Koop, T and Murray, BJ orcid.org/0000-0002-8198-8131 (2016) A physically constrained classical description of the homogeneous nucleation of ice in water. Journal of Chemical Physics, 145 (21). 211915. ISSN 0021-9606
Abstract
Liquid water can persist in a supercooled state to below 238 K in the Earth’s atmosphere, a temperature range where homogeneous nucleation becomes increasingly probable. However, the rate of homogeneous ice nucleation in supercooled water is poorly constrained, in part, because supercooled water eludes experimental scrutiny in the region of the homogeneous nucleation regime where it can exist only fleetingly. Here we present a new parameterization of the rate of homogeneous ice nucleation based on classical nucleation theory. In our approach we constrain the key terms in classical theory, i.e. the diffusion activation energy and the ice-liquid interfacial energy, with physically consistent parameterizations of the pertinent quantities. The diffusion activation energy is related to the translational self-diffusion coefficient of water, for which we asses a range of descriptions and conclude that the most physically consistent fit is provided by a power law. The other key term is the interfacial energy between the ice embryo and supercooled water, whose temperature dependence we constrain using the Turnbull correlation which relates the interfacial energy to the difference in enthalpy between the solid and liquid phases. only adjustable parameter in our model is the absolute value of the interfacial energy at one reference temperature. That value is determined by fitting this classical model to a selection of laboratory homogeneous ice nucleation data sets between 233.6 K and 238.5 K. On extrapolation to temperatures below 233 K, into a range not accessible to standard techniques, we predict that the homogeneous nucleation rate peaks between about 227 and 231 K at a maximum nucleation rate many orders of magnitude lower than previous parameterizations suggest. This extrapolation to temperatures below 233 K is consistent with the most recent measurement of the ice nucleation rate in micrometer-sized droplets at temperatures of 227—232 K on very short time scales using an X-ray laser technique. In summary, we present a new physically-constrained parameterization for homogeneous ice nucleation which is consistent with the latest literature nucleation data and our physical understanding of the properties of supercooled water.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | (c) 2016 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Environment (Leeds) > School of Earth and Environment (Leeds) > Inst for Climate & Atmos Science (ICAS) (Leeds) |
Funding Information: | Funder Grant number NERC NE/I013466/1 EU - European Union 240449 NERC NE/K004417/1 EPSRC EP/M003027/1 EU - European Union 648661 |
Depositing User: | Symplectic Publications |
Date Deposited: | 23 Sep 2016 13:18 |
Last Modified: | 23 Jun 2023 22:14 |
Published Version: | http://dx.doi.org/10.1063/1.4962355 |
Status: | Published |
Publisher: | AIP Publishing |
Identification Number: | 10.1063/1.4962355 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:105135 |