with a periodic series of parallel long trenches where the substrate is exposed to the vapor phase. Surface diffusion and…

Materials Science · Physics 2009-11-07 M. Khenner , R. J. Braun , M. G. Mauk

We used molecular dynamics simulations to predict the steady state crystal shape of naphthalene grown from ethanol solution. The simulations were performed at constant supersaturation by utilizing a recently proposed algorithm [Perego et…

The shape of an equilibrium crystal is obtained, according to the Gibbs thermodynamic principle, by minimizing the total surface free energy associated to the crystal-medium interface. To study the solution to this problem, known as the…

Statistical Mechanics · Physics 2013-07-22 Salvador Miracle-Sole

Phase-Field Crystal (PFC) models are able to resolve atomic length scale features of materials during temporal evolution over diffusive time scales. Traditional PFC models contain solid and liquid phases, however many important materials…

Materials Science · Physics 2015-06-16 Edwin J. Schwalbach , James A. Warren , Kuo-An Wu , Peter W. Voorhees

We study an effective model of microscopic facet formation for low temperature three dimensional microscopic Wulff crystals above the droplet condensation threshold. The model we consider is a 2+1 solid on solid surface coupled with high…

Probability · Mathematics 2017-10-12 Dmitry Ioffe , Senya Shlosman

We present the design of a general-purpose convection chamber that produces a stable environment for studying the growth of ice crystals from water vapor in the presence of a background gas. Crystals grow in free fall inside the chamber,…

Materials Science · Physics 2008-09-30 Kenneth G. Libbrecht , Helen C. Morrison

We present measurements of the growth of long columnar ice crystals from water vapor over a broad range of temperatures and supersaturation levels in air. Starting with thin, c-axis ice needle crystals, we observed their subsequent growth…

Materials Science · Physics 2016-02-09 Kenneth G. Libbrecht

We examine the molecular dynamics of crystal growth in the presence of surface melting and surface impurities, and from this propose a detailed microscopic model for the growth of ice from the vapor phase. Our model naturally accounts for…

Materials Science · Physics 2008-10-06 Kenneth G. Libbrecht

According to the Wulff construction the shape of the equilibrium crystal is determined by the surface tension considered as a function of the interface orientation. We present some (conjectured) approximate solutions and some rigorous…

Statistical Mechanics · Physics 2012-06-19 Salvador Miracle-Sole

We discuss the growth process of a crystalline phase out of a metastable over-compressed liquid that is brought into contact with a crystalline substrate. The process is modeled by means of molecular dynamics. The particles interact via the…

Soft Condensed Matter · Physics 2014-08-07 Francesco Turci , Tanja Schilling

This application note describes how to model diffusion-limited crystal growth from vapor using QuickField - a commercial finite-element analysis code. The crystal growth problem is cast into the format of a steady-state heat diffusion…

Materials Science · Physics 2007-05-23 Kenneth G. Libbrecht

Geometrical constructions, such as the tangent construction on the molar free energy for determining whether a particular composition of a solution, is stable, are related to similar tangent constructions on the orientation-dependent…

Materials Science · Physics 2007-05-23 J. W. Cahn , W. C. Carter

We describe a comprehensive model for the formation and morphological development of atmospheric ice crystals growing from water vapor, also known as snow crystals. Our model derives in part from empirical measurements of the intrinsic ice…

Materials Science · Physics 2012-11-26 Kenneth G. Libbrecht

We investigate the growth of a crystal that is built by depositing cubes onto the inside of a corner. The interface of this crystal evolves into a limiting shape in the long-time limit. Building on known results for the corresponding…

Statistical Mechanics · Physics 2012-03-06 Jason Olejarz , P. L. Krapivsky , S. Redner , K. Mallick

We describe an apparatus designed for obtaining precise measurements of the growth rates of ice crystals from water vapor over a range of experimental conditions. Our aim is to produce clean, high-quality test crystals in a well controlled…

Materials Science · Physics 2011-09-08 Kenneth G. Libbrecht

We have designed and constructed an experimental system to study gas bubble growth in slightly supersatu- rated liquids. This is achieved by working with carbon dioxide dissolved in water, pressurized at a maximum of 1 MPa and applying a…

We propose a new type of morphological instability in the diffusion-limited growth of faceted crystals from the vapor phase that can explain the formation of thin ice plates at temperatures near -15 C. The instability appears when the…

Materials Science · Physics 2007-05-23 Kenneth G. Libbrecht

The rigorous microscopic theory of equilibrium crystal shapes has made enormous progress during the last decade. We review here the main results which have been obtained, both in two and higher dimensions. In particular, we describe how the…

Probability · Mathematics 2011-08-25 T. Bodineau , D. Ioffe , Y. Velenik

The metastable vapor-liquid coexistence of short-range attractive fluids hinders the formation of crystal nuclei, which in turn makes difficult the progress of the system towards its vapor-solid ground state. In this letter we show that…

Mesoscale and Nanoscale Physics · Physics 2011-05-16 Gerardo Odriozola , Felipe Jiménez-Ángeles , Pedro Orea

The crystallization proceeds by the advance of the crystal faces into the disordered phase at the expense of the supersaturation which is not sustained in our model. Using a conservation constraint for the transformation ratio and a kinetic…

Materials Science · Physics 2024-03-08 V. V. Ivanov , C. Tielemann , K. Avramova , S. Reinsch , V. Tonchev
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