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      Ice is born in low-mobility regions of supercooled liquid water

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          Significance

          From intracellular freezing to cloud formation, the crystallization of water is ubiquitous and shapes life as we know it. A full comprehension of the ice nucleation process at the molecular scale remains elusive and we cannot predict where nucleation will occur. Using computational techniques we show that homogeneous nucleation in supercooled water happens in immobile liquid regions that emerge from heterogeneous dynamics. With this we link the topics of nucleation and dynamical heterogeneity and open ways to understand and control heterogeneous nucleation in solution, in confinement, or at interfaces via understanding their effects on liquid dynamics.

          Abstract

          When an ice crystal is born from liquid water, two key changes occur: ( i) The molecules order and ( ii) the mobility of the molecules drops as they adopt their lattice positions. Most research on ice nucleation (and crystallization in general) has focused on understanding the former with less attention paid to the latter. However, supercooled water exhibits fascinating and complex dynamical behavior, most notably dynamical heterogeneity (DH), a phenomenon where spatially separated domains of relatively mobile and immobile particles coexist. Strikingly, the microscopic connection between the DH of water and the nucleation of ice has yet to be unraveled directly at the molecular level. Here we tackle this issue via computer simulations which reveal that ( i) ice nucleation occurs in low-mobility regions of the liquid, ( ii) there is a dynamical incubation period in which the mobility of the molecules drops before any ice-like ordering, and ( iii) ice-like clusters cause arrested dynamics in surrounding water molecules. With this we establish a clear connection between dynamics and nucleation. We anticipate that our findings will pave the way for the examination of the role of dynamical heterogeneities in heterogeneous and solution-based nucleation.

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          Most cited references52

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          Nosé–Hoover chains: The canonical ensemble via continuous dynamics

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            Water modeled as an intermediate element between carbon and silicon.

            Water and silicon are chemically dissimilar substances with common physical properties. Their liquids display a temperature of maximum density, increased diffusivity on compression, and they form tetrahedral crystals and tetrahedral amorphous phases. The common feature to water, silicon, and carbon is the formation of tetrahedrally coordinated units. We exploit these similarities to develop a coarse-grained model of water (mW) that is essentially an atom with tetrahedrality intermediate between carbon and silicon. mW mimics the hydrogen-bonded structure of water through the introduction of a nonbond angular dependent term that encourages tetrahedral configurations. The model departs from the prevailing paradigm in water modeling: the use of long-ranged forces (electrostatics) to produce short-ranged (hydrogen-bonded) structure. mW has only short-range interactions yet it reproduces the energetics, density and structure of liquid water, and its anomalies and phase transitions with comparable or better accuracy than the most popular atomistic models of water, at less than 1% of the computational cost. We conclude that it is not the nature of the interactions but the connectivity of the molecules that determines the structural and thermodynamic behavior of water. The speedup in computing time provided by mW makes it particularly useful for the study of slow processes in deeply supercooled water, the mechanism of ice nucleation, wetting-drying transitions, and as a realistic water model for coarse-grained simulations of biomolecules and complex materials.
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              A potential model for the study of ices and amorphous water: TIP4P/Ice.

              The ability of several water models to predict the properties of ices is discussed. The emphasis is put on the results for the densities and the coexistence curves between the different ice forms. It is concluded that none of the most commonly used rigid models is satisfactory. A new model specifically designed to cope with solid-phase properties is proposed. The parameters have been obtained by fitting the equation of state and selected points of the melting lines and of the coexistence lines involving different ice forms. The phase diagram is then calculated for the new potential. The predicted melting temperature of hexagonal ice (Ih) at 1 bar is 272.2 K. This excellent value does not imply a deterioration of the rest of the properties. In fact, the predictions for both the densities and the coexistence curves are better than for TIP4P, which previously yielded the best estimations of the ice properties.
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                Author and article information

                Journal
                Proc Natl Acad Sci U S A
                Proc. Natl. Acad. Sci. U.S.A
                pnas
                pnas
                PNAS
                Proceedings of the National Academy of Sciences of the United States of America
                National Academy of Sciences
                0027-8424
                1091-6490
                5 February 2019
                22 January 2019
                22 January 2019
                : 116
                : 6
                : 2009-2014
                Affiliations
                [1] aDepartment of Physics and Astronomy, University College London , London WC1E 6BT, United Kingdom;
                [2] bThomas Young Centre, University College London , London WC1E 6BT, United Kingdom;
                [3] cLondon Centre for Nanotechnology, University College London , London WC1H 0AH, United Kingdom;
                [4] dDepartment of Chemistry, University of Warwick , Coventry CV4 7AL, United Kingdom;
                [5] eCentre for Scientific Computing, University of Warwick , Coventry CV4 7AL, United Kingdom
                Author notes
                2To whom correspondence should be addressed. Email: angelos.michaelides@ 123456ucl.ac.uk .

                Edited by Pablo G. Debenedetti, Princeton University, Princeton, NJ, and approved December 4, 2018 (received for review October 4, 2018)

                Author contributions: M.F., G.C.S., S.J.C., and A.M. designed research; M.F. and S.J.C. performed research; M.F., G.C.S., and S.J.C. analyzed data; and M.F., G.C.S., S.J.C., and A.M. wrote the paper.

                1Present address: Department of Chemistry, University of Cambridge, Cambridge CB2 1EW, United Kingdom.

                Author information
                http://orcid.org/0000-0001-6790-4301
                http://orcid.org/0000-0002-6156-7399
                http://orcid.org/0000-0003-2708-8711
                http://orcid.org/0000-0002-9169-169X
                Article
                201817135
                10.1073/pnas.1817135116
                6369743
                30670640
                ee1ed957-71a2-4fd5-b92c-75553013d2ae
                Copyright © 2019 the Author(s). Published by PNAS.

                This open access article is distributed under Creative Commons Attribution-NonCommercial-NoDerivatives License 4.0 (CC BY-NC-ND).

                History
                Page count
                Pages: 6
                Funding
                Funded by: EC | FP7 | FP7 Ideas: European Research Council (FP7 Ideas) 100011199
                Award ID: FP/2007-2013
                Award Recipient : Angelos Michaelides
                Funded by: EC | H2020 | H2020 Priority Excellent Science | H2020 European Research Council (ERC) 100010663
                Award ID: 616121
                Award Recipient : Angelos Michaelides
                Funded by: RCUK | Engineering and Physical Sciences Research Council (EPSRC) 501100000266
                Award ID: EP/L000202
                Award Recipient : Martin Fitzner Award Recipient : Gabriele C. Sosso Award Recipient : Stephen J. Cox Award Recipient : Angelos Michaelides
                Funded by: RCUK | Engineering and Physical Sciences Research Council (EPSRC) 501100000266
                Award ID: EP/P020194/1
                Award Recipient : Martin Fitzner Award Recipient : Gabriele C. Sosso Award Recipient : Stephen J. Cox Award Recipient : Angelos Michaelides
                Categories
                Physical Sciences
                Physics
                From the Cover

                nucleation,ice,dynamical heterogeneity,molecular dynamics,supercooled liquids

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